What is the equation for the graph shown?

What Is The Equation For The Graph Shown?

Answers

Answer 1

Answer:

[tex]y = \frac{2}{3}x + 4[/tex]

Step-by-step explanation:

The rule for graphs is:

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

Where [tex]m[/tex] is the gradient and [tex]c[/tex] is the y-intercept (where the line crosses the y-axis)

We can work out c by looking at our graph.

Our line crosses the y-axis at (0, 4). So... [tex]c=4[/tex]

To work out our gradient of a straight line (which is what we have)

We use the formula:

[tex]m = \frac{\triangle y}{\triangle x}[/tex]

The triangle [tex]\triangle[/tex] just means the "change in" the coordinates between any two points.

To calculate the change in y, we can pick any two points on our line!

Let's go for (0, 4) and (-6, 0)

To work out the gradient:

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

Using our formula

[tex]y = mx + c[/tex]
[tex]y = \frac{2}{3}x + 4[/tex]


Related Questions

A can is shaped like a cylinder 5.2 cm wide and 2.3 cm tall. find the volume of the nearest tenth. use 3.14 for pie.
Please help me!!
30 points for it!!!!!!!!!!

Answers

Answer: 48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Answer: the answer is 48.8

Please help me!
I’ll give 20 points

Answers

Answer:

Both answer is C

Step-by-step explanation:

30:20

3:2

Thus, (24/3)×2

=16 inch

Use the sam method by making ratio first, then compare to the second figures and substitute the value in first figure

Lacey worked 40 hr. at $18.75 per hour. Find her pay using P = RH.

Answers

Answer:

750

Step-by-step explanation:

I multiplied the hours she worked by the amount of payment per hour.

Answer:

$750

Step-by-step explanation:

Since Lacey worked 40 hours with the condition that each hours, Lacey will be paid for $18.75, because they worked 40 hours, therefore:

[tex]\displaystyle \large{P = 18.75+18.75+18.75+...+18.75}[/tex]

From above, you add from first hour pay to 40th hour pay. However, that’d take quite a long time to evaluate:

[tex]\displaystyle \large{\sum_{H=1}^{40} 18.75 = 18.75 \cdot 40}[/tex]

Then evaluate 18.75 * 40 and therefore the solution is $750

For usage of formula:

P = RH for P = pay, H = hour and R = rate (pay per hour)

So if you use the formula, you’d still end up with P = 18.75*40 which is $750

What type of association is shown by the scatterplot?

Answers

Answer:

Positive

Step-by-step explanation:

The graph goes up (puff puff positive)

Please help me solve these problems​

Answers

From the dots the parabola’s are the same size just transitioned to different locations.


blue = y = x^2 + 3

Green = y = (x-4)^2

Orange = y = x^2 - 3

Purple = y = (x+4)^2

This is a picture of a cube and the net for the cube.

What is the surface area of the cube?​

Answers

Answer:

I don’t get it

Step-by-step explanation:

I think it is 5

its 54 also for some reason my comment keeps getting deleted for saying 54??

30 divided by 14 written as a fraction

Answers

Answer:

I believe your answer is 15/7

Let's solve.

    [tex]\frac{30}{14} =\frac{15 * 2}{7*2} =\frac{15}{7}[/tex]

Hope that helps!

What is the BEST evidence that the author would make a good sportswriter?
A) the poem's admiring attitude toward athletes
B) the fact that she has failed at almost every sport
C) the poem itself, which is a funny description of sports
D) the fact that she has loved sports since she was very young

Answers

Answer:

C

Step-by-step explanation:

The poem itself, which is a funny description of sports.

Answer: C) the peom itself which is funny description of sports.

Step-by-step explanation: The reason this is the answer is because The poem they wrote towards the athletes and passion they have for sports.

An annual percentage rate (APR) includes:

A. both the interest and fees on a loan.

B. only the fees on a loan.

C. neither the interest nor the fees on a loan.

D. only the interest on a loan.

Answers

Answer:

A. both the interest and fees on a loan.

Step-by-step explanation:

An annual percentage rate (APR) includes both the interest and fees on a loan.

[tex]\purple{\boxed{\blue{\boxed{\green{\star{\orange{\ \: \: Sumin-!! \: \: \: {\green{\star}}}}}}}}}[/tex]

Help Me On This!!

I already know the answer but i need a short explanation.​

Answers

Answer:

option B

Explanation:

With every increase in side, there is an increase in dots

1 side = 1 dot2 side = 2 dot3 side = 3 dot4 side = 4 dot

=============

Option B has 4 sides and 4 dots.

