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2 years ago

Which of the following is the solution to the inequality below? 6 - 2x > -18

Mathematics

1 answer:

Stella [2.4K]2 years ago

8 0

Answer:

$\large\boxed{x$

Step-by-step explanation:

$6-2x>-18\qquad\text{subtract 6 from both sides}\\\\6-6-2x>-18-6\\\\-2x>-24\qquad\text{change the signs}\\\\2x$

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Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-interc

Oksi-84 [34.3K]

The point slope form of the line has the following form:

y – y1 = m (x – x1)

The slope m can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

m = (3 - 0) / (0 – 4) = - ¾

So the whole equation is:

y – 0 = - ¾ (x – 4)

y = - ¾ (x – 4) or

y = - 0.75 (x – 4)

7 0

3 years ago

What is the x-coordinate of the solution of the system? x+y+3 4x-y=-38

steposvetlana [31]

Note: I am assuming the first equation is:

x+y = 3

Answer:

The solution to the system of equations is:

(x, y) = (-2, 36)

Therefore, the x-coordinate of the solution of the system

x = -2

Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}x+y=34\\ x-y=-38\end{bmatrix}$

subtracting the equations

$x-y=-38$

$-$

$\underline{x+y=34}$

$-2y=-72$

solve -2y for y

$-2y=-72$

Divide both sides by -2

$\frac{-2y}{-2}=\frac{-72}{-2}$

$y=36$

For x+y=34 plug in y = 36

$x+36=34$

Subtract 36 from both sides

$x+36-36=34-36$

Simplify

$x=-2$

Thus, the solution to the system of equations is:

(x, y) = (-2, 36)

Therefore, the x-coordinate of the solution of the system

x = -2

6 0

3 years ago

Simplify the following expression

sergij07 [2.7K]

It is simplified to -1/15

3 0

3 years ago

Read 2 more answers

The function relating the height of an object off the ground to the time spent falling is a quadratic relationship. Travis drops

andrezito [222]

Answer: 50 meters

Step-by-step explanation: I just finished the pretest

6 0

3 years ago

Read 2 more answers

Sarah goes for a run around her neighborhood. She runs 2.5 miles in 20 minutes. Sarah’s average speed is ______ miles per minute

MrMuchimi

I think I would first convert it to hours to solve it and then back to minutes at the end. Super strange it’s been asked for in minutes.

So to convert 20 minutes into hours, you need to multiply by 3.

This means you need to do the same to the other side, cause if they’ve travelled 2.5 miles in 20 minutes, they’d travel 3 times that in an hour.

So this is 7.5m/ph

But then they want it in minutes, so I suppose 7.5/60?

So 0.125m/pm?

5 0

2 years ago