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laila [671]
3 years ago
5

Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).

Mathematics
1 answer:
Stells [14]3 years ago
8 0

9514 1404 393

Answer:

  (g·f)(9) = 496

Step-by-step explanation:

One way to do this is to find the values of g(9) and f(9).

  g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248

  f(9) = -(9) +11 = 2

Then ...

  (g·f)(9) = g(9)·f(9) = 248·2

  (g·f)(9) = 496

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2(2x - 4) = 4(x - 2)<br> What is the solution
galben [10]

Answer: 0

Step-by-step explanation:

2(2x-4)=4(x-2) - Start off by diong distributive property on both sides

4x-8=4x-8 - Add 8 to both sides toget rid of it

4x=4x - Divide both sides by 4

0 = 0 - The 2 equations are equal therefore the answer is 0

Hope this helps!

4 0
3 years ago
Barney &amp; Noblet customers can choose to purchase a membership for $25 per year Members receive 10% off all store purchases
Law Incorporation [45]

Answer:

  1. $70
  2. y = 25 + 0.9x
  3. $250

Step-by-step explanation:

1. 10% of $50 is $5, so the purchases would come to $50 -5 = $45. Added to the $25 membership fee, the total cost for the year would be

  $45 +25 = $70

2. The member pays $25 even if no purchases are made. Then any purchases are 100% - 10% = 90% of the marked price. So, the total is ...

  y = 25 + 0.90x

3. $25 is 10% of $250, so that is the amount the member would have to purchase to break even on cost.

If you like, you can compare the cost without the membership (x) to the cost with the membership (25+.9x) and see where those costs are equal.

  x = 25 +0.9x . . . . . x is the spending level at which there is no advantage

  0.1x = 25 . . . . . . . . subtract 0.9x

  25/0.1 = x = 250 . . . divide by 0.1

4 0
3 years ago
Help with precal converting Cartesian equation to polar
MArishka [77]

Answer:

B

Step-by-step explanation:

For cartesian to polar transformation,

x = rcosA , y = rsinA.

Put in the values in the given equation. And (cosA)^2 - (sinA)^2 = cos(2A)

6 0
3 years ago
A new park was designed to contain two circular gardens. Garden A has a diameter of 50m and garden B has diameter of 70m if the
Novosadov [1.4K]

Answer:

  157

Step-by-step explanation:

The circumference of a circle with diameter d is given by ...

  C = πd

The circumference of a 50 meter circle will be ...

  C = π(50 m) ≈ 157.08 m

It will take about 157 meters of edging to outline the smaller garden.

7 0
3 years ago
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible c
nika2105 [10]

Answer:

about 16

Step-by-step explanation:

The natrual chance of getting 3 =

1/11

180/1 x 1/11

180/11 = 16.36

about 16 times

5 0
3 years ago
Read 2 more answers
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