3 years ago

HELP PLEASEEEE!!

Mathematics

1 answer:

Viefleur [7K]3 years ago

6 0

Answer:

Step-by-step explanation:

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If f'(0) = 5 and F(x) = f(3x), what is F'(0)?

Llana [10]

Answer:

$\displaystyle F'(0) = 15$

Step-by-step explanation:

We are given that:

$f'(0) = 5 \text{ and } F(x) = f(3x)$

And we want to find F'(0).

First, find F(x):

$\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]$

From the chain rule:

$\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}$

Then:

$\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}$

In conclusion, F'(0) = 15.

7 0

2 years ago

Read 2 more answers

What is the name of the property given below ? If ab = 0 then a = 0 , b = 0 or both a = 0 and b = 0 . A. Zero property B. Distri

FromTheMoon [43]

Answer:

c. zero product rule

Step-by-step explanation:

apex

3 0

3 years ago

Gaby deposited $200 in a savings account earning 4% simple interest over 7 years. What was the total interest Gaby earned?

Yuki888 [10]

I=prt. I= $200 X 4% X 7. I= 8 X 7. I= 56. Her total interest earned was $56 :)

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3 years ago

5. Maribel makes bead necklaces. She uses a

sleet_krkn [62]

Answer:

<u>A. 52 green beads; 39 yellow beads</u>

Step-by-step explanation:

See the attachment. If we take the ratios of 4, 2 , and 3, they add to 9. The

Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.

G: 52 Beads

B: 26 Beads

Y: 39 Beads

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2 years ago

Which is not true about the random sample method?

USPshnik [31]

B. The sample is likely to represent one portion of the population.

This is impossible to say because it's random.

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3 years ago