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Marina86 [1]
4 years ago
12

Find (f°g)(x) f(x)=x^2-1, g(x)=3x-2

Mathematics
1 answer:
Bess [88]4 years ago
5 0
F°g(x) = (3x-2)² -1
= 3x(3x-2)-2(3x-2) -1
= 9x² -6x-6x+2-1
=9x²-12x+1
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tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylender. what is the volume of the area not occup
mina [271]

Answer:

The volume of the area not occupied by the tennis balls is 12.28 cubic inches.

Step-by-step explanation:

It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.

Radius of ball = Radius of can = \frac{2.5}{2}=1.25

Height of can = 2.5\times 3=7.5

The volume of sphere is

V=\dfrac{4}{3}\pi r^3

where, r is radius of sphere.

The volume of a tennis balls is

V=\dfrac{4}{3}\pi (1.25)^3

V=8.18123

V\approx 8.18

Volume of three tennis balls is

V_1=3\times 8.18=24.54

The volume of cylinder is

V=\pi r^2h

The volume of can is

V_2=\pi (1.25)^2(7.5)

V_2=36.81553

V_2\approx 36.82

The volume of the area not occupied by the tennis balls is

Volume = Volume of cylinder - Volume of three tennis balls

            = 36.82 - 24.54 = 12.28 inches

Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.

3 0
4 years ago
PLEASE SOMEONE HELP ASAP!!!!!
ikadub [295]
8x+6+4= 3x- 2x- 4 is the correct step
8 0
4 years ago
A diamond today cost ten dollars more than twice what it cost last year.The sum of the cost (last year and this year) is $2500.
nadya68 [22]

Answer:

The cost of the diamond last year is x = $ 830

Step-by-step explanation:

Let the cost of diamond last year = x

the cost of diamond present year = y

Given that diamond today cost ten dollars more than twice what it cost last year.

⇒ y = 2 x + 10  ------ (1)

The sum of the cost (last year and this year) is  = $ 2500

⇒ x + y = $ 2500 -------- (2)

Put the value of y in equation (2) from equation (1), we get

⇒ 2 x + 10 + x = $ 2500

⇒ 3 x = 2490

⇒ x = $ 830

& y = 2500 - 830

⇒ y = $ 1670

Therefore the cost of the diamond last year is x = $ 830

6 0
3 years ago
Si el dividendo es 800 el cociente es 160 y el residuo es 0 ¿cuál es el divisor?<br><br>ayudaaa ​
atroni [7]

Answer:

Él dividendo seria 5

Step-by-step explanation:

Por que si dividimos 800 ÷ 5 = 160 y no nos quedan residuos

ESPERO Y TE AYUDE ;)

5 0
3 years ago
Ima need help on this one pls do quick
pshichka [43]

Answer:

65

Step-by-step explanation:

The area of the square is 5^2=25 and the area of a single triangle is \frac{1}{2}(5)(4)=10.

The total area is the square plus the 4 triangles 25+4(10)=65

4 0
2 years ago
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