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NNADVOKAT [17]
3 years ago
7

H (t) = 2t - 2 g(t) = 4t + 5 Find (h(g(t)) ​

Mathematics
1 answer:
ASHA 777 [7]3 years ago
5 0

Answer:

h(g(t))=8t+8

Step-by-step explanation:

We are given the two functions:

h(t)=2t-2\text{ and } g(t)=4t+5

And we want to find:

h(g(t))

So, by substitution, we acquire:

h(g(t))=2(4t+5)-2

Distribute:

h(g(t))=8t+10-2

Simplify:

h(g(t))=8t+8

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Answer:

\displaystyle \frac{x + 7}{3}

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<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
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Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{x^2 + 12x + 35}{3x + 15}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                          \displaystyle \frac{(x + 5)(x + 7)}{3x + 15}
  2. [Fraction] Factor denominator:                                                                       \displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}
  3. [Fraction] Divide:                                                                                             \displaystyle \frac{x + 7}{3}
4 0
3 years ago
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