The graph represents function 1, and the equation represents function 2:
6
3
2
1
0
0 1
2
3
4
5 6 7 8 9
Function 2
y = 8x + 12
How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)
O 3
O4
O 5

The Graph Represents Function 1, And The Equation Represents Function 2:632100 12345 6 7 8 9Function

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope or rate of change of the function can be:

positivenegativezero, orundefined

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is

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

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

[tex]y = 8x+12[/tex]

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.


Related Questions

A university organization shows that 108 of the university's 253 assistant professors were women, along with 97 of the 301 associate professors and 78 of the 350 full professors. (a) What is the probability that a randomly chosen university professor (of any rank) is a woman

Answers

Answer:

[tex]Probability = 0.3131[/tex]

Step-by-step explanation:

Required

Determine the probability of selecting a woman

The given data can be represented to show women distribution as:

-------------------------------------- Women ------------------- Total

Assistant Professors ----------- 108 ----------------------253

Associate Professors ---------97 -------------------------301

Full Professors -----------------78---------------------------350

First, we calculate the number of women

[tex]Women = 108 + 97 + 78[/tex]

[tex]Women = 283[/tex]

Next, we calculate the total number of professors

[tex]Professors = 253 + 301 + 350[/tex]

[tex]Professors = 904[/tex]

Probability of selecting women is then calculated as:

[tex]Probability = \frac{Women}{Professors}[/tex]

[tex]Probability = \frac{283}{904}[/tex]

[tex]Probability = 0.31305309734[/tex]

[tex]Probability = 0.3131[/tex] -- (approximated)

find the length of segment cd, given ab is congruent to cd

Answers

X = 3 so 22 needstobe20characterslong

What is the least common multiple of the two denominators 6/8, 4/32

Answers

Answer:

32

Step-by-step explanation:

Find the reference angle for a rotation of 220°.

Answers

Answer:

ans is 40 degree

i hope this is correct

I think it’s 140. 360-220=140

WILL GIVE POINTS!! Must answer!

What is the range in interval notation?

Answers

Answer:I think it’s option 2, light blue

Step-by-step explanation:

Find the x and y intercepts of the following equation. 3x - 8y = 24

Answers

y=-3
x=8

This is because you equal the opposite to 0 then solve.

what is the value of x in the eqation 5[x-6] = 2 [x+3]

Answers

Answer:

x = 12

Step-by-step explanation:

5x - 30 = 2x + 6

3x = 36

x = 12

Answer:

x=12

Step-by-step explanation:

1) distribute values:

5x-30=2x+6

2) add 30 to both sides

5x=2x+36

3) subtract 2x from both sides

3x=36

4) divide by 3

x=12

Please, I give 20 score. Find the volume

Answers

Answer:

2388.16 in³

Step-by-step explanation:

1) find volume of cylinder

formula: πr²h

given:

π = 3.14

r = 8/2 = 4 in

h = 9 in

[tex]\pi \: r {}^{2} h[/tex]

[tex](3.14) \times (4 {}^{2} ) \times 9[/tex]

[tex]3.14 \times 16 \times 9[/tex]

[tex]452.16 \: {in}^{3} [/tex]

2) find volume of cuboid

formula: length × width × height

given:

length = 16 in

width = 11 in

height = 11 in

[tex]l \: \times w \: \times h[/tex]

[tex]16 \times 11 \times 11[/tex]

[tex]1936 \: in {}^{3} [/tex]

total volume of figure

= volume of cylinder + volume of cuboid

= 452.16 in³ + 1936 in³

= 2388.16 in³

you have 10 eggs you crack 2 cook 2 and eat 2 how many eggs do you have left?

Answers

Answer:

Wouldn't it be 8?

Step-by-step explanation:

You crack 2 eggs and cook them, then eat them. If we cracked 2 eggs, cooked 2 different eggs, and ate 2 different eggs, that doesn't make sense.

