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masha68 [24]
3 years ago
11

F(x) = x + 2

Mathematics
1 answer:
kow [346]3 years ago
6 0

Answer:

  (fg)(x) = x^2 -2x -8

Step-by-step explanation:

(fg)(x) = f(x)·g(x) = (x +2)(x -4)

  = x(x -4) +2(x -4) = x^2 -4x +2x -8

  = x^2 -2x -8 . . . . matches the 3rd choice

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What is the circumference of a circle that has a radius of 17 cm
Effectus [21]

Answer:

106.8

Step-by-step explanation:

17 * 2 = 34

34 * pi = 106.8

6 0
3 years ago
A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a hieght of 3 inches. The cone has a radiu
arlik [135]

The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

Step-by-step explanation:

The given is,

          A cylinder and a cone have the same volume

          Cylinder has a radius 2 inches and height of 3 inches.

          Cone has a radius of 3 inches

Step:1

           For Cylinder'

           Formula to calculate the volume of cylinder is,

                        V = \pi r^{2} h..................................................(1)

          where,

                      r - 2 inches

                      h - 3 inches

         From the equation (1)

                           = \pi × 2^{2} × 3

                           = 37.70

                        V = 37.70 cubic inches

Step:2

         For cone,

         Formula to calculate the volume of cone is,

                     V = \pi r^{2} \frac{h}{3}..................................................(2)

         From the statement,

                      cylinder and a cone have the same volume

                      V_{cylinder} = V_{cone}

                          37.70 = \pi × 3^{2} × \frac{h}{3}

                          37.70 = 9.42478 × h

Height of the cone, h = 4 inches

Result:

            Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

4 0
2 years ago
Fill in the blank. In the triangle below, x= Round your answer to two<br> decimal places.
Marta_Voda [28]

Answer:

The answer is 44.80 degrees

Step-by-step explanation:

First you want to find z

z = 180-(52+90)=38

and then try to determine which formula will try to give you x = Tan

Tan = Opposite/ Adjacent

Tan(38)=35/x

x=35/Tan(38)

x=44.80

6 0
2 years ago
Find the length of Radius?
zloy xaker [14]

Answer:

0.5

Step-by-step explanation:

7 0
2 years ago
HELP ME PLEASE!!
LUCKY_DIMON [66]

Using a system of equation, we have that:

a)

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

b)

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

Item b:

On-site service costs <u>3 times as much as at-store service</u>, thus:

x = 3y

By mail service costs <u>$10 less than at-store</u>  service, thus:

z = y - 10

Last week, the shop completed <u>15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100</u>, thus:

15x + 40y + 5z = 3100

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

Item c:

  • The cost of one on-site repair service is x.
  • First, replacing the first two equations into the third, we find y, and then with it we find x.

15x + 40y + 5z = 3100

15(4y) + 40y + 5(y - 10) = 3100

60y + 40y + 5y = 3150

105y = 3150

y = \frac{3150}{105}

y = 30

Then

x = 3y = 3(30) = 90

The cost of one on-site repair service is of $90.

A similar problem is given at brainly.com/question/24823220

3 0
2 years ago
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