which equation represents the function?​

Which Equation Represents The Function?

Answers

Answer 1

Answer:

[tex]y = \frac{5}{3}x +9[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the equation

First: We calculate the slope (m)

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

Where:

[tex](x_1,y_1) = (-6,-1)[/tex]

[tex](x_2,y_2) = (0,9)[/tex]

The slope becomes:

[tex]m = \frac{9-(-1)}{0 - (-6)}[/tex]

[tex]m = \frac{9+1}{0+6}[/tex]

[tex]m = \frac{10}{6}[/tex]

[tex]m = \frac{5}{3}[/tex]

The equation is then calculated as:

[tex]y - y_2 = m(x-x_2)[/tex]

So, we have:

[tex]y - 9 = \frac{5}{3}(x - 0)[/tex]

[tex]y - 9 = \frac{5}{3}x[/tex]

Make y the subject

[tex]y = \frac{5}{3}x +9[/tex]


Related Questions

How do the graphs of the functions differ from the graph of f(x)=3.5x^3?
For each function, select Steeper, Less steep, or Reflected over the x-axis to describe the differences between the graph of the function and the graph of f(x).
Select all answers that are correct.

Answers

Answer:

First, let's do some general definitions:

We start with:

f(x) = 3.5*x^3

A general equation of this form is:

g(x) = a*x^3

if:

IaI > 3.5 the function will be steeper.

IaI < 3.5 the function will be less steep.

a < 0, means that we have a reflection over the x-axis.

Then:

p(x) = 4.5*x^3

bassed on what we wrote above, this function is steeper than f(x)

q(x) = -x^3

This is less steep ( a = -1 in this case) and we also have a reflection over the x-axis.

r(x) = 3*x^3

In this case 3 < 3.5, this means that this will be lees steep than f(x)

Which fraction is equivalent to the decimal 0.68 with the line on top?HELP FAST

A. 31/45
B. 682/999
C. 62/99
D. 2/3

Answers

Answer:

A 31/45

Step-by-step explanation:

A 31/45=0.6888 (this is the awnser as the line on top means repeating)

B 682/999=0.682 (0.68 rounded)

C 62/99=0.62626 (repeating)

D 2/3=0.66666 (Or 0.67 rounded)

Pls pls help it is due todayyy:)))

Answers

Answer:

a dilation is different from a translation because it enlarges an image or shrink them instead of moving them. it's also different from rotation since it doesn't rotate but enlarge or shrink. it's way far from reflection because it enlarges or shrinks.

Answer: A diliation is a non rigid transformation, whereas reflections, transitions and rotations are rigid transformations. This means that dilations do not preserve the size of the shape.

please answer the question below

Answers

Answer: 220

Step-by-step explanation:

Will already has 148 he bought 8 packages that contains 9 in each so 8 x 9 = 72 then add 148 to 72 and you will have your total which is 220.

1 3/8 minus 1/2 thanks

Answers

Answer:

0.833

Step-by-step explanation:

which is the correct answer?

(Note): (If you give a silly or absurd answer I will report you)​

Answers

Answer:

lolooollollolololo-

jk

The answer is

J) 334.06

Step-by-step explanation:

We know the rate is 1.5 inch an hour

So 1.5*2.54 is 3.81

Now 3.81 cm every hour

24 hours a day

3.81*24=91.44

Now 91.44 cm A day

1 Year or 365 days

91.44*365= 33375.6cm a year

now we also need to add the extra 12 inches in the beginning

12*2.54=30.48cm

Now add those 2

33375.6+30.48= 33406.08

now the answer asked for meters so we divide 33406.09/100

you’ll get 334.06 or J

J) 334.06

This is your answer

any help
please
thanks

Answers

Answer:

n=54

Step-by-step explanation:

Since this is a proportion problem, you have cross mulitply.

7n=9x42

7n=378

n=54

Answer:

cross multiply

9×42=378

7×n=7n

n=378/7

n=54

Ricki took a survey in the fifth grade and found that 2/3 of the students ride the bus to school, and 1/4 of the students walk. What fraction of the fifth-grade students either ride the bus or walk to school?

Answers

Answer:

11/12 of the 5th grade ride the bus or walk to school.

Step-by-step explanation:

First you have to find a LCD (least common denominator) for both fractions which is 12.

Second you have to multiply the numerator by whatever you multiplied the denominator by for both fractions

Finally you add both fractions together and you get 11/12

Pls help with math ASAP pls

Answers

B: it stabilizes the distance between them

i do not think the order matters, so the answer should be the first two.

