The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −9
0 −1
1 7
g(x)

g(x) = 3x − 2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
HELP ME PLSSSSS I WILL GIVE YOU 100 POINTS!!!!!!!

Answers

Answer 1

Step-by-step explanation:

First we find the slope of f(x):

When x increases by 1, f(x) increases by 8. Slope of f(x) = 8/1 = 8.

Slope of g(x) = Coefficient of x = 3.

Therefore the slope of f(x) is greater than the slope of g(x).

When x = 0, f(x) = -1 (given ii the table) Therefore the y-intercept of f(x) is -1.

Y-intercept of g(x) = Constant term = -2.

Since -1 > -2, f(x) have a greater y-intercept.


Related Questions

HELP ME WITH MATH HOMEWORK please 11points㋛㋛

Answers

Answer:

7. Option B:40 is the correct answer.

8. Option D: y = 40x+75 is the correct answer.

Step-by-step explanation:

Given that:

Charges per hour = $40

Fee charged by repairman = $75

x = number of hours

y = total fee

According to given statement;

y = 40x+75

The standard equation is

y = mx + b

On comparing;

Slope of the line is given by m, therefore

Slope = m = 40

Hence,

7. Option B:40 is the correct answer.

8. Option D: y = 40x+75 is the correct answer.

help please !! thank you so much

Answers

Answer:

Yes it is a proportional relationship

Step-by-step explanation:

That is because 20 and 10 are your original and 40 and 20 and 60 and 30 match with it.

I need help on this question and I don't really know where to start can somebody help me? ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

1:4, meaning 1/4 section is grey. 100/4 is 25.

H is correct

Step-by-step explanation:


PLEASE HELP ILL GIVE 17 POINTS AND BRAINLIEST
The angle of elevation from a point on level ground to the top of a 50-ft tree is 25". How much closer to the tree does a point on the ground need to be for the measure of the angle of elevation to be twice the measure of the original angle? Round to the nearest tenth
A. 653
B. 778
C. 416
D. 1072

Answers

The answer is A

In this problem, we're dealing with tan since we're working with the opposite and adjacent sides.

Remember SOH CAH TOA which means

Sin: Opposite over Hypotenuse,

Cos: Adjacent over Hypotenuse,

and Tan: Opposite over Adjacent

to remember what sin cos and tan means

So to set up a tan equation we have to do

tan(angle) = opposite side length/adjacent side length

The first equation is tan(25) = 50/x

because we have to find the length of the adjacent side so we can find how far away the tree is.

which is about 107.2 ft

The second equation is tan(50) = 50/x

because now we have to find how far away the tree is once the angle of elevation is twice the measure of the original angle (which is 50)

which is about 41.9 ft

After we subtract the two values, you get 65.3 so the answer is A.

I hope this helps!

Two make the angle from the top of the tree to the ground distance should be 41.95 ft.

What is the right-angle triangle?

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, The angle of elevation from a point on level ground to the top of a 50-ft tree is 25".

Since it makes a right-angle triangle with the tree that has a height of 50

Also given, At another angle from the ground that is twice the previous angle calculate the base.

Thus, the new angle will be 50°

thus, the base of the triangle:

Since. tan α = height/ base

in our case, α is 50°

height = 50 ft

tan α = 50 / base

base = 50/tan 50°

Base = 41.95 ft

therefore, Two make the angle from the top of the tree to the ground distance should be 41.95 ft.

Learn more about right-angle triangles here:

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Yesterday, the temperature at noon was 22.5 degrees. By midnight, the temperature had decreased by 27.7 degrees. What was the temperature at midnight?

Answers

Answer:

54.23

Step-by-step explanation:

If that not a choice simpfly

can someone help me my brain hurts​

Answers

Answer:

The correct answer is: Option 2

[tex]y+1 = \frac{8}{9}(x+4)[/tex]

Step-by-step explanation:

Point-slope form of an equation is given by:

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

Here m is the slope of the line and (x1,y1) is the point from which the line passes

Given points are:

(-4,-1) and( 5,7)

Slope is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m=\frac{7-(-1)}{5-(-4)}\\m = \frac{7+1}{5+4}\\m = \frac{8}{9}[/tex]

Now we will put the first point and slope in general form of equation of line

[tex]y-(-1) = \frac{8}{9}(x-(-4))\\y+1 = \frac{8}{9}(x+4)[/tex]

Hence,

The correct answer is: Option 2

[tex]y+1 = \frac{8}{9}(x+4)[/tex]

It cost Kaylee $7.26 to send 66 text messages. How much does each text cost to send?

