To finish the table lets see what the differences are between the input (x) and the output (Y)
when input is 32 the output is 20, 32-20 = 12
when input is 14 the output is 2, 14-2 = 12
since the top 2 have the same result, the output is the input minus 12
now that we know that we can finish the table:
when the input is ? the output is -6, so the input = -6 +12 = 6
check: 6-12 = -6 true
when the input is -10, we subtract 12 to get -22 for the output
so the missing input is 6 and the missing output is -22
the function rule would be Y=x-12
Hey, do you need to simplify all of them?
Answer:
24 feet
Step-by-step explanation:
factors that produce an area of 32:
1x32 Would give a perimeter of 66
2x16 Would give a perimeter of 36
4x8 Would give a perimeter of 24
The linear function which represents the line given by the point-slope equation is (B)
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<h3>
What is a linear function?</h3>
- The word linear function in mathematics refers to two distinct but related concepts.
- A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
To find the linear function which represents the line given by the point-slope equation:
Given: 
Distribute the right side:

Adds 8 on both sides:

Convert to function notation:

Therefore, the linear function which represents the line given by the point-slope equation is (B)
.
Know more about linear functions here:
brainly.com/question/15602982
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The complete question is given below:
Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals start fraction one-half end fraction left-parenthesis x minus 4 right-parenthesis. (x – 4)?
A) F(x) = f(x) equals StartFraction one-half EndFraction x plus 4.X + 4
B) f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.
C) X + 6 f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.X –10
D) f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.X – 12