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san4es73 [151]
3 years ago
13

Use the functions a(x) = 3x + 10 and b(x) = 2x − 8 to complete the function operations listed below.

Mathematics
1 answer:
Gnoma [55]3 years ago
7 0
For part A, you simply add the two functions a(x) and b(x). The resulting function is then (a+b)(x) = 5x +2.

For part B, you multiply the functions a(x) and b(x). Using the FOIL method, we obtain, 6x^2 -24x + 20x - 80. Simplifying, we get, (a*b)(x) =  6x^2 -4x - 80.

For part C, you replace x in the function a(x) with the expression from b(x). This results to: a[b(x)] = 3(2x - 8) +10. Simplifying, a[b(x)] = 6x - 14.
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The 32 students in Ms.Byrd's art class made a project with construction paper. Eleven students used red construction paper, 8 st
Mice21 [21]

Answer: The correct answer is C. 13/32

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13 out of 32 students, or

13/32

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2 years ago
Point K is located at (1.5) on the coordinate plane. Point K is reflected over the Z-
Setler79 [48]

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Step-by-step explanation:

6 0
3 years ago
Select all of the following statements that are true:
Maurinko [17]

Answer:

B. You shouldnt take a random sample of more than 5% of the population size.

Step-by-step explanation:

B. You shouldnt take a random sample of more than 5% of the population size. This is True, so as to avoid the research analysis to be more complex to interpret and analyzed

However, the following are not true statements:

A. Random samples only generate unbiased estimates of long-run proportions, not long-run means. This is False, as there may be sampling error, when picking the sample, which will lead to bias estimates in the long run proportions

C. There is no way that a random sample of 100 people can be representative of all adults living in the United States. This is False, as using the right factors such as gender, age, income, etc, in selecting the sample, 100 people is enough to use as sample of adults living in the United States

D. If this question is voted out, the alternate option is "larger samples are always better than smaller samples, regardless of how the sample was collected." This is False, larger samples are not always better than smaller samples. In fact, they are often difficult to analyze and interpret.

E. Nonrandom samples are always poor representations of the population: This is False, depending on the expected outcome of the research study. Some research studies required the research to use Nonrandom samples to reach verifiable conclusion.

8 0
3 years ago
Please help on question c
aleksandr82 [10.1K]

Answer: 240 km

Step-by-step explanation:

From the graph :

50 miles = 80km

1 miles = 80/50 km

Therefore :

150 miles = 80/50 x 150

150 miles = 240 km

4 0
3 years ago
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