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noname [10]
2 years ago
9

Please help I will give you a brainliest

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
4 0
Look at the picture attached

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Evaluate the expression
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\frac{16^{6/4}}{16^{2/2} }

\frac{64}{16}

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If 5/8 is multiplied by 4/5 will the product be greater than the two factors? Explain.
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Answer:

Step-by-step explanation:

4/5 is less than 1, so multiplying 5/8 by 4/5 results in a product smaller than the two factors.

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How to solve - 10+5x=7x-4
Triss [41]
10+5x=7x-4
1. simplify 7x - 5x
10=2x-4

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10+4=2x
+ 4 4
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8 0
3 years ago
Prove 2√(x) + 1/√(x + 1) <= 2√(x+1) for all x in [0,inf)
EleoNora [17]
Start by multiplying each side of the inequality by \sqrt{x + 1} and simplifying:

2 \sqrt x + \frac{1}{\sqrt{x+1}}  \leq  2 \sqrt{x + 1}
(2 \sqrt x + \frac{1}{\sqrt{x+1}})(\sqrt{x + 1}) \leq (2 \sqrt{x + 1})(\sqrt{x + 1})
2 \sqrt{x(x + 1)} + 1 \leq 2(x + 1)
2 \sqrt{x^2 + x} + 1 \leq 2x + 2
2 \sqrt{x^2 + x} \leq 2x + 1
\sqrt{x^2 + x} \leq x + \frac{1}{2}

From here, we can square both sides to get

x^2 + x \leq (x + \frac{1}{2})^2
x^2 + x \leq x^2 + x + \frac{1}{4}
0  \leq \frac{1}{4}, which is always true.
3 0
2 years ago
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