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sergiy2304 [10]
3 years ago
10

12(a−4) simplified I am confused with this question

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
8 0

Answer:

-48

Step-by-step explanation:

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A store is having a 10%-off sale. It gives an additional 20% off if the item is still above $100 after the first discount. A jac
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Find (f • g) (x) Assume x>0
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\textsf{B.} \quad (f \cdot g)(x)=10x

Step-by-step explanation:

Given:

\begin{cases}f(x)=\sqrt{50x}\\g(x)=\sqrt{2x}\end{cases}

\begin{aligned}\textsf{As }(f \cdot g)(x) & = f(x) \cdot g(x)\\\implies  (f \cdot g)(x)& = \sqrt{50x} \cdot \sqrt{2x}\end{aligned}

\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}:

\begin{aligned}\implies (f \cdot g)(x) &= \sqrt{50x2x}\\& = \sqrt{100x^2}\end{aligned}

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\implies (f \cdot g)(x)=\sqrt{10^2x^2}

\textsf{Apply exponent rule} \quad a^bc^b=(ac)^b:

\implies (f \cdot g)(x)= \sqrt{(10x)^2}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies (f \cdot g)(x)=10x

6 0
2 years ago
Tickets to Wrestlemania cost 600. the sales tax is 30% what is the final price
andrew-mc [135]

Answer:

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Step-by-step explanation:

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\dfrac{1}{4}+\dfrac{3}{8}=(*)\\Find\ LCD\ (Least\ Common\ Denominator)\\list\ the\ multiples\\of\ 4:\ \ 0;\ 4;\ \fbox8;\ 12;...\\of\ 8:\ \ 0;\ \fbox8;\ 16;\ 24;\ ...\\LCD\left(\dfrac{1}{4};\ \dfrac{3}{8}\right)=8\\\\(*)=\dfrac{1\cdot2}{4\cdot2}+\dfrac{3}{8}=\dfrac{2}{8}+\dfrac{3}{8}=\dfrac{2+3}{8}=\dfrac{5}{8}
4 0
4 years ago
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