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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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Answer:

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5 0
3 years ago
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Simplify: 3x^2-8x+4 and show work please
Bad White [126]

believe what you're asking is to turn the trinomial into two binomials

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(3x    )(x     )     when multiplying that, you would get 3x²

when dealing with the -8x and the 4, you must find numbers that are factors of four (when multiplied together they will equal 4) and will multiply with the x's to get -8

(3x-2)(x-2)

you can tell that this is the answer because when you multiply though you will get:

3x-2x²-6x+4

or: 3x²-8x_4

Hope this helped


5 0
3 years ago
What are the next two numbers? 0.3 , 0.7 , 1.1 , 1.5 ,
Dmitry [639]
There is an increment of 0.4 in each term. Next will be
[1.5+0.4], [1.5+0.4+0.4]
1.9, 2.3
3 0
3 years ago
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An individual has 3 different email accounts. Most of her messages, in fact 60% come into account #1, whereas 30%come into accou
laila [671]

Answer:

the probability is 0.02 (2%)

Step-by-step explanation:

defining the event S= the message is spam , then the probability is

P(S) = probability that a randomly selected message comes from account #1 * probability that the message is spam given that the message is from account #1 + probability that a randomly selected message comes from account #2 * probability that the message is spam given that the message is from account #2 + probability that a randomly selected message comes from account #3 * probability that the message is spam given that the message is from account #3 = 0.6 * 0.01 + 0.3 * 0.03 + 0.1 * 0.05 = 0.02 (2%)

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7 0
3 years ago
A collection of dimes and nickels is worth 3.30. if there are 42 coins in total how many of each kind of coin are there?
grin007 [14]
1 nickels =$0.05
1 dime= $0.1
let the number of nickels be x and that of dimes be y.
total number of coins is given by:
x+y=42
hence:
y=42-x.......i

total amount of cash will be:
0.05x+0.1y=3.30.........ii
substituting i in ii we get:
0.05x+0.1(42-x)=3.30
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x=-0.9/(-0.05)
x=18
hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24
5 0
3 years ago
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