Remember that the general equation of a line is

, where:

is the slope, and

is the y-intercept; so to find the y-intercept, solve for

and identify

.
Now, to find the x-intercept, just replace

in your line equation with

, and solve for

Lets apply those procedures to our two questions:
1. - y-intercept:




Notice that now we have our line equation in the form

with

and

; sine

is the y-intercept, we can conclude that the y-intercept of our equation is 8.
x-intercept:
First, lets replace

with

:

And then, we can solve for

to find our x-intercept:



We can conclude that our x-intercept is -4; thus the correct answer in your list is the fourth one:
x-intercept is -4; y-intercept is 8.
2. y-intercept:




We can conclude that our y-intercept is 20.
x-intercept:




We can conclude that our x-intercept is 16; thus the correct answer in your list is, once again, the fourth one:
x-intercept is 16; y-intercept is 20.
Answer:

Step-by-step explanation:
The area of a rectangle formula is length times width.
The length of this rectangle is
, and the width of this rectangle is 
Thus, the area of the rectangle is
. This can be expanded using FOIL.
First 
Outer 
Inner 
Last 
The two x terms combine, making 8x, and the answer is 
Answer: The speed of the truck is 30 mph.
The speed of the car is 50 mph.
Step-by-step explanation:
Let x represent the speed of the car. If the trucks rate is 20 miles per hour slower than the car's, it means that the speed of the truck is
(x - 20) miles per hour.
Time = distance/speed
The truck can travel 210 miles in the same time it takes the car to travel 350 miles. It means that the time it would take the truck to travel 210 miles is
210/(x - 20)
Also, the time it would take the car to travel 350 miles is
350/x
Since the time is the same, it means that
210/(x - 20) = 350/x
Cross multiplying, it becomes
350(x - 20) = 210x
350x - 7000 = 210x
350x - 210x = 7000
140x = 7000
x = 7000/140
x = 50
The speed of the truck is
x - 20 = 50 - 20 = 30 mph
Given:
n = 150, sample size
Denote the sample proportion by q (normally written as

).
That is,
q = 60/150 = 0.4, sample proportion.
At the 96% confidence level, the z* multiplier is about 2.082, and the confidence interval for the population proportion is
![q \pm z^{*}[ \frac{q(1-q)}{ \sqrt{n} } ]](https://tex.z-dn.net/?f=q%20%5Cpm%20z%5E%7B%2A%7D%5B%20%5Cfrac%7Bq%281-q%29%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%5D)
That is,
0.4 +/- 2.082* √[(0.4*0.6)/150]
= 0.4 +/- 0.0833
= (0.3167, 0.4833)
= (31.7%, 48.3%)
Answer: The 96% confidence interval is about (32% to 48%)