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

What is the value of the expression below when x=5?

Answers

Answer:

790

Step-by-step explanation:

You put 5 instead of x and you calculat

6*5^3 +8*5= 750+40=790

The answer should be 790

The price to go to a show is usually $16.50, but if you go on Tuesday, you will only pay $9.90.
What percent of the original price is the discounted ticket price?

Answers

It should be 60%. you save 40%

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.

5. The weight of 1 bag of sugar is 12.5 kg. What is the weight of 15 such bags?

Answers

Answer:

187.5

Step-by-step explanation:

Answer:

187.5

Step-by-step explanation:

The reason is because I just did the math and I am pretty sure this is right please give me brain list

Can somebody explain how to do this quickly. Already know how to solve it but it takes me a long time

Answers

Answer:

n = 8

Step-by-step explanation:

Initial point: (1, -2)

Final point: y = x

Blue light translation:

4 units right, 5 units downNumber of translations = n

Red light translation:

1 unit left, 4 units upNumber of translations = 15

Final point is going to be:

x = 1 + 4n - 15*1 = 4n - 14y = -2 - 5n + 15*4 = -5n + 58

Since the coordinates of final point are same, we have:

4n - 14 = -5n + 584n + 5n = 58 + 149n = 72n = 72/9n = 8

Which of the three ordered pairs represent the
unit rate?
(1,4)
(3, 12)
(2,8)

Answers

Answer:

(1,4)

Step-by-step explanation:

That's the rate that each coordinate point goes up by as well as it's the first point in the table

Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339.
z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction

If the sample mean is $31,650, what is the z-score? Answers are rounded to the hundredths place.

Answers

Answer: The z-score = 2.46

Step-by-step explanation:

Given:  sample size : n= 10

Population mean : [tex]\mu= 29056[/tex]

population standard deviation : [tex]\sigma= 3339[/tex]

Sample mean : [tex]\overline{x} = 31650[/tex]

Formula to calculate z :

[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

Substitute all values, we get

[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]

Hence, the z-score = 2.46

What is a reasonable amount of Miles on a used car that you are planning on purchasing

Answers

Answer:

1000 or more

Step-by-step explanation:

because the motor is is good shape

Carlos tosses a coin 3 times. What is the probability of a coin landing heads up all three times?

Answers

Answer:

1/8, or 12.5%.

Step-by-step explanation:

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

binomio al cubo
(x+2)3​

Answers

Answer:

3x+6

Step-by-step explanation:

(x+2)3

3(x)+3(2)

3x+6

3.7+3.-1=
help I have a homework and I don't know the answer ​

Answers

Answer:

the solution is 5.7

3.7+3-16.7-15.7

3x-5y=22 y=-5x+32 what is the value of x

Answers

Here you goo:))) god

What is
125% of
16?

please help me i’m not good at math at all.

Answers

Answer:

125% of 16 is 20

Step-by-step explanation:

Hope this helps!

Given f(x) = 6x^4, find f^-1(x). Then state whether f^-1 (x) is a function.
A. Y=+or-(x/6)^4; f^-1(x) is not a function
B. Y= +or- (x/6)^4 ; f^-1(x) is a function
C. Y= +or- (x/6)^1/4 ; f^-1(x) is a function
D. Y= +or- (x/6)^1/4 ; f^-1(x) is not a function

Answers

Answer:

D. Y= +or- (x/6)^1/4 ; f^-1(x) is not a function

Step-by-step explanation:

A function g is the inverse of function f if for y=f(x), x=g(y).

y = 6x^4

Replace x with y:

x = 6y^4

Solve for y:

+or- x^1/4 = 6y

+or- (x/6)^1/4 = y

For each x there are 2 values of y: negative and positive. So, it is not a function.

A person places $1380 in an investment account earning an annual rate of 8.6%,
compounded continuously. Using the formula V = Pent, where Vis the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.

Answers

Answer:

3261.16

Step-by-step explanation:

r=8.6\%=0.086

r=8.6%=0.086

Move decimal over two places

P=1380

P=1380

Given as the pricipal

t=10

t=10

Given as the time

V=Pe^{rt}

V=Pe

rt

V=1380e^{0.086( 10)}

V=1380e

0.086(10)

Plug in

V=1380e^{0.86}

V=1380e

0.86

Multiply

V=3261.1618\approx 3261.16

V=3261.1618≈3261.16

Find 83 1/3 % of 384

Answers

Answer:

319.872

Step-by-step explanation:

319.872 / 384 = 83 1/3 / 100

Final Answer: [tex]320[/tex]

Steps/Reasons/Explanation:

Question: Find [tex]83\frac{1}{3}[/tex]% of [tex]384[/tex].

