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tangare [24]
3 years ago
7

Let the function f be defined as f(x)= 5x^2 - 7(4x+3). What is the value of f(3)

Mathematics
1 answer:
Katen [24]3 years ago
4 0

Answer:

f(x) = -60 is your answer

Step-by-step explanation:

Plug in 3 for x

f(x) = 5x² - 7(4x + 3)

f(x) = 5(3²) - 7(4(3) + 3)

Follow PEMDAS. First, solve the parenthesis

3² = 9

4(3) + 3 = 12 + 3 = 15

f(x) = 5(9) - 7(15)

Multiply

f(x) = 45 - 105

Simplify. Subtract

f(x) = 45 - 105

f(x) = -60

f(x) = -60 is your answer

~

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3 years ago
A newsletter publisher believes that above 78 % of their readers own a personal computer. Is there sufficient evidence at the 0.
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Answer:

h_{0}: p= .78

h_{a}: p > .78

Step-by-step explanation:

Determining the null and alternate hypotheses of a scenario require several components. The first is if one should use p or mu. This depends on if they are assessing a proportion or a mean, since the publisher states a percentage, you know that they are asking for a proportion, and therefore should use p. Next, they will need to assess what value to use for the hypothesis statements, here only .78 is provided and therefore should be used in both. Finally, it is time to add in the comparison symbols, the null hypothesis always uses an equals sign so it therefore becomes:

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The alternate hypothesis then needs to consider if the researchers claim that the new proportion is greater, fewer, or different. In this case it is greater as they think that the ownership is above 78%, so a greater than sign would be used and the final statement would be:

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3 years ago
Darrin graphs the following inequality: y > -3x -5. Does the side of the line with all solutions (the shaded region) include
Anarel [89]

Yes it does include the test point (0, 0)

  • equation:  y > -3x -5

<h3>Find y-intercept:</h3>
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<h3>Find x-intercept:</h3>
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<u>switch sides</u>

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<u>Multiply both sides by -1 reverses the inequality</u>

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Thus, the following (0, 0) comes under the following x > -5/3 and y > -5

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2 years ago
A manufacturer is interested in the output voltage of a power supply used in a PC. Output voltage is assumed to be normally dist
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Answer: hello your question was poorly written but i was able to the get missing parts online which enabled me resolve your question

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Ha : μ ≠ 5 volts

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a) Acceptance region = 4.9 ≤ X ≤ 5.1  

Determine the value of a

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                 = 0.1096

<em>attached below is the reaming solution</em>

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