For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?

[tex]f(x) = \frac{ {2}^{x} }{x} [/tex]

Numerator

[tex]y = {2}^{x} [/tex]

The function family is exponential when separating the denominator out of numerator.

Exponential family have the equation of

[tex]y = {a}^{x} [/tex]

Denominator

[tex]y = x[/tex]

The function family is linear when separating the numerator. The equation for linear family is only

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

We combine both exponential and linear by dividing the exponential with linear.

Answer:

x = 8, y = 4

Step-by-step explanation:

y = x - 4

y = -0.5x + 8

y = y

x - 4 = -0.5x + 8

x + 0.5x = 8 + 4

1.5x = 12

x = 12/1.5

x = 8

To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)

y = (8) - 4

y = 4

OR

y = -0.5(8) + 8

y = -4 + 8

y = 4

Answer:

[tex]m = 200 + 20j[/tex]

[tex]r = 350 + 15j[/tex]

Number of jobs is 30

Step-by-step explanation:

Variable representation

Let Mark's total earnings for moving be m

Let Ryan's total earnings for moving be r

Represent the number of jobs with j

Setup equation

Mark:

[tex]Initial\ Savings = 200[/tex]

[tex]Rate = 20[/tex]

So, the total savings is:

[tex]m = 200 + 20j[/tex]

Ryan

[tex]Initial\ Savings = 350[/tex]

[tex]Rate = 15[/tex]

So, the total savings is:

[tex]r = 350 + 15j[/tex]

To get the number of jobs they save the same amount.

We have:

[tex]m = r[/tex]

Substitute values for m and r

[tex]200+20j = 350+15j[/tex]

Collect Like Terms

[tex]20j - 15j = 350 - 200[/tex]

[tex]5j = 150[/tex]

Divide both sides by 5

[tex]j = \frac{150}{5}[/tex]

[tex]j = 30[/tex]

Hence, the number of jobs is 30

Answer:19.2

Step-by-step explanation:

Answer:

y = 10x+5

Slope is 10 dollars per hour

Step-by-step explanation:

y = mx+b where m is the slope and b is the y-intercept or flat fee, here.

b = 5

10 per hour means m = 10

The correct matching will be given as A-1, B-3, and C-2.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The general equation is given below.

y = ax²

If the value of a is negative then downward parabola and if the value of a is positive then upward parabola.

If the value of a is less than one then parabola shrinks and if the value of a is more than one then parabola spreads.

Graph A is upward and shrinks parabolas so the equation will be y = x⁸.

Graph B is downward parabolas so the equation will be y = -3x⁸.

Graph C is upward and wider parabolas so the equation will be y = 0.25x⁸.  

Then the correct matching will be given as A-1, B-3, and C-2.

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ1

Answer:

i really dont know

Step-by-step explanation:

Answer:

Y= 1.5x

Step-by-step explanation:

What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)

I hope this will help

Answer:

Step-by-step explanation:

Yes!

Answer:

he can buy 5 quarts of milk

Step-by-step explanation:

Answer:

y=3x-1

Step-by-step explanation:

Answer: B

x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right

Answer:

The answer is c

Step-by-step explanation:

your welcome

Answer:

The answer is simple

Step-by-step explanation:

The answer is B, on a line graph the order goes from 0, 1, 2, 3 and so on without this order you can't use negative terms without a equation  

Answer: 6(5w+2)

Step-by-step explanation: Factor 30w+12

Answer:

i dont know

Step-by-step explanation:

Answer:

112º

Step-by-step explanation:

(you may need a calculator for this)

first let's start with what we know, we know a triangle has 180º. We also know a line has 180º. if you know the line has 180º, then ? + 126 º = 180º. so if you subtract 126 from 180, you get 54. now lets look at the triangle, we know the triangle has 180º in total. we already know one angle is 58º, and we just figured out the other is 54º. if you do 54+58, you get 112. remember, the triangle has 180 degrees in total, and two of them equal 112º, so 180 - 112 is 68. almost there! now we have to do the line trick again, because on the line, 68 + x = 180. 180- 68 is 112, so the answer is 112º. Hope this helps :D

Answer:

[tex]x\leq 2[/tex]

Step-by-step explanation:

Since the bot is filled in it is going to include [tex]\leq[/tex] or [tex]\geq[/tex]

Since the arrow is pointing to numbers below 2, 2 must be bigger. This is the answer:

[tex]x\leq 2[/tex]

Answer:

15.5

Step-by-step explanation: I know because I calculated it praporly if you say I am wrong then most likely your wrong

Answer:

slope: [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If we were to plot the first pair on a graph it would be (-2,3) and the next pair of points plotted would be (0,4). The intercepts are [tex]x^{1},x^{2}[/tex] and [tex]y^{1}, y^{2}[/tex]. To find the slope of a line using pairs of plotted points, you need to use the slope formula  [tex]\frac{rise}{run}[/tex] to solve this.

- write your formula

[tex]\frac{rise}{run} : m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

- plug in your numbers

[tex]m=\frac{4-3}{0-(-2)}[/tex]

- solve

[tex]m=\frac{1}{2}[/tex]

I hope this helps!

Answer:

The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).

Step-by-step explanation:

You can see how this factors by looking at the last term, and the coefficient of the second term.  You need to find two numbers that multiply to make seven, and add to make eight.

Because seven is a prime number, this becomes very easy.  If this works at all, the numbers must be seven and one.

And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use.  Let's do it:

x² + 8x + 7

= x² + x + 7x + 7

= x(x + 1) + 7(x + 1)

= (x + 7)(x + 1)

Answer:

The answer should be (-4,2)

Step-by-step explanation:

Answer: you will have 56

Step-by-step explanation:

Answer:

100 hours

Step-by-step explanation:

Because 18 would be 1800 and then 19 would be 1900 and then 100 would be 2000

Answer:

As y=4x−2 can be written as y=4x+(−2) . Hence, it's slope is 4 and intercept on y -axis is −2

Answer:

c

Step-by-step explanation:

7/10

Answer:

- 20

Step-by-step explanation:

Given the expression

2b - 3ac ← substitute given values for a, b and c

= 2(5) - (3 × - 2 × - 5)

= 10 - 30

= - 20

Answer:

-20 is the required answer

Step-by-step explanation:

2b-3ac

=2×5-3×-2×-5

=10-30

=-20