Parallel = same slope
f(x) = 4x + b
8 = 4(3) + b, b = -4
Equation: f(x) = 4x - 4
The expression that would represent the total number of students at the summer camp for all three years is (b) 5.5s - 54
<h3>How to determine the expression?</h3>
Let the number of students in 2010 be s.
So, we have:
- Year 2011 = 1/2s i.e. half as many students in 2010
- Year 2012 = s - 54 i.e. 54 students less than 2010
The total number of students is:
Total = s + 1/2s + s - 54
Evaluate
Total = 9s/2 - 54
Rewrite s:
Total = 5.5s - 54
Hence, the expression that would represent the total number of students at the summer camp for all three years is (b) 5.5s - 54
Read more about expressions at:
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Answer:
Simplify the expression.
80x2−80x
Step-by-step explanation:
i think
The order of operations is:
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
So division comes first:


Now subtraction:
Answer:
see below
Step-by-step explanation:
Use the distributive property:
(y^2 +3y +7)(8y^2 +y +1)
= y^2(8y^2 +y +1) +3y(8y^2 +y +1) +7(8y^2 +y +1)
= 8y^4 +y^3 +y^2 + 24y^3 +3y^2 +3y + 56y^2 +7y +7
= 8y^4 +y^3(1 +24) +y^2(1 +3 +56) +y(3 +7) +7
= 8y^4 +25y^3 +60y^2 +10y +7 . . . . . matches the last choice