Please help with this answer I will give you Brainly

Please Help With This Answer I Will Give You Brainly

Answers

Answer 1

Answer:

x=1

Step-by-step explanation:

up we have the answer of the question

Please Help With This Answer I Will Give You Brainly
Answer 2

Answer:

the number is 4.

Step-by-step explanation:

The number is 4 because 3 × 4 = 12 and 4^2 = 16.

16 - 12 = 4

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Hope I could help in time.


Related Questions

The table and graph below display data from the Fresh 4 Less farm stand in Austin, Texas. The number of customers and total sales in dollars for several months are displayed. Data downloaded on 2/19/2020 from https://data.world/cityofaustin/cfer-vyii.

Farm Stand Data
Number of Customers 216 254 316 397
Total Sales $1900 $1995 $2606 $3482

When answering the questions below, maintain exactly four decimal places in your intermediate computations. In these problems, intermediate computations refers to your average growth rate calculations.

Use interpolation or extrapolation (whichever is appropriate) to predict the total sales when the farm stand has 280 customers. Round your answer to the nearest whole number. $

Use interpolation or extrapolation (whichever is appropriate) to predict the total sales when the farm stand has 410 customers. Round your answer to the nearest whole number. $

Answers

The total sales when the farm stands have 410 customers will be $4326.

How to calculate the average growth rate?

To predict the total sales when the farm stand has 280 customers, we need to interpolate between the data points for 254 and 316 customers. First, we can calculate the average growth rate between these two data points:

Average growth rate = (ln(2606) - ln(1995)) / (ln(316) - ln(254)) = 0.3763

Using this average growth rate, we can predict the sales for 280 customers as follows:

ln(y) - ln(1995) = 0.3763 x  (ln(280) - ln(254))

ln(y) = 7.5835

[tex]y = e^{7.5} = 1961.36[/tex]

Rounding to the nearest whole number, we predict that the total sales when the farm stands have 280 customers will be $1961.

To predict the total sales when the farm stands have 410 customers, we need to extrapolate beyond the data points. We can use the same average growth rate calculated above to make this prediction:

ln(y) - ln(2606) = 0.3763 x (ln(410) - ln(316))

ln(y) = 8.4256

[tex]y = e^{8.4256}[/tex] = 4326.46

Rounding to the nearest whole number, we predict that the total sales when the farm stands have 410 customers will be $4326.

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Find each function value, if possible. (If an answer is undefined, enter UNDEFINED
g(t) = 5t² - 3t+ 6
(a) g(2)
(b) g(-1)
(c) g(t + 2)

Answers

Answer:

see below

Step-by-step explanation:

g(t) = 5t² - 3t+ 6

g(2) = 5*4 - 3*2 + 6  =20

g(-1) = 5*1 -3* (-1) +6 =5+3+6 = 14

g(t+2) = 5(t+2)² - 3(t+2) + 6

= 5*(t²+4t+4) - 3t -6+6

= 5t²+20t+20-3t

= 5t²+17t+20

What is the inverse of the following statement?
If angle ABC is equilateral, then it is isosceles.

A) If angle ABC is equilateral, then it is isosceles.
B) If angle ABC is isosceles, then it is equilateral.
C) If angle ABC is not isosceles, then it is not equilateral.
D) If angle ABC is not equilateral, then it is isosceles.

Answers

Answer:

D

Step-by-step explanation:

A hockey player passes a puck to his teammate by bouncing it off a wall. The angles formed when the puck hits the wall and bounces off are congruent. Some of the distances are shown.
What is the distance, x, from Player 1 to the wall?
Enter your answer, as a decimal, in the box. Round your answer to the nearest hundredth.

Answers

The answer is 10.67 ft. The distance, x, from Player 1 to wall is 10.67 ft.

Given, Two different triangles for player 1 and player 2.

Both triangles have right angle and same angle where they are connected. So other angle is also same. All angles are same so they are similar triangles. smaller triangle is similar to larger triangle.

The distance x in the figure is required.

The required distance is x = 10.65 ft

The given triangles ABC and CDE are similar by Angle.

