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Fiesta28 [93]
2 years ago
14

Let ƒ(x) = 5x − 4 and g(x) = x2 - 1. Find (ƒ ○ g)(2).

Mathematics
1 answer:
PolarNik [594]2 years ago
4 0

(f ○g ) (2)= 11

Step-by-step explanation:

(f ○g ) (x)= (f(g(x))

= 5( x² -1) – 4

= 5x² – 5 – 4

= 5x² – 9

(f ○g ) (2)= (f(g(2)) = 5 (2)² – 9 = 5(4) – 9 = 20 – 9 = 11

I hope I helped you^_^

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Simora [160]
1) When finding a median, order your numerical list from smallest to larger, as so: 2,2,3,4,5,6,8,9.
2) Then start eliminating numbers from each side of the order; (The bolded numbers will be removed.)
    2,2,3,4,5,6,8,9
   
2,3,4,5,6,8,9
    2
,3,4,5,6,8
    3,4,5,6,8
    
3,4,5,6
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3) Since there is an even number of digits in your list, you will have to add the last two digits and then divide them by two. 4 and 5 are the last numbers standing, (4+5=9)(9/2=4.5) and therefore your answer, would be 4.5, or B.
8 0
3 years ago
CHCK Farms raises hens and roosters. They have enough space to raise at most 300 birds per year. Each hen eats 80 pounds of food
svp [43]

<u>Answer</u>:

The number of hens is 100 and the number of roosters is 200.

<u>Step-by-step explanation:</u>

Let the number of hens be x and the number of roosters be y

then the total number of  hens and roosters, is 300

so,

x+y \leq 300----------------------------(1)

Also  the hen eats 80 pounds of food per year and roosters eats 60 pounds of food per year,

80x+60y \leq 20000----------------(2)

To solve the equations , multilpy eq(1) by 80

80x+80y \leq 24000------------------(3)

Subracting (2) from (3)

20y \leq 4000

y \leq 200

substituting y in eq(1) we get

x+200 \leq 300

x \leq 300-200

x \leq 100

7 0
3 years ago
Rewrite each expression by combining like terms.<br><br> 8pq - 3pq<br><br> 2m - 3m + 4
qaws [65]

Answer:

  1. 8pq-3pq= 5pq
  2. 2m-3m+4 =4-m

Step-by-step explanation:

  1. The first equation shows two terms can be combine as follow: 8pq-3pq= (8-3)pq by applying common factoring. Then, because 8-3=5, it can be expressed as 5pq.
  2. In the second equation, we have only two terms that can be factored by combining the terms that share the same factor (which is m). Then, 2m-3m+4 can be expressed like m(2-3)+4. Because (2-3)=-1 and because the order of the sum does not affect the result, the result is 4-m.
4 0
3 years ago
Polygon Q is a scaled copy of Polygon P. The value of x is 6, what is the scale factor?
ANTONII [103]

Answer:

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Step-by-step explanation:

I just did it and got it right

3 0
2 years ago
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AURORKA [14]
Set up a proprtion and cross multiply.

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7.5×22=18 (4x+1)
165=72x+18
147=72x
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8 0
3 years ago
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