(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
х f(x)
-1 -5
0 -1
1 3
g(x)
g(x) = 2x - 7

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)
(10 points)

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Finding the slope of f(x)

Given the table of the function f(x)

x        f(x)

-1        -5

0        -1

1          3

Finding the slope using the formula

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

[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]

[tex]m=4[/tex]

Thus, the slope of the function f(x) = 4

Finding the slope of g(x)

We know the slope-intercept form of a linear function is

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

where m is the slope and b is the y-intercept

Given the function

[tex]g(x) = 2x-7[/tex]

comparing with the slope-intercept form

y = mx+b

The slope of the function g(x) = 2

Thus, we conclude that:

The slope of the function f(x) = 4The slope of the function g(x) = 2

Hence, the slope of f(x) is greater.

Part b)

Finding the y-intercept form of f(x)

We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.

From the table,

It is clear at x = 0, y = -1

Hence, the y-intercept of the function f(x) = -1

Finding the y-intercept form of g(x)

Given the function

[tex]g(x) = 2x - 7[/tex]

comparing with the slope-intercept form (y = mx+b)

[tex]y = mx+b[/tex]    

where b is the y-intercept

Hence, the y-intercept of g(x) = b = -7

Thus, we conclude that:

The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7

Hence, the y-intercept of f(x) is greater.


Related Questions

For the function y =[tex]3x^{2}[/tex]– 2x + 5, what is the output if the input is 4?

A) 9

B) 21

C) 45

C) 51

ill give brainly to first correct answer

Answers

Answer:

C

Step-by-step explanation:

The input is the value of x. Substitute x = 4 into y for output

y = 3(4)² - 2(4) + 5 = 3(16) - 8 + 5 = 48 - 8 + 5 = 45

Thus the output is 45 → C

(8,0) (10,14) (14,30)

Answers

Answer:

What is the answer u want dude

Step-by-step explanation:

Answer:

whats the answer

Step-by-step explanation:

Part A: Enter values for the ratio of
y
for the equation y = 2x.
2
х
Y
y
Value of
C
__1
-2
1
2
2
4
Y
Part B: Enter values for the ratio of for the equation y= 2x + 2.

Answers

rawr rawr rawr rawr rawr rawr rawr
Huh better explain please

What equal to 3(x+y)

Answers

Answer:

Step-by-step explanation:

3(x+y)= 3x+3y,

you have to multiply the number with each term that is in parenthesis

Answer:

3x+3y

Step-by-step explanation:

3x+3y is pretty much the simplified version.

consider the inequality shown.

4x+ax-14>-24

What is the highest integer value of when x=-2

Answers

Answer:22

Step-by-step explanation:

A System of Linear Equations consist of.....
O three or more lines.
O at least one line.
O at least two lines.
O more than two lines.

Answers

Answer:

B. At least one line

Step-by-step explanation:

Two lines can overlap on the coordinate plane, so it appears to be one line.

What is the slope of this line? please explain because it is confusing if I only got the number of the slope:)

Answers

Answer:

8/3

Step-by-step explanation:

Use rise over run. Find two points that are at perfect points. For example (3,2). Don't use something like (2.45, 7.34), That will make it difficult. I used (0, 4) and (-3, 4). To get from (-3,4) to (0,4), you have to go up 8 and to the right 3. Always count up or down first and then side to side.  

Will give crown help

Answers

Answer:

[tex]m=\frac{5}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

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

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-5, -2)

Point (-1, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{3+2}{-1+5}[/tex]Add:                                     [tex]m=\frac{5}{4}[/tex]

Answer:

5/4

Step-by-step explanation:

you can also use rise/run

you go up 5 and over 4

can someone help me !

Answers

Answer:

its b

Step-by-step explanation:

hope this helps

It’s alternate extior angles the answer is b.. hope this is helpful!

Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8

Answers

Answer:

-8

Step-by-step explanation:

3/4x=-18+12

x=-6×4/3

x=-8

Answer:

x = -8

Step-by-step explanation:

[tex] \frac{3}{4} x - 12 = - 18[/tex]

i) multiply both sides of equation with 4

[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]

[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]

[tex]3x - 48 = - 72[/tex]

ii) move -48 to the right-hand side and change its sign

[tex]3x = - 72 + 48[/tex]

iii) calculate the sum

[tex]3x = - 24[/tex]

iv) divide both sides of equation with 3

[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]

[tex]x = - 8[/tex]

help me please I suck at math its my weakness

Answers

Answer:

b

Step-by-step explanation:

Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110% more time doing homework this week. Is he correct? Show your work to justify your decision.

Answers

Answer:

Yes he is correct, If it was 100% then it would stay the same 10 hours. But since it's 110%, it is in fact 11.

Step-by-step explanation:

PLease help I promise this is easy

Answers

Answer:

use

y2-y1

____

x2-x1.

unfortunately I forgot how to solve it but pick 2 coordinates

A chef uses 1/2 cup of cheese for a small pizza. There are 6 grams of fat in 1/4 cup of cheese.
Drag one expression next to each question. The correct expression for each row is a way to answer that question.
Drag one expression next to each question. The correct expression for each row is a way to answer that question. PLZZ help!!

Answers

Answer:

The correct options are;

1) How many grams of fat are in 1/2 cup of cheese = [tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]

2) How many cups of cheese will the chef need to make 13 small pizzas = [tex]\dfrac{1}{2} \cdot 13[/tex]

3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;

[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]

Step-by-step explanation:

1) How many grams of fat are in 1/2 cup of cheese

The number of grams of fat per 1/4 cup of cheese = 6 grams

Therefore;

The number of grams of fat per kilogram of cheese = 6/(1/4)

The number of grams of fat per 1/2 kilogram of cheese = 6/(1/4) × 1/2, which can be written as follows;

[tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]

2) How many cups of cheese will the chef need to make 13 small pizzas

The number of cups of cheese per small pizza = 1/2 cup of cheese

Therefore, the number of cups of cheese in 1 small pizza = 1/2 × 13, which can be written as follows;

[tex]\dfrac{1}{2} \cdot 13[/tex]

3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;

Given that 1/2 cup of cheese can make one small pizza

(1/2)/(1/2) = 1 cup of cheese can make 1/(1/2) small pizza

3/4 cup of cheese can make 3/4 × 1/(1/2)  = (3/4)/(1/2) small pizza, which can be written as follows;

[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]

Graph the line that passes through the points (3,-4) and (3,-1) and determine
the equation of the line.

Answers

Answer:

The equation of a line:

x = 3

The graph of the line is attached below.

Step-by-step explanation:

Given the points

(3, -4)(3, -1)

Finding the slope between (3,-4) and (3,-1)

(x₁, y₁) = (3,-4)

(x₂, y₂) = (3, -1)

Using the slope formula

m = y₂-y₁ / x₂-x₁

    = -1-(-4)) / 3 - 3

    = -1 + 4 / 0

m  = ∞

The slope of the line is undefined, then, by definition, the line would be a vertical line.

As the line that passes through the points (3,-4) and (3,-1)

For a vertical line, the value of x  is the same for each and every value of  y.

Thus, the equation of a line:

x = 3

The graph of the line is attached below.

What is the equation of a line that is perpendicular to -x + 2y =4 and passes through the point (-2, 1)

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

-solve for y: y = 1/2x + 2

-perpendicular equals opposite slope: -2

-plug in the point: (1) = -2(-2) + b

                               1 = 4 + b

                                b = -3

put it all together: y = -2x - 3

Identify the graph of f(x) = -3 |x+2|.

Answers

Answer:

the first one

Have a safe and happy new years

The function f(x) = -3 |x+2| represent the graph A. The correct option is A.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The function f(x) = -3 |x+2| is an absolute function. On plotting the graph of the function we will get the graph at (-2,0) coordinate and cut the y axis at ( 0,-6 ) coordinate. The graph is attached with the answer below.

