Question 4(Multiple Choice Worth 4 points)
(04.01)

The graph represents function 1, and the equation represents function 2:

A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 3.

Function 2
y = 5x + 4

How much more is the rate of change of function 2 than the rate of change of function 1?

A 2
B 3
C 4
D 5

Answers

Answer 1

Answer:

[tex]D. 5[/tex]

Step-by-step explanation:

The graph of function 1 is not given. However, the question can still be solved using the available details

First, we need to determine the rate of change of function 2

[tex]y = 5x + 4[/tex]

The general form of an equation is:

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

Where

m = rate of change

So:

[tex]m_2 = 5[/tex]

Next, we need to determine the rate of change of function 1

From the question, we understand that a horizontal line passes through point 3 on the y axis.

Irrespective of where the horizontal line passes, the rate of change is 0

So:

[tex]m_1 = 0[/tex]

Lastly, we calculate the difference between both rates:

[tex]Difference = m_2- m_1[/tex]

[tex]Difference = 5 - 0[/tex]

[tex]Difference = 5[/tex]

Answer 2

Answer:

D

Step-by-step explanation:


Related Questions

The sum of three consecutive even integers is 36 . find the smallest of them​

Answers

Answer:

10

Step-by-step explanation:

You can get the three consecutive integers by using algebraic expressions.

Let's solve.

Let x be the smallest even integer.

Let x+2 be the second even integer.

Let x+4 be the largest even integer.

x+x+2+x+4 = 363x+6 = 363x = 36-63x = 30x = [tex]\frac{30}{3}[/tex]x = 10

Therefore, 10 is the smallest even integer.

x+2 = 10+2 = 12

The second even integer is 12.

x+4 = 10+4 = 14

The largest even integer is 14.

Let's check by adding the three even integers.

10+12+14 = 36

36 = 36

It's correct.

9 points
Miguel cashes his weekly paycheck ad Fees4Cash, a check-cashing
service. Fees4Cash charges Miguel $10.00 to cash his $200.00 paycheck.
Miguel is paid 4 times a month, how much does he pay Fees4Cash each
month to cash his paychecks?
$40-$50
$20-$25
$10-$15
$5-$10

Answers

the answer is $40-$50

Answer:

$40-$50

Step-by-step explanation:

Assuming Miguel makes $200 every paycheck and is charged $10 each time, then we just need to multiply $10 by the number of paychecks he cashes each month. He's charged $10 four times a month. 10x4=40. So Miguel is charged $40 a month to cash his paychecks.

factorise a b + BC.......​

Answers

Answer:

b(a+c)

Step-by-step explanation:

Due to ab and bc sharing b as a factor, we take that out and get b(a+c).

Hope this helped!

Determine whether (1,1) and (-1,4) are solutions to 2x+5y<7

Answers

Answer:

Step-by-step explanation:

1,1 is a solution

I need help please :)

Answers

Answer:

x is any integer except for -1

Step-by-step explanation:

If you substitute -1 for x, the denominator value would be 0, or undefined.

For this reason, x cannot be -1, which is mathematically known as an extraneous value.

Simplify 3[2^3 + (4-2)^3 - (6-2)^2]

Answers

Answer:

[tex]\boxed{0}[/tex]

.

Step-by-step explanation:

[tex]3(2^3 + (4 - 2)^3 - (6 - 2)^2)[/tex]

[tex]= 3(2^3 + 2^3 - 4^2)[/tex]

[tex]= 3(2.2^3 - (2^2)^2)[/tex]

[tex]= 3(2^4 - 2^4)[/tex]

[tex]= 3(0)[/tex]

[tex]= 0[/tex]

Question7 of 10
Which inequality is shown in the graph?
V
O A ys3
O B. y=-3
Oc. ys-3
OD. Y2-3

Answers

Answer is C. The graph is of y<=x^2-3, and testing y values below that in the shaded area (like -5) prove that the statement is true.

“What happens to our balloon when we subtract a positive number (puffs of air)?”

Answers

the height decreases

..

please help 20 points!

9 5/6 + 1 1/4+ what=14

what-20-3 1/4=14 5/8

17/3+what+5/2=10 4/5

23.1+1 7/10-what=66/10

Answers

Answer:

9 5/6 + 1 1/4 - 2 11/12 = 14

-37 7/8 - 20 -3 1/4 = 14 5/8

17/3 - 2 19/30 +5/2 = 10 4/5

23.1 + 1 7/10 - 18 1/5 = 66/10

Step-by-step explanation:

How many meters are in 3.6 kilometers?