Answers

Answer:

0.11

Step-by-step explanation:

7.26 / 66 = 0.11

hope this helps <3

0.11 is the answer to your question

Which statement does NOT correctly describe the order of operations (PEMDAS)?

A.Multiplication always comes before addition.
B.Multiplication is always before division.
C.Solve exponents after parenthesis.
DSolve subtraction after addition unless subtraction is on the left side of addition.

(Help meh A.P.S)

Answers

Answer:

I think it’s D

Step-by-step explanation:

Jeffery and carrie deposit 800.00 into an savings account which earns 4%interest compounded quarterly they want to use the money in the account to go on a trip in 2 years how much will they be able to spend ​

Answers

Answer:

866.29

Step-by-step explanation:

Deposit = 800Interest rate = 4% compounded quarterlyTime = 2 years

Number of compounds:

2 / 1/4 = 8

Saving amount at the end of 2 years:

800*(1 + 0.04/4)^8 = 866.29

The table shows the derivation of tan(2x). Select the correct reason for each step.
Reason 1 is:
Reason 2 is:
Reason 3 is:

Answers

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify  

Step-by-step explanation:

I just did it on edge 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify  

Step-by-step explanation:

Please help really fast!!!

Answers

the answer for this question is 65

Answer:

The answer is

[tex] \sqrt{65} [/tex]

Step-by-step explanation:

We need to find the distance as instructed.

Its formula is:

[tex]d = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1)^{2} } [/tex]

Let's plug in according to the formula and solve.

[tex]d = \sqrt{(x_2 - x_1) ^{2} + (y_2 - y_1)^{2} } \\ d = \sqrt{( - 7 - 1) ^{2} + (2 - 3)^{2} } \\ d = \sqrt{64 + 1} \\ d = \sqrt{65} [/tex]

Answer the following algebraic equation:

3x-5+9(72/8)+4=2(4x-6)

Point Value- 20 points

Answers

Answer:

X=18.4

Step-by-step explanation:

3x-5+9(72/8)+4=2(4x-6)

3x-5+9(9)+4=2(4x-6)

3x-5+81+4=8x-12

3x-5+85=8x-12

3x+80=8x-12

3x-8x=-12-80

-5x=-92

x=-92/-5

x=18.4

Checking our work:

3(18.4)-5+9(72/8)+4=2(4(18.4)-6)

55.2-5+9(9)+4=2(73.6-6)

55.2-5+81+4=2(67.6)

50.2+85=135.2

135.2=135.2

Given g(x)=2x+3, solve for x when g(x)=3

Answers

Answer:

-3/2

Step-by-step explanation:

The coastline of the Atlantic Coast is 2,069 miles
long. Approximately 10% of the coastline lies in New Hampshire. About
how many miles of the coastline lie in New Hampshire? Explain how you
estimated
with workkk

Answers

Answer:

23 miles

with workkk

Step-by-step explanation:

2,069-------90% (0,9)

x ------------- 10% (0,1)

x= 2.069x0,1 : 0.9= approximately 23 miles

What is 10% of 60? Explain how you calculated your answer

Answers

Answer:

6

Step-by-step explanation:

10 percent decimal form = 0.10

60 * 0.10 = 6

HELP ME PLEASE (WILL GIVE BRAIN)... "What is the equivalent of 13π/6 in degrees?

Answers

390 degrees is ur answer btw ;))

(-7,-1) (-1,-7) (3,-11) (7,-15) What is the range of the set of ordered pairs above?

Answers

Answer:

The range of the set of ordered pairs are [tex]Y =\{-1,-7,-11,-15\}[/tex].

Step-by-step explanation:

Let [tex](x,y)[/tex] be an ordered pair, where [tex]x[/tex] corresponds to an element of the domain and [tex]y[/tex], an element of the range. Hence, the range of the set of ordered pair are:

[tex]Y =\{-1,-7,-11,-15\}[/tex]

The range of the set of ordered pairs are [tex]Y =\{-1,-7,-11,-15\}[/tex].

solve for X . Please help !! :)

Answers

Answer:

10

Step-by-step explanation:

thats the answer

x=5

2x=10

x√3=√170

HELP ASAP PLS!!!

p(x)=x^3 : m(x)= 4p(x-3)-5
Describe the transformation(s) performed on p(x) that produced m(x).
Then, write a specific equation for m(x).