How many positive integers are factors of 55^3 + 66^3?​

Answers

Answer:

10

Step-by-step explanation:

55³ + 66³ =

= (5 × 11)³ + (2 × 3 × 11)³

= 5³ × 11³ + 2³ × 3³ × 11³

= 11³(5³ + 2³ × 3³)

= 11³ × 341

= 11³ × 11 × 31

= 11^4 × 31

The factors are:

1, 11, 31, 11², 11³, 11^4, 11 × 31, 11² × 31, 11³ × 31, 11^4 × 31

The factors are:

1, 11, 31, 121, 341, 1331, 3751, 14641, 41261, 453871

Answer: 10

A student is evaluating the expression below for n = 3.7.
12.8 + 6(n - 0.5)
1. The student substitutes 3.7 for n. Write the new expression.
2. What step should he do next?

Answers

Use pemdas (parenthesis, exponents, multiplication/division, addition/subtraction)
12.8+(6*(3.7-.5))
12.8+(6*3.2)
12.8+(19.2)
=32

Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown. Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown.

Answers

The total dimension of the aquarium that will be cleaned by Steve will be 94 meters.

How to illustrate the dimensions?

Your information isn't given. Therefore, an overview will be given. In this case, let's assume that the aquarium is rectangular. Let's assume the dimensions are 20m by 27m.

In this case, since she needs to clean the four walls of the aquarium, the total distance that will be cleaned will be:

= 2(Length + Width)

= 2(27 + 20)

= 2 × 47

= 94m

In conclusion, 94m will be cleaned.

Learn more about dimensions on:

https://brainly.com/question/19819849

Please answer fast
Select the correct answer.
An animal reservation has four different regions for animals. The number of animals in each region is shown in the table.
B
C
Region
Number of Animals
A
42,500
D
49,200
60,800
57,300
35 mi
A
38 mi
51 mi
Sketch of Region
42 mi
A
50 mi
40 mi
49 mi
32 mi
Which re
region has a population density less than 60 animals per square mile?
ΟΑ. Α
OB. B
OC. c
ODD

Answers

Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:

C. c.

What is the area of a triangle?

The area of a triangle of base b and height h is given by:
A = 0.5bh.

Item a:

We have that b = 40, h = 35, hence the area in miles squared is given by:

A = 0.5 x 40 x 35 = 700.

The density is the number of animals divided by the area, hence:

D = 42500/700 = 60.7.

Item b:

We have that b = 38, h = 25, hence the area in miles squared is given by:

A = 0.5 x 38 x 50 = 950.

Then, the density is:

D = 60800/950 = 64.

Item c:

We have that b = 42, h = 49, hence the area in miles squared is given by:

A = 0.5 x 42 x 49 = 1029.

Then, the density is:

D = 57300/1029 = 55.7.

Hence option C is correct.

More can be learned about the area of a triangle at https://brainly.com/question/21735282

Answer:

C.C-57,300

Step-by-step explanation:

A spherical balloon has a 16-in diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the balloon remains a sphere.
a. Find the volume of the fully-inflated balloon.
b. Find the volume of the half-inflated balloon
c. What is the radius of the half-inflated balloon?

Answers

Answer:

a. 2144.66 cubic inches

b.1072.33  cubic inches.

c. 16  inches

Step-by-step explanation:

hello, to answer this question we have to calculate the volume of  sphere:

Volume of  sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

16 =2r

16/2=r

r= 8 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (8)³

V = 2144.66 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

2144.66/2 = 1072.33  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33

1072.33 = 4/3 π r³

Solving for r

1072.33 / (4/3 π)= r³

256= r³

16 = r

r = 16 inches

Arnold is about to go on a 500-mile car trip. His mechanic recommends that he buy
a special highway engine oil that will save him 50 cents in gas for every 25 miles of the
trip. This new oil, however, will cost $20. Is it worthwhile for Arnold to buy the oil if he
has a coupon for $4 dollars off the price?

Answers

500 miles/ 25 = 20 x 0.50 = $10

He will save a total of $10


20-4 = $16

it will cost him $16 for the oil which is more than what he saves in gas so buying the oil is not worth it.

I need help ASAP or im going to fail

Answers

45? Three non student tickets plus parking so 12*3 +9

Answer:

45

Step-by-step explanation:

Since it given that her parent and grandmother attend a soccer game. Thus, we can see that there is no students.

Also given that:

Student tickets: $6

Non-Student tickets : $12

Parking : $9

Thus,

Non- Student tickets:$ 12 (Parents and grandmother are not students)

Parking: $9 ( Since they attend a soccer game they need somewhere to park)

Parents = 2 person (Mom and Dad)

Grandmother = 1 person

1 + 2 = 3

Now,

Since Non-student tickets = $12

3 * 12 +9

36 + 9

45

Hence, the family spend $45 to attend the game.

~lenvy~

What is the value of the expression shown below?
−(−4)(-6) − (10 + 15)
-
1|3

Answers

Answer:

-27.3 is the ans without decimal its -27-1/3

Answer:

-49 and 1/3

Step-by-step explanation:

− (-4 x -6) − (10 + 15) − 1/3

− (24) − (25) − 1/3

− 24 − 25 − 1/3

−49 − 1/3

-49 and 1/3

BRAINLIEST please if this helped!

