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2 years ago

Write an equation of the line in slope-intercept form that passes through the point (3, 8) with slope 4?

1 answer:

8 0

Slope intercept form:
Y = mx + b
m = slope, b = y intercept
Given the slope of 4
Y = 4x + b
Plug in the point (3,8)
8 = 4(3) + b
8 = 12 + b, b = -4
Y intercept = -4

Solution: y = 4x - 4

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Which statement is true? Select all that apply.

GarryVolchara [31]

Answer:

A. The relationship is proportional.

C. The slope is negative.

✓ A. The relationship is proportional.

-> We have a one to one proportion because the relationship is linear

✗ B. The slope is –6.

-> The slope is -3/2, not -3

-> We can pick a point, and then we count down 3 and over 2 to the next point

✓ C. The slope is negative.

-> Because the line is going from top left to bottom right the line is negative

✗ D. The y-intercept is –3.

-> The slope is -3/2, not -3

-> We can pick a point, and then we count down 3 and over 2 to the next point

✗ E. The equation of the line is y = –3x.

-> Again, the slope should be -3/2, not -3

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0

2 years ago

X + 16 = 25 What is the value of x?

Paraphin [41]

Answer:

x = 9

Step-by-step explanation:

Isolate x first by moving 16 to the other side

x = 25 - 16

x = 9

5 0

3 years ago

A sample of 10 adult elephants had an average weight of 12,556 pounds. The standard deviation

kirill [66]

Answer:

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 3.25

The margin of error is:

M = T*s = 3.25*25 = 81

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12,556 - 81 = 12,475 pounds

The upper end of the interval is the sample mean added to M. So it is 12,556 + 81 = 12,637 pounds.

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

6 0

3 years ago

In each reaction box, place the best reagent and conditions from the list below.

zloy xaker [14]

I thin the best answer among the following choices base on the data you have given and the formulas, to be honest I didn't really understand the instructions but in your diagram, this is just my suggestion but no an answer, the value of #1 2nd option from the left of the first line and the #2 is the last choice from the first line. I hope this would help

3 0

3 years ago

An architect is making a floor plan for an apartment. The floor plan will include a Great Room with a length of 30 feet and a wi

RoseWind [281]

Answer:

5 inches

Step-by-step explanation:

we know that

The scale drawing is

$\frac{1}{4}\ in : 1\ ft$

using proportion find out the width of the great room on her plan

$\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{20}\ \frac{in}{ft}\\\\x=20(1/4)\\\\x=5\ in$

4 0

3 years ago