1) slope=3 and y-int.=-5
2) slope=2 and y-int.=-6
3) slope=-6 and y-int.=1/2
4) slope=-7 and y-int.=5/2
5) slope=1/2 and y-int.=7
6) slope=3/4 and y-int.=8
7) slope=-2/3 and y-int.=-1/3
8) slope=-1/8 and y-int.=-3/8
9) slope=2/3 and y-int.=5
10) slope=-2/7 and y-int.=-1
11) slope=-3 and y-int.=6
12) slope=4 and y-int.=7
Hope this helps!
Answer:
(a)
or 
(b)
or
Step-by-step explanation:
Given
--- North Dakota
--- Cheyenne, Wyoming
Solving (a): Inequality to compare both temperatures
From the given temperatures, we can conclude that:
or 
Because
i.e. 1 is greater than -2
or
i.e. -2 is less than 1
Solving (b): Inequality to compare the absolute values of the temperatures
We have:


The absolute values are:




By comparison:
or 
Because
i.e. 2 is greater than 1
or
i.e. 1 is less than 2
F(x) = 8 - 10x
g(x) = 5x + 4
Finding (fg)(-2).
First let us find fg(x), this is the same as f(g(x))
f(g(x))
f(5x + 4)
Recall, f(x) = 8 - 10x, therefore f(5x + 4) would be such that anywhere we see x in the f(x), we replace it with 5x + 4
f(x) = 8 - 10x
f(5x +4) = 8 - 10(5x + 4)
= 8 - 50x - 40
= -50x + 8 - 40
= -50x - 32
f(g(x)) = fg(x) = -50x - 32
fg(-2) = -50*(-2) - 32 = 100 - 32 = 68
Therefore fg(-2) = 68
I hope this helped.
Answer: 1436 units cubed (3.14) or 1437 units cubed (π)
Step-by-step explanation:
answer depends on if you substitute in 3.14 for π or not