If the perimeter of the bedroom is 42 feet and the length what is the width of the bedroom

Which choice is equivalent to the quotient shown here when x is greater than or equal to 0?

Dima020 [189]

Answer: OPTION C

Step-by-step explanation:

Remember that:

$\sqrt[n]{a^n}=a$

And the Product of powers property establishes that:

$a^m*a^n=a^{(mn)}$

Rewrite the expression:

$\frac{\sqrt{18x} }{\sqrt{32} }$

Descompose 18 and 32 into their prime factors:

$18=2*3*3=2*3^2\\32=2*2*2*2*2=2^5=2^4*2$

Substitute into the expression, then:

$\frac{\sqrt{(2*3^2)x} }{\sqrt{2^4*2} }$

Finally,simplifying, you get:

$\frac{3\sqrt{(2)x} }{2^2\sqrt{2} }=\frac{3\sqrt{2x}}{4\sqrt{2}}=\frac{(3)(\sqrt{x})(\sqrt{2})}{(4)(\sqrt{2})}= \frac{3\sqrt{x}}{4}$

8 0

2 years ago

40.00 jeans 20% discount

Svetllana [295]

20(40)
$\frac{20}{100}$ = 0.2
0.2(40) = 8

After price: $32.00
But, you save: $8

4 0

2 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

2 years ago

Mary has 4 flower pots with 4 different designs. She likes to display them on her window sill. How many different ways can she d

xenn [34]

She can display them 16 different ways.

8 0

3 years ago

Read 2 more answers

Calculate the slope of the points (-2, -1) and (3, 4). Show all of your work.

LiRa [457]

Slope formula;

m = y2 - y1/ x2 - x1 (-2, -1), (3, 4)

m = 4 - (-1)/ 3 - (-2)

m = 5/5

m = 1

the slope is 1.

hope this helps, God bless!

8 0

3 years ago