Help please!!!! 10 points

HELP 50 POINTS need this so my mom doesn't yell at me

Citrus2011 [14]

Answer:

1. so (1,-10) passes both equations

2. The dotted line is the line y > -x+3 and the solid line is y ≤ 2x -2

3. The solid line is the line y≤ -x+2 and the other solid line is y ≤ -3x +2

Step-by-step explanation:

y≤x-5

y≤-x-4

Substitute the points in and see if they work

(1,10)

10 ≤1-5 10 ≤-4 False

10 ≤-1-4 10 ≤-5 False

so (1,10) Fails both equations

(-1,10)

10 ≤-1-5 10 ≤-6 False

10 ≤1-4 10 ≤-3 False

so (-1,10) Fails both equations

(10,1)

1 ≤10-5 1 ≤5 True

1 ≤-10-4 1 ≤-14 False

so (10,1) Fails one equations

(1,-10)

-10 ≤1-5 -10 ≤-4 True

-10 ≤-1-4 -10 ≤-5 True

so (1,-10) passes both equations

2. The dotted line is the line y > -x+3 and the solid line is y ≤ 2x -2

The dotted line means less than or greater than. It is shaded above so it is greater than. The y intercept is 3. The slope is down 1 to the right one (-1/1) y> -x+3

The solid line means greater than or equal to or less than or equal to. Since it is shaded below it means less than or equal to. The y intercept is -2. The slope is up 2 to the right one (2/1) y≥ 2x-2

3. The solid line is the line y≤ -x+2 and the other solid line is y ≤ -3x +2

The solid line means greater than or equal to or less than or equal to. It is shaded below so it is less than or equal. The y intercept is 2. The slope is down 1 to the right one (-1/1) y≤ -x+2

The solid line means greater than or equal to or less than or equal to. Since it is shaded below it means less than or equal to. The y intercept is 2. The slope is down 3 to the right one (-3/1) y ≤ -3x +2

8 0

3 years ago

Read 2 more answers

What is the radius of a circle in which a 30° arc is 2π inches long?

son4ous [18]

First of all, let's recall that the full circumference is

$C = 2\pi r$

Now, since 30 is one twelfth of 360, a 30° arc will be one twelfth of the whole circumference. So, if you call the arc length A, you have

$A = \cfrac{C}{12} = \cfrac{2 \pi r}{12} = \cfrac{\pi r}{6}$

Since we know the arc length, we can build and solve the following equation:

$\cfrac{\pi r}{6} = 2\pi \iff \cfrac{r}{6} = 2 \iff r = 12$

8 0

4 years ago

Pleaseeee help!!! I will mark you as brainlinest for correct answer!!!!!

DaniilM [7]

A would be your answer
f(x) = 20 $( \frac{3}{5} ) ^{x}$

8 0

3 years ago

You travel 80 km in the first 1.00 hour of a trip, 50 km in the next 0.50 hours, and 40 km in the final 0.25 hours. Calculate yo

olchik [2.2K]

The average speed is the ratio between the distance covered, and the time elapsed to cover that distance.

The total distance is the sum of the three distances covered:

$d = 80km+50km+40km = 170km$

Similarly, the total time elapsed is

$1h + 0.5h + 0.25h = 1.75h$

So, althought you didn't always travelled with the same speed, you globally covered 170km in 1.75 hours. This leads to an average speed of

$\dfrac{170\text{km}}{1.75\text{h}} \approx 97.14 \dfrac{\text{km}}{\text{h}}$

4 0

3 years ago

The mean number of words per minute (WPM) read by sixth graders is 97 with a standard deviation of 19 WPM. If 75 sixth graders a

andrey2020 [161]

Answer:

0.0174 = 1.74% probability that the sample mean would be greater than 101.63 WPM

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ ;