The graph displays a linear function.

The Graph Displays A Linear Function.

Answers

Answer 1

Answer:

[tex]y = -\frac{2}{3}x +0[/tex]  OR [tex]y = -\frac{2}{3}x[/tex]

Step-by-step explanation:

First, find the slope (m) using two points (0,0) and (-6, 4)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-0}{-6-0} \\\\m=\frac{4}{-6}\\\\m=\frac{2}{-3}\\\\m=-\frac{2}{3}[/tex]

[tex]y=mx+b[/tex]

[tex]y = -\frac{2}{3}x +b[/tex]

Now, we find b using (-6, 4)

[tex]y = -\frac{2}{3}x +b[/tex]

[tex]4 = -\frac{2}{3}(-6) +b\\\\4 = \frac{12}{3} +b\\\\4 = 4 +b\\\\-4 -4\\\\0=b[/tex]

[tex]y = -\frac{2}{3}x +0[/tex]  OR [tex]y = -\frac{2}{3}x[/tex]

Hope this helps!

The Graph Displays A Linear Function.

Related Questions

Solve -5(3n + 4) = 40.

Answers

N=-4
Distribute the -5
-15n-20=40
-15n=60
n=-4

2. On the first day of a month, Leann's savings account had $176. During the
month, Leann deposited $198 and spent $160 of her money. What was
Leann's account balance at the end of the month?
⚫️-138 dollars
⚫️534 dollars
⚫️214 dollars
⚫️-182 dollars

Answers

C or 214 dollars. You would add 198 to the 176 already in the account and then subtract the 160 spent.
Or
176+198-160

The figure is made up of a cylinder and a half sphere. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.


A cylinder and half sphere. Both have a radius of 4 millimeters. The cylinder has a height of 7 millimeters.

Recall the formulas V = B h and V = four-thirds pi r cubed

Answers

Answer:

351.68 millimeters for the cylinder and 8 23/75 millimeters for the half circle.

Step-by-step explanation:

Volume Cylinder = 3.14(16)(7) = 351.68

Volume Half sphere = 2/3(3.14)(4) = 8 23/75

If you want both of them together just add up the two numbers.

Answer:

351.68 millimeters cylinder

8 23/75 millimeters half circle

Step-by-step explanation:

Find P (Freshman(Girl) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman 4 4 8
Sophomore 5 7 12
Junior 2 3 5
Senior 1
4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.

Answers

Answer:

[tex]\sf \dfrac29[/tex]

Step-by-step explanation:

From the table:

Total number of Girls = 18Total number of students = 30Total number of Girls who are Freshman = 4

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Girl)=\dfrac{18}{30}[/tex]

[tex]\sf \implies P(Freshman \cap Girl)=\dfrac{4}{30}[/tex]

[tex]\begin{aligned}\sf P(Freshman|Girl)& = \sf\dfrac{P(Freshman \cap Girl)}{P(Girl)}\\\\ & = \sf \dfrac{4}{30} \div \dfrac{18}{30}\\\\ & \sf=\dfrac{4}{30} \times \dfrac{30}{18}\\\\ & = \sf \dfrac29\end{aligned}[/tex]

What are levels of mathematical acquisition in pre-junior

Answers

Answer: Number Sense – Understanding Quantity.

Representation – Using Symbols and Words to Represent Numbers.

Shapes and Spatial Relationships (Geometry)

Measurement – Comparing and Communicating about size.

Patterns – Recognizing and Making Patterns.

Problem Solving.

Step-by-step explanation: boom!

The mean of 5 different numbers is 6 and the mean of 4 different
numbers is 15. Find the mean of 9 numbers.​ Please answer fast as possible.​

Answers

Total number of the first five numbers=5*6=30
Total number of the second four numbers=4*15=60
The total number of the 9 numbers=30+60=90
Mean of the 9 numbers=90/9=10

What are the x-intercepts of this conic section?



no x-intercepts

(0, −3) and (0, 3)

(−5, 0) and (5, 0)

(−3, 0) and (3, 0)

Answers

Answer:

D. (-3, 0) (3, 0)

Step-by-step explanation:

An x-intercept is means when the line/shape crosses the x axis, or when y=0

So in this case, we can see that the shape crosses the x axis when

x = -3 and 3

So to put it in coordinate form (x, y)

It is: (-3, 0) and (3, 0)

(Whenever it crosses the x-axis, the y coordinate will always be 0)

Which of the following is the solution to the equation 4 over 5 times n = 20
N = 4
N= 12
N = 16
N = 25

Answers

Answer:

  (d)  N = 25

Step-by-step explanation:

The solution to a one-step linear equation can be found by performing the inverse of the operation that is performed on the variable.

  (4/5)N = 20

  (5/4)(4/5)N = (5/4)(20) . . . . . multiply by the inverse of the coefficient

  N = 25 . . . . . simplify

Brand X rice sells for $70 per kg. Brand Y rice sells for $20 per 400 g. Both brands have similar qualities 8 . Which brand is the better buy? Why do you think so?​

Answers

Answer:

Brand Y would have a better deal.

