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evablogger [386]
3 years ago
8

What is f(7) for the rule of f(x)=-5x+10​

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

f(7) = - 25

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into f(x), that is

f(7) = - 5(7) + 10 = - 35 + 10 = - 25

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Write an algebraic expression for each word expression. Then evaluate the expression for these values of the variable : 1/2,4,an
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Answer:

1)p/4,2,1,1.625   2)x+1,3/2,5,7.5

Step-by-step explanation:

1) p/4

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2) x+1

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3 years ago
Candy bars are sold in a local store for 90 cents each. The factory has $1500 in fixed costs plus 10 cents of additional expense
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Step-by-step explanation:

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(8.02) An archaeological dig turns up large numbers of pottery shards, broken stone implements, and other artifacts. Students wo
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Answer:

The answer is "Population: All artifacts discovered in the dig. Sample: The selected 2% of the artifacts".

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3 years ago
Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the inter
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Answer:

0.20 and 0.36

Step-by-step explanation:

y(t) = 2 sin (4π t) + 5 cos (4π t)

We wish to convert this to:

y = A sin(ωt + φ)

We know that ω = 4π.  We also know the following:

5 = A sin φ

2 = A cos φ

Divide the first equation by the second equation:

5/2 = tan φ

φ = tan⁻¹(5/2)

Now, square the two equations and add them together.

5² + 2² = (A sin φ)² + (A cos φ)²

29 = A²

A = √29

The equation of the wave is therefore:

y = √29 sin(4π t + tan⁻¹(5/2))

The maximum negative position is -√29.  And half of that is -½√29.

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-½ = sin(4π t + tan⁻¹(5/2))

7π/6 + 2kπ or 11π/6 + 2kπ = 4π t + tan⁻¹(5/2)

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t = (7 + 12k − 6 tan⁻¹(5/2) / π) / 24 or (11 + 12k − 6 tan⁻¹(5/2) / π) / 24

Trying different integer values of k, we find there are two possible values for t between 0 and 0.5, both when k = 0.

t = (7 − 6 tan⁻¹(5/2) / π) / 24 or (11 − 6 tan⁻¹(5/2) / π) / 24

t ≈ 0.20 or 0.36

5 0
3 years ago
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