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uranmaximum [27]
3 years ago
7

If f(x)=4x-1 and g(x)=x^2+7 ,find G(f(x))

Mathematics
1 answer:
algol133 years ago
4 0

Answer:

16x² - 8x + 8

Step-by-step explanation:

f(x)=4x-1

g(x)=x²+7

g(f(x)) = g(4x-1) = (4x - 1)² + 7 = 16x² - 2*4x*1 +1² + 7= 16x² - 8x + 8

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Given that f(x) = x and g(x) = 2x^3, we have

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and

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2 years ago
Can someone help me and write the answer in scientific notation <br> and show the steps
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A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If th
Dafna11 [192]

Answer:

The probability that exactly 19 of them are strikes is 0.1504

Step-by-step explanation:

The binomial probability parameters given are;

The probability that the pitcher throwing a strike, p = 0.675

The probability that the pitcher throwing a ball. q = 0.325

The binomial probability is given as follows;

p(x) = _{n}C_{x}\cdot p^{x}\cdot q^{1-x}

Where:

x = Required probability

Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;

The probability that exactly 19 of them are strikes is given as follows;

\binom{29}{19}(0.675)^{19}0.325^{10} = \frac{29!}{19!\times 10!}\times (0.675)^{19}\times 0.325^{10} = 0.1504

Hence the probability that exactly 19 of them are strikes = 0.1504

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3 years ago
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Answer:

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Step-by-step explanation:

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