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3 years ago

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

Mathematics

1 answer:

lyudmila [28]3 years ago

7 0

So, we are looking for F of G of 2. So, we need to work backwards and find G(x) first.

$g(-2)=5(-2)+4\\g(-2)=-6$

So we know that g(-2) = -6, now we take thatt -6 and plug in into f(x)

$f(g(-2))=f(-6)\\f(-6)=8-10(-6)\\f(-6)=8+60\\f(-6)=68$

68 is the answer

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From previous polls, it is believed that 66% of likely voters prefer the incumbent. A new poll of 500 likely voters will be cond

Vladimir79 [104]

Answer:

The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.

Step-by-step explanation:

We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.

A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.

Let p = probability of voters preferring the incumbent = 66%

n = number of voters polled = 500

So, the mean of the number preferring the incumbent is given by;

Mean = $n \times p$ = $500 \times 0.66$

= 330 voters

And, standard deviation of the number preferring the incumbent is given by;

Variance = $n \times p\times (1-p)$

= $500 \times 0.66 \times (1-0.66)$

= 112.2

So, Standard deviation = $\sqrt{Variance}$

= $\sqrt{112.2}$ = 10.59

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3 years ago

. Jessica went to the grocery store and purchased a box of cereal for $3.75, milk for $1.50, and bread for $2.25. She paid with

puteri [66]

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3 years ago

4x=x+18 solve for x

Flura [38]

Answer:

X = 6

Step-by-step explanation:

Subtract 1 x from both sides so the equation will be 3x = 18. Then divide 3x by 3 and 18 by 3 to get 6

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3 years ago

Read 2 more answers

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vagabundo [1.1K]

Where are the variables?

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3 years ago

Substitute x+y =200 9.5x+27y=4000

Vera_Pavlovna [14]

Point form: (80,120)
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3 years ago