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3 years ago

Which represents the inverse of the function f(x) = 4x?

Mathematics

2 answers:

Licemer1 [7]3 years ago

3 0

Answer:

The inverse is 1/4x

Step-by-step explanation:

y = 4x

To find the inverse, exchange x and y

x = 4y

Solve for y

1/4 x = 4y/4

1/4x = y

The inverse is 1/4x = y

aliina [53]3 years ago

3 0

Answer:

y = x/4

Step-by-step explanation:

y = 4x

x = 4y

y = x/4

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How to divide mixed numbers? and multiply fractions

Marina86 [1]

To divide mixed number, convert to improper fractions and divide them
(a/b)/(c/d)=(a/b)(c/d)=(ac)/(bd)

to multiply fractions, multily top by top and bottom by bottom

(a/b)(c/d)=(a times c)/(b times d)

4 0

4 years ago

Read 2 more answers

How many base pieces 8 1/4 inches long and 8 1/4 inches wide can Mr. Penny cut from a wooden plank 4 1/8 feet long and 4 1/8 fee

podryga [215]

Answer:

36 pieces

Step-by-step explanation:

4 1/8 ft x 4 1/8 ft = 49.5 in x 49.5 in = 2450.25 in^2

8.25 in x 8.25 in = 68.06 in^2

2450.25/68.06 = 36 pieces

checking for scrap loss:

49.5/8.25 = 6

so no scrap loss

3 0

3 years ago

Rosalie is organizing a circus performance to raise money for a charity. She is trying to decide how much to charge for tickets.

Ray Of Light [21]

Answer:

she should charge $7.395 per ticket in order to make the most money.

Step-by-step explanation:

From the given information:

If Rosalie charges $5 then 1175 people will attend the circus performance

If Rosalie charges $7 then 935 people will attend the circus performance

Let x be the cost and y to be the number of people that will attend the performance . Then, we will have two points which are;

(5, 1175) and (7, 935)

The slope(m) of this points = $\dfrac{\Delta y}{\Delta x}$

= $\dfrac{y_2-y_1}{x_2-x_1}$

$=\dfrac{935-1175}{7-5}$

Slope (m) = $\dfrac{-240}{2}$

Slope (m) = -120

However; we can now have the linear equation:

$y-y_1 = m(x-x_1)$

$y-1175= -120(x-5)$

$y-1175= -120x+600$

$y= -120x+600+1175$

$y= -120x+1775$

The linear function is : y = -120x + 1775

Now; the total amount of money she can now earn is:

f(x) = xy

f(x) = x(-120x + 1775)

f(x) = -120x² + 1775x

The above expression is a quadratic equation; Using the quadratic formula; we have:

$=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$

where; a = -120 ; b = +1775 and c = 0

$=\dfrac{-(1775) \pm \sqrt{(1775)^2-4(-120)(0)}}{2(-120)}$

$=\dfrac{-(1775) + \sqrt{(1775)^2-4(-120)(0)}}{2(-120)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) -\sqrt{(1775)^2-4(-120)(0)}}{2(-120)}$

$=\dfrac{-(1775) + \sqrt{(1775)^2}}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) -\sqrt{(1775)^2}}{(-240)}$

$=\dfrac{-(1775) + (1775)}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) - (1775)}{(-240)}$

$=\dfrac{0}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-3550}{(-240)}$

= 0 OR 14.79

Since; we are considering the value greater than zero

x = 14.79

maximum value of x = 14.79/2 = 7.395

Thus ; she should charge $7.395 per ticket in order to make the most money.

6 0

3 years ago

Find the missing dimension of the triangle. A triangle with base labeled b, height labeled 6 feet, and height labeled 14 square

jarptica [38.1K]

Answer:

4.67 feet

Step-by-step explanation:

The computation of missing dimension of the triangle is given below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

14 = 1 ÷ 2 × base × 6

14 = 3 × base

So, the base is

= 14 ÷ 3

= 4.67 feet

Here we assume the area to be 14 square feet

6 0

3 years ago

10 ь, If d = 10 inches, c = 9 inches, b = 6 inches, and h = 5 inches, what is the area of the triangle above? A. 25 sq in. B. 15

MakcuM [25]

Answer:

D. 30 sq in.

Step-by-step explanation:

10+9+6+5=30 sq in.

6 0

3 years ago