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Dima020 [189]
3 years ago
14

Giulio's bag of marbles is twice as heavy as jim's. If it takes 5 extra marbles to make jim's bag feel heavier, it will take 10

extra marbles to make giulio's bag feel heavier. This best illustrates:
Mathematics
1 answer:
andreev551 [17]3 years ago
7 0

      Current Weight         Weight after adding Marbles

Giulio:    2x                          2x + 10                    

Jim:         x                             x + 5

You didn't post the options so hopefully you can determine the answer based on the info I provided above.

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Any help with an explanation would be appreciated!
Lilit [14]

Problem 1

We'll use the product rule to say

h(x) = f(x)*g(x)

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

Then plug in x = 2 and use the table to fill in the rest

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

h ' (2) = f ' (2)*g(2) + f(2)*g ' (2)

h ' (2) = 2*3 + 2*4

h ' (2) = 6 + 8

h ' (2) = 14

<h3>Answer: 14</h3>

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

Problem 2

Now we'll use the quotient rule

h(x) = \frac{f(x)}{g(x)}\\\\h'(x) = \frac{f'(x)*g(x)-f(x)*g'(x)}{(g(x))^2}\\\\h'(2) = \frac{f'(2)*g(2)-f(2)*g'(2)}{(g(2))^2}\\\\h'(2) = \frac{2*3-2*4}{(3)^2}\\\\h'(2) = \frac{6-8}{9}\\\\h'(2) = -\frac{2}{9}\\\\

<h3>Answer:  -2/9</h3>

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

Problem 3

Use the chain rule

h(x) = f(g(x))\\\\h'(x) = f'(g(x))*g'(x)\\\\h'(2) = f'(g(2))*g'(2)\\\\h'(2) = f'(3)*g'(2)\\\\h'(2) = 3*4\\\\h'(2) = 12\\\\

<h3>Answer:  12</h3>
5 0
3 years ago
A student said that since -9 is less than 4, then |-9| is less than |4|. Is the student correct? Explain why or why not.
IRISSAK [1]
No, that is not true. The absolute value is the distance a number is from zero. The distance of -9 to 0 is 9. 9 is not less than 4.
4 0
3 years ago
Read 2 more answers
The gift shop is having a sale. your friend sells half her stock of keyrings every hour. she has 24 boxes at the start of the sa
Bingel [31]

To solve for the given problem above:

Let x be the number of boxes left after 3 hours

3 * ½ X = 24

3/2 X = 24

X = 24 * 2/3

X = 16

The correct answer is 16.

3 0
3 years ago
Read 2 more answers
HELP...here say:write five decimals that have at least 3 digits to the right of the decimal point.Write the expanded form and th
just olya [345]
27÷9=3
1+2=3
1×3=3
10-7=3
27-24=3
8 0
3 years ago
Find the surface area of a cubical planter<br> measuring 30 inches on a side.
Snezhnost [94]

30 x 30 = 900

This is the surface area of one side

900 x 6

Multiply by 6 to get the surface area of all 6 sides of the cube

900 x 6 = 5400

3 0
3 years ago
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