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Vika [28.1K]
2 years ago
15

If f(x) = 1/2x^2 - (1/4x +3), what is the value of f(8)?

Mathematics
2 answers:
Mekhanik [1.2K]2 years ago
4 0

Answer:

9

Step-by-step explanation:

noname [10]2 years ago
4 0

Answer:

27

Step-by-step explanation:

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Rachel runs 4 miles in 23 minutes. How many miles does she run per minute?​
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Answer:

To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.

Step-by-step explanation:

Use the current problem to determine a rate.

23 minutes/4 miles

Now, set up a unit rate.

1 minute/<em>x </em>miles = 23 minutes/4 miles

To solve for <em>x, </em>we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.

4/23 = 0.1739130434782609

Finally, simplify your answer to receive 0.17.

Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)

8 0
2 years ago
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on t
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Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

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To find the minimum unit cost :

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dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

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