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Marianna [84]
3 years ago
15

If g(x) = 1/2x - 5, then for what value of x is g(x) = 8? a) -1 b) 11 c) 26 d) 6

Mathematics
1 answer:
NikAS [45]3 years ago
4 0

Answer:

c) 26

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 1/2x - 5

g(x) = 8

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    8 = 1/2x - 5
  2. Isolate <em>x</em> term:               13 = 1/2x
  3. Isolate <em>x</em>:                       26 = x
  4. Rewrite:                         x = 26
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Step-by-step explanation

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  • \rightarrow 3A=\begin{bmatrix} 18 & 18 & 12 \\\\ 21 & -12 & 12\\\\ -18 & 27 & -9\end{bmatrix},\:\: 9B =\begin{bmatrix} 9 & 45 & -72 \\\\ 81 & -45 & -72\\\\ 81 & -45 & 18\end{bmatrix}

  • \rightarrow 3A+9B=\begin{bmatrix}18+9 & 18+45 & 12+(-72) \\\\ 21+81 & -12 +(-45) & 12+(-72)\\\\ -18+81 & 27+(-45) & -9+18 \end{bmatrix}

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  • \rightarrow \purple{\bold{3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}}}
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