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Iteru [2.4K]
2 years ago
14

Solve for x.

Mathematics
1 answer:
Leto [7]2 years ago
3 0

Answer:

x < 4

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

  • -8x + 10 - 10 > -22 - 10
  • -8x > -32

Step 2: Divide both sides by -8 and flip the inequality sign.

  • \frac{-8x}{-8} > \frac{-32}{-8}
  • x < 4

Therefore, the answer is x < 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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3 years ago
Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)
LenaWriter [7]

Answer:

The slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

  • (-1, -2)
  • (3, 4)

Determining the slope between (-1, -2) and (3, 4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

m=\frac{4-\left(-2\right)}{3-\left(-1\right)}

m=\frac{3}{2}

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

4=\frac{3}{2}\left(3\right)+b

switch sides

\frac{3}{2}\left(3\right)+b=4

\frac{9}{2}+b=4

subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)

y=\:\frac{3}{2}x\:-\frac{1}{2}

Therefore, the slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}
8 0
3 years ago
Sorry to be annoying but there's another question i don't understand... :)
miskamm [114]

Answer:

8.20

Step-by-step explanation:

6.15*4=24.6

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you divide 24.6 by 3 and get 8.20

3 0
3 years ago
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