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irga5000 [103]
3 years ago
10

Given the following functions f(x) and g(x), solve for (f ⋅ g)(2) and select the correct answer below:

Mathematics
2 answers:
kenny6666 [7]3 years ago
8 0

Answer:

-84

Step-by-step explanation:

I got it right on my test

Marizza181 [45]3 years ago
7 0
<h3>Answer:</h3>

-84

<h3>Explanation:</h3>

(f·g)(2) = f(2)·g(2)

... = (3·2²+2)·(2-8) = 14·(-6) = -84 . . . . . put the numbers in the function and do the arithmetic

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What equation results from completing the squre and then factoring x^2+10=15
nlexa [21]

For this case we must complete squares:

x ^ 2 + 10x = 15

We add the square of half the coefficient of the term "x",

(\frac {b} {2a}) ^ 2 on both sides of the equation:

x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15

According to the perfect square trinomial we have:

(a + b) ^ 2 = a ^2 + 2ab + b ^ 2

Rewriting the expression we have:

a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40

ANswer:

(x + 5) ^ 2 = 40

6 0
3 years ago
Brian is 2 years older than Malachy. Caroline is 8 years younger than Malachy. If the total of their ages is 66, how old is the
SVETLANKA909090 [29]

Answer:

The eldest of them is Brian and he is 24 + 2 = 26 years old.

Step-by-step explanation:

Let

Malachy age = a

Brian age = a + 2

Caroline age = a - 8

Total of their age = a + (a + 2) + (a - 8)

66 = a + (a + 2) + (a - 8)

collect like terms

66 = a + a + 2 + a - 8

66 = a + a + a - 6

3a = 66 + 6

3a = 72

divide both sides by 3

a = 72/3

a = 24

Malachy age is 24 . Caroline is 24 - 8 = 16 years old.

The eldest of them is Brian and he is 24 + 2 = 26 years old.

7 0
3 years ago
What is the quotient of the following division problem? 17374 ÷ 448 = ?
worty [1.4K]
B - 38 r350.
To check 448 x 38 =17,024 + 350 =17,374
6 0
3 years ago
The cost of a postage is determined by the following step function: How much would a package that weighs 3 ounces cost, in cents
bija089 [108]

Answer:

I think its C) 43. Let me know what you get

4 0
3 years ago
What two numbers can you multiply to get 84?
svet-max [94.6K]
84 ÷ 2 = 42

Check it to make sure.

2 × 42 = 84

42 and 2 can be multiplied to get 84.
7 0
3 years ago
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