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GarryVolchara [31]

2 years ago

5

The store sells 12 cans of nuts for $27 how much would it cost you to buy 7 cans of nuts

1 answer:

Kaylis [27]2 years ago

3 0

27/12=2.25

2.25x7=15.75

ANSWER: $15.75 for 7 cans

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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

A function follows the rule y = -75 - 5 x . When the function's output is 25, the equation is 25 = -75 - 5 x .

zhenek [66]

Answer:

same here idek tbh

Step-by-step explanation:

.......

3 0

2 years ago

I don’t understand how to factor trinomials

gayaneshka [121]

When the X term is one, and doesn't have a leading coefficient, then you can factor it using the box and diamond method. look up videos on Khan Academy of the box and diamond method for solving trinomials. For number 9, you have a difference of squares. That means you can factor to just 2 terms. (x+4)(x-4) this works because 16 has an easy square root, and the sign in between is a negative(difference)

3 0

2 years ago

Read 2 more answers

The number of bus riders was recorded on one route. The data have these values: minimum = 18, lower quartile = 22,

Angelina_Jolie [31]

Answer:

The answer is B

Step-by-step explanation:

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5 0

3 years ago

A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of t

forsale [732]

V = π r² h
V= π (4x+2)² (5x+4)
V = π (4x+2)(4x+2)(5x+4)
V = π (16x²+16x+4)(5x+4)
V= π(80x³+144x²+84x+16)
V= 251.33x³ +452.39x²+263.89x+50.27

4 0

3 years ago