Step-by-step explanation:

Step 1. There are 1,000 grams in 1 kilogram. Knowing this, you can see that it would be $70 for 1,000 grams of rice and $20 for 400 grams of rice.
Step 2. You would have to do 70 divided by 1000 (0.07) and 20 divided by 400 (0.05) to see which has the better deal.
Step 3. Brand X is 7 cents per grain and Brand Y is 5 cents per grain, making Brand Y the better deal. I hope that this helps! :)

Which of the following is true for the function y = log3(x)?
It is the inverse of the function y = x3.
It is the inverse of the function y = 3x.
It is the reciprocal of the function y = x3.
It is the reciprocal of the function y = 3x.

Answers

Answer:

B

Step-by-step explanation:

ED

Beth Hazelton purchased a compact vehicle with an $18,240.00. MSRP including the delivery and title fee. She selected a leather interior which costs 5 times the upgraded stereo system. If the total cost of the vehicle, including a 7% sales tax, was $21,365.20 find the cost of the (a) stereo system and (b) leather interior. Use the example in the book to help you with solving this problem.

Answers

Answer:

price of leather thingy= $2906.62
price of stereo system = $581.33

Step-by-step explanation:

final cost minus cost of total before adding the leather.
  21,365.20
- 18,240.00
= $3125.2

to find the exact price of the leather since the 7% tax was included in the price we mulitply by .93
3125.2 x .93 = 2906.62
we know the stereo is 1/5 of the price of the leather so we divide by 5 2906.63 ÷ 5 = 581.33

there u go! pls give brainliest :D

what is the intial value of the function f(x)=3{5/4}^x

Answers

Answer:

  3

Step-by-step explanation:

The "initial value" of a function is the value when the independent variable is zero.

  f(0) = 3(5/4)^0 = 3×1 = 3

The initial value of the function is 3.

As a cold front passed, the temperature dropped steadily
2 degrees each hour. It dropped a total of 10 degrees. How
many hours did it take for the temperature to drop this far?

Answers

Answer:

5

Step-by-step explanation:

because 10 divided by 2 is 5

Given the equation of a circle, x^2 + y^2 - 6x + 2y + 1 = 0, find the coordinates of the center and the length of the radius

Answers

Answer:

Center: (3,-1)

Radius: 3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{x^2+y^2-6x+2y+1=0}[/tex]

First, we have to convert the following standard circle equation to this:

[tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex]

where h is horizontal shift, k is vertical shift and r is radius.

That means we have to complete the square for both x-term and y-term.

Rearrange the equation:

[tex]\displaystyle \large{x^2-6x+y^2+2y+1=0}\\\displaystyle \large{(x^2-6x)+(y^2+2y+1)=0}[/tex]

For [tex]\displaystyle \large{y^2+2y+1}[/tex], can be converted to perfect square as [tex]\displaystyle \large{(y+1)^2}[/tex]. Hence:

[tex]\displaystyle \large{(x^2-6x)+(y+1)^2=0}[/tex]

For the x-terms, we have to find another value that can complete the square. We know that [tex]\displaystyle \large{(a\pm b)^2 = a^2 \pm 2ab + b^2}[/tex].

For [tex]\displaystyle \large{x^2-6x}[/tex] can be [tex]\displaystyle \large{x^2-2(x)(3)+3^2 \to x^2-6x+9}[/tex]. So our another value is 9.

[tex]\displaystyle \large{(x^2-6x+9-9)+(y+1)^2=0}[/tex]

From above, we add -9 because the original expression isn’t actual perfect square.

Separate -9 out of [tex]\displaystyle \large{x^2-6x+9}[/tex]:

[tex]\displaystyle \large{(x^2-6x+9)-9+(y+1)^2=0}[/tex]

Transport -9 to add another side:

[tex]\displaystyle \large{(x^2-6x+9)+(y+1)^2=9}[/tex]

Complete the square:

[tex]\displaystyle \large{(x-3)^2+(y+1)^2=9}[/tex]

Finally, we have our needed equation to find radius and center. The coordinate of center is defined as the point (h,k) from [tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex] and the radius is defined as r.

Hence, from the equation:

The coordinate of center is (3,-1) with radius equal to 3.

Need help with this geometric question ASAP, Thank you

Answers

Answer: 15

Step-by-step explanation:

Find the value of the expression 1/2x + 3 if x = 12

Answers

1/2(12) + 3 = 9

Change 1/2 into a decimal, multiply by 12, and then add 3

Step-by-step explanation:

please mark me as brainlest

what is the derivative and the slop of the tangent line of f(x)=3x+5 at (1,8)

Answers

Step-by-step explanation:

To find the derivative of

3x+5, apply sum rule

[tex] \frac{d}{dx}(3x + 5) = \frac{d}{dx} 3x + \frac{d}{dx} 5[/tex]

The derivative of

[tex] \frac{d}{dx} kx = k[/tex]

And

[tex] \frac{d}{dx} c = 0[/tex]

So we have

[tex] \frac{d}{dx} 3x + 5 = 3[/tex]

So the derivative of the function is 3,

Since linear equations have a constant slope, the slope at any point will be 3.

