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GREYUIT [131]
3 years ago
8

Simplify the expression and then evaluate it for the given value of the variable:

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

  • -5x+21
  • 22

Step-by-step explanation:

There are no factors outside the parentheses that need to be distributed, so the parentheses can be simply dropped:

  6 -2x +15 -3x

The terms can be rearranged to put like terms next to each other:

  -2x -3x +6 +15

and the like terms can be combined.

  -5x +21 . . . . simplified expression

__

Put the value of x where x is, then do the arithmetic.

  -5(-0.2) +21 = 1 +21 = 22

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3 years ago
Amtrak s annual passenger revenue for the years 1980 2000 is modeled approximately by the formula R = -40 |x - 11| + 990 where R
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Answer:

<h2>1986, 1996</h2>

Step-by-step explanation:

       Given, Annual passenger revenue for the years 1980 to 2000 id=s modeled with the formula R=-40|x-11|+990.

Here, R is the annual revenue in millions of dollars, x is the number of years since January 1, 1980.

       Revenue in a year was $ 790 million.

So, R=790\\-40|x-11|+990=790\\40|x-11|=200\\|x-11|=5\\x-11=5\text{ (or) }x-11=-5\\x=16\text{ (or) }x=6

       So, after 6 yrs and 16 yrs from January 1, 1980, the Passenger revenue equals $ 790 million.

∴ Passenger revenue equals $ 790 million in 1986 and 1996.

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3 years ago
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Step-by-step explanation:

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A prism has total surface area of 228 m^2 and volume of 216 m^3.
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