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olchik [2.2K]
3 years ago
8

Please help me. i don’t understand how to interpret the (f o g)(x) And (g o f)(x)

Mathematics
1 answer:
Brrunno [24]3 years ago
8 0

fog functions are basically saying f(g(x)).

So (f o g)(x) = f(g(x)).

This is also true for gof functions.

(g o f)(x) = g(f(x)).

All we do for these problems is plug in g(x) into the x value in the f(x) equation.

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Since she is doubling the box it will be 2 times bigger
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Find the​ y-coordinates of the points that are 10 units away from the point (-7, 6) that have an​ x-coordinate of 1.
prohojiy [21]

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-7}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{y})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ 10=\sqrt{[1-(-7)]^2+[y-6]^2}\implies 10^2=[1-(-7)]^2+[y-6]^2 \\\\\\ 100=(1+7)^2+(y-6)(y-6)\implies 100=8^2+\stackrel{F~O~I~L}{(y^2-12y+36)} \\\\\\ 100=64+36+y^2-12y\implies 100=100+y^2-12y \\\\\\ 0=y^2-12y\implies 0=y(y-12)\implies y= \begin{cases} 0\\ 12 \end{cases}

7 0
3 years ago
use the given endpoint r and midpoint m to line rs to find the coordinates of the other endpoint s. r(6,0) m(0,2)
Ganezh [65]
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5 0
3 years ago
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees
Levart [38]

Answer:

The probability the event that none of them are obese is 0.0352.

Step-by-step explanation:

<h3>Binomial distribution:</h3>

A discrete random variable X having to the set {0,1,2,3....,n} as the spectrum, is said to have binomial distribution with parameters n= the number of trial, and p= probability of successes on an individual trial , if the p.m.f of X is given by,

P(X=x)=\left(\begin{array}{c}n\\x\end{array}\right) p^x(1-p)^{n-x} for x=0,1,2,...,n

                =0                               elsewhere.

where 0<p<1 and  n an positive integer,

Given that,

The probability of the event that a child living in an urban area in the united state is obese is 20%.

n=Number of children = 15, p= 20%= 0.20.

The probability the event that none of them are obese is

=P(X=0)

=\left(\begin{array}{c}15\\0\end{array}\right) (0.20)^0(1-0.20)^{15-0}

=0.0352

7 0
3 years ago
Alan can do 2/3 part of his work and sam can do 3/4 part of her work .Who can do more work​
guajiro [1.7K]

Answer:

Sam can do more work.

Step-by-step explanation:

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3/4 equals out to almost all of her work done. 0.75.

*hope this helps*

8 0
3 years ago
Read 2 more answers
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