Therefore, the function f(x) = -3 |x+2| represent the graph A. The correct option is A.

To know more about functions follow

https://brainly.com/question/25971887

#SPJ2

Helpp I have 50 sec leftttn asappp

Answers

Answer:

The answer would be B) 17 1/3

To rewrite the expression ab+a+b+1, Jozelle first writes (ab+a) + (b+1). What property justifies this?

Answers

Answer:

I believe it is associative property of addition or commutative

Step-by-step explanation:

Use the GCF and the distributive property to find the expression that is
equivalent to 32 + 56.
A. 4(8 + 14)
B. 8(4+8)
C. 8(4 + 7)
D. 2(16 + 28)

Answers

Answer: a

Step-by-step explanation:

When you multiply 4 and 8 together you get 32. When you multiply 4 and 14 ypu get 56

Solve diiis!
2-(y+2)=3y
PPLLSS AANNDD TTHHXX!!

Answers

The answer is : y = 0

How to solve your question

Solve for y:

-y = 3 y

Subtract 3 y from both sides:

-y - 3 y = 3 y - 3 y

-y - 3 y = -4 y:

-4 y = 3 y - 3 y

3 y - 3 y = 0:

-4 y = 0

Divide both sides of -4 y = 0 by -4:

(-4 y)/(-4) = 0/(-4)

(-4)/(-4) = 1:

y = 0/(-4)

0/(-4) = 0:

Answer: | y = 0

please help which one of these answers is it?

Answers

Answer:

[tex] m\angle ABC = 35\degree [/tex]

Step-by-step explanation:

(3x - 70)° = x° (corresponding angles)

3x - 70 = x

3x - x = 70

2x = 70

x = 70/2

x = 35

[tex]

m\angle ABC = (3x - 70)\degree \\\\

m\angle ABC = (3\times 35- 70)\degree \\\\

m\angle ABC = (105- 70)\degree \\\\

\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]

Which table shows a proportional relationship?


b 2 3 8 9 14
c 4 6 16 18 28

x 1 2 3 4 5
y 4 5 6 7 8

r 2 3 4 5 6
s 3 5 6 8 9

p 1 3 5 7 9
q 3 7 11 15 19

Answers

it is b 2 3 8 9 14

c 4 6 16 18 28

i took the test


1. For the function f(x) = 3x + 1, find f(-2). (substitute -2 in for x)


Answers

Answer:

f(-2) = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 1

f(-2) is x = -2

Step 2: Evaluate

Substitute in x:                    f(-2) = 3(-2) + 1Multiply:                               f(-2) = -6 + 1Add:                                     f(-2) = -5

3. Solve (5x – 4)(x – 6). (2 points) O x = 4, x = 6 X = -4, X = -6 X = 1.25, x = 6 0 x = 0.8, x = 6​

Answers

Answer:

x=0.8

x=6

Step-by-step explanation:

(5x-4)(x-6)=0

1)5x-4=0

2)x-6=0

1)5x=4

x=4/5 or 0.8

2)x=6

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

A(-6, 9), B(2, 1); Ratio 5 to 3

Answers

Answer:

The coordinates are (-1,4)

Step-by-step explanation:

To get the coordinates, we use the internal division formula

Mathematically, that will be;

(nx1 + mx2)/(m+n) , (ny1 + my2)/(m + n)

In this case;

m = 5

n = 3

(x1,y1) = (-6,9)

(x2,y2) = (2,1)

Substituting these values, we have that;

(3(-6) + 5(2)/(5+3) , (3)(9) + 5(1))/(5 + 3)

= (-18 + 10)/8 , (27+5)/8

= -8/8,32/8

= (-1,4)

is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?

Answers

Answer:

true

Step-by-step explanation:

HELP ME PLEASE I WILL GIVE BRAINLIEST PLEASE PLEASE
Sandra wants to have her new technology up and running as soon as possible. She is looking for a tool that she can download and use right away. She is evaluating _____.




features


operating expenses


templates


availability

Answers

Answer:

i beleive it answer is b.) operating expenses

Step-by-step explanation:

i say that because she is looking for a quick way to operate the computer without any expense.

