Answer:
-11
Step-by-step explanation:
4x -y
Substitute x and y
4( -2 ) - 3
Simplify
-8 -3
Subtract
-11
Answer:
The slope is $0.35/min and it gives the cost per minute of the phone used.
Step-by-step explanation:
We can model this situation with a linear equation of the form

where
is monthly cost,
is the number of minutes,
is the flat monthly fee, and
is the slope of the equation, or in our case, the amount of money charged per minute.
The slope
is

,
in other words, the phone company charges $0.5 per minute.
With the slope in hand, the linear equation becomes
,
and we can find the monthly fee
from that fact that for 300 minutes the cost is $131:

.
Therefore,

where the slope if the equation give the cost per minute of the phone used.
<h3>Answer: B) 31.348</h3>
======================================
Work Shown:
We will never use the alpha = 0.05 value when computing the test statistic. So we can ignore alpha for this particular problem.
-------
n = 40 is the sample size.
s = 2.6 is the sample standard deviation
= sigma = 2.9 is the population standard deviation (ie the claimed standard deviation for all the pay phones)
Test Statistic for chi-square

Use substitution
3x = 2(-6x + 18) + 14
3x = -12x + 36 + 14
3x = -12x + 50
15x = 50, x = 50/15 = 10/3
Solution: x = 10/3
Answer:
The answer to your question is only the second and the third are factors.
Step-by-step explanation:
Find the factors of 24x⁶ − 1029y³
First find the prime factors of 24 and 1029
24 2 1029 3
12 2 343 7 Then 24 = 2³3
6 2 49 7 1029 = 7³ 3
3 3 7 7
1 1
x⁶ = (x²)³ y³ = y³
Then
2³3(x²)³ - 7³ 3 y³
Factor 3 3[ 2³(x²)³ - 7³ y³]
Factor 3 [ (2x² - 7y)(4x⁴ + 14x²y + 49y²)]
Then
24
2x2 + 7y
4x4 + 14x2y + 49y2
All of the above