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3 years ago

For the functions f(x)=−10x+15 and g(x)=3x+5 find the following.

Mathematics

1 answer:

Jlenok [28]3 years ago

6 0

Answer:

(fcircle◦g)(x) : -30x- 35. domain: (-infinity, +infinity)

(gcircle◦f)(x) : -30x+ 50. domain: (-infinity, +infinity)

Step-by-step explanation:

The circle simply means to replace the x in the function with the other function. The domain is the x values. Since both of these equations are linear, it's negative infinity to infinity.

(fcircle◦g)(x): -10( 3x +5) +15

-30x -50 +15

-30x -35

(gcircle◦f)(x): 3(-10x +15) +5

-30x + 45 + 5

-30x +50

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AleksandrR [38]

Graph images undergo transformations, one of the types of transformations are rotations.
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3 years ago

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In using the multiple regression method, we can model the effects of the different levels of a qualitative independent variable

attashe74 [19]

For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.

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So, For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.

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1 year ago

Round 62.17354 to the nearest hundredth

Vladimir [108]

Answer:

The answer is 62.17

Step-by-step explanation:

Because 3 in the thousandths is not equal to or greater than 5

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3 years ago

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A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam

Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 65, \sigma = 8.2$