Answer:
Step-by-step explanation:
1) Divide both sides by 2.
2) Simplify 4/2 to 2.
3) Add 4 to both sides.
4) Simplify 2 + 4 to 6.
5) Divide both sides by 2.
6) Simplify 6/2 to 3.
<em><u>therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>z</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>.</u></em>
Answer:
We conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
Step-by-step explanation:
Given
f(x) = 4x² - 1
g(x) = 1/2x + 5
h(x) = 2(x - 4)³
To determine
h(f(-1)) = ?
In order to determine h(f(-1)) first we need to determine f(-1).
substitute x = -1 in the function f(x) = 4x² - 1
f(-1) = 4(-1)² - 1
f(-1) = 4(1) - 1
f(-1) = 4-1
f(-1) = 3
so
h(f(-1)) = h(3)
now substitute h = 3 in the function h(x) = 2(x - 4)³
h(x) = 2(x - 4)³
h(3) = 2(3 - 4)³
h(3) = 2(-1)³
h(3) = 2(-1)
h(3) = -2
Thus,
h(f(-1)) = h(3) = -2
Hence, we conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
Answer:
B
Step-by-step explanation:
The circle has to be hallow in order for it to be greater than or less than. The arrow is going below 4 because the circle is on 4 and the arrow is pointing to the left side.
Answer:
Step-by-step explanation:
5x+14<4 or -2(x-8)<-2
-14 -14 -2x+16<-2
5x<-10 -16 -16
÷5 ÷5 -2x<-18
x<-2 ÷-2 ÷-2
x>9 (sign changes because you divide by a negative number)
x<-2 or x>9
3 boxes times 40 = 120 + 3 = 143
or 3 boxes times 43 = 129
