Mathematics College

Find
h ′(2), given that f(2) = −3, g(2) = 4, f ′(2) = −2,and g ′(2) = 5.

I only need help with part d (picture attached)

Find H(2), Given That F(2) = 3, G(2) = 4, F(2) = 2,and G(2) = 5.I Only Need Help With Part D (picture

Answers

Answer 1

Answer: [tex]-\frac{1}{2}[/tex]

=========================================================

Work Shown:

Apply the quotient rule

[tex]h(x) = \frac{g(x)}{1+f(x)}\\\\h(x) = \frac{A}{B}\\\\h'(x) = \frac{A'*B-A*B'}{B^2}\\\\h'(x) = \frac{g'(x)*(1+f(x))-g(x)*(1+f(x))'}{(1+f(x))^2}\\\\h'(x) = \frac{g'(x)*(1+f(x))-g(x)*f'(x)}{(1+f(x))^2}\\\\h'(2) = \frac{g'(2)*(1+f(2))-g(2)*f'(2)}{(1+f(2))^2}\\\\h'(2) = \frac{5*(1-3)-4*(-2)}{(1-3)^2}\\\\h'(2) = \frac{-2}{4}\\\\h'(2) = -\frac{1}{2}\\\\[/tex]

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Step-by-step explanation:

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answer for A is:

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[tex]~~~~~~ \textit{Simple Interest Earned}\\\\I = Prt\qquad\begin{cases}I=\textit{interest earned}\\P=\textit{original amount deposited}\dotfill & \$500\\r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\t=years\dotfill &2\end{cases}\\\\\\I = (500)(0.04)(2)\implies \boxed{I = 40}[/tex]

•••••••••••••••••
Solve for F
Fg=5
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Answers

Answer:

F = 5/g

Step-by-step explanation:

We can divide both sides by g because F is being multiplied by g. Therefore, F = 5/g.

F(g)=5
Divide each side by G
F = g/5 (g over 5)

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Answers

[a] See attached

  - Her chance of making it is 1/3, 1 - 1/3 = 2/3, so her chance of missing is 2/3

[b] 1/2 or one half

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  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

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Answer:

n = 4

Step-by-step explanation:

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---------------- check

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Answers

Answer:

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Step-by-step explanation:

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Answer:

1) Subtract x on both sides to get

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2) Subtract x on both sides to get -3y = -x + 12, then divide by -3 on both sides to get y = 1/3 x - 4

3) Subtract 5x on both sides to get 2y = -5x + 10, then divide by 2 on both sides to get

y = -5/2 x + 5

4) If I'm not mistaken, y = 6x + 1/3 is already in slope-intercept form (y=mx+b).

5)

[tex]y = \frac{1}{x} x - 15[/tex]

This is also in slope-intercept form⤴⤴⤴ It's just going to have a slope of 0, meaning it will be a horizontal line that passes through the y-axis at -15.

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Answers

Answer:

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Step-by-step explanation:

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The percent change is approximately 66%

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66% is the approximate percentage change

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

The equation that shows the relationship between the number of round trips, x and the number of kilometers, y Scott walked is y = 3x

Each round trip = 3 km

x = number of rounds

y = number of km he has walked in all.

1 rounds  = 3 km

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