Answers

The answer is 3,600 meters in 3.6 kilometers hope this helps.

volume of a cube is 216 cm 3 find the total surface area of the cube.​

Answers

Answer:

6 cm

Step-by-step explanation:

Answer: The answer is 6 cm

please HELP!! will mark brainliest

Answers

Answer: x = 29

Step-by-step explanation: take the total angle, which is 93, and subtract 35. that way, we have the total angle for the space that we're trying to work with. then, just divide that by 2. so, we can see that x = 29.

Help plz:))) I’ll mark you BRAINLIEST I am really struggling with this question plz help and will mark you BRAINLIEST

Answers

Answer:

Grace

Step-by-step explanation:

We have to look at the bottom 2 angles, the bigger the angle the wider it is. For Hector, his R angle is 50 degrees and it's 14 wide, but his R angle is 60 degrees, bigger than 50 degrees, and yet the it's only 12.5 wide which is smaller than 14. Grace got it right, 60 degrees is bigger than 50 so it's only natural for it to be wider too.

Levi buys a ticket for a raffle with several prizes. The probability that
he wins a prize is 50%. Which word or phrase describes the probability
that Levi will win a prize?
A.unlikely
B.likely
C.imposible
D.an equal chance or 50-50

Answers

Answer:

D.An equal chance or 50-50

Step-by-step explanation:

Also my name is Levi and my B-day is the 19th of Dec! (This is my mom's account)

MIDDLE SCHOOL

Which gives the percent of increase from 60 to 75?

A. 20%
B. 25%
C. 40%
D. 45%

Answers

Answer:

20% I'm pretty sure

Indicate whether the following congruence statement is true or false.
50 points

Answers

Step-by-step explanation:

The congruence statement is correct as KL = KR, LM = RQ and MK = QK. Also all the congruent angles correspond to the respective letters.

It is true I got it right on a test

Each month for several months, the average temperature in °C (x) and the number of pounds of steam (y) consumed by a certain chemical plant were measured. The least-squares line computed from the resulting data is y = 245.82 + 1.13x. Predict the number of pounds of steam consumed in a month where the average temperature is 65°C.
If two months differ in their average temperatures by 5°C, by how much do you predict the number of pounds of steam consumed to differ?

Answers

Answer:

See step by step solution below

Step-by-step explanation:

Given that; y = 245.82 + 1.13x

If x = 65°C

y= 245.82 + 1.13(65)

y= 319 pounds of steam

Given that for the first month;

y1= 245.82 + 1.13x

For the second month

y2 = 245.82 + 1.13(x - 5)

y1 - y2 = ∆y

∆y = 245.82 + 1.13x - [245.82 + 1.13(x - 5)]

∆y = 5.65

David bought 11 gifts. He spent $5 on each gift. For each
gift he packed as many candy coins as he could fit into a small sack. The
candy coins were 3 for $1. How many candy coins did David purchase?

Answers

Answer:

11 x 5 = 55 so $55 on gifts

but how much money did he have?

Step-by-step explanation:

A rectangular room is three times as long as it is wide, and its perimeter is 72
meters. Find the length of the room.

Answers

Answer:

L=3w

P=2L+2w

P=6w+2w

P=8w

72=8w

x=9

L=27

Answer:

[tex]27[/tex] meters

Step-by-step explanation:

Let [tex]x[/tex] = the width of the rectangular room.

From the information "is three times as long as it is wide", we can set the length of the room as [tex]3x[/tex].

Perimeter of rectangle = [tex]2l + 2w[/tex] (formula for perimeter of rectangle)

[tex]72=2(3x)+2(x)[/tex]

[tex]72=6x+2x[/tex]

[tex]8x=72[/tex] (combine like terms)

[tex]x=9[/tex] meters

∴ The width of the room is 9 meters.

To find the length of the room, we can use substitution:

Length = [tex]3x[/tex]

[tex]=3(9)[/tex]

[tex]=27[/tex] meters

∴ The length of the rectangular room is 27 meters.

Hope this helps :)

anyone know this i need help this is for a final

Answers

for every week that goes on, the tiger’s weight increases by 4 lbs.

(1+4=5, 5+4=9, 9+4=13, 13+4=17)

hopefully this helps, good luck on your final! <3

Will Give Brainliest!!!
Patrick graphed (shown below) the high temperatures ((left parenthesisin ^{\circ}\text{C}) ∘ C)degrees, start text, C, end text, right parenthesis that he experienced on each day of his trip to Homer, Alaska. What is the meaning of point AAA? Choose 1 answer: Choose 1 answer: (Choice A) A The high temperature on the 4^\text{th}4 th 4, start superscript, start text, t, h, end text, end superscript day was 7^{\circ}\text{C}7 ∘ C7, degrees, start text, C, end text below zero. (Choice B) B The high temperature on the 4^\text{th}4 th 4, start superscript, start text, t, h, end text, end superscript day was 7^{\circ}\text{C}7 ∘ C7, degrees, start text, C, end text above zero. (Choice C) C The high temperature on the 7^\text{th}7 th 7, start superscript, start text, t, h, end text, end superscript day was 4^{\circ}\text{C}4 ∘ C4, degrees, start text, C, end text below zero. (Choice D) D The high temperature on the 7^\text{th}7 th 7, start superscript, start text, t, h, end text, end superscript day was 4^{\circ}\text{C}4 ∘ C4, degrees, start text, C, end text above zero.

