Answer:
C) Quadrant III
Step-by-step explanation:
The flat fee that the store charges is $14 and the cost for 7 hours is $56
A linear equation is on the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
let f for the total rental cost of a vacuum cleaner for x hours
Using the points (1, 20) and (3, 32) from the table:
![f-f_1=\frac{f_2-f_1}{x_2-x_1} (x-x_1)\\\\f-20=\frac{32-20}{3-1} (x-1)\\\\f(x)=6x+14](https://tex.z-dn.net/?f=f-f_1%3D%5Cfrac%7Bf_2-f_1%7D%7Bx_2-x_1%7D%20%28x-x_1%29%5C%5C%5C%5Cf-20%3D%5Cfrac%7B32-20%7D%7B3-1%7D%20%28x-1%29%5C%5C%5C%5Cf%28x%29%3D6x%2B14)
The flat fee that the store charges is $14
The reasonable domain is 1 ≤ x ≤ 12
The cost for 7 hours is:
f(7) = 6(7) + 14 = 46
Find out more on linear equation at: brainly.com/question/14323743
Answer:
125
Step-by-step explanation:
Steps to Solving the Problem
So let's say you have five friends who who are each going to pay you five dollars for the next five days. You can figure out how much money you will receive by calculating five cubed or five to the third power. This will tell us how much money you will get because you will multiply 5 by 5 by 5 or 5 cubed.
To start, you need to turn words into numbers by figuring out the base and exponent. An exponent is the number after the ^ which tells you how many times to multiply the base number by itself. The base number comes before the ^. When five is cubed, five is the base number which will show up before the ^.
Three is the exponent and will be the number after the ^. We know three is the exponent because of the word 'cubed,' which always represents the number three.
We can write out five cubed as:
5^3
Once the exponent and base are figured out, we need to write out the long version, which shows all the multiplication being done. In this case, the exponent of three tells us to multiply five by itself three times.
5 x 5 x 5
This shows us 5 friends multiplied by $5 multiplied by 5 days.
From here, multiply the numbers out to get the final answer. Multiply two numbers at a time to so you don't make a mistake.
5 x 5 = 25
25 x 5 = 125
Answer:
A.) Even.
Step-by-step explanation:
If a function is an even function, then
F(-x) = f(x)
Also, if a function is an odd function, then, f(-x) = -f(x)
You are given the below function
f(x) = 1 + 3x^2 − x^4
Let x = 2
Substitute 2 for x in the function
F(x) = 1 + 3(2)^2 - (2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Also, Substitute -2 for x in the function
F(x) = 1 + 3(-2)^2 - (-2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Since f(-x) = f(x), we can conclude that
F(x) = 1 + 3x^2 - x^4 is even