2
Question 10 Multiple Choice Worth 5 points)
(06 02 MC)
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
1
5x + 2y = 2
3x - 3y = 18
The slopes are the same, and the y.Intercepts are the same
The slopes are the same, and the y-intercepts are different
The slopes are different, and the y-intercepts are the same
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Question 1 (Answered)
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BE
C
84'F Rain coming
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2Question 10 Multiple Choice Worth 5 Points)(06 02 MC)Given The Following System Of Equations And Its

Answers

Answer 1

Answer:

the slopes are different, and the y-intercepts are also different

Step-by-step explanation:

We can rewrite the equations given in slope-intercept to easily determine the slope (m) and the y-intercept (b). Slope-intercept equation is y = mx + b

Let's rewrite each equation:

✔️5x + 2y = 2

Subtract 5x from each side

2y = -5x + 2

Divide both sides by 2

y = -5x/2 + 2/2

y = -⁵/2(x) + 1

The slope (m) = -⁵/2

y-intercept (b) = 1

✔️3x - 3y = 18

Subtract 3x from each side

-3y = -3x + 18

Divide both sides by -3

y = -3x/-3 + 18/-3

y = x - 6

Slope (m) = 1

y-intercept (b) = -6

✅Therefore, the slopes are different and the y-intercepts are also different


Related Questions

The equation y = 50(1.05)x models the growth of a mule deer population introduced into Guadalupe National Park in December 2015. "X" represents the number of years after December 2015 while "y" represents the population at time "x". In what year will the mule deer population first reach 1500?


F. 2084

G. 2044

H. 2043

J. 2086

Answers

Answer: (f)

Step-by-step explanation:

Given

The growth equation is [tex]y=50(1.05)^x[/tex]

When population becomes 1500

[tex]\Rightarrow 1500=50(1.05)^x\\\Rightarrow 30=(1.05)^x\\\text{Taking log both sides}\\\Rightarrow \ln (30)=x\ln (1.05)\\\\\Rightarrow x=\dfrac{\ln (30)}{\ln (1.05)}\\\\\Rightarrow x=69.71[/tex]

Thus, after 69.71 years of year 2015 i.e. [tex]2015+69.71=2084.71[/tex]. In year 2084, it becomes 1500.

option (f) is correct.

2 Vince worked 506 hours in 11 weeks. At what rate did he work in hours per week? ​

Answers

Answer:

46 hours per week

Step-by-step explanation:

diide 506 by 11 weeks!

Find the value of x° in rhombus ABCD.

Answers

sorry but we need to see the actual picture


The cost of 8 chalk markers in a store is $12.20. Ava buys 20 chalk markers from the store. How much will Ava pay at the store?

Answers

Answer: 0.61

Step-by-step explanation:

Divide 12.2 by 20

I am not sure if this is the answer you can try it

Answer:

$30.50

Step-by-step explanation:

20 x 12.20 = 244

244 divided by 8 = $30.50

When an airplane is 35,000 feet from an air traffic control tower, the angle of elevation between the tower and the airplane is.



What is the approximate altitude, a, of the plane at this point?
A. 45,689 feet
B. 26,812 feet
C. 29,369 feet
D. 41,711 feet

Answers

Answer:

26,812 ft

Step-by-step explanation:

The drawing given is very helpful in this case.  When solving problems like this, it's important to realize what trigonometric ratio we're going to use.  From the given angle (50°), we are given the hypotenuse (35,000 ft) and we're trying to solve for the opposite side ([tex]a[/tex]).  

So since we're trying to find the opposite side side and we have the hypotenuse, we should try to find a trigonmetric ratio between the opposite side and the hypotenuse.  Using SOH-CAH-TOA, hopefully you can see that we should pick SOH (i.e. [tex]\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]).  Therefore, we can set up our equation given the angle [tex]\theta=50^\circ[/tex].  

[tex]\sin(50^\circ)=\frac{a}{35000}[/tex]

Since we're solving for [tex]a[/tex], we can just rearrange to get [tex]a=35000\sin(50^\circ)=26812[/tex]

Therefore, the plane's altitude [tex]a[/tex] is 26,812 ft.

The approximation altitude of the plane at 35,000 feet from an air traffic control tower will be 26812 feet hence option (B) will be correct.

What is a trigonometric function?

the trigonometric functions are real functions for only an angle of a right-angled triangle to ratios of two side lengths.

