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Vlada [557]
3 years ago
12

given f(x)= 3 square root x-5 , g(x)= x^3+1 find g f(x). Can someone explain to me this question step by step? I don’t know why

I’m getting wrong answer pls help!
Mathematics
1 answer:
Tomtit [17]3 years ago
4 0

f(x) = 3 \sqrt{x - 5}  \\ g(x) =  {x}^{3}  + 1 \\ g(f(x)) = g(3 \sqrt{x - 5} )

rewrite x in g(x)

=  {(3 \sqrt{x - 5}) }^{3}  + 1 \\  =  {3}^{3}  \times  {( \sqrt{x - 5} )}^{3}  + 1  \\ = 27(x - 5) \sqrt{x - 5}  + 1

just observe ?

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Answer: 25x^2 - 1^2

Explanation:

(5x+1) (5x-1)

(5x)^2 - 1^2

25x^2 - 1^2
7 0
2 years ago
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Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all
Gnom [1K]

Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that p = 0.95

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

5 0
2 years ago
walmart sells the bike he likes for 350 dollars Walmart had the bike on sell for 30% off what is the cost of the bike at Walmart
lara31 [8.8K]

Answer:

$245

Step-by-step explanation:

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7 0
3 years ago
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The mean height of married American women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. The m
SSSSS [86.1K]

Answer:

The equation for regression line and predicting a husband's height for married couples in their early 20s

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

r=0.5

x'=64.5

Sx=2.5

y'=68.5

Sy=2.7

General regression line equation is:

Y'=a+b*X'

so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

b=r*\frac{S_{y}}{S_{x}}\\b=0.5*\frac{2.7}{2.5}\\b=0.54

The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x

a=y'-b*x'\\a=68.5-0.54*64.5\\a=33.67

The equation regression line then is:

Y'=33.67+0.54*X'

4 0
3 years ago
Given the function f(x) = 2|x + 6| -4, for what values of x is f(x) = 6?
photoshop1234 [79]

Answer:

f(x) = 2|x + 6|-4

6=2|x + 6|-4

10= 2|x + 6|

divide by 2

5=|x + 6|

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x = -1

so x should be -1

4 0
3 years ago
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