Answers

4p(x-4)-5
That is my answer I hope I’m right have a merry Christmas

6. Henry examined the table that represents values satisfying the function shown
below.
fax)
0 -18
1
2
4.
3
4.
-6
5 -8
6 0
7 24
8 70
Ollo
Based on the information in the table, select all the key features that are correct.
The y-intercept of the graph of the function is at (0, -18)
The maximum value of the function is 4.
A local minimum is located within the interval 3 sxs6
A local maximum is located within the interval 1 The function is increasing within the interval 6 sxs8
n

Answers

Answer:

The maximum value of the function is 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Pls help me ASAP I DONT know what to put. I only have 6 minutes to answer pls help

Answers

Answer:

YOU CHEAT ON QUIZ

Step-by-step explanation:

WHY YOU CHEAT BAD



Evaluate
f(x) = 3x + 10 over the domain {0, 6, 12, 24}.What is the range of f(x)?

Answers

Answer:

10, 28, 46, 82

Step-by-step explanation:

this could be wrong im  not very good with domain and range

19. Which graph best represents the solution set of -4x s 6y - 54?​

Answers

Answer:

I believe the answer is A and I'm sorry if I'm wrong

graph best represents the solution set of -4x <- 6y - 54 graph C. Option C is the correct option.

graph best represents the solution set of -4x < -6y - 54.

What is inequality?

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.



Since the Question seems to be incomplete, The Correct inequality in the question could be  -4x < -6y - 54.
Here, graph C represents the inequality. Because y-intercept is y = -9
and the x-intercept for the inequality is x = 13.5. And it's below shaded and no boundary element can be included because of < sign.


Thus, the graph best represents the solution set of -4x < -6y - 54 graph C. Option C is the correct option.

Learn more about inequality here:

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The question given is incomplete, Answer is correct for the solution is based on the assumed data mentioned in the question.

What is the slope of the line?​

Answers

Answer:

Slope = 3/4

Step-by-step explanation:

sorry it’s late. Pls give brainliest.

HELP 55 POINTS!

Determine if each set of ordered pairs represents a function.
(2, 3). (6,-5), (-1,3)
(1, 9), (-3, -2) (1, -4)
(7,4). (0, 9), (2, -2)
(0, 3). (0, 7), (4, 0)
(-6, 5), (-5,6), (8, 2)
Function
Not a Function

Answers

Answer:

(2,3) function

(1,9) not

(7, 4) function

(0,3) not

(-6,5) function

In 1992, Jason bought a gallon of gas for $1.17. Yesterday, he bought a gallon of gas for $2.21. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.

Answers

The percentage increase is 78.68% for your correct answer

Please help! the photo is below

Answers

I believe it is 8.......

Answer:

8 Green beads

Step-by-step explanation:

12 divided by 3 = 4

4 times 2 = 8

I think the answer is between 1 and 2

Answers

Answer:

1111111111111111111111111

I think it’s 1 but I’m not sure

4 The function c(t) = 1.5t + 15 models the cost of a medium pizza, in dollars), based on the number of toppings, (t). Which of the following statements are true based on the function? Select all that apply. ​

Answers

Answer:

gay

Step-by-step explanation:

A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financial aid can be determined by the function f(x)=15000+3000x, where x is the number of siblings (including half siblings and step siblings) that the applicant has living in their household. Find and interpret the given function values and determine an appropriate domain for the function.

PLZ HELP!

Answers

Answer:

This equation shows you how financial aid increases $3000 for every additional sibling, starting at $15,000.

Step-by-step explanation:

This equation means that for every sibling there is an additional $3000 in financial aid. When there are no siblings there is an automatic $15000 in financial aid.

Since you can't have "negative number" of siblings, the domain must begin with 0. You can have a lot of siblings, so let's put the end of domain as infinity.

Domain = [0, ∞)

If you substitute in this domain into the equation, the range will be the output. The least will be $15,000 and the most will be infinity as well.

Range = [15000, ∞)

please give thanks and click heart button :)

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