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3 years ago

I need help!!!! Which represents the inverse of the function f(x)=4x?

Mathematics

1 answer:

Mrac [35]3 years ago

4 0

Answer:

$h(x)=\frac{1}{4}x$ .

Step-by-step explanation:

The inverse is basically you just swapping x and y. People want to solve it for y to make it a function of x.

$y=4x$

Swap x and y:

$x=4y$

Now solve for y by dividing y on both sides:

$\frac{x}{4}=y$

$\frac{1}{4}x=y$

$y=\frac{1}{4}x$ .

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maria works as a florist and worked for 8 hours last week and earned 98$ at that rate how much will she earn this weekend if she

olga_2 [115]

$171.50

$98 ÷ 8 = $12.25 per hour

$12.25 x 14 = $171.50

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3 years ago

Read 2 more answers

Allowing 20% discount on the marked price. of 아 a watch, the value of the watch will be Rs. 2378. If the VAT of 10% is added, fi

Harrizon [31]

Answer:

The marked price of the watch is $2,702.27.

Step-by-step explanation:

Since allowing 20% discount on the marked price of a watch, the value of the watch will be Rs. 2378, to determine, if the VAT of 10% is added, it's marked price, the following calculation must be performed:

1 - 0.2 = 0.8

0.8 x 1.1 = 2378

0.88 = 2378

0.8 = X

0.8 x 2378 / 0.88 = X

1,902.4 / 0.88 = X

2,161.81 = X

0.8 = 2,161.81

1 = X

2,161.81 / 0.8 = X

2,702.27 = X

Therefore, the marked price of the watch is 2,702.27.

4 0

2 years ago

A person in a casino decides to play 3 games of blackjack. let w denote a win and l denote a loss. define the event a as "the pe

Ann [662]

Answer: The answer is {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.

Step-by-step explanation: Given that a person in the casino is going to play 3 games of blackjack. Here, 'w' denotes a win and 'l' denotes a loss.

Also, let 'A' be the event that the person wins at least one game of blackjack. Then, the outcomes of Event 'A' are

(i) win in 1st game loss in 2nd game loss in 3rd game

(ii) win in 1st game win in 2nd game loss in 3rd game

(iii) win in 1st game loss in 2nd game win in 3rd game

(iv) win in 1st game win in 2nd game win in 3rd game

(v) loss in 1st game loss in 2nd game win in 3rd game

(vi) loss in 1st game win in 2nd game loss in 3rd game

(vii) loss in 1st game win in 2nd game win in 3rd game

Thus, the outcomes of the event A are (w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l) and (l, w, w).

Thus, A = {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.

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2 years ago

Use the graph to the right to write an equation of the line. What is the equation?

Bingel [31]

Answer:

y = 1/4 x - 2

Step-by-step explanation:

To write the equation of a line, find from the line the slope and y-intercept. The y-intercept is where the line crosses the y-axis which here is at point (0,-2).

The slope of the line is found by writing a ratio between the vertical distance and the horizontal distance between points.

Slope is 1/4.

Substitute m = 1/4 and b = -2 into the slope intercept form y = mx + b.

y = 1/4 x - 2

5 0

3 years ago

match the steps to find the equation of the parabola with focus (-1, -8.75) and directrix y = - 9.25.

choli [55]

Answer:

The matched options to the given problem is below:

Step1: Choose a point on the parabola

Step2: Find the distance from the focus to the point on the parabola.

Step3: Use (x, y).

Find the distance from the point on the parabola to the directrix.

Step4: Set the distance from focus to the point equal to the distance from directrix to the point.

Step5: Square both sides and simplify.

Step6: Write the equation of the parabola.

Step by step Explanation:

Given that the focus (-1,2) and directrix x=5

To find the equation of the parabola:

By using focus directrix property of parabola

Let S be a point and d be line

focus (-1,2) and directrix x=5 respectively

If P is any point on the parabola then p is equidistant from S and d

Focus S=(-1,2), d:x-5=0]

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2 years ago