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ASHA 777 [7]
2 years ago
9

Timmy goes to the Funland Fair with $30, but each time he goes on a ride it costs him $5. Meanwhile Victor goes to the Amusement

World Park with $50, but each of his rides cost $10.
Write a linear equation for Timmy and the Funland Fair:

Write a linear equation for Victor and the AmusementWorld Park

After how many rides will they have the same amount of money left? How much money will they have?

Using your answer from above, write this information as an ordered pair:
Mathematics
1 answer:
Naddika [18.5K]2 years ago
5 0

Answer:

khg.khv.hvb.

Step-by-step explanation:

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I NEED HELP WITH QUESTION PLEASE!!<br> What is the inverse of f(x)<br> (x) = (x-4)² for x ≥ 4?
goblinko [34]

Answer:

4th choice \bold{f^{-1}(x) = \sqrt{x} + 4}

Step-by-step explanation:

<u>Definition of the inverse of a function</u>

A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x. The domain of f becomes the range of g and the range of f becomes the domain of g

To solve for the inverse of the function f(x) =\left(x-4\right)^2

Let y=\left(x-4\right)^2

\mathrm{Replace}\:x\:\mathrm{with}\:y \text{ and replace }\:y\:\mathrm{with}\:x

x=\left(y-4\right)^2

Switch sides
\left(y-4\right)^2=x

Take square roots on both sides
y-4=\pm\sqrt{x}

Add 4 on both sides to solve for y

y = \pm\sqrt{x} + 4

We have two solutions

y=\sqrt{x}+4,\:y=-\sqrt{x}+4

To determine which one of these to be chosen not that in the given choices we can eliminate the first two since x cannot be negative

The third choice can also be eliminated since
-\sqrt{x} + 4 is a decreasing function for x \ge 0

So the last answer choice is correct and the inverse off(x) = (x-4)^2

is given by  f^{-1}(x) = \sqrt{x} + 4

Answer:4th choice \bold{f^{-1}(x) = \sqrt{x} + 4}

Note

Domain of  (x-4)² is [4, ∞) since x ≥ 4 and (x-4)²  cannot be negative

Range of (x-4)²  is [0,  ∞)

Domain of \sqrt{x}\:+\:4 is [0, ∞)

Range of \sqrt{x}\:+\:4 is [4, ∞)

so indeed the domain of (x-4)² has become the range of \sqrt{x}\:+\:4 and the range of (x-4)² has become the domain of \sqrt{x}\:+\:4

5 0
1 year ago
Find each sum or difference for 381 1/10 -214 43/100
BartSMP [9]

Answer:

The circled part is the answer.

6 0
2 years ago
Read 2 more answers
Find the angle that the line through the given pair of points makes with the positive direction of the x-axis
Allisa [31]

Answer:

The answer to your question is Ф = 45°

Step-by-step explanation:

Data

A (1, 4)

B (-1, 2)

Process

1.- Find the slope of the line

formula

m = \frac{y2 - y1}{x2 - x1}

Substitution

m = \frac{2 - 4}{-1 - 1} = \frac{-2}{-2} = 1

Slope definition, is the steepness of a line and also is the tangent of the angle of the line.

                          tangent Ф  = slope

                          tangent Ф = 1

                                        Ф = tangent⁻¹ 1

                                        Ф = 45°

4 0
3 years ago
Read 2 more answers
What is the value of x?
mariarad [96]
X by itself is 1, otherwise it is the number to the left
4 0
3 years ago
Read 2 more answers
100-point Question!!!
FrozenT [24]

Answer:

Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.

h(x) = f(x) + g(x)h(x)=f(x)+g(x) h(x) = f(x) - g(x)h(x)=f(x)−g(x)

h(x) = \frac{f(x)}{g(x)}h(x)=

g(x)

f(x)

h(x) = f(g(x))h(x)=f(g(x))

And many more.

The approach or formula to use depends on the question.

In this case, the combined function is:

f(x) = 75+ 10xf(x)=75+10x

The savings function is given as

s(x) = 85s(x)=85

The allowance function is given as:

a(x) = 10(x - 1)a(x)=10(x−1)

The new function that combined his savings and his allowances is calculated as:

f(x) = s(x) + a(x)f(x)=s(x)+a(x)

Substitute values for s(x) and a(x)

f(x) = 85 + 10(x - 1)f(x)=85+10(x−1)

Open bracket

f(x) = 85 + 10x - 10f(x)=85+10x−10

Collect like terms

mark as brainiest

f(x) = 85 - 10+ 10xf(x)=85−10+10x

f(x) = 75+ 10xf(x)=75+10x

4 0
2 years ago
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