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jeka94
3 years ago
11

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! Solve for x. 3x2 + 13x = 10

Mathematics
1 answer:
AlekseyPX3 years ago
6 0

3x^2+13x=10\ \ \ |-10\\\\3x^2+13x-10=0\\\\3x^2+15x-2x-10=0\\\\3x(x+5)-2(x+5)=0\\\\(x+5)(3x-2)=0\iff x+5=0\ \vee\ 3x-2=0\\\\x+5=0\ \ \ \ |-5\\\boxed{x=-5}\\\\3x-2=0\ \ \ \ |+2\\3x=2\ \ \ \ |:3\\\boxed{x=\dfrac{2}{3}}\\\\Answer:\ x=-5\ or\ x=\dfrac{2}{3}

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Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))
Vinvika [58]

Answer:

f(g(4)) = 213

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 8x + 5

g(x) = 7x - 2

<u>Step 2: Find f(g(4))</u>

  1. Substitute in <em>x</em> [Function g(x)]:                                                                         g(4) = 7(4) - 2
  2. Multiply:                                                                                                             g(4) = 28 - 2
  3. Subtract:                                                                                                            g(4) = 26
  4. Substitute in function value [Function f(x)]:                                                      f(g(4)) = 8(26) + 5
  5. Multiply:                                                                                                              f(g(4)) = 208 + 5
  6. Add:                                                                                                                   f(g(4)) = 213
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