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2 years ago

8. Find (f+g)(x) if f(x) = 4x² - 5x and g(x) = 3x² + 6x - 4.

Mathematics

1 answer:

lilavasa [31]2 years ago

5 0

${\qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

$\qquad \sf \dashrightarrow \: (f + g)(x)$

$\qquad \sf \dashrightarrow \: f(x) + g(x)$

$\qquad \sf \dashrightarrow \: (4 {x}^{2} - 5x) + (3 {x}^{2} + 6x - 4)$

$\qquad \sf \dashrightarrow \: 7 {x}^{2} + x - 4$

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Suppose that scores on an aptitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on a

DerKrebs [107]

Answer:

<u>The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

6/4.6 = 1.30

A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

5/2.4 = 2.08

The z-scores of Felix were 1.30 on the aptitude test and 2.08 on the knowledge test. He performed better on the aptitude test because 2.08 > 1.30, so the correct statement that best describes Felix's scores on the two tests comparatively is<u> C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

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3 years ago

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Answer:

The equation can define y as a function of x and it also can define x as a function of y.

Step-by-step explanation:

A relation is a function if and only if each value in the domain is mapped into only one value in the range.

So, if we have:

f(x₀) = A

and, for the same input x₀:

f(x₀) = B

Then this is not a function, because it is mapping the element x₀ into two different outputs.

Now we want to see it:

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if we isolate y, we get:

y = f(x) = 27 - x

Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.

Now we also want to check if:

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So now we need to isolate x to get:

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Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.

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Which are solutions of the equation x^2- 16 = 0? Check all that apply

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Answer:

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Hence the solutions is obtained following the steps from below:

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Now, lets apply square root to whole equation:

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The bars means that x can be-4 o 4, since -4^2=16 and 4^2=16

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Step-by-step explanation:

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3 years ago

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Answer:

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8. Find (f+g)(x) if f(x) = 4x² - 5x and g(x) = 3x² + 6x - 4.​

8. Find (f+g)(x) if f(x) = 4x² - 5x and g(x) = 3x² + 6x - 4.