Answer:
www.mahtpapa.com
Step-by-step explanation:
Answer: 109/1000
.109 can not be reduced, so we must put it in a fraction with 1,000.
So, the fraction would be 109/1000, because we need a denominator as 1,000.
The answer = 109/1000
Answer:
g(x)=3
Step-by-step explanation:
Let's find the answer.
W(f,g)=3e^x which can be written as:
W(f,g)=(3)*(e^x), notice that:
(e^x)=f(x) so:
W(f,g)=3*f(x), establishing:
W(f,g)=g(x)*f(x) then:
g(x)=3
In conclusion, g(x)=3.
Answer:
Yes. g⁻¹(x) = f(x).
Step-by-step explanation:
Let y = ∛x - 1.
Rearrange to solve for x:
y+1 = ∛x
(y+1)³ = x
Swap x and y:
(x+3)³ = y
g⁻¹(x) = (x+3)³ = f(x)
Answer:
8 and 12
Step-by-step explanation:
The perimeter of the given rectangle is ...
P = 2(L +W)
P = 2(14 +21) = 2(35) = 70
The scale factor to the similar triangle is ...
similar perimeter/original perimeter = 40/70 = 4/7
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The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:
(14)(4/7) = 8
(21)(4/7) = 12
The sides of the similar triangle are 8 and 12.
