What is the value of f(x) = 2 • 2^x for f(–2)? Will Give brainliest answer!!!

1 answer:

5 0

For f(-2), x will equal -2.

Plug the x-value into the equation:

$2 \times 2^{-2}$

A negative exponent means that the term turns into a fraction, with 1 as the numerator and the positive exponent as the denominator.
Solve 2^(-2):

$2^{-2} = \frac{1}{2^{2}} = \frac{1}{4}$

Solve the problem:

$2 \times \frac{1}{4} = \frac{1}{2}$

f(-2) will equal 1/2.

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Dima020 [189]

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7 0

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When 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?

vovangra [49]

Answer:

Simplifying the expression: $2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)$ we get $\mathbf{42x-100y-360}$

Step-by-step explanation:

We need to simplify the expression: $2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)$

First we will solve terms inside the bracket

$2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)$

Converting mixed fraction $1\frac{1}{2} y$ into improper fraction, we get: $\frac{3}{2}y$

Replacing the term:

$2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)$

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

$2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)$