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german
3 years ago
11

Simplify (2x + 3)(x – 4) = ?

Mathematics
1 answer:
svlad2 [7]3 years ago
7 0
<span>Solutions

1) Equation
</span>⇒ <span><span>(<span><span>2x</span>+3</span>)</span><span>(<span>x−4</span>)

</span></span>⇒<span><span>(<span><span>2x</span>+3</span>)</span><span>(<span>x+<span>−4</span></span>)
</span></span>⇒<span>(2x)(x)+(2x)(−4)+(3)(x)</span>+<span>(3)(−4)
</span>⇒2 x^{2} <span><span><span>−<span>8x</span></span>+<span>3x</span></span>−12
</span>⇒2 x^{2} <span><span>−<span>5x</span></span>−<span>12

Answer - </span></span>2 x^{2} <span>−5x−12</span><span>

</span>
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What is the domain of f/g, given f(x)=x+2 and g(x)=x-7?
kodGreya [7K]

Answer:

(-∞,7) U (7,∞)

Step-by-step explanation:

f(x)= x+2

g(x) = x-7

\frac{f(x)}{g(x)} =\frac{x+2}{x-7}

Here we have x-7 in the denominator

To find domain we set the denominator =0  and solve for x

x-7=0

Add 7 on both sides

x=7

x=7 makes the denominator 0 that is undefined

So we ignore 7 for x

Hence domain is

(-∞,7) U (7,∞)

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2 years ago
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3 years ago
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CaHeK987 [17]
It can also be written as fifty-five.
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Find f(12) = 3/4 x + 2
AlekseyPX

Answer:

f(12) = 11

Step-by-step explanation:

To solve this question:

  1. Substitute x = 12 into the equation: f(12) = 3/4 (12) + 2
  2. Simplify: 3/4 × 12 = 36/4 which is 9 → f(12) = 9 + 2
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Hope this helps!

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