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34kurt
2 years ago
10

F(x) = 3x + 12, g(x) = 3x - 1; = = Find (fºg)(x).

Mathematics
1 answer:
MissTica2 years ago
3 0

\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)

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A store is having a sale in which all items are reduced by 20%. Including tax, Jennifer paid $21 for a pair of shorts. If the sa
Tju [1.3M]

Answer: the original price of the shorts was $25

Step-by-step explanation:

Let x represent the original price of the shorts.

The store is having a sale in which all items are reduced by 20%. This means that the amount of discount on the shorts is

20/100 × x = 0.2x

The price of the shorts would be

x - 0.2x = 0.8x

If the sales tax is 5%, then the amount of sales tax charged is

5/100 × 0.8x = 0.04x

The final cost of the shorts would be

0.8x + 0.04x = 0.84x

Including tax, Jennifer paid $21 for a pair of shorts. This means that

0.84x = 21

x = 21/0.84

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5 0
3 years ago
HELP ASAP (MATH)
alexdok [17]

PART - A : tent - 1 volume = 400 cubic ft

Tent -2 volume = 384 cubic ft.

PART - B : I recommend Joe to make the tent -1 with base 10x10 ft. as it has more volume

<u>Step-by-step explanation:</u>

PART - A:

tent 1 :

 Base = 10 x 10ft

 Height= 12 ft

 Volume = (1/3) (10x 10) (12)

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= 400 cubic ft.

Tent 2:

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PART - B:

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8 0
3 years ago
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Dahasolnce [82]

Step-by-step explanation:

The area, A, in square yards, of a rectangular garden, is given by the function.

A(x)=-2x^2+30x

We know that, the area of the rectangle is given by :

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A=-2x^2+30x\\\\A=2x\times (-x+15)

Length = 2x

Breadth = (15-x)

For zeoes,

2x\times (-x+15)=0\\\\x=15

Length = 15 yards

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Hence, this is the required solution.

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2 years ago
GEOMETRY: Find JL of the line.
Yuliya22 [10]

Answer:

JL = 31

Step-by-step explanation:

JL is the total length of the line segment. We know that JK is 15 units long and that KL is 16 units long. So, you would add these numbers (15 & 16) together to get the total length of the line segment. Hope this helps! :)

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3 years ago
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Sergio [31]

Answer:

1 is the answer

Step-by-step explanation:

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2 years ago
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