B = ∠D = 90°

∠ACB =∠ECD

The ratio of the sides is:

[tex]\frac{BC}{CD} = \frac{12}{9} = \frac{4}{3}[/tex]

So,

[tex]\frac{AB}{ED} =\frac{4}{3}[/tex]

x/8 = 4/3

x = 4/3 * 8

x = 10.65 ft

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Spiral Review (1.0A.C.6) 2. Show how to make a ten to solve 13 - 7. Write the number sentence. Step I 11 19 - ooo = So, 13 - 7 = Step 2​

Answers

The value of (13 - 7) is 6 and it can be determined by using the method of making a group of 10 in which arithmetic operations and rearrangement of the given expression is performed.

What is arithmetic operations?

The term arithmetic stems from the Greek noun arithmos, which means "number," with pauses in Latin, Anglo-French, and Middle English along the route. Even the most elementary math contains a large vocabulary. The study of numbers and their operations, which are relevant to all other fields of mathematics, are part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

Given that, expression: 13 - 7

The steps to determine the value of (13 - 7) by making a group of 10 are as follows:

Step 1 - Breakup 13 into the tens and the ones:

= (10 + 3) - 7

Step 2 - Breakup 7 into the tens and the ones:

= (10 + 3) - (10 - 3)

Step 3 - Rewrite the above expression:

= (10 - 10) + (3 + 3)

Step 4 - Subtraction of 10 by 10:

= (3 + 3)

Step 5 - Addition of 3 by 3:

= 6

So, the value of (13 - 7) is 6 and it can be determined by using the method of making a group of 10.

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The complete question is as follows:

5 Answer:

You are selling tickets for a high school basketball game. Student
tickets cost $3 and general admission tickets cost $5. You sell 350
tickets and collect $1,450. How many general admission tickets did
you sell?
6 Answer:

Use the substitution method to solve the linear system given. Express
the answer as an ordered pair of the form (x,y)
x + y = 5
2x + y = 6
7 Answer:

A music store is selling compact discs for $11.50 and $7.50. You buy
12 discs and spend a total of $110. How many compact discs that cost
$11.50 did you buy?
8 Answer:

Solve the system of equations and express the answer as an ordered
pair of the form (x,y) or write NO SOLUTION if applicable:
x + 2y = 5
2x - 2y = 4
9 Answer:

Solve the system of equations and express the answer as an ordered
pair of the form (x,y) or write NO SOLUTION if applicable:
x + y = 1
x + y = 3

Answers

Answer:

1. 200

2.(1,4)

3.  5

4. (3,1)

5. NO SOLUTION

Step-by-step explanation:

Jordan took out a loan for 14 months and was charged simple interest at an annual rate of 5.75%. If the amount of the loan was $850, what is the amount of interest she had to pay?

Answers

Answer:

$57.02

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I = Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given:

P = $850r = 5.75% = 0.0575t = 14 months = 14/12 years

Substitute the values into the simple interest formula and solve for I:

[tex]\implies I=850 \cdot 0.0575 \cdot \dfrac{14}{12}[/tex]

[tex]\implies I=57.0208333...[/tex]

Therefore, the amount of interest is $57.02 (nearest cent).

Find absolute value integer or simplified fraction!!

Answers

Answer:

1/7

Step-by-step explanation:

Absolute value is the distance from zero. 7 and -1/7 and their distance from zero is not the same, but the distance from zero with the numbers -1/7 and 1/7 are the same. The absolute value, the distance from zero, is both 1/7.

Here is a prism made with 27 cubes that Renata covered with stickers.
You can pull her prism apart using the draggable point.
Fill in the table with the number of cubes in this prism that have 0, 1, 2, and 3 stickers.

Answers

The number of cubes in the prism with stickers 0 - 1, 1 - 6, 2 - 12, and 3 - 8.

What is a cube?

Cubic form is defined as the shape of a cube. Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped.

According to the prism, the cube at the center has no stickers.

Stickers on 0 side = 1

The face of the prism contains cube that would have stickers on one side. The center cubes on each face will have stickers on one side:

Stickers on 1 side = 6

The edges of the prism will have cubes at the center that contain stickers on both sides:

Stickers on 2 side = 4 (3) = 12

Every vertices on the prism will have sticker on three sides.

Sticker on three side = 8

Hence, the number of cubes in the prism with stickers 0 - 1, 1 - 6, 2 - 12, and 3 - 8.

