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2 years ago

What is an equation of the line that passes through the points (-8, 2) and (-4, -3)?

Mathematics

1 answer:

Alexus [3.1K]2 years ago

4 0

Answer:

y = -5/4x - 8

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (-3 - 2)/(-4 - -8) = -5/4

Given (-8,2)

y = mx + b

2 = -5/4(-8) + b

2 = 10 + b

b = -8

y = -5/4x - 8

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Find any values of x that must be excluded from the domain. This part really confuses me.

gregori [183]

The only restriction on the domain is that division by zero is undefined, or "not allowed", so x cannot equal zero.

So the domain is x=(-oo,0),(0,+oo)

3 0

3 years ago

Read 2 more answers

Please help me!! Thanks !!

IRINA_888 [86]

C. is the answer.
They are automatically paying the $128 to get in the door.
We don't know how many of each item they are getting, but we do know what each item costs. If they get 2 of anything, then the price would be multiplied by 2, etc.
So, multiplying the prices of the items by their unknown numbers x, y, z makes sense. But after those figures are discovered, they all have to be added together so that they know how much money they are spending in total.
If you were to plug in random numbers for the variables x, y, and z and solve the equation, the one written in C. would return an accurate value representing the family's total spend.

6 0

3 years ago

The mean waiting time at the drive-through of a fast-food restaurant from the time the food is ordered to when it is received is

alexira [117]

Answer:

a) And if we replace we got: $\bar X= 78$

$s = 15.391$

b) $78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

Step-by-step explanation:

Dataset given: 109 67 58 76 65 80 96 86 71 72

Part a

For this case we can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got: $\bar X= 78$

And the deviation is given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 15.391$

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that $t_{\alpha/2}=3.25$