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4 years ago

What is the DOMAIN of the function graphed below

Mathematics

1 answer:

Alchen [17]4 years ago

5 0

Answer:

-4<=x<infinity

Step-by-step explanation:

I believe I am right.

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The bottom of a ladder must be placed 2 1/2 feet from the wall. The ladder is 9 feet long How far above ground is the ladder tou

Gnoma [55]

Answer:

Step-by-step explanation:

$h=\sqrt{9^2-(\frac{5}{2} )^2}\\=\sqrt{81-\frac{25}{4} } \\=\sqrt{\frac{299}{4} } \\=\frac{\sqrt{299} }{2} \\\approx 8.6458\\\approx 8.65 ~ft$

7 0

3 years ago

Read 2 more answers

Solve -2(n + 5) + 6n = 14 for n.

Murrr4er [49]

Answer:

n=6

Step-by-step explanation:

Given -> -2(n+5)+6n=14

Distributive Property -> -2n-10+6n=14

Combine like terms -> 4n-10=14

Add 10 to both sides -> 4n=24

Divide both sides by 4 -> n=6

So n=6

6 0

4 years ago

Who can help me d e f thanks

12345 [234]

$y = (2ax^2 + c)^2 (bx^2 - cx)^{-1}$

Product rule:

$y' = \bigg((2ax^2+c)^2\bigg)' (bx^2-cx)^{-1} + (2ax^2+c)^2 \bigg((bx^2-cx)^{-1}\bigg)'$

Chain and power rules:

$y' = 2(2ax^2+c)\bigg(2ax^2+c\bigg)' (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} \bigg(bx^2-cx\bigg)'$

Power rule:

$y' = 2(2ax^2+c)(4ax) (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} (2bx - c)$

Now simplify.

$y' = \dfrac{8ax (2ax^2+c)}{bx^2 - cx} - \dfrac{(2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}$

$y' = \dfrac{8ax (2ax^2+c) (bx^2 - cx) - (2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}$

$y = \dfrac{3bx + ac}{\sqrt{ax}}$

Quotient rule:

$y' = \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{\left(\sqrt{ax}\right)^2}$

$y'= \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{ax}$

Power rule:

$y' = \dfrac{3b \sqrt{ax} - (3bx+ac) \left(-\frac12 \sqrt a \, x^{-1/2}\right)}{ax}$

Now simplify.

$y' = \dfrac{3b \sqrt a \, x^{1/2} + \frac{\sqrt a}2 (3bx+ac) x^{-1/2}}{ax}$

$y' = \dfrac{6bx + 3bx+ac}{2\sqrt a\, x^{3/2}}$

$y' = \dfrac{9bx+ac}{2\sqrt a\, x^{3/2}}$

$y = \sin^2(ax+b)$

Chain rule:

$y' = 2 \sin(ax+b) \bigg(\sin(ax+b)\bigg)'$

$y' = 2 \sin(ax+b) \cos(ax+b) \bigg(ax+b\bigg)'$

$y' = 2a \sin(ax+b) \cos(ax+b)$

We can further simplify this to

$y' = a \sin(2(ax+b))$

using the double angle identity for sine.

7 0

2 years ago

What happened at the end of the Constitutional Convention? (history)

Liono4ka [1.6K]

The answer is D:)
the reason why is because on September 17, 1787, the Constitution of the United States of America was signed by 38 of the 41 delegates present at the conclusion of the convention.

6 0

3 years ago

Read 2 more answers

Find the least positive angle measurement that is coterminal with -20degrees

allsm [11]

-20+360=340 degrees would be coterminal

5 0

3 years ago

Read 2 more answers