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The correct question is:

For a family dinner, Kiko can make one serving of pasta salad by combining
5
1
2
parts pasta,
2
2
3
parts tomato, and
1
3
4
parts cucumber. If she plans to make
6
servings of pasta salad for the family dinner, how much of each ingredient will Kiko need?


She will need [DROPDOWN 1] parts pasta, [DROPDOWN 2] parts tomato, and [DROPDOWN 3] parts cucumber to make
6
servings of salad.

Answers

The equations for the amount of ingredients is

The amount of pasta = 33 parts pasta

The amount of tomato = 16 parts tomato

The amount of cucumber = 10.5 parts cucumber

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of pasta , tomato and cucumber required to make 6 servings be represented as P , T and C respectively

Now , the equation will be

The amount of pasta for 1 servings = 5 1/2

The amount of pasta for 6 servings P = 6 x ( 5 1/2 )

On simplifying the equation , we get

The amount of pasta for 6 servings P = 33 parts pasta

And ,

The amount of tomato for 1 servings = 2 2/3

The amount of tomato for 6 servings T = 6 x ( 2 2/3 )

On simplifying the equation , we get

The amount of tomato for 6 servings T = 16 parts tomato

And ,

The amount of cucumber for 1 servings = 1 3/4

The amount of cucumber for 6 servings C = 6 x ( 1 3/4 )

On simplifying the equation , we get

The amount of cucumber for 6 servings C = 10.5 parts cucumber

Hence , the equations are solved

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100 POINTS PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

The entry "cash 700000" is listed as a credit in the T account because it represents an increase in the cash balance of the account. In accounting, credits are used to record increases in asset accounts, such as cash. When cash is received, it is recorded as a credit to the cash account, which increases the balance of the account. Therefore, in this case, the entry "cash 700000" is a credit entry because it represents an increase in the cash balance.

which of the following functions grows fastest? group of answer choices n log n n log n n / log n n - log n n log n

Answers

In the following option n log n seems to grow the fastest amongst all according to the size of inputs.

In computer science and mathematics, the running time or complexity of an algorithm is often measured in terms of the size of the input, usually denoted by n. The notation O(f(n)) is used to describe the upper bound on the running time of an algorithm, where f(n) is a function of n.

In the context of comparing growth rates of functions, we usually only consider the highest-degree term of the function. For example, we would say that f(n) = n^2 + n grows as O(n^2), because n^2 grows much faster than n and dominates the running time as n grows larger.

Now, let's consider the functions n, n / log n, n - log n, n log n, and n^2. As n grows, each of these functions grows at a different rate.

1. n grows linearly with n, so it takes more time as the size of the input grows.

2. n / log n grows faster than n, but slower than n log n. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n / log n grows faster.

3. n - log n grows slower than n and n / log n, because log n grows much slower than n, so as n grows larger, n - log n becomes closer to n.

4. n log n grows faster than n, n / log n, and n - log n, but slower than n^2. This is because logarithms grow much slower than linear functions, but as n grows larger, the difference between n and log n becomes larger, so n log n grows faster.

5.n^2 grows much faster than n, n / log n, n - log n, and n log n, so as n grows larger, n^2 becomes much larger than any of these functions.

So, of the options given, n log n grows the fastest, meaning that an algorithm that takes time proportional to n log n will become slower faster as the size of the input grows than an algorithm that takes time proportional to n, n / log n, or n - log n.

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Level I Y.15 Surface area of cubes and prisms RFP
What is the surface area?
29 in
Submit
36 in
5 in
square inches

Answers

The surface area of rectangular prism above is 2738 in².

Rectangular prism

At the picture above is a rectangular prism with the sides 29 in, 36 in and 5 in.

The question is want to know The are

The surface area of a rectangular prism is given by this formula: 

A = 2 (lh +wh + lw )

Substitute the sides of the shapes to the formula

A = 2 (lh +wh + lw )

A= 2( 36.5 + 29.5 + 36.29)

A= 2(180+145+1044)

A= 2(1369)

A=2738 in²

Therefore the surface area is 2738 in².

