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3 years ago

Evaluate the expression show work. (4²- 8³)²+2³ (Will receive 50 points)

Mathematics

1 answer:

Schach [20]3 years ago

5 0

(4²-8³)²+2³ (16-512)²+2³ 496²+2³ 246,016+8 =246,024

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Trig help please

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The answer must be C

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4 years ago

A rectangle has an area 105 in2 and a length of 7 inches. What is the length?

QveST [7]

Answer:

Width is 15in

Step-by-step explanation:

Area=lengthxwidth

105=7w

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3 years ago

Annette is surveying people in the city about their interest in a new shopping mall. She found that 180 people, or 37.5% of thos

zmey [24]

She surveyed 67 or 68 people

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4 years ago

Read 2 more answers

If f(x) = square root of x+3, what is the equation for f–1(x)? f–1(x) = x2 - 3 f–1(x) = x2 + 3 f–1(x) = (x - 3) 2 f–1(x) = (x +

cupoosta [38]

Answer:

$\Large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }$

Step-by-step explanation:

Hello,

$\text{For }x+3\geq 0\\\\f(x)=\sqrt{x+3}\\\\x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)+3}\\\\\text{*** take the square ***}\\\\f^{-1}(x)+3=x^2\\\\\text{*** subtract 3 from both sides ***}\\\\\large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }\\$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0

3 years ago

Help!!!!!!!!!!!!!!!!

kaheart [24]

Answer:

$\cos\alpha\sin\alpha(\cos\alpha-\sin\alpha)$

Step-by-step explanation:

First, simplify each term:

$\sin\left(\dfrac{\pi}{2}+\alpha\right)=\cos \alpha\\ \\\cos \left(\dfrac{\pi}{2}+\alpha\right)=-\sin \alpha\\ \\\cos \left(\alpha-\dfrac{3\pi}{2}\right)=-\sin \alpha\\ \\\sin \left(\dfrac{3\pi}{2}+\alpha\right)=-\cos \alpha$

Then given expression is equivalent to

$\cos ^3\alpha+(-\sin \alpha)^3-(-\sin \alpha)+(-\cos \alpha)\\ \\=\cos ^3\alpha-\sin^3 \alpha+\sin \alpha-\cos \alpha\\ \\=(\cos\alpha-\sin\alpha)(\cos^2\alpha+\cos\alpha\sin\alpha+\sin^2\alpha)-(\cos\alpha-\sin\alpha)\\ \\=(\cos\alpha-\sin\alpha)(1+\cos\alpha\sin\alpha-1)\ \ [\cos^2\alpha+\sin^2\alpha=1]\\ \\=\cos\alpha\sin\alpha(\cos\alpha-\sin\alpha)$

6 0

3 years ago