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: 100
Step-by-step explanation:
Answer:
x= 0.22947
Step-by-step explanation:
Answer:
(2,-1)
y= -1
x= 2
Step-by-step explanation:
y= -2x+3
4x-3y=11
substitute the value of y into an equation
4x-3(-2x+3)=11
distribute by multiplying numbers in parenthesis by -3
4x+6x-9=11
add 4x to 6x
10x-9=11
add 9 from both sides
10x=20
divide both sides by 10
x=2
substitute the value of x into an equation
y= -2•2+3
multiply -2 to 2
y= -4+3
add -4 to 3 but 4 is negative, so subtract
y= -1
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(2,-1)
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Answer: 5
Step-by-step explanation: This is the equation
12^2 + x^2 = 13^2
You solve for x