Find the percent change from the first value to the second. 32; 56

Answers

Answer:

75%

Step-by-step explanation:

Percentage change = (change) ÷ (first value) × 100

Change = second value - first value = 56 - 32 = 24

∴ Percentage change = [tex]\frac{24}{32} * 100 =[/tex] 75%

Given the function y=2x and the domain (-1, 0, 1, 2), the corresponding range is (-2,
0.2, 6).
True
False

Answers

the answer is False.

2x2≠6

How can you tell if an ordered pair is a solution of a system of linear equations by examining the graphs of the equations?
Both lines pass through the point represented by the ordered pair.
You cannot tell whether an ordered pair is a solution of a system of linear equations by examining the graphs of the equations.
Just one of the lines passes through the point represented by the ordered pair.
Neither line passes through the point represented by the ordered pair.

Answers

Answer:

A.) Both lines pass through the point represented by the ordered pair

Step-by-step explanation:

Both lines pass through the point represented by the ordered pair.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

An ordered pair is a solution of a system of linear equations by examining the graphs of the equations.

We know that;

An ordered pair is a solution of a system of linear equations when both the lines are passing through the same ordered pair.

Hence, We get the correct sentence is,

''Both lines pass through the point represented by the ordered pair.''

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ6

How do you solve 20-10/5+2•2

Answers

Answer: 22

Step-by-step explanation:

20 - 10/2 + 2 . 2

10/5 = 2

20 - 2 + 2 . 2

= 20 - 2 + 4  = 22

 

hope this helps

If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (fºg)(10)?

Answers

Answer:

2x - 3..... 2*10 - 3 = 17

Step-by-step explanation:

Fog) = g(fx)) = f(x) - 4 => 2x - 3

Answer:

37

Step-by-step explanation:

Substitute x = 10 into g(x), then substitute the result into f(x)

g(10) = 10 - 4 = 6 then

f(6) = 6^2 + 1 = 36 + 1 = 37

Answer:????? Math (O-O)

Answers

Answer: the first one is 30. The second is .294. The third is 2/3.

Step-by-step explanation:

Write the ratio of 3/5 miles to 1/2 miles as a fraction in simplest form

Answers

Answer:

Three over Ten

Complete each congruence statement by naming the corresponding angle or side (odd questions only)

Answers

Answer:

Step-by-step explanation:

Corresponding parts of the congruent triangles are congruent [CPCTC]

By using this property of congruent triangles,

15). ΔABC ≅ ΔABR

     BC ≅ BR [By CPCTC]

16). ΔJIH ≅ ΔJIW

     ∠HJI ≅ ∠WJI [By CPCTC]

17). ΔBDC ≅ ΔBDJ

     ∠CBD ≅ ∠JBD [By CPCTC]

an one hour mathematcis class ks divided up into the schedule shown jn the table below how many mintyee of class are allowed for independent pratice?

Answers

Answer:

i got 15

Step-by-step explanation:

7 1/2 / (4 1/2 - 5 1/8) =

Answers

Answer:

-4 11/16

Step-by-step explanation:

write a story to represent the equation 1/2÷3 solve the equation and complete the story​

Answers

Answer: ↓↓

Step-by-step explanation:

Fred, Ben, and George bought a pizza. George's sister and her friends ate some of the pizza, they left 1/2 of the whole pizza. Fred decided that they should share the remaining pizza equally. How much of the pizza will they each get?

1/2 ÷ 3 = 1/6

The three boys will each get 1/6 of the pizza.

Hope this is good! :3

On what interval(s) of x does f have positive concavity?


On what interval(s) of x does f have negative concavity?

Answers

Answer:

Step-by-step explanation:

Concavity of a quadratic function is determined the leading coefficient.

If the leading coefficient is positive, graph will entirely concave upwards.

If the leading coefficient is negative, graph will concave downwards entirely.

So in the interval (-∞, ∞) function has the positive concavity.

There is no interval in which the given function has the negative concavity.

6 is _______________ % of 30. fill in the blank

Answers

Answer:

6 is 20% of 30

Step-by-step explanation:

6 × 5 = 30

take one of the five parts and you get 20% of the full product

Find the missing side lengths. WILL GIVE BRAINLIEST

Answers

The missing side length is pigment because it is Pepe popo


Find the length of side x in simplest radical form with a rational denominator

Answers

Answer:

rggsktvvg gggggggggggg yyyhhhhg

What type of number is -296.2i

Answers

it is a negetive integer

HOPE THIS HELPS

PLEASE MARK ME AS BRAINLIEST.

