2 years ago

What is the solution to the equation 1/4X-1/8=7/8+1/2x. X=-5 X=-4 X=4 X=5

Mathematics

1 answer:

zlopas [31]2 years ago

6 0

Answer:

-8,-4,6

Step-by-step explanation:

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Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f

daser333 [38]

Answer:

A. $f(x) = 10x + 8$

Step-by-step explanation:

The equation in slope-intercept form, $f(x) = mx + b$ , can be created to be used in finding Jack's pay. We need to find the slope (m) and the y-intercept (b) of the linear function.

Using two points (1, 18), and (1.5, 23), find the slope (m):

Slope (m) = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10$

Find b, by substituting x = 1, f(x) = 18, and m = 10 into $f(x) = mx + b$ .

$18 = (10)(1) + b$

$18 = 10 + b$

Subtract 10 from each side

$18 - 10 = b$

$8 = b$

$b = 8$

Substitute m = 10 and b = 8 into $f(x) = mx + b$ .

✅Thus, the linear function that can be used to find Jack's pay would be:

$f(x) = 10x + 8$

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