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AnnyKZ [126]
3 years ago
5

Larry is buying a new video game that costs $35 plus 7% sales tax. How much will he pay for the video game with tax?

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0
The answer is 37.45
Explanation:
.07x35=2.45 2.45+35=37.45
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Determine whether the statements are True or False. Justify your answer with an explanation.
frez [133]

Problem 1

<h3>Answer: False</h3>

---------------------------------

Explanation:

The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.

So,

f(x) = x+1

f( g(x) ) = g(x) + 1 .... replace every x with g(x)

f( g(x) ) = 6x+1 ... plug in g(x) = 6x

(f o g)(x) = 6x+1

Now let's flip things around

g(x) = 6x

g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)

g( f(x) ) = 6(x+1) .... plug in f(x) = x+1

g( f(x) ) = 6x+6

(g o f)(x) = 6x+6

This shows that (f o g)(x) = (g o f)(x)  is a false equation for the given f(x) and g(x) functions.

===============================================

Problem 2

<h3>Answer: True</h3>

---------------------------------

Explanation:

Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.

For example, let

f(x) = 1/(x+2)

g(x) = -2

The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.

So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).

7 0
3 years ago
Greatest common factor <br>3a^3+9a^2​
BaLLatris [955]

Answer:

27A+81A =108

Step-by-step explanation:

7 0
3 years ago
The length of the rectangular tennis court at wimbledon is 6 feet longer than twice the width. if the court's perimeter is 240 f
KATRIN_1 [288]

Length (L): 2w + 6

width (w): w

Perimeter (P) = 2L + 2w

               240 = 2(2w + 6) + 2(w)

               240 = 4w + 12 + 2w

               240 = 6w + 12

               228 = 6w

                 38 = w

Length (L): 2w + 6   = 2(38) + 6   = 76 + 6   = 82

Answer: width = 38 ft, length = 82 ft

8 0
3 years ago
If the base of a square pyramid is 9 centimeters, and it has a volume of 324 cubic centimeters, what is the height of the pyrami
masha68 [24]

A

The volume (V) of a pyramid is found using the formula

V = \frac{1}{3} × area of base × height(h)

area of base = 9² = 81 ← area of a square, hence

324 = \frac{1}{3} × 81 × h = 27h ( divide both sides by 27 )

h = \frac{324}{27} = 12 → A



3 0
3 years ago
What are the slope and the y-intercept of the linear function that is represented by the table?
uranmaximum [27]

Answer:

x y Negativo tres cuartos Negativo

Step-by-step explanation:

3 0
3 years ago
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