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koban [17]
3 years ago
8

A teacher has 24 pencils they are divided equally among 3 students how many pencils does each student get

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Each of the students gets 8 pencils

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(a) Use a linear approximation to estimate f(0.9) and f(1.1). f(0.9) ≈ f(1.1) ≈ (b) Are your estimates in part (a) too large or
olasank [31]

Answer:

(Missing part of the question is attached)

L(x)=2x+3

Estimates are too large.

Step-by-step explanation:

Suppose the only information we know about the function is:

f(1)=5

where the graph of its derivative is shown in the attachment

<h3>(a)</h3>

If the function f\\ is differentiable at point x=1 , the tangent line to the graph of f at 1 is given by the equation:

y=f(1) +f'(1)(x-1)

So we call the linear function:

L(x)=f(1) +f'(1)(x-1)

We know the f(1)=5 as it is given in the question, and f'(1)=2 from the graph attached. Substitute in the equation of L(x).

L(x)=5+2(x-1)\\L(x)=5+2x-2\\L(x)=2x+3\\

<h3>(b)</h3>

At x=1,  f'(x) is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve f. Thus, The estimates are too large.

4 0
3 years ago
A tree is 58 inches tall. how tall is it in feet and inches
mart [117]
A foot is 12 inches.
12 can go into 58 evenly 4 times, since 12• 4 equals 48 but 12 • 5 equals 60. This means that the tree is at least 4 feet. Then to find the leftover inches we do 58-48 equals 10, therefore the answer is 58 inches translates to 4 feet and 10 inches.
8 0
3 years ago
Sharon needs 64 credits to graduate from her community college. So far she has earned 56 credits. What percent of the required c
Anit [1.1K]
Sharon has a percentage of 56/64*100= 87.5%
3 0
3 years ago
Read 2 more answers
One card is drawn from a well shuffled deck of 52 cards find the probability of getting a red 10
Julli [10]
The probability of getting a red card is 1/2 and the probability of getting a 10 is 4/52. To find the probability of getting both a red card and a 10, multiply the two.

(1/2)(4/52) = 4/104
4/104 = 1/26

Therefore, the probability is 1/26
7 0
3 years ago
Find three different ratios that are equivalent to ratio 3 : 11
Mnenie [13.5K]

Answer:

6:22

9:33

12:44

Step-by-step explanation:

Giben ratio 3:11

Multiplying by 2,

6:22

Multiplying by 3

9:33

Multiplying by 4

12:44

4 0
3 years ago
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