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Naddika [18.5K]
3 years ago
11

Write an equation that defines m(x) as a trinomial where m(x)=(3x-1)(3-x)+4x^2+18

Mathematics
1 answer:
AlladinOne [14]3 years ago
5 0

Answer:

m(x) = x² + 10x + 15

Step-by-step explanation:

Rewrite m(x) = (3x-1)(3-x) + 4x² + 18 as a trinomial (three-term equation) by simplifying the equation. Expand the brackets by multiplying the binomials and collect like terms.

m(x) = (3x-1)(3-x) + 4x² + 18    Multiply brackets with terms FOIL (first, outside, inside, last)

m(x) = (9x - 3x² - 3 + x) + 4x² + 18   The brackets can be removed

m(x) = 9x - 3x² - 3 + x + 4x² + 18   See what terms have the same variables

m(x) = -3x² + 4x² + 9x + x  + 18 - 3  Like terms are rearranged together

m(x) = x² + 10x + 15    Collected like terms

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Step-by-step explanation:

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Let us assume the number of hours she worked for walking dog = m hours

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Also, earning of Camilla for walking dog for m hours  = m x ( 1 hour income)

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or, m = 64/16 =  4

or, m = 4 hours

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