A right-angle prism is a three-dimensional shape with six faces, where all faces of the prism (top, bottom, and sides) are rectangular and all pairs of opposing faces are congruent. Like all three-dimensional shapes, right-angled prisms have a volume and a surface area. A right angle prism is also called a cuboid 

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What number should go in the space?
Multiplying by 0.65 is the same as decreasing by _____%.

pls show simple working out

Answers

Answer:

0.65*10=6.5

10*0.35=3.5

10-3.5=6.5

So, it is decreasing by 35%

Step-by-step explanation:

Z-scores measure an observation's standing relative to the ____ of the given data set.

Answers

Answer: X and Y values

Step-by-step explanation:

if a slope intercept what is the equation of the line having a slope of 2 and passing through the point (6,24)

Answers

The equation of the line of given slope and point is y = 2x + 12. The solution has been obtained by using the slope-intercept form.

What is slope-intercept form?

The graph of the equation y = mx + b is the line with m as its slope and b as its y-intercept. The slope-intercept form of the linear equation is used when the values of m and b are real integers.

We are given the slope as 2 and which is passing through the point (6,24).

We need to first find the y-intercept using y = mx + b

⇒y = mx + b

⇒24 = 2(6) + b

⇒24 = 12 + b

⇒b = 12

The equation in the slope-intercept form is

y = mx + b

This gives equation as y = 2x + 12.

Hence, the equation of the line of given slope and point is y = 2x + 12.

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For each angle below, determine the quadrant in which the terminal side of the angle is found and find the corresponding reference angle theta¯ .theta= -1pi/3 is found in quadrant ____ and theta¯ = _______theta= -1pi/4 is found in quadrant ____ and theta¯ = _______theta= -5pi/6 is found in quadrant ____ and theta¯ = _______theta= 5 is found in quadrant ____ and theta¯ = _______

Answers

For Ф=-π/3 it is found in second quadrant, Ф=-π/4 is also found in second quadrant and Ф=-5π/6 in fourth quadrant.

What exactly are quadrants?

A quadrant is an area specified by the coordinate system's two axes (x and y). When the two axes, x and y, cross at 90 degrees, the four areas generated are known as quadrants. These areas include both positive and negative x- and y-axis coordinate values. The coordinates reflect a point's location in a quadrant.

In the Coordinate Plane, there are four quadrants.

Based on such values, the graph is split into parts or four quadrants.

The first quadrant is located in the upper right-hand corner of the graph. Both x and y values are positive in this quadrant.

The second quadrant is located in the upper left-hand corner of the graph. The value of x in this quadrant is negative, whereas the value of y is positive.

The third quadrant is located in the graph's lower left-hand corner. It has negative values for both x and y.

Fourth Quadrant: Finally, the fourth quarter is in the lower right-hand corner, with a positive x and a negative y value.

Now,

For quadrants, upto value of π/2 angles are in first qudrants

and upto -π/2 and π/2 to π are in second quadrant

and -π/2 to -π are in fourth quadrant.

Hence,  

          For Ф=-π/3 it is found in second quadrant, Ф=-π/4 is also found in second quadrant and Ф=-5π/6 in fourth quadrant.

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Steve invests $2,807 in a 401k account with a fixed annual interest rate that is compounded continuously. After 13 years, the account balance reaches $9,044.13. What is the interest rate of the account?

Answers

The interest rate of the account that Steve invested in after the given number of years would be = 16%

How to calculate the interest rate of the given account?

The total amount of money invested (p) = $2,807

The time of investment= 13 years

The interest generated at the end of the given years = 9,044.13-2807 = $6,237.13

Therefore the rate = ?

The formula for simple interest:

= P×T×R/100

6,237.13= 2,807× 14 ×r/100

Make r the subject of formula;

r= 6,237.14×100/2807×14

r = 623714/39298

r= 15.87139294

r= 16%

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can someone help me please

here is the picture

Answers

135 and 59 are the values of fog(5) and gof(5) respectively.

