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3 years ago

If f(x)=x+4 and g(x)=x^2-1, what is g(f(x))?

Mathematics

1 answer:

pickupchik [31]3 years ago

3 0

g(f(x)) means plug in f(x) for every "x" in g(x).

g(f(x))=(x+4)^2-1=x^2+8x+16-1=x^2+8x+15

answer: x^2+8x+15

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Nookie1986 [14]

Answer:

m = -12 / 6 = -2 / 1 = -2

So its -2

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3 years ago

How can you simplify this on to an expression

LiRa [457]

Hello :
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3 years ago

The life, in years, of a certain type of electrical switch has an exponential distribution with an average life β=44. If 100 o

Bond [772]

Answer:

0.9999

Step-by-step explanation:

Let X be the random variable that measures the time that a switch will survive.

If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by

$\bf P(X$

So, the probability that a switch fails in the first year is

$\bf P(X$

Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.

Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and

$\bf P(Y=k)=\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}$

where

$\bf \binom{100}{k}$ equals combinations of 100 taken k at a time.

The probability that at most 15 fail during the first year is

$\bf \sum_{k=0}^{15}\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}=0.9999$

3 0

3 years ago

Please help me!!!!!!!

Paha777 [63]

RSP is the semicircle

3 0

3 years ago

If f(x)= 5x + 40, what is f(x) when x = -5?

kap26 [50]

Answer:

f(x) = 15

Step-by-step explanation:

"If f(x)= 5x + 40, what is f(x) when x = -5?"

Substitute x for -5:

f(x) = 5x + 40

f(x) = 5(-5) + 40

f(x) = -25 + 40

f(x) = 15

6 0

3 years ago