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harkovskaia [24]
2 years ago
9

Write a linear equation representing the information shown in the table.

Mathematics
1 answer:
Law Incorporation [45]2 years ago
8 0

Answer:

A

Step-by-step explanation:

This is how I write

y=kx+m

but I have seen some write it like this:

y=mx+b

Well both of them are the same thing, I'll use the first one because I'm more comfortable with it.

y=kx+m

To find out what k

k =  \frac{y2 - y1}{x2 - x1}

So you first need to choose two points.

I'll go for (0,-5) and (2,0)

k =  \frac{0 - 5}{2 - 0}

k = \frac{ - 5}{2}

Now you could insert k into the equation and it will look like this.

y =  \frac{ - 5}{2}x + m

To find out what m is just pick one point and insert it into the equation. So if I pick (0,-5). 0=X therefore it should be replaced by x and -5=y therefore it should also be replaced by y.

- 5 =  \frac{ - 5}{2} \times 0 + m

m=-5

Try it with another point to see if you get the same answer. this time I'll pick (-6,10)

10=  \frac{ - 5}{2} \times( - 6)+ m

m= -5

The equation will be y=-5/2x-5)

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Graph a line that contains the point -6,1 and has a slope of 5
Stells [14]

Answer:

y=5x+31

Step-by-step explanation:

y=mx+b

1=(-6*5)+b

1=-30+b

31=b

y=5x+31

(5*-6)+31

-30+31

1

you can also graph a line on desmos

7 0
3 years ago
Read 2 more answers
Rosana construindo um galinheiro no fundo de sua residencia utilizou 4 galoes para o transporte do material. Um dos galoes era f
LiRa [457]
Question: Rosana building a chicken coop at the bottom of your residencia used 4 gallons for the transport of the material. One of gallons was fragile and not make it. What gallon not stand it?                                                                   (a) the water
(b) the mass of c the brita
(d) the sand                                                                                                            Answer: B) the mass of c the brita 
7 0
2 years ago
A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data fro
daser333 [38]

Answer:

a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.

This means that n = 1664, \pi = \frac{939}{1664} = 0.5643

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588

The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?

Yes, because the confidence interval is entirely above 0.5.

Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

8 0
2 years ago
if i measure a hypotenuse and i get 11 and then i double check my work by doing the a squared + b squared = c squared method and
RoseWind [281]
Hi there!

Sometimes, like you said, you might don't get the exact answer when you justified your answer. In this case, you need to take the nearest number. So if you got 11 then 12 is the nearest number, just go for it.

Or go back and start over and see if you didn't miss anything.


I hope this helps!
5 0
3 years ago
Evaluate the following expression. 6^-1
Ugo [173]
Do you mean 1/6 as the evaluation?
8 0
3 years ago
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