The domain input value for the six basic trigonometric operations is the angle of a right triangle, and the result is a range of numbers.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

Given that 35000 feet are the distance between a plane and the air traffic control tower.

Hypotaneous =  35000 feet

The angle of elevation is 50°

By trigonometric function sin

Sinx = perpendicular/hypotaneous

Sin50° = Altitude/35000

Altitute = 35000 × sin50°

Altitude = 26811.55 ≈ 26812 feet will be the correct answer.

For more information about the trigonometric function

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point o is the center of this circle what is m angle CAB
a 55
b 48
c 45
d 35​

Answers

Answer:

m< CAB = ½× 96° = 48° (option b)


Solve for x. Round to the nearest tenth if necessary.

A. 28
B. 30.1
C. 41.1
D. 30

Answers

Answer: 41.1

Step-by-step explanation:

To find the value of x, we need to use SOH-CAH-TOA. SOH-CAH-TOA is since, cosine, and tangent. The O, A, H stands for opposite, adjacent, and hypotenuse respectively.

Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.

[tex]cos(47)=\frac{28}{x}[/tex]             [multiply both sides by x]

[tex]xcos(47)=28[/tex]           [divide both sides by cos(47)]

[tex]x=\frac{28}{cos(47)}[/tex]

When we plug that into a calculator, we get x=41.1.

Answer:

ans: 41.1

Step-by-step explanation:

in given figure 47° is reference angle so considering the given sides and reference angle use cosine

I.e

cos47° = 28/x

x = 28 / cos47°

x = 41.1

WILL GIVE BRAINLIESTTT!!!! PLS HELP

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Create a proportion using the form %/100 = is/of to represent the following word problem.

Seven is what percent of 30?

Answers

7/30 x 100 = approx 23.3%

In the last six months, Sonia's family used 529, 499, 651, 652, 1,163, and 310 minutes on their cell phone plan. To save money, Sonia's family wants to keep their mean cell phone usage below 600 minutes per month.

By how many minutes did they go over their goal in the last six months?

Answers

Answer:

They went over their goal for the last six months by 34 minutes per month.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the size of the data-set.

529, 499, 651, 652, 1,163, and 310 minutes on their cell phone plan.

The mean is:

[tex]M = \frac{529+499+651+652+1163+310}{6} = 634[/tex]

By how many minutes did they go over their goal in the last six months?

The mean was of 634 minutes, and they wanted to keep it below 600. So

634 - 600 = 34

They went over their goal for the last six months by 34 minutes per month.

A. 11.1
B. 6.7
C. 13
D. 4.1

Answers

Answer:

C. 13

Line AE & Line AD have the same in measurement.

what is 7x+3y=9 in y-intercept form?

Answers

Answer:

y = -2 1/3+3

Step-by-step explanation:

-Subtract 7x from each side of equation

-divide by 3 on each side

7x+3y = 9

3y = -7x+9

y = -7/3+3

:) ur welcome

help i got to pee!!!!!!!!!!!!1

Answers

Answer:

23s - 7

Step-by-step explanation:

17s - 10 + 6s + 3

=23s - 7

Answer:

[tex]23s-7[/tex]

Step-by-step explanation:

Given:

[tex]17s-10+3(2s+1)[/tex]

Distribute the parenthesis

[tex]17s-10+6s+3[/tex]

Combine like terms

[tex]23s-7[/tex]

Hope this helps

I need help please, i dont understand

Answers

9514 1404 393

Answer:

  (a)  none of the above

Step-by-step explanation:

The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.

The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)

This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."

This function has a=1, b=1, and c=3. The minimum of the function is where ...

  x = -b/(2·a) = -1/(2·1) = -1/2

This value is not listed among the answer choices, so the correct choice for this function is ...

  none of the above

__

The attached graph of the function confirms that the minimum is located at x=-1/2

_____

Additional comment

When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.

X+ 5
If m(x) =x-1 and n(x) = x-3, which function has the same domain as (mon)(x)?
X+5
O (x)=
11
11
o h(x)=
X-1
11
O (X)=
X-4
11
Oh(x) =
X-3

Answers

Answer:

third option

Step-by-step explanation:

m(n(x)) =

[tex] \frac{x - 3 + 5}{x - 3 - 1} = \frac{x + 2}{x - 4} [/tex]

the domain of this is R/(4)

so as the third option

The function that has the same domain as (m o n)(x) is

h(x) = 11 / (x - 3)

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

m(x) = (x + 5)/ (x - 1) and n(x) = x - 3,

Now,

(m o n)(x)

= m (n(x)

= m (x - 3)

= (x - 3 + 5) / (x - 3 - 1)

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

We can not have x = 3.

So,

The domain can not have x = 3.

From the options,

h(x) = 11 / (x - 3) can not have x = 3.

Thus,

The function that has the same domain as (m o n)(x) is

h(x) = 11 / (x - 3)

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(07.04 LC)What is the solution to the equation ax = 2?
Ox= 1
Ox=1
- کی
Ox= 3
O x = 12
Plz helppp

Answers

Answer:

x=12 .  

Step-by-step explanation:

See image below:)

At Western University the historical mean of scholarship examination scores for freshman applications is 900. Ahistorical population standard deviation \sigmaσ= 180 is assumed known.
Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed.
a. State the hypotheses.
b. What is the 95% confidence interval estimate of the population mean examination
score if a sample of 200 applications provided a sample mean \overline x
x
= 935?
c. Use the confidence interval to conduct a hypothesis test. Using \alphaα= .05, what is your
conclusion?
d. What is the p-value?

Answers

Answer:

(910.053 ; 959.947)

Pvalue = 0.00596

Step-by-step explanation:

Given :

Population mean, μ = 900

Sample size, n = 200

Population standard deviation, σ = 180

The hypothesis :

H0 : μ = 900

H0 : μ ≠ 900

The 95% confidence interval:

Xbar ± Margin of error

Margin of Error = Zcritical * σ/√n

Since the σ is known, we use the z- distribution

Zcritical at 95% confidence = 1.96

Hence,

Margin of Error = 1.96 * 180/√200

Margin of Error = 24.947

95% confidence interval is :

935 ± 24.947

Lower boundary = 935 - 24.947 = 910.053

Upper boundary = 935 + 24.947 = 959.947

(910.053 ; 959.947)

Hypothesis test :

Test statistic

(935- 900) ÷ (180/√(200))

Test statistic = 2.750

Pvalue from Test statistic ;

Pvalue = 0.00596

Pvalue < α ; Reject H0 and conclude that score has changed

Hence, we can conclude that the score has changed

Given the system of equations, what is the solution? 2x+y = -1 х- у = -5​

Answers

Answer:

x=-2, y=3

Step-by-step explanation:

make it easy first, solve for x in the second equation: x= -5+y.

then sub that in for the other x: 2(-5+y)+y= -1

now combine like terms: -10+3y= -1

solve for y: 3y=9, y= 3

then replace y for your second equation: x-3= -5

solve for x= -5+3.... so then its -2

check by replacing all variables with your new solutions:

2(-2), which is -4+3 does equal -1

(-2) -3 does equal -5.

your answers are x=-2, y=3

hat is TR(N)* 2 calculated?

Answers

The answer is A I just took the test

Which additional facts prove that RST and
WXY are congruent? (Geometry)

Answers

Answer:

Option C

Step-by-step explanation:

In the given triangles ΔRSW and ΔWXY,

m(∠S) = m(∠X) = 60° [Given]

Properties of congruence of two triangles applicable in this question,

SAS or ASA

For the congruence of two triangles by the property SAS,

"Two corresponding sides and the included angle should be congruent"

RS ≅ WX, ST ≅ XY and ∠S ≅ ∠X

Which is not given in any option.

For the congruence of two triangles by the property ASA,

"Two consecutive angles and the side having these angles should be congruent"

∠R ≅ ∠W, ∠S ≅ ∠X and RS ≅ XY

Option C will be the correct option.

If a regular polygon has exterior angles that measure 36° each, how many sides does the polygon have? O A. 12 O B. 6 O c. 10 O D.8​

Answers

Answer:

A decagon with has 10 sides.

The polygon has 10 sides.

What are Polygons?

Polygons are closed figures which has at least three set of line segments joined together.

The polygon with least number of sides is triangle.

Regular polygons are polygons which are having all the sides and interior angles equal to each other.

Given that,

Each exterior angle of the polygon = 36°

Sum of the exterior angles of a polygon is always 360°.