Answer:

8

Step-by-step explanation: you can crack, cook, and eat with 1 egg

so if you cracked 2 cooked 2 and ate 2, it means that you only used 2

Refer to - KLMN
2x
M
101
-3
2y
P
y + 3 cm
60°
К.
N
x + 4 cm
mZ1 + m22 =

Answers

Answer:

[tex]m∠1 + m∠2 = 180[/tex]

Step-by-step explanation:

[tex]m∠1 = m∠3 \\ m∠2 = m∠4[/tex]

[tex]m∠ 1 = m∠3 \\ 60 = 60[/tex]

[tex]360 - m∠1 + m∠3 = m∠2 + m∠4[/tex]

[tex]360 - 60 + 60 = m∠2 + m∠4[/tex]

[tex]360 - 2(60) = m∠2 + m∠4[/tex]

[tex]360 - 120 = m∠2 + m∠4[/tex]

[tex]240 = m∠2 + m∠4[/tex]

[tex] \frac{240}{2} = m∠2 = m∠4[/tex]

[tex]120 = m∠2 = m∠4[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 = 60 \\ m∠3 = 60[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 + m∠2 + m∠3 + m∠4 { = }^{?} 360[/tex]

[tex]60 + 120 + 60 + 120 { = }^{?} 360[/tex]

[tex]2(60) + 2(120) { = }^{?} 360[/tex]

[tex]120 + 240 { = }^{?} 360[/tex]

[tex]360 = 360[/tex]

[tex]m∠1 + m∠2 [/tex]

[tex]60 + 120 = 180[/tex]

[tex]m∠1 + m∠2 = 180[/tex]

Jill would like an increase in the hourly wage she receives from the Mathematics Research Center, where she works in the mail room. Her boss gives her an equation to solve, telling her that her raise is the solution to the equation, but only if she can solve it. The equation is x 2- 6x + 9 = 0. What was the amount of her raise per hour? Answer:

Answers

Answer:

Jill will receive an increase of $3 per hour

Step-by-step explanation:

The Quadratic Equation

The quadratic equation can be represented in the standard form as:

[tex]ax^2+bx+c=0[/tex]

being a,b, and c are constants.

It can be solved by using the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Jill would like an increase in her hourly wage. The increase will come as the solution for a maths equation.

She must solve the equation:

[tex]x^2-6x+9=0[/tex]

The solution to the equation, or value of x, is the increase in her hourly wage.

Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:

[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]

The square root is 0, therefore is only one solution:

[tex]\displaystyle x=\frac{6}{2}=3[/tex]

x = 3

Thus, her raise per hour is $3.

While President, Obama received an average of 60, 000 letters per week at the White House.
Approximately how many letters does he receive in a day?

Answers

Answer:

8571 letters per day

Step-by-step explanation:

60,000/1 week is the same as 60,000/7 days so

60,000/7 = 8571.428571

is aproximately 8571 letters per day

Using the triangles shown below, explain how the ASA congruence criteria follows from the definition of congruence in terms of rigid motions.

Answers

Answer:

I have this question too

Step-by-step explanation:

All i know is that the ASA shows that even when they are rotated or translated due to rigid motions, they are still congruent because it shows that the angles and sides are equal.

ashton needs a total of $1.50 in quarters for a coin- operated car wash. He already has $0.75. which equation can be used to find q, the number of additional quarters ashton needs in order to have enough money for the car wash?

Answers

.75+q=1.50 :)!!!!!!!

25 Point Math Question Image Attached

Answers

X = hypotenuse x sin(angle)

Rewriting this with the given information:

Sin(26) = x/10

The answer is B.

Answer:

answer is B

Step-by-step explanation:

just got it right

help asap please help​

Answers

Answer:

Answer:

The Prime Factorization is:

2 x 5 x 11

Step-by-step explanation:

put the numbers in order from least to greatest.