HELLO! Negative integer

उपलब्धियों

Below is a scale drawing of a deck for a house What are the length and width, in yards, of the deck represented by the scale drawing?
What is the area, in square yards, of the deck represented by the scale drawing?
Please help me hurry

Answers

I’m looking for the same answer

Answer:

The length of the house is 32 yards and the width is 16 yards and the area of the deck is 512 yards. I got my answer by multiplying the length and the width to get an answer of 512.

Step-by-step explanation:

You have to multiply 16 centimeters by 2 and multiply 8*2. Which is 32 and 16 and after you do that you multiply them 32*16=512

The kittens, Annie and Josie, are pushing a ball, Annie with a force magnitude of 80 N in a direction of 133 degrees, and Josie with a magnitude of 95 N in a direction of 290 degrees. If a third cat wants to prevent the ball from moving, with what magnitude and direction of force must she push?

Answers

Answer: Then the magnitude of the force is 37.86N, and the direction is 54.35°

Step-by-step explanation:

We can write the forces as vectors.

We know that Annie pushes with a magnitude of 80N in a direction of 133° (Remember that the angles are always measured from the x-axis)

The components of this force, (Ax, Ay), are then:

Ax = 80N*cos(133°)

Ay = 80N*sin(133°)

And we know that Josie pushes with a magnitude of 95N in direction of 290°

The components of this force, (Jx, Jy), are:

Jx = 95N*cos(290°)

Jy = 95N*sin(290°)

When we add these forces, the total force acting on the ball is:

F = (80N*cos(133°) ,  80N*sin(133°)) + (95N*cos(290°), 95N*sin(290°))

F = (80N*cos(133°) + 95N*cos(290°), 80N*sin(133°) + 95N*sin(290°))

Now, the third kitten wants to do a force K, in a direction θ, such that the net force acting on the ball is zero.

Then we must have that, each component of the force of the third cat (K*cos(θ)  on the x-axis and k*sin(θ) on the y-axis), is such that:

K*cos(θ) + 80N*cos(133°) + 95N*cos(290°) = 0

k*sin(θ)  + 80N*sin(133°) + 95N*sin(290°) = 0

Now we need to solve that system for k and θ

if we simplify the equations we get:

k*cos(θ) - 22.07N = 0

k*sin(θ)  -30.76N  = 0

Now we can rewrite them as:

k*cos(θ) = 22.07N

k*sin(θ)   = 30.76N  

Now we can take the quotiet between both equations to get:

(k*sin(θ))/(k*cos(θ)) = 30.76N/22.07N

Tan(θ) = 1.394

θ = Atan(1.394) = 54.35°

Now that we know the angle, we can find the value of the magnitude k, by using one of the two equations of the system:

k*cos(54.35°) = 22.07N

k = 22.07N/cos(54.35°) = 37.86N

Then the magnitude of this force is 37.86N, and the direction is 54.35°

How do percents show the relationship between quantities?

Answers

9514 1404 393

Explanation:

A percentage is a representation of a fraction. Just as any fraction relates a quantity to a whole, so does a percentage.

Example:

  3/5 represents 3 parts out of 5.

Its equivalent as a percentage is ...

  3/5 · 100% = 60%

which also represents 3 parts out of 5, or 6 parts out of 10, or 60 parts out of 100.

__

Note that the percent symbol (%) can be considered to be a shorthand way to write /100. Similarly, the "mils" symbol (‰) can be considered a shorthand way to write /1000. That is, 60% is fully equivalent to 60/100, and vice versa.

Engineers are playing a new bridge to cross a small river. Surveyors created the diagram to show where the bridge across the river.

What is the distance across the river where the new bridge will be built?

A. 36 feet
B. 56.25 feet
C. 100 feet
D. 101.25 feet

Answers

A. You need to show the diagram.

Answer:

I believe it was B.

Step-by-step explanation:

I'm having trouble with this, Unfortunately my teacher has a tight schedule tomorrow so I can't ask her, so I decided to come here, can someone clear it up. I'm not looking for the answer just help on it.

Use the function f(x) to answer the questions:

f(x) = 2x2 − 5x + 3

Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answers

Answer:

Step-by-step explanation:

Part A)

For equation f(x) = 2x² - 5x + 3, to find x intercepts let y=0 then solve x,

2x² - 5x + 3 = 0 -> (2x + 1)(x -3) = 0 , can find x - intercepts from here

x = ____ and ____

Part B)

To find if vertex is a max or min, compare to equation y = ax² + bx +c

if a > 0 then parabola opens up and vertex is a minimum.

if a < 0 then parabola opens down and vertex is a maximum,

thus vertex is a minimum in this problem

to solve vertex set x = -b / 2a = 5 / 2(2) = 5/4

solve for y value

.... vertex is then at point ( 5/4 , y value found)

Part C)

Can plot the intercepts and vertex points

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