The following system of equations will be used to answer all remaining questions.
(8 - 12)
x + 2y = 11
2x + 3y = 18
=
Write the system as a matrix equation then identify the coefficient matrix.

The Following System Of Equations Will Be Used To Answer All Remaining Questions.(8 - 12)x + 2y = 112x

Answers

Answer 1

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

Given the system of equation;

x + 2y = 11 2x + 3y = 18

This equation can be represented in matrix form as [tex]AX = b[/tex]

where:

A is the coefficient of  the matrixX is the variablesb is a column matrix

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

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Related Questions

Solve the inequality for x.
9x - 7 < 7x - 25

Answers

Answer:

x<-9

Step-by-step explanation:

subtract the 7x from the right side to bring it over to the left side to get:

2x-7<-25

then add the 7 from the left side to bring it over to the right side to get:

2x<-18 and then divide both sides by 2 to get the final inequality to be:

x<-9

Answer: x < -9Step-by-step explanation:9x - 7 < 7x - 25=> 9x - 7x < 7 - 25=> 2x < -18=> x < -9Conclusion:

Therefore, the solved inequality is x < -9.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value of b?

Answers

If the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833

The given exponential equation is:

[tex]y=ab^x[/tex]

The function passes through the points (3, 25) and (8, 10)

Substitute x = 3 and y = 25 into the function [tex]y=ab^x[/tex]

[tex]25=ab^3[/tex]............................(1)

Substitute x = 8 and y = 10 into the function [tex]y=ab^x[/tex]

[tex]10=ab^8[/tex].............................(2)

Divide equation (2) by equation (1)

[tex]\frac{10}{25}=\frac{ab^8}{ab^3} \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833[/tex]

Therefore, if the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833

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LAST ATTEMPT !! MARKING AS BRAINIEST!!

Answers

Answer: You have to get a better picture cause I cant see but D'C is 8

Step-by-step explanation:

factorise the quadratic expression
pls help me I'll give brainliest
x²+8x-48​

Answers

[tex]x^2+8x-48\\\\=x^2 + 12x -4x -48\\\\=x(x+12) -4(x+12)\\\\=(x-4)(x+12)[/tex]

In the New York marathon there were 45 360 runners. 7 /10 of the runners were women. How many of the runners were men? ​

Answers

Answer:

13,608

Step-by-step explanation:

If 7/10 of the runners were women, than 3/10 of the runners were men. 3/10 of 45,360 runners is 13,608.

Hope this helps! Pls give brainliest! Also, plz sub to kgirl633 on yt.

One advantage of a variable interest rate over a fixed interest rate is that a

variable rate:

A. is often lower initially

B. offers borrowers more flexible terms.

c. can be used for large purchases.

D. increases when the market rate increases

Answers

The term variable implies that the rate is bound to change over time, in this context variable interest rate may double as an Advantage and also as a disadvantage.

D. increases when the market rate increases

Variable interest rate is advantageous because as the market rate increases, the rate at which the customer will receive his/her interest will increase too

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Answer: a

Step-by-step explanation:

A computer can do 1000 operations in 4.5×10^-6 seconds. How many operations can be done by this computer in one hour?

Answers

Answer:

0.00027.

Step-by-step explanation:

All you have to do is do the scientific notation then multiply by 60.

Pls HELPPPPPP!! the answer

Answers

Answer:
( -2,1 )
Hope it helps
Have a good day!!
:))))))

what is the product of -2/7 and -3/7?​

Answers

Answer:

6/49

Step-by-step explanation:

2/7 * 3/7

2 * 3/ 7 * 7

3 * 3/7¹⁺¹

2 * 3/7²

6/49

Answer:

D

Step-by-step explanation:

What is the probability that a random sample of n=45 oil changes results in a sample mean time less than 20 ​minutes?

Answers

Step-by-step explanation:

https://youtu.be/wghLO8hQZrA

watch this video to get the answer and knowledge about this video to get the answer and knowledge about this video to get the answer and knowledge about this video to get the answer and knowledge about this video to get the answer and knowledge about

Date: Pages of * The current ratio of a business is the ratio of its current assets to its current labilities. After consulting with the comptroller, the president of Ace sports equipment company decides to take out a short-term loan to build up inventory. The company has current assets of $350,000 and current labilities of $ 80,000. How much can the company borrow if the current ratio is to be no less than 2.5?

