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3 years ago

13

How do you solve (2x + 8 )2 =64

1 answer:

Drupady [299]3 years ago

4 0

Answer:

x = 12

Step-by-step explanation:

Write in a different way: 2(2x + 8) = 64
Apply the distributed property, so it now looks like this: 4x + 16 = 64
Subtract 16 from each side, so it now looks like this: 4x = 48
Divide each side by 4 to cancel out the 4 next to x. It should now look like this: x = 12

I hope this helps!

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2 years ago

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Step-by-step explanation:

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Read 2 more answers

The table below represents a linear function f(x) and the equation represents a function g(x):

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(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

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$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

<em></em> $f(0) > g(0)$ <em></em>

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2 years ago