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maks197457 [2]
3 years ago
10

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)). (1 point) −7 −3 10 33

Mathematics
1 answer:
qwelly [4]3 years ago
6 0
Since the expressions for f(x) and g(x) are already given, f(g(2)) means to substitute the value of 2 to the expression of g(x), then further substituting the obtained value of g(2) into the expression of f(x). This is shown below:

f(x) = x + 8
g(x) = x^2 - 6x - 7

f(g(x) = x^2 - 6x - 7 + 8 
f(g(2)) = 2^2 - 6(2) + 1
f(g(2)) = 4 - 12 + 1
f(g(2)) = -7

Therefore, the correct answer is -7.
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What is the difference between a factor of a number and a multiple of a number? use the number 25 has an example
Ne4ueva [31]

Answer:

  • factor: a submultiple; an integer value that gives an integer quotient when the number is divided by it.
  • multiple: the product of the number and another integer

Step-by-step explanation:

<h3>Factors</h3>

A set of factors of a number (N) is a set of integers {f1, f2, f3, ...} whose product is the number:

  f1 × f2 × f3 × ... = N

Often the term "factors" is used to mean "prime factors," the set of prime numbers whose product is N.

When N = 25, the prime factors are {5, 5}. That is ...

  5×5 = 25

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<h3>Divisors</h3>

A "divisor" of a number is a sub-multiple of N. That is, the quotient N/k is an integer for some divisor k of N. Usually, we're interested in integer divisors. All prime factors will be integer divisors of N. The term "factor" is often used when the term "divisor" is meant.

Divisors of N = 25 include 1, 5, and 25. There will be an odd number of integer divisors (as here) if the number N is a perfect square.

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<h3>Multiples</h3>

For an integer k, the value k×N is called a <em>multiple</em> of N, often, the <em>k-th multiple</em> of N.

Multiples of 25 include 25, 50, 75, 100, 125, and any other decimal number ending in 25, 50, 75, or 00.

__

<em>Another example</em>

When N=30, the prime factors are {2, 3, 5}. The divisors are {1, 2, 3, 5, 6, 10, 15, 30}. (Note there are an even number of divisors.) Multiples of 30 include 30, 60, 90, 120, ....

6 0
2 years ago
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scoundrel [369]

Answer:

x=-3,x=9

Step-by-step explanation:

x^2-6x-20-7=0

x^2-6x-27=0

x^2-(9-3)x-27=0

x^2-9x+3x-27=0

x(x-9)+3(x-9)=0

(x+3)(x-9)=0

x=-3,x=9

4 0
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vlada-n [284]

Answer:

It will take 100 songs for the monthly price of Napster to cost the same as iTunes.

Step-by-step explanation:

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T(d)=0.99d

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In order for us to find when the two prices will be the same, let's set the equations equal to each other and solve for x:

0.99d=0.89d+10

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4 0
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igor_vitrenko [27]

Answer:

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Step-by-step explanation:

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tiny-mole [99]

Answer:

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Step-by-step explanation:

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