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coldgirl [10]
2 years ago
11

Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). (1 point)

Mathematics
1 answer:
OleMash [197]2 years ago
6 0
The easiest terms to check are the first (8x)(2x²) = 16x³ and the last (-5)(-6) = 30. This check eliminates the first choice. The remaining choices differ only in the sign and coefficient of the squared term, so that is the one we need to find.

The squared term will be the sum of the products of factors whose degrees total 2:
  (8x)(-5x) + (-5)(2x²) = -40x² -10x² = -50x²

The appropriate choice is
  16x³ -50x² -23x +30
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In 2000, the average monthly price for basic cable television in the United States was $29.99. In 2016, the average monthly pric
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Answer:

y(x) = 29.99 + 1.86x

The cost of basic cable television in the United States in the year 2020 will be $67.19.

Step-by-step explanation:

The linear function has the following format.

y(x) = y(0) + ax

In which y(x) is the cost x years after 2000, y(0) is the initial cost, that is, the cost in 2000, and a is the slope(how much the cost changes in a year).

In 2000, the average monthly price for basic cable television in the United States was $29.99.

This means that y(0) = 29.99

In 2016, the average monthly price for the same basic cable television was $59.75.

2016 is 16 years after 2000. So

y(16) = 59.75

Write a linear function that models the cost of basic cable television in the United States for x years after 2000.

y(x) = y(0) + ax

Applying y(16).

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a = \frac{29.76}{16}

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y(x) = 29.99 + 1.86x

Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

2020 is 20 years after 2000, so this is y(20).

y(x) = 29.99 + 1.86x

y(20) = 29.99 + 1.86*20 = 67.19

The cost of basic cable television in the United States in the year 2020 will be $67.19.

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