How many solutions are there to the equation below?
x2 = 16
O A. 2
B. 16
C. 1
O D.O
E. 4

Answers

Answer:

A.2

Step-by-step explanation:

x² = 16

take the square root of both sides

x = ±4

there are 2 solutions to the equations, those 2 solutions being 4 and -4

just to double check

4² = 4 × 4 = 16

-4² = -4 × -4 = 16

Which expression does this power represent?

10^8


10 × 8

10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8

8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8

Answers

Answer:

10^8 represents 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Because it is to the 8th power, this means it's multiplied by itself 8 times.

Answer: It represents b 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

MAX POINTS PLEASE HELP Will make Brainliest

What is the period and frequency of the function graphed and how would the equation be written as a function

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \rm \dashrightarrow \:y =a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \rm  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

can i get the answer with work?

Answers

Answer:

Step-by-step explanation:

D

Answer: 15

Based on this info they have a probability of 0.6 of winning a game.So for 15 games they should win 0.6*15  = 9 gamesSo prediction for whole season = 6+9 = 15 games.

Step-by-step explanation:

Solve the linear equations below by using:
2x + y = -3
3x - 2y = -8

a. Addition
b. Substitution
c. Graphing ​

Answers

a. Y= -7
X=2
4x+2y=-6
+(3x-2y=-8

The value of the expression in standard nation is ….. of( 0.00032)(5.2 times 10^6) divided by 6.4 times 10^5

Answers

Answer:

The answer is 0.0026

Step-by-step explanation:

0.00032 x 5200000 = 1664

1664 divided by 640000 is 0.0026

Solve for X
Pls give your working out as well x

Answers

[tex]3^{x-2} = \left(\dfrac 13 \right)^{\sqrt x}\\ \\\implies 3^{x -2} = \left(3^{-1} \right)^{\sqrt x} \\\\\implies 3^{x-2} = 3^{-\sqrt x}\\\\\implies x -2 = -\sqrt x\\\\\implies (x-2)^2 = \left(-\sqrt x \right)^2\\\\\implies x^2 -4x +4 = x\\\\\implies x^2 -5x +4 =0\\\\\implies x^2 -4x-x+4=0\\\\\implies x(x-4) -(x-4)=0\\\\\implies (x-1)(x-4)=0\\\\\implies x = 1~~~~~~;[x = 4 ~ \text{Does not satisfy the original equation}]\\\\\text{Hence, x =1 is the solution.}[/tex]

16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)

Answers

Answer:

yes

Step-by-step explanation:

A right triangle means that

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {6}^{2} + {8}^{2} = {10}^{2} [/tex]

, which means that it follows the rules of the formula, making it a right triangle.

If this answer helped you I would appreciate it if you gave me brainliest :D

You deposit $5000 in an account earning 2% interest compounded continuously. How much will you
have in the account in 10 years?
$

Answers

Step-by-step explanation:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

The line MN is shown on the grid.
Find the equation of the perpendicular bisector of line MN.

Answers

Find midpoint coordinates:

[tex]\rightarrow \sf (\dfrac{-1+3}{2} ), \ (\dfrac{7+(-1)}{2} )[/tex]

[tex]\hookrightarrow \sf (1, \ 3)[/tex]

Find the gradient of MN:

[tex]\dashrightarrow \sf \dfrac{-1-7}{3-(-1)}[/tex]

[tex]\dashrightarrow \sf -2[/tex]

slope of perpendicular bisector:

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

Equation:

[tex]\sf \rightarrow y = \dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Answer:

[tex]y=\dfrac12x+\dfrac52[/tex]

Step-by-step explanation:

M = (-1, 7)

N = (3, -1)

[tex]\sf slope\:of\:MN=\dfrac{y_n-y_m}{x_n-x_m}= \dfrac{-1-7}{3-(-1)}=-2[/tex]

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line perpendicular to MN is:

[tex]\sf \implies -2 \times m=-1[/tex]

[tex]\sf \implies m=\dfrac12[/tex]

If the line bisects the line MN, it will intersect it at the midpoint of MN:

[tex]\begin{aligned}\textsf{Midpoint of MN} & =\left(\dfrac{x_m+x_n}{2},\dfrac{y_m+y_n}{2}\right)\\ & =\left(\dfrac{-1+3}{2},\dfrac{7+(-1)}{2}\right)\\ & =(1,3)\end{aligned}[/tex]

Finally, use the point-slope form of the linear equation with the found slope and the midpoint of MN:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=\dfrac12(x-1)[/tex]

[tex]\implies y=\dfrac12x+\dfrac52[/tex]

help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8

Step-by-step explanation:

pls help. Consider the following expression 9u+7v+5+4v.
Select all of the true statements below.

Answers

Answer:

7v and 4v are like terms, 9u is a term, and 5 is a constant.

Step-by-step explanation:

Like terms are terms that can be added together, such as numbers being multiplied by the same variable. A term is a number, a variable, or a number and a variable combined. A constant is a number that is not being multiplied or divided by a variable, but just a number on its own.

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