So,

Each exterior angle of a regular polygon = 360° / Number of sides

Number of sides of the polygon = 360° / measure of each exterior angle

Substituting,

Number of sides = 360° / 36°

                            = 10

Hence there are 10 sides for the polygon.

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on a tv game show,omar needs answer 7 out of every 10 questions correctly. There will be 30 questions in all

Answers

He Has To Get 21/30 Questions Right, Or 0.7%(70%) Right.

reflection across x=-2​

Answers

The reflection of the point (x, y) across the y-axis is the point (-x, y). When you reflect a point across the line y = x, the x-coordinate and the y-coordinate change places. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).

Answer:

The reflection of the point (x, y) across the y-axis is the point (-x, y). When you reflect a point across the line y = x, the x-coordinate and the y-coordinate change places. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).

Step-by-step explanation:

Which function results after applying the sequence of transformations to
f(x) = x5?
• reflection over the x-axis
• vertically stretch by a factor of 2
• shift down 1 unit

Answers

Answer:

A. g(x) = -2x^5 - 1.

Step-by-step explanation:

Reflection over the x axis results in the function -x^5.

Vertical stretch of 2 gives -2x^5

Finally a shift down of 1 unit gives -2x^5 - 1

The function results after applying the sequence of transformations to

f(x) = x⁵ is,

⇒ g(x) = -2x⁵ - 1.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now,

After Reflection over the x axis results in the function is,

g (x) = - x⁵

And, After Vertical stretch of 2 gives,

g (x) = -2x⁵

Then, Finally a shift down of 1 unit gives,

g (x) = -2x⁵ - 1

Thus, The function results after applying the sequence of transformations to f(x) = x⁵ is,

⇒ g(x) = -2x⁵ - 1.

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In an attempt to clean up your room, you have purchased a new floating shelf to put some of your 17 books you have stacked in a corner. These books are all by different authors. The new book shelf is large enough to hold 10 of the books.
(a) How many ways can you select and arrange 10 of the 17 books on the shelf? Notice that here we will allow the books to end up in any order. Explain.
(b) How many ways can you arrange 10 of the 17 books on the shelf if you insist they must be arranged alphabetically by author? Explain.

Answers

Answer:

19448 ways

70572902400 ways

Step-by-step explanation:

(a)

To arrange 17 books on a shelf from a possible we use the combination formula :

nCr = n! ÷ (n-r)!r!

17C10 = 17! ÷ 7! 10!

17C10 = 19448 ways

To arrange the books in alphabetical order :

2)

In question, 2, the order of arrangement matters ; hence, we use permutation ;

nPr = n! ÷ (n-r)!

17P10 = 17! ÷ (17 - 10)! = 17! ÷ 7!

17P10 = 70572902400

Help. Urgent. Skenekeks

Answers

Answer:

D

Step-by-step explanation:

Plug in the numbers for the x-value and solve the equation.

| 3(80/3)/4 + 1 | = 16

| 3(-40/3)/4 + 1 | = 16

Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the image ABCD.
The slope of 'D'is
Reset
Next
Il rights reserved.
Properties of Dilati...
DELL

Answers

Answer:

(D) is equal to 8 so that means that u have to divide and multiply all in one

Answer:

Reflection

Step-by-step explanation:

Find two integers whose sum is -5 and product is -36

Answers

Answer:

-6 & 6

Step-by-step explanation:

-6 time 6 is -36

Answer:

-9+4= -5

Step-by-step explanation:

-9 times 4= -36

Negative Nine plus four equals negative five

negative Nine times four equals negative thirty six

Do you have any practice questions for grade 1 and 8 of math

Answers

Answer:

dear please focus on other subjects not only on math

Pa help po plssssss
Sana po meron Ang maka-sagot ☺️☺️​

Answers

Answer:

The answer is below

Step-by-step explanation:

a) the volume of the pit = length * width * depth = 9 dm * 6 dm * 7 dm = 378 dm³

Hence to fil the pit, 378 dm³ of sand is needed.

b) Volume of the room = length * width * height = 2.3 m * 0.59 m * 3.74 m = 5.08 m³

The cabinet would occupy 5.08 m³ of space.

