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3 years ago

Which equation is the inverse of y = 100 - x??

Mathematics

1 answer:

denis-greek [22]3 years ago

4 0

For this case we must find the inverse of the following function:

$y = 100-x$

To do this, we follow the steps below:

We exchange the variables:

$x = 100-y$

We clear the variable "x" (the variable is already cleared):

$x = 100-y$

We change "x" to "y":

$y = 100-x$

We change y for $f^{-1}(x)$ :

$f^{-1} (x) = 100-x$

ANswer:

$f^{-1} (x) = 100-x$

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Vesnalui [34]

Answer:

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8 0

3 years ago

Read 2 more answers

A firework is fired into the air from the top of a barn. Tis hight (h) above the ground in yards after (t) seconds is given by t

Grace [21]

The given function for the height of the firework is a quadratic function

1. Time at which the firework reaches the maximum height is 1 seconds

2. The maximum height of the firework, is 25 yards

3. Time after which the firework will fall to the ground is (1 + √5) seconds

Reason:

The given function that represents the height of the fireworks with time is

presented as follows;

h(t) = -5·t² + 10·t + 20

1. The time at which the firework reaches its maximum height is given by

the maximum point of the given function as follows;

The x-value of the maximum point of a quadratic function is $x = \dfrac{b}{2 \cdot a}$

Where;

a, and b, are the coefficient of x² and x, in the general form of a quadratic function f(x) = a·x² + b·x + c

By comparison, we have;

$t = -\dfrac{10}{2 \times (-5)} = 1$

The time at which the firework reaches the maximum height is t = 1 seconds

2. The maximum height is given by plugging in the value of t, at the maximum point into the given function as follows;

h(1) = -5×1² + 10×1 + 20 = 25

The maximum height of the firework, f(1) = 25 yards

3 The time at which the firework will fall to the ground, is given by the zero of the function as follows;

When the firework falls to the ground, h(t) = 0 = -5·t² + 10·t + 20

Dividing both sides by (-5) gives;

$\dfrac{0}{-5} = \dfrac{ -5 \cdot t^2 + 10 \cdot t + 20}{-5} = t^2 - 2 \cdot t - 4$

t² - 2·t - 4 = 0

By the quadratic formula $x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$ , we get;

$t = \dfrac{2\pm \sqrt{(-2)^{2}-4\times 1\times (-4)}}{2\times 1} = \dfrac{2\pm \sqrt{20}}{2\times 1} = \dfrac{2\pm 2 \times \sqrt{5}}{2\times 1} = 1 \pm \sqrt{5}$

Therefore;

The time after which the firework will fall to the ground, t = 1 + √5 seconds

Learn more here:

brainly.com/question/20628403

3 0

3 years ago

PLZ HELP ME I WILL GIVE BRAINLIST

elena-14-01-66 [18.8K]

Answer:

it is c

Step-by-step explanation:

3 0

3 years ago

Pat wants to enter a typing contest. In order to enter, one has to be able to type t0 words per minute. Pat took 15 seconds to t

galben [10]

No, because he can only type 40 words a minute

5 0

3 years ago

A circle is drawn within a square as shown.

Yakvenalex [24]

As it is shown in the figure, the length of the square's side s is also the length of the circle's diameter d:

s = d = 28 in.

• Computing the area of the square:

A₁ = s²

A₁ = 28²

A₁ = 28 × 28

A₁ = 784 in² ✔

• Computing the area of the circle:

A₂ = π × r²

A₂ = π × (d/2)²

A₂ = π × (28/2)²

A₂ = π × 14²

A₂ ≈ 3.14 × 14 × 14

A₂ ≈ 615.44 in² ✔

—————

• The area of the shaded portion is equal to the difference between the area of the square and the area of circle:

A = A₁ – A₂

A ≈ 784 – 615.44

A ≈ 168.56 in² <——— this is the answer (1st option).

I hope this helps. =)

8 0

3 years ago