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Dmitry_Shevchenko [17]
3 years ago
11

Find f. Determine it from the choices below.

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

Answer:

10√2 miles.

Step-by-step explanation:

this is a special 45°-45°-90° triangle. if the two sides are x, then the hypotenuse (f) would be x√2.

since in this case, the other two sides are 10mi, the hypotenuse (f) would be 10√2 miles.

(sorry my explanation is terrible)

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Four friends want to take a vacation together, so each one gets a part-time job. Each person has 8 weeks to save $720 for the va
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You can use the fact that summing something P times is equal to multiplying that thing with P.

Those who could save the needed amount were:

Option A: A and C

<h3>How to add something P times?</h3>

Let you have to add a value y p times. Then you write it as:

y + y + ...  + y \text{\: (P times)}\\= y \times P

<h3>How to calculate how much each friend earned?</h3>

checking total money each friend earned:

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Since in 1 week, A works 13 hour, thus, in 8 weeks, he works

13 \times 8 = 184 \: \rm hours

Each hour he earns $6.95, thus, for 184 hours, he will earn

6.95 + 6.95 + ... + 6.95 \text{\:(184 times)}\\= 6.95 \times 184 = \$1278.8

Similarly,

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B earned 15 \times 8 \times 5.85 = \$702

  • Friend C: worked 18 hours per work at $5.25/hour rate

B earned 18 \times 8 \times 5.25 = \$756

  • Friend D: worked 11 hours per work at $7.80/hour rate

B earned 11 \times 8 \times 7.8 = \$686.4

Only friend A and friend C could earn more than or equal to $750

Thus,

Those who could save the needed amount were:

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Learn more about multiplication here:

brainly.com/question/520497

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That means at x = 2, x = 3 and at x = 5 the function f(x) will become zero.

Therefore, (x - 2), (x - 3) and (x - 5) are the factors of the function f(x).

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Now, we have to simplify the right hand side of the equation (1).

Hence, f(x) = (x - 2)(x² - 8x + 15)

⇒ f(x) = x³ - 8x² + 15x - 2x² + 16x - 30

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