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Genrish500 [490]
3 years ago
10

Verify that f and g are inverses functions f(x)=x+6, g(x)=x-6

Mathematics
1 answer:
Hatshy [7]3 years ago
8 0
Yes they are inverses
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A triangle has sides that measure 5cm, 12 cm and 13cm. What type of triangle is it?
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a figure has been dilated by a scale factor of 2. which transformation could be used to prove the figures are similar using the
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Ritchie got a job at the movie theater. On the first day, he sold 5 adult tickets and 7 children tickets for a total of 104. On
g100num [7]

Answer:

  • adult: $11
  • children: $7

Step-by-step explanation:

The sales on the two days can be expressed using equations that can be solved for ticket prices.

<h3>Setup</h3>

Let x and y represent the prices of adult and children's tickets, respectively. Then the sales revenue for the two days can be expressed in the equations ...

  • 5x +7y = 104
  • 7x +3y = 98

<h3>Solution</h3>

One of the easiest solution methods is to use a graphing calculator. The first attachment shows the prices are $11 for an adult ticket; $7 for children tickets.

Using the matrix functions of a calculator, the augmented matrix of the equation coefficients can be reduced to row-echelon form. This, too, shows the solution to be (adult price, children price) = ($11, $7). See the second attachment. (The solution is the right-most column of the reduced matrix.)

Yet another solution method can use the coefficients from the equations written in general form:

  • 5x +7y -104 = 0
  • 7x +3y -98 = 0

In this form, we define three products of "cross multiplication":

  Δ1 = (5)(3) -(7)(7) = -34

  Δ2 = (7)(-98) -(3)(-104) = -374

  Δ3 = (-104)(7) -(-98)(5) = -238

Using those, we find the variable values to be ...

  x = Δ2/Δ1 = -374/-34 = 11

  y = Δ3/Δ1 = -238/-34 = 7

(adult price, children price) = ($11, $7)

__

You can read more about the cross-multiplication method here:

brainly.com/question/26397343

6 0
1 year ago
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A company uses the function C(x)=20.50+2000, where C is the cost and x is the number of units it produces, to determine its dail
Kipish [7]
You left it out, but I'm thinking that there must be an 'x' next to the '20.50' in the function.  I'm so sure of it that I'll assume it, as I proceed to answer the question:

C(x) = 20.50x + 2,000

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Divide each side by  20.50 :        x  =  (C - 2,000) / 20.50

When C = $625,000 . . .

x = (625,000 - 2,000) / 20.50  =  623,000 / 20.50  =  30,390.2439

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2 years ago
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