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Mumz [18]
3 years ago
6

What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10) ? Enter your answers in the box

es.

Mathematics
2 answers:
ehidna [41]3 years ago
7 0

Answer: y+2=3(x+1)

so the first box you would put 2 and then the second box you would put 3!

RideAnS [48]3 years ago
5 0

There are two ways to equate a straight line. We first have y=mx+b. Then, we have (y-y₁)=m(x-x₁). Both work fine and have similar variables, but the numbers are mixed around a bit. Your equation clearly shows the second form of equation. As our equation has x-x₁ on the right, we can notice that x+1 must mimic that, so x+1=(x-x₁). As x-(-1)=x+1, we can only assume that x is -1. Looking at the points given to us, y must be -2, so we have y-(-2)=y+2, so 2 fills in the leftmost open box. To find the slope, or m, we must take

\frac{(y_{1} -y_{2})}{(x_{1} -x_{2})} from points (x₁, y₁) and (x₂, y₂). It doesn't matter which point is (x₁, y₁) , but it matters that the y₁ corresponds to the x₁. Thus, we have our slope as \frac{-2-10}{-1-3} =\frac{-12}{-4} =3


Feel free to ask further questions, and Happy Halloween!


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5 0
3 years ago
Read 2 more answers
In assessing the validity of any test of hypotheses, it is good practice to a. examine the probability model that serves as a ba
ehidna [41]

Answer:

The Correct option is - d. all of the above.

Step-by-step explanation:

To find - In assessing the validity of any test of hypotheses, it is good practice to

a. examine the probability model that serves as a basis for the test by using exploratory data analysis on the data.

b. determine exactly how the study was conducted.

c. determine what assumptions the researchers made.

d. all of the above.

Proof -

All the Given options are correct to study the validity of a hypothesis test.

So,

The Correct option is - d. all of the above.

4 0
3 years ago
A meteorologist is studying the speed at which thunderstorms travel. A sample of 10 storms are observed. The mean of the sample
dezoksy [38]

Answer:

The 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

Step-by-step explanation:

Given information:

Sample size = 10

Sample mean = 12.2 mph

Standard deviation = 2.4

Confidence interval = 95%

At confidence interval 95% then z-score is 1.96.

The 95% confidence interval for the true mean speed of thunderstorms is

CI=\overline{x}\pm z*\frac{s}{\sqrt{n}}

Where, \overline{x} is sample mean, z* is z score at 95% confidence interval, s is standard deviation of sample and n is sample size.

CI=12.2\pm 1.96\frac{2.4}{\sqrt{10}}

CI=12.2\pm 1.487535

CI=12.2\pm 1.488

CI=[12.2-1.488, 12.2+1.488]

CI=[10.712, 13.688]

Therefore the 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

4 0
3 years ago
Solve 15 3/4 ÷ 2 5/8 × 5 5/6 ÷ 8 2/5​
fenix001 [56]

Answer:

4 1/6

Step-by-step explanation:

15 3/4 ÷ 2 5/8 × 5 5/6 ÷ 8 2/5

assuming this order of operations:

(15 3/4 ÷ 2 5/8) × (5 5/6 ÷ 8 2/5)

63/4 x 8/21 = 505/84 = 6

35/6 x 5/42 = 175/252

6 x 175/252 = 1050/252 = 4 42/252 = 4 1/6

8 0
3 years ago
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Serhud [2]

2×2 then -3

I hope this can help

4 0
3 years ago
Read 2 more answers
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