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IgorC [24]
3 years ago
13

(3k-2)(5k+4) find each product step by step

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0

Step-by-step explanation:

(3k - 2)(5k + 4)= 15 k^2 +12k - 10 k - 8 = 15 k^2 + 2k -8

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What’s the standard form of the line that passes through (7,-3) and has a y-intercept of 2?
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Answer:

Step-by-step explanation:

(y-y)=m(x-x)

(y--3)=2(x-7)

y+3=2x-14

y+3+14=2x

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A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. What is the area of the octagon, rounded to the ne
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Answer:

332in^2

Step-by-step explanation:

The area of a regular polygon is calculated using the formula;

Area=\frac{1}{2}ap

where a is the apothem and p is the perimeter.

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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
Lelu [443]

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).

59.75 = 29.99 + 16a

16a = 29.76

a = \frac{29.76}{16}

a = 1.86

So

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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