Answer:
The answer is 6z-28
Step-by-step explanation:
20 - 3[4(z+1) - 6(z-2)]
= 20 - 3(4z+4-6z+12)
= 20 - 3(16 - 2z)
= 20 - 48 + 6z
= 6z - 28
To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon. (which is the same as the number of sides). There are 108° in each interior angle of a regular pentagon. This process can be generalized into a formula for finding each interior angle of a REGULAR polygon ...
9514 1404 393
Answer:
1 < 15 -2a < 7
Step-by-step explanation:
There are a couple of ways you can do this.
1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:
15-2a for a=4:
15-2(4) = 7
15-2a for a=7:
15-2(7) = 1
Then ...
1 < 15-2a < 7
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2) Solve for a in terms of the value of 15-2a, then impose the limits on a.
x = 15 -2a
2a = 15 -x
a = (15 -x)/2
Now, impose the given limits:
4 < (15 -x)/2 < 7
8 < 15 -x < 14 . . . multiply by 2
-7 < -x < -1 . . . . . . subtract 15
7 > x > 1 . . . . . . . . multiply by -1
1 < 15-2a < 7 . . . . . use x=15-2a
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The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.
Paul surely charges 75 dollars, and then he adds 40 dollars per hours. This means that the expression for the money he asks is

where
is the amount of money and
is the number of hours.
Since
can be at most 8, this is the case that generates the highest money, so if we plug
we have

1, 5, 25, 125 is the correct way to sequence these numbers