All categories

3 years ago

Rewrite the expression in the picture in the form k times x^n.

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Answer:

8 x^-2

Step-by-step explanation:

2 sqrt(x) * 4x ^ -5/2

Rewriting

2 x^1/2 * 4x ^ -5/2

2*4 = 8

x^1/2 * x^ -5/2

We know a^b * a^c = a^(b+c)

x^ 1/2 * x^ -5/2 = x^ (1/2 -5/2 ) = x^ (-4/2) = x^-2

8 x^-2

You might be interested in

X y

xz_007 [3.2K]

Answer:

If x = 3y and 3y = x, then y = 1/3x.

3 0

3 years ago

Change this standard form equation into slope intercept form, then name the slope and the y-intercept.

vodomira [7]

Haha, part of my final today was about this! Don't worry, I got you!
y=2/3x-4

(the 2/3 is supposed to be a fraction)

5 0

3 years ago

{ x - 3y= -3 & x + y= 5 We are to use the graph to solve the given system of equations, then enter your solution below. I ge

nasty-shy [4]

Answer:

Solution: (3, 2)

Step-by-step explanation:

It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.

x - 3y = -3

-3y = -x - 3

Divide both sides by -3:

$\frac{-3y}{-3} = \frac{-x - 3}{-3}$

y = 1/3x + 1

where slope = 1/3

y-intercept = 1

x + y = 5

Subtract x from both sides to isolate y:

x - x + y = - x + 5

y = -x + 5

where slope = -1

y-intercept, 5

I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, x - 3y = -3 is the blue line, while x + y = 5 is the green line. Their intersection occurs at point, (3, 2).

Therefore, the solution is (3, 2).

Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0

3 years ago

Monica has a 24-inch square frame. There are 4 equal sides. She paints 3/4 of one side of the frame blue. What fraction of the f

IgorC [24]

Answer:

3/16

Step-by-step explanation:

Monica has a 24-inch square frame.

There are 4 equal sides.

Hence, length of each side=24/4 inch

= 6 inch

She paints 3/4 of one side of the frame blue.

i.e. she paints $\dfrac{3}{4}\times 6$ inch

Total part to be painted=24 inch

Hence, fraction of the frame Monica painted blue is:

$\dfrac{3\times 6}{4\times 24}\\ \\= \dfrac{3}{16}$

4 0

3 years ago

Read 2 more answers

Find the area of the kite

Elanso [62]

For this case we have that the area of the kite is given by the area of two triangles, the triangles share the same base of 3 + 3 = 6 meters and one has height of 2m and the other height of 4m.

So, the total area is given by:

$A = \frac {1} {2} * 6 * 2 + \frac {1} {2} * 6 * 4\\A = \frac {1} {2} 12+ \frac {1} {2} *24\\A = 6 + 12\\A = 18$

Thus, the area of the kite is $18m ^ 2$

ANswer:

$18m ^ 2$

3 0

3 years ago