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2 years ago

15

The total cost for attending the rodeo carnival can be found using the function f(x) = 2.25x + 18, where x is the number of food

tickets purchased. If a family
purchases between 4 and 8 food tickets, what is the domain and range of this situation?

1 answer:

Ksju [112]2 years ago

6 0

Answer:

domain is {4,5,6,7,8}, range is the other numbers in brackets

Step-by-step explanation:

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If you purchase a dozen bagels, you save 10% If a dozen bagels originally costs $11.50, what is the sale price

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3 years ago

Which ratio it's less then 7/9 I need help ASAP

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Answer:

7/9

Step-by-step explanation:

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3 years ago

8. If BD=BC, BD = 5x -26, BC = 2r + 1, and AC = 43, find AB.

charle [14.2K]

Answer:

24

Step-by-step explanation:

BD=DC

5x-26=2x+1

5x-2x=1+26

3x=27

x=9

BC=2x+1

=2*9+1

BC =19

so AB=AC-BC

AB=43-19

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3 years ago

The one-to-one functions g and h are defined as follows

Debora [2.8K]

Answer:

$g^-^1(x)=-8$

$h^-^1(x)=\frac{x-4}{3}$

$(h^-^1 \ o\ h)(-3)=-3$

Step-by-step explanation:

When given the following functions,

$g=[(-2,-7),(4,6),(6,-8),(7,4)]$

$h(x)=3x+4$

One is asked to find the following,

1. Question 1

$g^-^1(4)$

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

$g^-^1(4)$

$g(4)=6\\g(6)=-8\\g^-^1(4)=-8$

2. Question 2

$h^-^1(x)$

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

$h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)$

$h^-^1(x)=\frac{x-4}{3}$

3. Question 3

$(h^-^1 \ o\ h)(-3)$

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ( $h^-^1$ ) and simplify. Then substitute (-3) into the result.

$h^-^1\ o\ h$

$\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x$

Now substitute (-3) in place of (x),

$=-3$

8 0

3 years ago