Composite functions

Composite functions are also known as function of a function. Given the functions below;

f(x) = x^2 + 6x

g(x) = x + 4

For fog(5)

fog(5) = f(g(5))

f(g(x)) = f(x +4)

f(g(x)) = (x+4)^2 + 6(x+4)

f(g(5)) = (9)^2 + 6(9)

f(g(5)) = 81. + 54 = 135

For gof(5))

g(f(x)) = g(x^2 + 6x)

g(f(x)) = x^2 + 6x + 4

g(f(5)) = 5^2 + 6(5) + 4

g(f(5)) = 59

Hence the value of the composite values fog(5) and gof(5) area 135 and 59

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Which of the following are among the most commonly used metrics for comparing the performance of different companies?
Return on assets
Return on equity
Return on invested capital

Answers

ROA, ROE, and ROIC are important metrics for comparing the performance of different companies and can provide valuable insights into a company's financial health and competitiveness.

Return on assets (ROA), return on equity (ROE), and return on invested capital (ROIC) are among the most commonly used metrics for comparing the performance of different companies. These metrics are widely used by investors, analysts, and other stakeholders to evaluate a company's financial performance and to compare it with other companies in the same industry.

Return on assets (ROA) is a measure of a company's efficiency in using its assets to generate profits. It is calculated by dividing the company's net income by its total assets. A higher ROA indicates that a company is generating more profits from its assets, while a lower ROA suggests that the company is not using its assets as efficiently.

Return on equity (ROE) is a measure of how much profit a company generates in relation to the equity invested by its shareholders. It is calculated by dividing the company's net income by its total equity. A higher ROE indicates that a company is generating more profits for its shareholders and is a sign of a well-managed company.

Return on invested capital (ROIC) is a measure of how much profit a company generates in relation to the capital it has invested in its business. It is calculated by dividing the company's net income by its invested capital. A higher ROIC indicates that a company is generating more profits from its invested capital, while a lower ROIC suggests that the company is not using its capital as effectively.

In summary, ROA, ROE, and ROIC are important metrics for comparing the performance of different companies and can provide valuable insights into a company's financial health and competitiveness.

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The image of a composite figure is shown. A four-sided shape with the bottom side labeled as 20.5 feet. The height is labeled 6 feet. A portion of the top side from the perpendicular to right vertex is labeled 2.1 feet. The portion of the top from the perpendicular to the left vertex is 18.4 feet. What is the area of the figure? 258.3 ft2 129.15 ft2 123 ft2 110.4 ft2

Answers

The area of the given  figure is, 123ft²  .So option c  is correct

What is the area?

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

The given figure can be assumed as a trapezoid with the two parallel sides being the bottom side (20.5 feet) and the top side (from the perpendicular to the right vertex to the perpendicular to the left vertex

= 18.4 + 2.1

= 20.5 feet

The height of the trapezoid is given as 6 feet.

The formula for the area of a trapezoid is:

Area = (sum of the parallel sides) * height / 2

So, in this case, the area of the trapezoid would be:

Area = (20.5 + 20.5) x 6 / 2

        = 41 x 3

        = 123 square feet

Therefore, the answer is 123 square feet.

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Find the length of the third side. If necessary, round to the nearest tenth. 8 12

Answers

The length of the third side is 14.4 units.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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What is your monthly take-home pay 615.29 if your take-home pay is every Monday? Round intermediate calculations and the final answer to the nearest cent; use 365 days in a year.

Answers

My monthly take-home pay would be $2461.16.

My yearly take-home pay would be $29533.92.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

If my take-home pay every Monday is $615.29 then my monthly take-home pay would be,

= (615.29).

= $2461.16  (as we have 4 Mondays in a month).

Now, My take-home pay for a year would be,

= (4×12×615.29).         (as we have 4 Mondays in a month and 12 months in a

                                                                                                                      year)                                                 = $29533.92

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Determine the equation of the linear function that generates the following table of values.

Answers

the equation of the Linear function will be f(x) = -19x + 14.

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a data set of a linear function

The slope-intercept form of the equation of a line

y=mx+b,

where m is the slope

b is the y-intercept (the value of y, at x = 0)

since, slope = (y - y')/(x -x')

In our case,

Slope = (128 -90)/ (-6 + 4)

Slope = 38/-2

Slope = -19

And b = 14 (Given)

Thus,

The equation of Line:

y = -19x + 14

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If a ticket price is lowered by $3.00 for all tickets, how does this demonstrate the income effect

Answers

Answer:

the income affect is changed drastically as now for every person they loose $3.00

so sorry if I'm wrong


Two systems of equations are given below.
For each system, choose the best description of its solution.
If applicable, give the solution.