c) volume = length * width * height

210 dm³ = 3.5 dm * 6 dm * width

width = 210 dm³ / (3.5 dm * 6 dm) = 10 dm

d) Volume of the room = length * width * height = 15 m * 15 m * 15 m = 3375 m³

The stockroom has a space of 3375 m³

e) volume = length * width * height = 5 dm * 5 dm * 5 dm = 125 dm³

The container has a space of 125 dm³

f) volume = length * width * height = 41 cm * 13 cm * 24 cm = 12792  cm³

The box has a space of 12792  cm³

g) volume of prism = length * width * height

72 m³ = 4 m * 3 m * length

length = 72 m³ / (4 m * 3 m) = 6 m

h) volume = length * width * height = 8 cm * 8 cm * 8 cm = 512 cm³

The figure has a volume of 512 cm³

i) volume = length * width * height = 5 ft * 2 ft * 3 ft = 30 ft³

The cabinet has a space of 30 ft³

The ratio of girls to boys in a particular classroom is 8: 7. How many boys are in the class if there are 45 students?

ONLY ANSWER IF YOU KNOW THE ANSWER

Answers

9514 1404 393

Answer:

  21

Step-by-step explanation:

Rearranging the given ratio, we can find the ratio of boys to the total.

  boys : (boys +girls) = 7 : (7+8) = 7 : 15

Then the number of boys is ...

  (7/15)(45) = 21

There are 21 boys in the classroom.

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The government had to ___ goods to ensure supplies for the armed forced what can a person do to reduce the risk of cancer A. Stretch after exercisingB. Avoid UV exposureC. Avoid sugary drinksD. wash his or her hands 5. Overall, how does the role of a speaker differ from the role of a writer of text? Bermuda Cruises issues only common stock and coupon bonds. The firm has a debtequity ratio of .73. The cost of equity is 11.5 percent and the pretax cost of debt is 6.6 percent. What is the capital structure weight of the firm's equity if the firm's tax rate is 39 percent? Each time one of you change the tires and 82 rows each row has an equal number of white and blue tile in town what is y ? I hate math, but math "love" me, keep on sticking to me. Black Diamond Company produces snow skis . Each ski requires 2 pounds of carbon fiber . The company's management predicts that 6,000 skis and 7,000 pounds of carbon fiber will be in inventory on June 30 of the current year and that 160.000 will be sold during the next ( third ) quarter . A set of two skis sells for $ 400 . Management wants to end the third quarter with 4,500 skis and 5,000 pounds of carbon fiber in inventory . Carbon fiber can be purchased for $ 25 per pound Each ski requires 0.5 hours of direct labor at $ 30 per hour . Variable overhead is applied at the rate of $ 18 per direct labor hour . The company budgets fixed overhead of $ 1,792,000 for the quarter . Required : 1. Prepare the third - quarter production budget for skis . The value of keq for the following reaction is 0.25SO2(g) + NO2(g) _ SO3(g) + NO(g)What is the value of at the same temperature if we multiply the reaction by 2 The geometric shape of the molecule H2,O. A. bent B. Trigonal planar C. linear D. t shape What is the approximate volume Suppose that each student at a university has one of 4 expected graduation years and one of 21 majors. How many students must be enrolled to guarantee 2 graduations in the same year and major? Why is stress not good for students If I am writing an expository essay, this is considered my:audiencethesistaskpurpose An airplane is traveling at 940 km/h. How long does it take to travel 2.00 km? Exhibit 11-10 n = 81 s2 = 625 H0: 2 = 500 Ha: 2 500 At 95% confidence, the null hypothesis _____. a. should not be rejected b. should be revised c. should be rejected d. None of these answers are correct Q. A board that measures feet long is cut into 6 equal pieces. What is the length of each piece?A. 1} inchesB. 3 inchesC. 3 inchesD. 9 inches Given that triangle GHJ = triangle XYZ What is m Perit Industries has $110,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternatives are: Project A Project B Cost of equipment required $110,000 $0 Working capital investment required $0 $110,000 Annual cash inflows $20,000 $68,000 Salvage value of equipment in six years $8,600 $0 Life of the project 6 years 6 years The working capital needed for project B will be released at the end of six years for investment elsewhere. Perit Industries discount rate is 16%. Required: 1. Compute the net present value of Project A. 2. Compute the net present value of Project B. 3. Which investment alternative (if either) would you recommend that the company accept? what is one reason soldiers were shunned when they returned from vietnam a.many americans did not support the war b.the soldiers carried contagious diseases back with them c.the soldiers were ordered to hospitals immediately d.many americans thought the war was not over 50 + x + 10 + 8x + 2x =650what is the value of x?