What is the standard form equation of the line shown below?

Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?

natima [27]

Answer:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}$

Step-by-step explanation:

The question is poorly formatted. The original question is:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7$

We have:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7$

Open bracket

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

Express 8 as 2^3

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

Express 2^3 as 8

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}$

Expand each exponent

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}$

Split

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}$

Factorize

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}$

4 0

3 years ago

Read 2 more answers

Students in Mrs. Becker's class and Mr. Rolland's class sold boxes of popcorn for

saveliy_v [14]

Answer:

Please write the question in a more simple form wheras it shall be easier to answer.

Step-by-step explanation:

4 0

3 years ago

At a banquet hall, each table requires 18 plates. The kitchen has 387 plates available. How many full tables can be set?

N76 [4]

21 full tables because if you divide the amount of plates you have by the amount of plates needed for each table you’ll get 21.5 but they asked for full tables so that would be 21

7 0

3 years ago

A line passes through (8,-4) and has slope 2/3. What is an equation in point slope form of the line? An equation of the line is?

QveST [7]

Answer:

The point slope form of the line would be y + 4 = 2/3(x - 8) and the equation of the line would be y = 2/3x - 28/3

Step-by-step explanation:

To find the point-slope form of the line, start with the base form of point-slope form. Then input the point we have and the slope in the appropriate places.

y - y1 = m(x - x1)

y - -4 = 2/3(x - 8)

y + 4 = 2/3(x - 8)

Now to find the slope intercept form, you simply need to solve for y.

y + 4 = 2/3(x - 8)

y + 4 = 2/3x - 16/3

y = 2/3x - 28/3

3 0

3 years ago

What is the y-coordinate of the plotted point?

Nana76 [90]

Answer:

(3,2)

Step-by-step explanation:

run before you jump

3 0

2 years ago

Read 2 more answers