Answers

Answer:

this is wrong answer

Step-by-step explanation:

help plsssssssssssssss

Answers

Answer:

Last answer, height is 150 ft

Step-by-step explanation:

from the graph, you can clearly see, when T=3, H=150

Which means The firework is at a height of 150 feet

Answer:

D

Step-by-step explanation:

At 3 seconds, the firework is at a height of 150 feet

Answer is D. third option

The firework is at a height of 150 feet

Brandon just got a job at a restaurant. He worked 7 hours and got paid $63. He earns the same amount each hour. How much did Brandon make each hour. In complete Sentence

Answers

Answer:

Brandon will make 9 dollars an hour while he works at the resturant

Step-by-step explanation:

63/7=9

Hi!

If he got paid $63 an hour, and he worked 7 hours, we just have to simply divide 63 by 7.

7 goes into 63 nine times, therefore he makes $9 per hour.

Hope this helps and let me know if you need any other help! :D

Find the area of the composite figure.
Next, find the area of the parallelogram.
Triangle
Area = 77 cm
7 cm
Parallelogram
Area = [?] cm2
9 cm
Total Area of
Composite Figure = [ 1 cm2
22 cm

Answers

Answer:

Step-by-step explanation:

trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

What is the LCM between 2 & 7?
bro i need this hella bad

Answers

Answer: 14

the answer is 14

Answer: 14

Step-by-step explanation: LCMof 2 and 7 is the smallest number among all common multiples of 2 and 7. The first few multiples of 2 and 7 are (2, 4, 6, 8, 10, 12, 14, . . . ) and (7, 14, 21, 28, 35, 42, 49, . . . ) respectively.

hlep me it is easy plssssssssssssss

Answers

Answer:

C. (10 - 2) ÷ 4

Step-by-step explanation:

To determine which expression represent a number that is one fourth as great as 10-2 the following logical reasoning has to be made:

Given that a number is raised that is a quarter as large as (10-2), the result of this mathematical operation must be divided by 4.

Thus, since 10 minus 2 is equal to 8 and 8 divided by 4 gives 2, the division is necessary as a mathematical operation.

So, since the only option that raises a division is option C, that's the correct option.

Which of the following expressions represents the expanded version of the expression
below?
7x (8x2 - 4y2 + 3y - 5)
O 15x3 - 11xy2 + 10xy - 12X
O 56x2 - 28xy2 + 21xy - 35x
O 56x3 - 4y2 + 3y - 5
© 56x3 - 28xy2 + 21xy - 35x

Answers

Answer:

4th option

Step-by-step explanation:

7x(8x² - 4y² + 3y - 5) ← multiply each term in the parenthesis by 7x

= 56x³ - 28xy² + 21xy - 35x

The expression in the expended version will be equal to 56x³ - 28xy² + 21xy - 35x. Hence, option D is correct.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given expression,

7x (8x² - 4y² + 3y - 5)

Solve the equation by multiplying 7x with the bracket,

56x³ - 28xy² + 21xy - 35x

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#SPJ2

Diets For You announced today that it will begin paying annual dividends next year. The first dividend will be $0.12 a share. The following dividends will be $0.15, $0.20, $0.50, and $0.60 a share annually for the following 4 years, respectively. After that, dividends are projected to increase by 4 percent per year. How much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent?

Answers

You will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.

Since Diets For You announced today that it will begin paying annual dividends next year, and the first dividend will be $ 0.12 a share, and the following dividends will be $ 0.15, $ 0.20, $ 0.50, and $ 0.60 a share annually for the following 4 years, After that, dividends are projected to increase by 4 percent per year, to determine how much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent, the following calculation must be performed:

8.5 = 0.12 100 = X 100 x 0.12 / 8.5 = X 1.41 = X

Therefore, you will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.

