Megan earns a rebate each month on completing surveys and books. she earns $0.75 for each survey she completes and $1 for each book. last month megan completed 8 surveys and earned $21.

part a: create an equation that will determine the number of books she purchased.
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b: solve this equation justifying each step with an algebraic property of equality

part c: how many books did megan purchase last month?

Answer and Step-by-step explanation:

Let b = books

Part A : 8(0.75) + b = 21

Part B : 8(0.75) + b = 21

Multiply:

6 + b = 21

Take out 6 from both sides:

b = 15

Part C : Megan purchased 15 books in total

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step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1