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2 years ago

14

What is the slope of the line in the graph?

1 answer:

Liono4ka [1.6K]2 years ago

8 0

Answer:

1

Step-by-step explanation:

move up one and over one, 1/1 = 1

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Mark purchased a 20 foot long sub for a party he cuts the sandwich into 5/12 foot sections into how many pieces does he cut the

vazorg [7]

Answer:

48 pieces

Step-by-step explanation:

20÷5/12=20*12/5=240/5=48

5 0

1 year ago

A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$

$g(x) = \frac{2x+1}{x}$

A.)Consider

$f(g(x))= f(\frac{2x+1}{x} )$

$f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}$

$f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}$

$f(\frac{2x+1}{x} )=\frac{x}{1}$

$f(\frac{2x+1}{x} )=1$

Also,

$g(f(x))= g(\frac{1}{x-2} )$

$g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{x }{1}$

$g(\frac{1}{x-2} )= x$

Since, $f(g(x))=g(f(x))=x$

Therefore, both functions are inverses of each other.

B.

For the Composition function $f(g(x)) = f(\frac{2x+1}{x} )=x$

Since, the function $f(g(x))$ is not defined for $x=0$ .

Therefore, the domain is $(-\infty,0)\cup(0,\infty)$

For the Composition function $g(f(x)) =g(\frac{1}{x-2} )=x$

Since, the function $g(f(x))$ is not defined for $x=2$ .

Therefore, the domain is $(-\infty,2)\cup(2,\infty)$

8 0

3 years ago

To which sets of numbers does −1/4 belong? Select each correct answer.

Pachacha [2.7K]

-1/4 will be ration because all fractions are rational

8 0

2 years ago

How do I divide 581 by 120 ?

s2008m [1.1K]

The answer is <span>4.84166667</span>

7 0

2 years ago

The data set below represents the ages of 11 kids in an after-school program. 10, 11, 8, 7, 6, 10, 7, 10, 9, 9, 12 Which box plo

Andreas93 [3]

Answer:

This is the answer because you need to find mean median mode range, first quertile, third quartile

Whisker plot below

Step-by-step explanation:

Mean (Average) 9

Median 9

Range 6

Mode 10, appeared 3 times

Geometric Mean 8.8206311297046

Largest 12

Smallest 6

Sum 99

Count 11

■ 1st quartile (lower quartile) = 7.5

■ 2st quartile (median) = 9

■ 3st quartile (upper quartile) = 10

8 0

2 years ago