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erastova [34]
3 years ago
5

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0
F(x) = 8 - 10x

g(x) = 5x + 4

Finding (fg)(-2).

First let us find fg(x),  this is the same as f(g(x))

f(g(x))

f(5x + 4)

Recall, f(x) = 8 - 10x, therefore f(5x + 4) would be such that anywhere we see x in the f(x), we replace it with 5x + 4

f(x) = 8 - 10x

f(5x +4) =  8 - 10(5x + 4)

             =  8 - 50x - 40

             = -50x + 8 - 40

             =  -50x - 32

f(g(x)) = fg(x) = -50x - 32

fg(-2) = -50*(-2) - 32 = 100 - 32 = 68

Therefore fg(-2) = 68

I hope this helped.
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kumpel [21]

Answer:

Step-by-step explanation:

3x and 3y are not "like terms," despite having the same coefficient.

Like terms have the same variable. For example, 3x and 2x are like terms, so

3x+2x = 5x

7 0
2 years ago
Gina, Sam, and Robby all rented movies from the same video store. They each rented some dramas, comedies, and documentaries. Gin
weqwewe [10]
Solve using equations:

Gina 11 = a+b+c
Sam 27 = 2a+3b+2c
Robby 19= a+2b+2c

Gina *2 give 22=2a+2b+2c (subtract this from Sam to give)
b=5

the subtract Robby from Gina *2 to give a=3



[Question 1]
let d = number of dramas Gina rented, c = # of comedies, and t = # of documentaries:

[equation a] d + c + t = 11
[equation b] 2d + 3c + 2t = 27
[equation c] d + 2c + 2t = 19

if we subtract [a] from [c] we get:
[equation d] c + t = 8

if we subtract [c]*2 from [b] we get:
[equation e] -c - 2t = -11 or
[equation e] c + 2t = 11

Now we can subtract [e] from [d] to solve for t:
t = 3

Now put in 3 for t in [d] or [e] to solve for c:
c + 2(3) = 11
c + 6 = 11
c = 5

So she rented 5 comedies and 3 documentaries which leaves 3 dramas (which is answer A)
6 0
2 years ago
Read 2 more answers
Anderson has $50 in his savings account. He deposits $5 every week. His father also deposits $20 into the account every time And
Sav [38]

Part A: 5 is the coefficient, w is the variable, 50 is the constant

Part B: 10 x 5 = 50 + 2 x 20 = 40+ 50 = $140

Part C: the constant,50,would change and become 85.  Hope this helps :)
8 0
3 years ago
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8 miles in 0.5 hour what rate in miles per hour
yan [13]
In this question it is already given that a person travels 8 miles in 0.5 hours. This is enough information to get to the required answer. Let us first write down all the information's that are already given in the question.
In 0.5 hours the person covers a distance = 8 miles
Then
In 1 hour the person covers a distance of = 8/0.5 miles
                                                                   = 16 miles
So the speed of the person in miles per hour = 16/1 miles/hour
                                                                         = 16 miles per hour
8 0
3 years ago
Read 2 more answers
What is the solution of the equation -14+2x+3=4x-13-7x
Harman [31]

Answer: x= -2/5 or x= -0.4

combine like terms on left side and get -11+2x. then combine terms on right side and get -13-3x. add the 11 to the right side and get 2x= -2-3x

then add over the 3x and get 5x=-2

and finally divide the -2 from 5x and get -2/5

4 0
3 years ago
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