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2 years ago

Which expression has a positive quotient?

Mathematics

2 answers:

Tju [1.3M]2 years ago

7 0

A because two negatives make a positive

Kisachek [45]2 years ago

6 0

Answer:

Yes it is A

Step-by-step explanation:

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F(x)=√x+11. Find the inverse of f(x).

MaRussiya [10]

Answer:

f(x)⁻¹ = (x - 11)²

Step-by-step explanation:

To find the inverse of the function, you need to (1) swap the places of the "x" and "y" variables and then (2) solve for "y". Remember, f(x) is another way of writing "y".

y = √x + 11 <----- Original equation

x = √y + 11 <----- Swap variables

x - 11 = √y <----- Subtract 11 from both sides

(x - 11)² = (√y)² <----- Square both sides

(x - 11)² = y <----- Simplify

Another way of writing the output of an inverse function is with f(x)⁻¹.

5 0

2 years ago

What times what give you 33

Tcecarenko [31]

Answer:

11x3

Step-by-step explanation:

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3 years ago

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What is 0.09 rounded to the nearest whole number?

ZanzabumX [31]

0.09 = 0.00 because 0 in the tenths is nearer to the 0 than the next number or digit :)

6 0

3 years ago

Read 2 more answers

What is 3584858568 x 568495938583

Ghella [55]

Answer:2.0379775363024693e+21

Step-by-step explanation:

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3 years ago

A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo

Arada [10]

Answer:

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

$y - k = C \cdot (x-h)^{2}$

Where:

$h$ - Horizontal component of the vertix, measured in inches.

$k$ - Vertical component of the vertix, measured in inches.

$C$ - Parabola constant, dimensionless. (Where vertix is an absolute maximum when $C < 0$ or an absolute minimum when $C > 0$ )

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

$V (x,y) = (0, 32)$ (Vertix)

$A (x, y) = (-28, 0)$ (x-Intercept)

$B (x,y) = (28. 0)$ (x-Intercept)

The following equation are constructed from the definition of a parabola:

$0-32 = C \cdot (28 - 0)^{2}$

$-32 = 784\cdot C$

$C = -\frac{2}{49}$

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

$y -32 = -\frac{2}{49} \cdot x^{2}$