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Find the equation of the line l that is perpendicular to -3x + 6y = 11 and I passes
through the point (-2, 3)

Answers

Answer:

Step-by-step explanation:

-3x + 6y = 11

Put into slope-intercept form to find the slope

6y = 3x + 11

 y = 3x/6 + 11/6

 y = ½x + 11/6

so slope is ½

perpendicular lines have negative reciprocal slopes, so our perpendicular line has slope -2

the slope point form of the perpendicular line will be

(y - 3) = -2(x -(-2))

(y - 3) = -2(x +2)

the slope intercept form will be

y = -2x - 4 + 3

y = -2x - 1

B.match illustrate by using rectangular regions then solve

C.complete each number sentence by writing the missing fraction then use the shaded regions to show the number sentence


WARNING:
I'LL DELETE YOUR ANSWER IF ITS NOT CORRECT

also theres a picture above

(WITH STEP BY STEP EXPLANATION )​

Answers

Fractions can be represented by shading parts of a rectangular region

The simplified expressions are:

[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]

Complete number sentence

To start with, we simplify the fraction expressions as follows:

(1) [tex]\frac 28 + \frac 24 =[/tex]

Take LCM

[tex]\frac 28 + \frac 24 = \frac{2 + 4}8[/tex]

[tex]\frac 28 + \frac 24 = \frac{6}8[/tex]

Simplify

[tex]\frac 28 + \frac 24 = \frac 34[/tex]

(2) [tex]\frac 9{10} - \frac 35 =[/tex]

Take LCM

[tex]\frac 9{10} - \frac 35 =\frac{9 - 6}{10}[/tex]

[tex]\frac 9{10} - \frac 35 =\frac{4}{10}[/tex]

Simplify

[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex]

(3) [tex]\frac 46 - [\ ]=\frac{2}{6}[/tex]

Replace the blank with x

[tex]\frac 46 -x=\frac{2}{6}[/tex]

Collect like terms

[tex]x = \frac 46 -\frac{2}{6}[/tex]

Take LCM

[tex]x = \frac{4 - 2}{6}[/tex]

[tex]x = \frac{2}{6}[/tex]

Simplify

[tex]x = \frac{1}{3}[/tex]

(4) [tex]\frac{}{12} + \frac 26 = \frac{2}{12}[/tex]

Replace the blank with x

[tex]\frac{x}{12} + \frac 26 = \frac{2}{12}[/tex]

Collect like terms

[tex]\frac{x}{12} = \frac{2}{12} -\frac 26[/tex]

Take LCM

[tex]\frac{x}{12} = \frac{2 - 4}{12}[/tex]

[tex]\frac{x}{12} = -\frac{2}{12}[/tex]

Multiply both sides by 12

[tex]x=-2[/tex]

(5) [tex]\frac{9}{18} - \frac{3}{9}[/tex]

Take LCM

[tex]\frac{9}{18} - \frac{3}{9} = \frac{9 - 6}{18}[/tex]

[tex]\frac{9}{18} - \frac{3}{9} = \frac{3}{18}[/tex]

Reduce fraction

[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]

Missing fractions

So, the simplified expressions that contain the missing fractions are:

[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]

Shaded regions

See attachment for the shaded regions

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The area of each square tile is square feet and the area of each triangular tile is square foot.

We will pour sand into each frame to a depth of foot.

image placeholder
ft
Complete the sentence with the amount of sand we will need for each tile.​

We will need

ft of sand for each square tile, and

ft of sand for each triangular tile.

Answers

Answer

hi

Step-by-step explanation:

ok

you will get a 100 points +100 if you get it right

Answers

Answer:

c = 4.2h

Step-by-step explanation:

the rate is 16.80 /4

4.20 per hour

earn = hours * rate

c = 4.20h

Answer:

[tex]c=4.20h[/tex]

Step-by-step explanation:

Given information:

Jasmine earns $25.20 for 6 hours work.Jasmine earns $16.80 for 4 hours work.

Given variables:

c is the amount Jasmine earns (in dollar).h is the number of hours Jasmine works.

To find Jasmine's hourly rate, divide the amount she earns by the number of hours worked:

[tex]\implies \dfrac{25.20}{6}=4.2[/tex]

[tex]\implies \dfrac{16.80}{4}=4.2[/tex]

Therefore, Jasmine earns $4.20 per hour.

