Which is the solution to the inequality? 1/4 + x < 5/8

1 answer:

7 0

X < 3/8 would be correct I think, you are solving for the system of inequalities, right? tell me if you need a different answer, i'll try to help to the best of my abilities

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I’d appreciate help ASAP please and thank you!

White raven [17]

<h3>Answer: Choice C) 40 </h3>

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Work Shown:

Plug in x = 0

$g(x) = 3^{2x}\\\\g(0) = 3^{2*0}\\\\g(0) = 3^{0}\\\\g(0) = 1\\\\$

This indicates that (0,1) is on the curve. This is the y intercept.

Do the same for x = 2

$g(x) = 3^{2x}\\\\g(2) = 3^{2*2}\\\\g(2) = 3^{4}\\\\g(2) = 81\\\\$

So we know that (2,81) is another point on this curve.

We need to find the slope of the line through (0,1) and (2,81) to get the slope of the secant line we want.

$m = \text{slope}\\\\m = \frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{g(2)-g(0)}{2-0}\\\\m = \frac{81-1}{2-0}\\\\m = \frac{80}{2}\\\\m = 40\\\\$

The slope of the line through (0,1) and (2,81) is m = 40. This value of m is exactly the slope of the secant line your teacher is asking for. This is why the answer is choice C.

5 0

2 years ago

Can someone pls explain how to do order of operations

harina [27]

Answer:

do you mean PEMDAS?

Step-by-step explanation:

parenthesis, exponents, multiplication, division, addition, and subtraction

you solve in order and go left to right

if you give an equation i can explain it better, but it's basically that

4 0

2 years ago