If correct plz mark brainly :)

Answer:

availability

5h(-m+f)= 6

SOLVE FOR F!

Answers

6/5h+m

Just divide by 5h and then add m

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]5h(-m+f)=6\\\\-m+f=\frac{6}{5h}\\\\f=\frac{6}{5h}+m[/tex]

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ2

Helppppppppppppppppppppppppppppppppppppppp Pleaseeeeeeeeeeeeeeeee

Answers

Answer:

2. -1/3x > 12

3. 5+x > 7

4.10-x < 30

5. 2+5x ≤ 3

6.6-2x ≥ 17

8.$400+$49g=$750

at most the enthusiast can buy 7 games along with the player

Step-by-step explanation:

Other Questions
What kind of electricity does turning wheel generates? Please help! For what reasons did the US have interest in building a canal in South America? the main events in a story - includesthe exposition, climax, resolution,etc. Need help asap not really good with these types of questions The electron dot diagram for an atom of carbon has how many pair(s) of electrons and how many unpaired electrons PLEASE LOOK AT PICTURE! WHOEVER HAD CORRECT ANWSER I WILL MARK BRAINIEST!!! A university has 55% student girls and 45% boys. A student is chosen at random to take a test. The test for boys has 25 questions and the one for girls has 30 questions. Let X be the random variable, which represents the number of questions to which the selected student answered correctly. Describe the distribution table for X, and calculate the mean and dispersion. help meeee fbdgnxfgdrgfsjrtsjg they needed extra characters Three samples were taken and were put in three test tubes each named as A,B and C. In A, milk was added, B had meat pieces and C had crushed potatoes in it. Observe the names of tests written above each test tube and write (for all test tubes) Material Required The Procedure Expected End Results Conclusions Safety Measures (if any) If you find any negative result. Explain why it is so? The height to the top of a flagpole is 18 feet. The flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet. How tall is the tree? the city of Picayune has set aside $900,000 to build a new water tower in the shape of a cylinder. If the price per cubic foot is $10.50, what is the largest measure for the radius and height of the cylinder in order to not exceed the budget? Why did John Calvin write the Institutes of the Christian Religion? A. to refute the teachings of Martin Luther B. to defend a kings right to an annulment C. to support the practices of the Catholic Church D. to explain the Reformation and Protestant beliefs(The answer is either C or D I'm not sure) 14.)A baseball team play 34 games in their season. If they won 55% of thegames they played how many did they win answer both and i will give you branliest A drawer contains 12 identical white socks, 18 identical black socksand 14 identical brown socks. What is the least number of socks youmust choose, without looking, to be certain that you have chosen two socks of the same colour? Question: Given P(X) = 0.5, P(Y) = 0.4, and P(Y|X) = 0.3, what are P(X and Y) and P(X or Y)? (3 points)A. P(X and Y) = 0.9, P(X or Y) = 0.75B. P(X and Y) = 0.9, P(X or Y) = 0.1C. P(X and Y) = 0.75, P(X or Y) = 0.15D. P(X and Y) = 0.15, P(X or Y) = 0.1E. P(X and Y) = 0.15, P(X or Y) = 0.75 Can someone please help me with this picture. I WILL MARK BRAINLIEST Rohit is writing an informative essay on the tree-farming industry. Which is the best research question for him to ask?A)How does the tree-farming industry benefit the United States?B)Which tree variety is most popular on tree farms in the United States?C)What is an interesting fact about tree farms in the United States?D)Do people know much about the tree-farming industry in the United States? 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6 5s2 4d8 What element is represented by the ground state electron configuration shown above? Pam is pregnant, and her baby already has all the genetic information needed to determine its sex, hair and eye color, skin color, and even some personality traits. What stage of development has her baby achieved?blastocystzygoteembryofetus