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kramer
3 years ago
14

If g(x) = x3 - 5 and h(x) = 2x - 2, then h(g(-2))= ?

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0
Please, write "x^3" for "the cube of x," not "x3."  "^" denotes exponentiation.

Then you have g(x) = x^3 - 5 and (I assume) h(x) = 2x - 2.

1)  evaluate g(x) at x = -2:  g(-2) = (-2)^3 - 5 = -8 - 5 = -13

2) let the input to h(x) be -13:  h(-13) = 2(-13) - 2 = -28 (answer)
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According to​ statistics, a person will devote 34 years to sleeping and watching TV. The number of years sleeping will exceed th
Kobotan [32]

Considering the definition of an equation and the way to solve it, a person will devote 28 years watching TV and 6 years sleeping.

<h3 /><h3>Definition of equation</h3>

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

  • When a value that is adding, when passing to the other member of the equation, it will subtract.
  • If a value you are subtracting goes to the other side of the equation by adding.
  • When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.
  • If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

<h3>This case</h3>

Being "x" the number of years watching TV, and knowing that:

  • The number of years sleeping will exceed the number of years watching TV by 22.
  • A person will devote 34 years to sleeping and watching TV.

the equation in this case is:

x + (x+22) =34

Solving:

x + x =34 -22

2x= 12

x= 12 ÷ 2

<u><em>x=6</em></u>

As the number of years sleeping will exceed the number of years watching TV by 22, then<u><em> x +22= 6 +22= 28 years.</em></u>

Finally, a person will devote 28 years watching TV and 6 years sleeping.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

#SPJ1

3 0
2 years ago
The cost to enter the zoo is $20 for adults and $15 for children. In one day, 45 adults and 600 children visited the zoo. How mu
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Answer:

the answer is 9,900

Step-by-step explanation:

you multiply 20 times 45. 20 for the cost of adults and 45 for how many adults. and then you mulitpy 600 times 15 because children cost 15 dollars and their was 600 children. and then you add both up to get 9,900

4 0
3 years ago
Can you help me with this like explain how and stuff, Please?
eduard

Answer:

Step-by-step explanation:I belive that the 7x+22 needs to equal 50 because they opposite angles. Hope this helped a little and can get you started

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