Using a linear function, it is found that the product rs is rs = 81.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:
m = -16/64 = -0.25.
Hence:
y = -0.25x + b.
When x = 34, y = -4, hence this is used to find b.
-4 = -0.25(34) + b
b = 4.5.
Hence the function is:
y = -0.25x + 4.5.
f(r) = 0, hence:
-0.25x + 4.5 = 0
x = 4.5/0.25
x = 18
r = 18.
f (0) = s, hence s = 4.5.
Then the value of the product is:
rs = 18 x 4.5 = 81.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
f(x)=12x
Step-by-step explanation
We know that f(x) is our y-coordinate and x is the x-coordinate
Next we should insert x-6 as x in the equation
This is f(x)=12(x-6)-72
But if you look at this that leads to 12x-72 (ignore y-intercept)
That is our first equation
This means that if you take out -6 from the x
You will get f(x)=12x
(Also do you go to RSM?)
To make it like a simple, I'll make an equation. Let x be the number of hours because x represents unknown and we don't know the hours. Then your per hour is $7.25 right? so it would be x7.25. You want to know how many hours you will work so you can earn $125. The equation is simple as this x7.25 = 125.
All you have to do is divide the equation by 7.25 because that's your per hour.
It will look like this, <u>x7.25</u> = <u>125</u> then the answer would be 17.24 hours.
7.25 7.25
Answer:
630.
Step-by-step explanation:
<u>Given the following data;</u>
Dimensions for cube = ¼ inches
Volume = 1/64 cubic inches.
For rectangular box;
Length = 2½ = 5/2 inches.
Width = 2¼ = 9/4 inches.
Height = 1¾ = 7/4 inches.
Volume = 315/32 inches
Therefore, to find the amount of cubes;
Substituting into the equation, we have;
Number of cubes = 630
