All categories

3 years ago

Solve the inequality for x. - 2 x - 10 ≥ 4

Mathematics

1 answer:

Inga [223]3 years ago

6 0

Answer:

x ≤ -7

Step-by-step explanation

the steps to solve this are:

1. Add 10 to both sides to get the x value and constant isolated on both sides.

-2x ≥ 14

2. Divide both sides by -2 to get the x value

x ≥ -7

3. Flip the inequality sign since you divided by a negative x-value.

x ≤ -7

Hope i could help! :)

You might be interested in

How many pairs of whole numbers have 75 as their product Show your work

Minchanka [31]

I think you mean factors? The factors of 75 are 1, 3, 5, 15, 25 and 75.

3 0

3 years ago

Two buildings are 200 feet apart. The height of the taller building is 50 ft. The angle of depression from the top of the taller

Goshia [24]

Regergregegergergergergegerge

3 0

4 years ago

Read 2 more answers

Each unit on a coordinate plane represents 1 mile. One end of the road starts at (212,23). The road ends at (6,23). How long is

olya-2409 [2.1K]

Distance formula : sqrt (x2 - x1)^2 + (y2 - y1)^2
(212,23)...x1 = 212 and y1 = 23
(6,23)......x2 = 6 and y2 = 23
now we sub
d = sqrt ((6 - 212)^2 + (23 - 23)^2)
d = sqrt ((- 206)^2 + (0^2))
d = sqrt (42436 + 0)
d = sqrt 42436
d = 206 miles <==

4 0

3 years ago

The Castel del Monte in Apulia, Italy, was built more than 750 years ago. The fortress has one central building with eight surro

zvonat [6]

It’s an “octagon,” meaning that all answers would = 8. 8 sides, 8 angles, 8 vertices

3 0

4 years ago

Read 2 more answers

One year had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at

lord [1]

Answer:

Thomas had the better year relative to their peers.

Step-by-step explanation:

The complete question is: One year Thomas had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 3.31. Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 3.02. For the males, the mean ERA was 4.837 and the standard deviation was 0.541. For the females, the mean ERA was 4.533 and the standard deviation was 0.539. Find their respective z-scores. Which player had the better year relative to their peers, or ? (Note: In general, the lower the ERA, the better the pitcher.)

We are given that for the males, the mean ERA was 4.837 and the standard deviation was 0.541. For the females, the mean ERA was 4.533 and the standard deviation was 0.539.

As, we know that the z-score is calculated by the following formula;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean

$\sigma$ = standard deviation

Now, firstly we will calculate the z score for Thomas;

z-score = $\frac{X-\mu}{\sigma}$

= $\frac{3.31-4.837}{0.541}$ = -2.823

{Here, the mean ERA for the males was 4.837 and the standard deviation was 0.541}

Similarly, we will calculate the z score for Karla;

z-score = $\frac{X-\mu}{\sigma}$

= $\frac{3.02-4.533}{0.539}$ = -2.807

{Here, the mean ERA for the females was 4.533 and the standard deviation was 0.539}

Now, it is stated in the question that the lower the ERA, the better the pitcher.

So, we can clearly see that Thomas had a lower ERA of z-score as -2.823 < -2.807. This means that Thomas had the better year relative to their peers.

5 0

3 years ago