Step 1: Convert mixed fraction into improper fraction.

[tex]\frac{250}{3}[/tex]

Step 2: Multiply [tex]\frac{250}{3 * 100}[/tex] with [tex]384[/tex].

[tex]\frac{96000}{300}[/tex]

Step 3: Simplify

[tex]320[/tex]

~I hope I helped you :)~

bc
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. Write an equation to represent the situation.
A) 30 - 0.12 = 18x
B) 18 + 0.12x = 30
C) 18 - 0.12x = 30
D) 18x + 0.12 = 30
please help​

Answers

Answer:

B)

Step-by-step explanation:

Because it says that Alex wants to spend exactly $30 so you want to have 30 as the total (  = 30 )

and it says 18 plus, you only add 18 one time ( 18 + )

and then it says 0.12 per mile, so you need to do something times 0.12 + 18 and get exactly 30. so you do ( 0.12x ) in this case we're not solving it we're just doing the equation so it's just 0.12x instead of a specific number

Put it all together and you get 18 + 0.12x = 30

Hope this helps dude

What is the size of the exterior and interior angle of a regular polygon if it has 3 sides

Answers

Answer:

120° and 60°

Step-by-step explanation:

The sum of the exterior angle of a polygon is 360°, then

exterior angle = 360° ÷ 3 = 120°

The exterior and interior angle sum to 180°, then

interior angle = 180° - 120° = 60°

Which is an equation of the line that passes
through the points (1.3) and (-1, 1)?
A. X= 1
B. y = 2x + 1
C. y=x+2
D. y = 3

Answers

Answer:

c) y=x+2

Step-by-step explanation:

find slope and y-intercept then write in y=mx+b form and see which one matches

The table below shows the number of pages Stephen read by hour. If you were to graph the data it would be a proportional relationships. What is the slope of the data?

Number hours Stephen read Number of pages Stephen read
3 96
4 128
6 192
9 288
12 384

Answers

Answer:

32

Step-by-step explanation:

divide each number and you get 32 for all of them which gives you the slope i think

Use GCF to factor
40x+24y-56

Answers

Answer:

8(5x+3y-7)

Step-by-step explanation:

I just learned this like 2 months ago lolll

8(5x+3y-7) is the answer

Using the rule of subtraction, how could you rewrite the following as an addition sentence? -3 - 7

Answers

Answer:

(-3) + (-7)

Step-by-step explanation:

Follow me please.......

I. What is
42% of
18?

need help fast!

Answers

Answer:

It is 7.56!

Other:

Brainliest? Thanks!

Please help me out !!!

Answers

Answer:

If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!

Step-by-step explanation:

4x+5 = 2x+19

2x=14

x=7

4(7)+5+2(7)+19 = 42+24 = 66

Please help meeeeeeeeee

Answers

midpoint formula ((x1+x2)/2, (y1+y2)/2)
((4+10)/2, (2+4)/2)

answer is (7,3)

Answer:

(7,3)

Step-by-step explanation:

You're welcome.

What is the value of | -5 | - (-5)?

Answers

|-5|-(-5)

The absolute value of any number is always positive

5-(-5)

When there is a in front of an expression in parentheses, change the sign of each term in the expression

5+5

Add the numbers

10

Answer=10

A coffeemaker can brew at a rate of 1 cup every 0.8 minute. At this rate, how long would it take to brew 6 cups?

Answers

Answer:

.48

Step-by-step explanation:

which transformation is happening in the image below​

Answers

Answer:

B.) Reflection over y=-3

Step-by-step explanation:

The question is below

Answers

Answer:

x + 7

Step-by-step explanation:

ajiahaqjjaqjajajanqjq

Which value could go in the blank cell so that the percentage of only children that
have no pets is 37.5%?
A. 63
B. 82
C. 175
D. 205

Answers

Answer:

maybe B

I am not to my answer

The solution is Option A.

The number of only children with no pets is given by the equation A = 63 and the percentage would be P = 37.5 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of only children with no pets be A

Now , the equation will be

The number of siblings with pets = 82

The number of siblings with no pets = 141

The number of only child with pets = 105

Now , let A = 63

So , the total number of children = 105 + 63 = 168

The percentage given is P = 37.5 %

So , the percentage of children with no pets P = ( number of only children with no pets / total number of children ) x 100

Substituting the values in the equation , we get

Percentage of children with no pets P = ( 63 / 168 ) x 100

Percentage of children with no pets P = 0.375 x 100

Percentage of children with no pets P = 37.5 %

Therefore , the value of A is 63

Hence , the number of children with no pets i 63

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

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