Answers

Answer:

A: No solution

B: Unique Solution: (0, 0)

Step-by-step explanation:

System A:

In System A, you may notice that in both equations the two equations have variables with the same coefficient, and this is ideal for the elimination method of solving the equation. We want to add the equations in a way that cancels out variables. So let's multiply the top equation by negative one: [tex]-1(2x+3y)=-(9)\implies -2x-3y=-9[/tex]

Now from here we want to add the two equations:

[tex]\ \ -2x-3y=9\\+2x+3y=4\\0+0=13[/tex]

And the statement provided is clearly not true, 0 is never equal to 13, meaning the systems of equation has no solution, which occurs when you have two parallel lines.

System B:

In this case, we can easily solve this using substitution, since y is equal to 7x that means we can substitute in 7x for y in the second equation:

[tex]y=x\implies 7x=x[/tex]

And from here we subtract x from both sides, and divide by 6 giving us:

[tex]x=0[/tex]

And now we can take this value and plug it into either equation to solve for our y value, and it's most convenient to plug it into the y = x equation... since there's nothing to solve, we just get:

y = 0

So x = 0, and y = 0, meaning there is a unique solution of (0, 0)

Mauro has $500 to invest in one of two accounts for 3 years.
Account 1 earns 1.2% interest compounded monthly.
Account 2 earns 1.3% interest compounded semiannually.
Which account has a higher return, and how much?

Answers

Answer: Account 1 earns a higher return over 3 years, with a total of $515.64.

To calculate the return of Account 1:

$500 * (1 + 0.012/12)^(12*3) = $515.64

To calculate the return of Account 2:

$500 * (1 + 0.013/2)^(2*3) = $515.16

Therefore, Account 1 earns a higher return of $515.64 compared to Account 2's return of $515.16.

Step-by-step explanation:

If the ice cream shop owner wants to triple her sale of sundaes from August to September, how many sundaes will she need to sell in September?

Answers

The expression for the number of sundaes shop owner needs to sell in September is 3x.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, the ice cream shop owner wants to triple her sale of sundaes from August to September.

If the ice cream shop owner sold x sundaes in August, then she will sell

3×x=3x sundaes in September.

Therefore, number of sundaes shop owner sold in September is 3x.

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graph the quadrilateral with vertices w(-2,-1) x(-1,3) y (3,3) z(3,-3) and its imagine after rotation 180º about the origin

Answers

The image quadrilateral is identical to the original quadrilateral but has been mirrored across the x- and y-axes.

The coordinates W(-2, 1), X(-1, 3), Y(3, 3), and Z(3, 3) can be plotted to form the quadrilateral's graph as follows:

code is as follows:

     |

     | Y(3,3)

     |

     |

------Z(3,-3)

------

     |

     |

     |

     | X(-1,3)

     |

     |

     |

W(-2,-1)

We may use the following transformation on each vertex to determine the image of this quadrilateral following a 180-degree rotation of the origin:

(x, y) -> (-x, -y) (-x, -y)

As a result, the picture quadrilateral's new vertices are:

W' = (-(-2), -(-1)) = (2, 1) (2, 1)\sX' = (-(-1), -(3)) = (1, -3) (1, -3)\sY' = (-3, -3) = (-3, -3) (-3, -3)\sZ' = (-3, 3) = (3, -3) (3, -3) (3, -3)

To create a quadrilateral image, we can plot these points on the same coordinate plane:

code

     |

     | Y'(3,-3)

     |

     |

------

Z'(3,-3)

------

     |

     |

     |

     | X'(1,-3)

     |

     |

     |

W'(2,1)

It should be noted that the image quadrilateral is identical to the original quadrilateral but has been mirrored across the x- and y-axes.

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Work out the equation of the line which has a gradient of -2 and passes through the point (1,7).

Answers

The equation of line is y = -2x + 9

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 7 )

The slope of the line is m = -2

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 7 = -2 ( x - 1 )

y - 7 = -2x + 2

Adding 7 on both sides of the equation , we get

y = -2x + 9

Hence , the equation of line is y = -2x + 9

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