Okay. So, what we do first is do the distributive property by multiply each number in the parenthesis by 3. When we do that, we get (6x + 12), because 3 * 2x is 6x and 4 * 3 is 12. Now, the numbers written out in long form is 5 + 6x + 12 + 6. 6x is in simplified form, because there is nothing that we can combine it with, but we do need to combine the whole numbers. 5 + 12 is 17, and 17 + 6 is 23. The expression in simplified form is 6x + 23. The answer is B.
Part A :
80x0.18= 14.4
Part B :
80x 0.075= 6
Part C
14.4+6 +80=$100
Using translation concepts, it is found that function g(x) is given by:
g(x) = x + 8.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, function g(x) is a translation 8 units left of f(x) = x, hence x -> x + 8 and:
g(x) = f(x +8) = x + 8.
More can be learned about translation concepts at brainly.com/question/4521517
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