Answers

Answer: B. The high temperature on the 4th day was 7 degrees above zero

Step-by-step explanation:

Point A is located at (4,7), where the x-value represents the day and the y-value represents the temperature in degrees Celsius. Since the day is 4 and the temperature is 7 degrees above zero, the answer would be B.

Answer:

The other person is right :)

Step-by-step explanation:

Taylor. Bought a dozen eggs at the grocery store for 2.40$ what is the cost per egg

Answers

Answer:

0.20 cents per egg.

Step-by-step explanation:

You divide 2.40 by 12 and that is your final answer.

Jamie has two cylindrical travel mugs with the dimensions shown below. how much more can the taller travel mug hold compared to the shorter mug?

Answers

Answer:

B. 39.27 in.³.

Step-by-step explanation:

✔️Volume of the taller cylindrical mug = πr²h

Where,

r = ½(5) = 2.5 in.

h = 6 in.

Volume = π × 2.5² × 6

Volume of taller mug = 117.81 in.³

✔️Volume of the shorter cylindrical mug = πr²h

Where,

r = ½(5) = 2.5 in.

h = 4 in.

Volume = π × 2.5² × 4

Volume of taller mug = 78.54 in.³

✔️Thus:

117.81 in.³ - 78.54 in.³ = 39.27 in.³.

Therefore, the taller mug is 39.27 in.³ volume more than the shorter mug.

What is the range of the function shown on the graph above?

Answers

Answer:

23

Step-by-step explanation:

FREE BRAINLIEST!!!

Correct answer gets Brainliest!
Click on the graph below to create a pentagon with vertices at the following points.(5, 5), (-3, 4), (-4.5, -4), (1, -5), (9, 0)

Answers

All of the above, please give brainliest :)

What is the slope of y = x + 5?​

Answers

Answer: 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Slope in this form is denoted as m.

The formula is y = mx + b, and when you substitute the given values, you can tell that the m value is 1.

What is the value of 14:45?

Answers

Answer:

31.111111111111%

Step-by-step explanation:

How much is 14 out of 45 written as a percent value? Convert fraction (ratio) 14 / 45 Answer: 31.111111111111%

Use the following image to answer the questions.

(a) How are the triangles similar? Justify your answer with a theorem or postulate.

(b) What is the value of x? Show your work

please help, due today, thank you!

Answers

(a) The triangles are similar because they have two congruent angles; AA similarity theorem.
(b) 24 3x + 6
—- = ———-
32 28
Cross multiply.
672 = 32 (3x + 6)
Divide both sides by 32.
21 = 3x + 6
15 = 3x
x = 5

1
Question: Two customers went to an office supply store to purchase small
envelopes and memo pads. Each small envelope costs the same amount,
and each memo pad costs the same amount. *
The first customer paid $17 for 7 small envelopes
and 3 memo pads.
The second customer paid $28.75 for 12 small
envelopes and 5 memo pads.
What was the cost in dollars of each memo pad?

Answers

Given:

The first customer paid $17 for 7 small envelopes  and 3 memo pads.

The second customer paid $28.75 for 12 small  envelopes and 5 memo pads.

To find:

The cost in dollars of each memo pad.

Solution:

Let x be the cost of each small envelop and y be the cost of each memo pad.

The first customer paid $17 for 7 small envelopes  and 3 memo pads.

[tex]7x+3y=17[/tex]         ...(i)

The second customer paid $28.75 for 12 small  envelopes and 5 memo pads.

[tex]12x+5y=28.75[/tex]    ...(ii)

Multiply equation (i) by 12 and equation (ii) be 7 to get same coefficient of x.

[tex]84x+36y=204[/tex]         ...(iii)

[tex]84x+35y=201.25[/tex]    ...(iv)

Subtracting (iv) from (iii), we get

[tex]84x+36y-84x-35y=204-201.25[/tex]

[tex]y=2.75[/tex]

Therefore, the cost of each memo pad is $2.75.

Simplify: (3d^2 - 3d/ 3d -6) - (6/3d - 6)

Answers

Answer:

the answer would be 2d/\2 - 2d

Step-by-step explanation:

I took the test and got it right

Answer:

                     

Step-by-step explanation:

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