Solve 7x − 2(x + 1) = 6x + 14. (5 points) −12 12 −16 16

7 times a number is 18 less than the square of that number. Find the positive solution.

Arte-miy333 [17]

So 7 x = x2 -18 so you get the quadratic x^2 -7x -18 and then get 2 x -9= -18 and 2 + -9 = -7 so you get (x + 2) ( x - 9) so the positive solution would be x-9 = 0 so x= 9. Hope this helps :)

7 0

3 years ago

Line m passes through the points (-2,7) and (4,-5), as shown below. Which of the following could be the equation of a line that

True [87]

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

To find the slope (m), use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$ And plug in the two points

(-2, 7) = (x₁, y₁)

(4, -5) = (x₂, y₂)

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-5-7}{4-(-2)}$ (two negative signs cancel each other out and become positive)

$m=\frac{-5-7}{4+2}$

$m=\frac{-12}{6}$ Simplify the fraction

m = -2

The slope is -2, so the parallel line's slope is also -2.

Your answer is C

3 0

3 years ago

What is the product of 60?

Rzqust [24]

We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2.

8 0

2 years ago

Read 2 more answers

At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician

Serhud [2]

Answer:

The value of the test statistic is $t = 1.97$