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Gnoma [55]
3 years ago
12

Which expressions are equal to -5/8 - (-1/8-1/2)

Mathematics
1 answer:
boyakko [2]3 years ago
7 0

-5/8 - (1/8 - 1/2) Parentheses first in order of operations

-5/8 - (1/8 - 4/8 = -3/8)

-5/8 - (-3/8) Two negatives make a positive; two minuses make a plus

-5/8 + 3/8 = -2/8 = -1/4

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Enter your answer and show all the steps that you use to solve this problem in the space provided.
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Answer:

\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}

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Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³           - 7x + 4

(b) Create a subtraction problem using the two functions

        ƒ(x) =    9x³ + 2x² - 5x + 4

      -g(x) =  <u>-(5x³           - 7x + 4) </u>

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

        ƒ(x)   =    9x³ + 2x² - 5x + 4

      -g(x)  =   <u>-(5x³          -  7x + 4) </u>

ƒ(x) -g(x) =      4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

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