Answer:
Step-by-step explanation:
so we are looking for the x intercept (where the line crosses the x axis).
to do this, we sub in 0 for y and solve for x.
y = 1/2x + 4....sub in 0 for y
0 = 1/2x + 4
-1/2x = 4
x = 4 * -2
x = -8 <=== so it crosses the x axis at (-8,0)
Answer:
126 Sq unite
Step-by-step explanation:
I took the assignment
Answer:
1/12
Step-by-step explanation:
<u>Needed information</u>

The sum of the probabilities of all outcomes must equal 1
<u>Solution</u>
We are told that the probability that the counter is <em>not</em> black is 3/4.
As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>black by subtracting 3/4 from 1:


We are told that the probability that the counter is <em>not </em>white is 2/3.
As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>white by subtracting 2/3 from 1:


We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

11/7
..................................
Answer:
C. {-1, 5, 8}
Step-by-step explanation:
Use each of the domain values in the function to see what the corresponding range value is.
f(-1) = 5 -3(-1) = 8
f(0) = 5 -3(0) = 5
f(2) = 5 -3(2) = -1
The range is the set of numbers {-1, 5, 8}.
_____
<em>Additional comment</em>
The values in a set are generally listed lowest to highest. The coefficient of x in the equation for f(x) is negative, meaning the lowest range value will correspond to the highest domain value. If you start by finding f(2) = -1, you immediately eliminate all answer choices except B and C.
Those choices differ only in the middle value, so you can tell which is correct by evaluating f(x) for the middle domain value: f(0) = 5. Only one answer choice has both -1 and 5 in the set.
(There are two answers here: how you work the problem, and how you game a multiple choice question.)