So the slope of the tangent line is 3.

Evaluate the limit

[tex]\lim \limits_{x\to 0} \dfrac{\ln \left(1-\dfrac x4 \right) - (1-x)^{\tfrac 14} +1}{x^2}[/tex]

Answers

Answer:

1/16

Step-by-step explanation:

Place x=0 and you can see [tex]\frac{0}{0}[/tex] indefinitness. So you can apply the l'hosptial rule. Its basic you should

[tex]\lim_{x \to \ 0} \frac{g(x)}{f(x)} = \\[/tex]  [tex]lim_{x \to \ 0} \frac{g'(x)}{f'(x)}[/tex] so apply the derivative

[tex]\frac{\frac{1}{x-4} +\frac{1}{\sqrt[4]{(1-x})^3 } }{2x}[/tex] and replace the x=0 and you'll see same answer [tex]\frac{0}{0}[/tex] re-apply the l'hospital rule and answer

[tex]\frac{\frac{-1}{(x-4)^2} + \frac{3}{16\sqrt[4]{(1-x)^7} } }{2}[/tex] and replace the 0 you can see the answer [tex]\frac{1}{16}[/tex]

evaluate the expression 4 3x when x is 2

Answers

4 times 3(2) = 24
24 would be the answer

44. What three-dimensional figure can be made by folding the net?
ASSESSMENT 1
A rectangular pyramid
B. triangular pyramid
C. triangular prism
D. square pyramid

Answers

You forgot to add a picture of the net!

Answer:

Its B square pyramid

Step-by-step explanation:

Because

the table of value shows a linear relationship

Answers

Answer:

I believe your answer is A

Step-by-step explanation:

Rise is over run, the run (x) is increasing by five but, the rise (y) is decreasing by 8 so the answer would be -8/5

Hope this helps! :)

Help me please with math for points​

Answers

Answer:

The answer is 72

Step-by-step explanation:

because you take the 8 times it by the 9

9×8=72 square³

Answer for brainliest
25 X 1 =

;)

Answers

The answer is 25. :))))

The answer is 25

25x1 is 25

anything multiplied by 1 Is itself

Aidan earned a total of $117 in one week. His babysitting job pays him $15 per hour. His after-school job at a barber shop pays him $9 per hour. He worked a total of 9 hours that week. The system of linear equations represents this situation, where x represents the number of hours Aidan spent babysitting and y represents the number hours he worked at the barber shop.

x + y = 9

15x + 9y = 117

How many hours did Aidan work at each job?

Answers

The hours worked at the babysitting job is 6 hours.

The hours worked at the barber shop is 3 hours.

What are the hours worked at the babysitting job?

Given the two linear equations:

x + y = 9 equation 1

15x + 9y = 117 equation 2

Multiply equation 1 by 9

9x + 9y = 81 equation 3

Subtract equation 3 from 1

36 = 6x

x = 6

What are the hours worked at the barber shop?

Substitute for x in equation 1

6 + y = 9

y = 9 - 6

y = 3 hours

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

What is the area of a pillow that is 12 1/2 inches long and 15 1/2 inches wide?

Answers

Answer:

193.75in or 193 3/4 in.

Step-by-step explanation:

To find the area, multiply the length x width.

12.5 x 15.5 = 193.75in

:)

Answer:

193.75 inch

Step-by-step explanation:

Area= Length ×Width

12.5*15.5

The ratio of blue jays to Robin's was 6 to 7. If there were 84 Robins, how many blue jays were there?​

Answers

Answer:

72

Step-by-step explanation:

Since the ratio of blue jays to robin's was 6 to 7 then if there were 84 robins how many blue jays were there.

6 to 7 can also be express as 6/7

Thus, we can set up a proportion

6/7 = x/84

Now, we have to solve for x

x = 72

Hence, if there were 84 robin there would be 72 blue jays.

~lenvy~

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

46 + 72 + (2x + 20) = 180
2x = 180 - 138
2x = 42
x = 21

Step-by-step explanation:

by using formula a+b+c=180

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

65 degrees

Step-by-step explanation:

The angles will sum up to 360, just do 360 - all known angles

360 - 90 - 128 - 77 = 65

Answer:

Step-by-step explanation:

Sum of all angles is 360 degrees

Let the measure of angle M equal x.

x+90+77+128=360

x=65

Measure of angle M is 65 degrees

Let f(x)=3/4x2-1 The function g(x) is a vertical stretch of f(x) by a factor of 8.What is the equation of g(x)?

Answers

Answer:

g(x) = 6x^2-1

Step-by-step explanation:

f(x)=3/4x^2 −1.

A vertical stretch by a factor of 8 you multiply the number with x by the factor:

3/4 x 8 = 6

g(x) = 6x^2-1

Solve for b. -36 + 2.5 = 4

Answers

Answer:

False

Step-by-step explanation:

The sides are not equal

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