The function that shows this information is:

[tex]\large\boxed{c=4.20h}[/tex]

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )

Answers

Answer:

x=7.85

Step-by-step explanation:

Give the triangles we know that:

[tex] \frac{cd}{fh} = \frac{de}{hg} = \frac{ce}{gf} [/tex]

Now we can substitute like usual

[tex] \frac{78}{fh} = \frac{117}{54} = \frac{ce}{5x + 1} [/tex]

Now we simplify the fraction in the middle

the middles fraction will =13/6

Therefore:

[tex] \frac{78}{fh} = \frac{13}{6} [/tex]

so 13fh=468

Therefore: fh=36

Now we can use the Pythagorean theorem

so

[tex]gf = \sqrt{ {54}^{2} - {36}^{2} } [/tex]

so gf=18√5

so 5x+1=18√5

so 5x=-1+18√5

so x=7.85

(I'm not too sure about this one tho)

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.

7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?

1. It cannot be a fraction or decimal because the depth of the well is a whole number.

2. It must be a positive number since it represents a number of hours.

3. It must be a negative number because the depth is below sea level.

4.It cannot be greater than –72 because that is the depth of the well.

Answers

Answer:

Step-by-step explanation:

Is this the entire question? Some of it makes no sense without a diagram or something.

To get rid of A you actually have to solve the equation.

7h – 5(3h – 8) = –72        Remove the brackets

7h - 15h + 40 = - 72          Combine the like terms

- 8h + 40 = - 72                Subtract 40 from both sides

- 8h = -112                        Divide by -8

    h = 14

Well the depth is a whole number so A is true.

We don't know anything about time. But the answer is positive.

C is false because B is true.

We don't know exactly what the depth of the well is.

I would pick A, but you need the entire question.

PLEASE HELP WILL MARK BRAINIEST!!!!!!!!

Answers

Answer:

A.

Step-by-step explanation:

Determine which of the values is a solution of 4t+6 is less than or equal to 10.

Values:
1, -8, -4, 3, 0, 7

Answers

Answer:

1, 3, 7

Step-by-step explanation:

4t + 6≤10

4t≤4

t≤1

Therefore, t can either be equal to or greater than 1.

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

The sequence -1, 1, -1, 1 and so on is

Answers

Answer:

-1 is the next one ithink

I GIVE BRAINLEST !! PLS SLOLVE

Answers

Answer:

√6/2+1

Step-by-step explanation:

multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1

A bakery asks 75 customers to vote for a new bagel flavor. Onion flavor receives 33 votes. Cheddar flavor receives 42 votes. Use this information to answer the questions below. What fraction shows the proportion of customers who voted for cheddar flavor? What percent of customers voted for cheddar flavor?

Answers

Using proportions, it is found that:

The fraction that shows the proportion of customers who voted for cheddar flavor is [tex]\frac{42}{75}[/tex]56% of customers voted for cheddar flavor.

A proportion is the number of desired outcomes divided by the number of total outcomes.A percentage is the proportion multiplied by 100%.

In this question, 42 out of 75 customers voted for the cheddar flavor, hence:

[tex]p = \frac{42}{75}[/tex]

That is, the fraction that shows the proportion of customers who voted for cheddar flavor is [tex]\frac{42}{75}[/tex]

The percentage is:

[tex]\frac{42}{75} \times 100\% = 56\%[/tex]

56% of customers voted for cheddar flavor.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

What do you know about these two lines?

y = 6x - 1
y = -6x - 4

A: The lines are parallel because their slopes are the same.
B: The lines are perpendicular because the slopes are opposites reciprocals
C: The lines are neither parallel nor perpendicular, they just intersect.

Answers

Answer: Choice C

Explanation:

Refer to the y = mx+b form

m = slopeb = y intercept

The slopes are the only thing we focus on. For the equations y = 6x-1 and y = -6x-4, the slopes are 6 and -6 in that order.

The slopes are not equal, so the lines aren't parallel.

The slopes aren't opposite reciprocals of one another, so they aren't perpendicular either. An example of an opposite reciprocal pairing would be 6 and -1/6. Any pair of nonzero opposite reciprocal slopes always multiply to -1.

Therefore, the two lines are neither parallel nor perpendicular, they just intersect.

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