5 * 10^6

4000000

5 * 10^5

0.6 * 10^7

75 * 10^5

Answers

So if u simplify them all it would be 5000000, 4000000, 500000, 6000000, 7500000 so it would be least is 500000, 4000000, 5000000, 6000000, and 75000000 being the greatest... I hope this helps uuuu! :)

find the area of each trapezoid 32 ft x 16 ft 18 ft ​

Answers

Answer:

A = 432 ft^2

Step-by-step explanation:

[tex]A=\frac{a+b}{2} *h[/tex]

A = (32+16)/2 * 18

A = 48/2 * 18

A = 24*18

A = 432 ft^2

7. A group of Ember students went to a campground. While there they cooked and found a
way to stay warm throughout the night. They placed logs in a pit and started a fire. Which
type of energy was emitted by the fire?
. A. thermal energy
B. nuclear energy
e C. electrical energy
D. chemical energy

Answers

D. Chemical Energy because the fire has wood and the wood is burning and that is making ashes and also when you light the fire it creates a chemical change cause if you touch it it will burn you and put much damage on you

Find the area of the triangle.
7 yd
24 yd
The area is
square yards.

Answers

Answer:

84 yd^2

Step-by-step explanation:

Answer:

½ × 7yd × 24yd = 84yd² <<<<< the answer

Make h the subject of the formula x = 5h + 8

Answers

Answer:

h=(x/5)-8

Step-by-step explanation:

i hope that helps

Formula for h is, h = 1/5 (x - 8).

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The formula is,

⇒ x = 5h + 8

Now, We can solve the formula for h as;

⇒ x = 5h + 8

Subtract 8, we get;

⇒ x - 8 = 5h + 8 - 8

⇒ x - 8 = 5h

Divide by 5;

⇒ 1/5 (x - 8) = h

⇒ h = 1/5 (x - 8)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

HELLPPPPPPPPP PLEAAASSSEEEEE

Answers

Option number 3 should be the correct answer

hii pls answer as quickly as possible i will give you the brainliest :))​

Answers

Answer:

sorry

Step-by-step explanation:

I really don't know answer

Find the value of x in the diagram below. Classify

Answers

Answer:

x = 31.3

Step-by-step explanation:

100° and (3x + 6)° are vertical angles. Vertical angles are congruent.

To find the value of x, set both equal to each other.

3x + 6 = 100

3x = 100 - 6 (subtraction property of equality)

3x = 94

x = 94/3 (division property of equality)

x = 31.3 (nearest tenth)

-3(1)+(-3)(-1) =
+()]
-3(1) + (-3)(-1)=-3[0]
-3(1)+(-3)(-1) =
_
+(-3)(-1) =
+

Answers

Answer:

³⅜

Step-by-step explanation:

⁴⁵⅖

+⁷⅝×⅖i

I HOPE IT HELP TYSM

Answer:

i dunno

Step-by-step explanation:

Help me find the radius please

Answers

Answer:

The radius is 2.46686837338 or simplified: 2.5.

Step-by-step explanation:

A = 60 so it would be √60/3.14 =2.46686837338

I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Find the value of the expression. 12 - (-13) + (-1)

Answers

Answer:

24

Step-by-step explanation:

Answer:

The value is equvilant to 24

12−(−13)−1

=24

The problem was already simplified-

Oh and try using this website called math papa its an algebra calculator it really helps and it even shows you the step by step process!

Ramon earns $1,785 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

3.0%

Step-by-step explanation:

[tex](\frac{53.80}{1785}) * 100 = 3.01[/tex]

help please, I need help

Answers

Answer:

1. <

2. <

3. >

Step-by-step explanation:

-8 is smaller than 8

the absolute value of -4 is 4, but there is another minus, so it becomes -4.  -4 is smaller than -2

-7 is bigger than -9

Answer:

Step-by-step explanation:

-8 < |8|

-|-4| < -2

-7 > -9

absolute value has the || sign around the number. If you see that, and there's a "minus" sign, then reverse it to a PLUS sign. Because absolute value is just how far away the number is to 0. So -8 is "8" to 0.

now if we have for example, -|-4| then it'd be -4 because |-4| is 4, but then -4 again cause there's a minus sign.

please help I need the answer!!! thanks in advance!

Answers

Answer:

0.903

Step-by-step explanation:

[tex] log_{a}8 \\ \\ = log_{a} {2}^{3} \\ \\ = 3log_{a} {2} \\ \\ = 3 \times 0.301 \\ \\ log_{a}8 = 0.903[/tex]

The correct answer is 0.903. I hope this helps.
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