All categories

3 years ago

What is (2+y)³ written out?

1 answer:

7 0

(2x + y)³
(2x + y)(2x + y)(2x + y)
(2x(2x + y) + y(2x + y))(2x + y)
(2x(2x) + 2x(y) + y(2x) + y(y))(2x + y)
(4x² + 2xy + 2xy + y²)(2x + y)
(4x² + 4xy + y²)(2x + y)
4x²(2x + y) + 4xy(2x + y) + y²(2x + y)
4x²(2x) + 4x²(y) + 4xy(2x) + 4xy(y) + y²(2x) + y²(y)
8x³ + 4x²y + 8x²y + 4xy² + 2xy² + y³
8x³ + 12x²y + 6xy² + y³

You might be interested in

Select Repeating or Nonrepeating to correctly classify each decimal. Repeating Nonrepeating 7.777777... 6.213 KON 5.1152535 4.04

mash [69]

Answer:

repeating non repeating non repeating non repeating

Step-by-step explanation:

7 0

3 years ago

Find the slope and y-intercept of the line that is

Vlad [161]

Remark

Perpendicular slopes are found by using the formula m1*m2 = - 1. That is followed by using the given point to determine the y intercept.

Solution

Step One

Find the slope of the new line

m1 = - 1/3

m2 = ??

m1 * m2 = - 1

(-1/3) * m2 = - 1

You could continue by changing (-1/3) to a decimal.

(-0.3333333333) * m2 = -1 Now divide by the decimal

m2 = - 1/ (-0.3333333333)

m2 = 3 which is what my calculator tells me the answer is.

Step Two

So far what you have is

y = 3x + b

Use the point (-3, -7) to get the y intercept.

-7 = 3(-3) + b

b - 9 = - 7

b = -7 + 9

b = 2

y = 3x + 2 Answer

Graph

The graph shown below is both lines plotted in desmos. The red line is y = 3x + 2 which is perpendicular to the given graph y = (-1/3)x +5 which is in blue.

The green dot is the point (-3 , - 7)

3 0

3 years ago

What is a composite number ?? pls help ☺️

Sonja [21]

Answer:

composite numbers are numbers that can be divided by other numbers and itself.

Step-by-step explanation:

6 0

3 years ago

Megan is planting a garden with two beds with her mother and father. Megan can plant 1 garden bed in 8 hours. Her mother can pla

olganol [36]

Answer:

$1.5\text{ hours}$

Step-by-step explanation:

We know that Megan can plant 1 garden bed in 8 hours. Let M represent Megan's rate. So:

$M=\frac{1\text{ b}}{8\text{ hr}}$

We know that her mother can plant 2 garden beds in that time (8 hours). Let A represent the mother's rate. So:

$A=\frac{2\text{ b}}{8\text{ hr}}=\frac{1\text{ b}}{\text{ 4hr}}$

We can reduce this to 1 flower bed every 4 hours.

We also know that Megan's father can plant 1 1/3 or 4/3 garden beds in 8 hours. Let D represent the father's rate. So:

$D=\frac{4/3 \text{ hr}}{8 \text{ hr}}=\frac{1\text{ b}}{6\text{ hr}}$

We can reduce (4/3)/8 to 1/6.

We know that the three began working together. They worked together for 3 hours. So, after 3 hours, the amount of beds they planted all together is 3 hours times their respective rates. So, we can write the following expression:

$3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})$

We know that at this point, Megan's father left, leaving only Megan and her mother. We know that they worked together for another 30 minutes, or 1/2 of an hour. So, after this, they will have planted:

$3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})$

Garden beds.

Now, Megan's mother leaves, leaving only Megan. Let's let x represent the number of hours. So, we can write the last part of our expression:

$3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})$

We know that in the end, they planted 2 flower beds. So, our entire expression equals 2:

$3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})=2$

To find out how long it took Megan, we will solve for x.

Let's do each term individually:

First Term:

We have:

$3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})$

Make the fractions with common denominators. Our common denominator here is 24. So:

$3(\frac{3}{24}+\frac{6}{24}+\frac{4}{24})$

Add:

$=3(\frac{13}{24})$

Multiply. So, our first term is:

$=\frac{39}{24}$

Second Term:

We have:

$\frac{1}{2}(\frac{1}{8}+\frac{1}{4})$

Again, let's turn the fractions into fractions with common denominators so we can add them. The common denominator here is 8. So:

$\frac{1}{2}(\frac{1}{8}+\frac{2}{8})$

Add:

$=\frac{1}{2}(\frac{3}{8})$

Multiply:

$=\frac{3}{16}$

So, our equation is now:

$\frac{39}{24}+\frac{3}{16}+\frac{1}{8}x=2$

Add on the left. Use the common denominator of 48. So:

$\frac{78}{48}+\frac{9}{48}+\frac{1}{8}x=2$

Add:

$\frac{87}{48}+\frac{1}{8}x=2$

Subtract 87/48 from both sides:

$\frac{1}{8}x=2-\frac{87}{48}$

Let turn into a fraction with a denominator of 48. So:

$\frac{1}{8}x=\frac{96}{48}-\frac{87}{48}$

Subtract:

$\frac{1}{8}x=\frac{9}{48}$

Reduce the right using 3:

$\frac{1}{8}x=\frac{3}{16}$

Multiply both sides by 8:

$x=\frac{24}{16}$

Reduce using 8. So, the time it will take Megan to finish planting the garden beds by herself is:

$x=3/2=1.5\text{ hours}$

And we're done!

3 0

4 years ago

Before they graduate from Great Lakes High School, all 12th grade students fill out a survey about their future college plans. A

mamaluj [8]

Answer:

178/662

Step-by-step explanation:

The information given is presented and summarised in the table below. $\left|\begin{array}{c|c|c|c}&$Attending an &$Not Attending an&$Total\\&$In-State College&$In-State College\\--&--&--&--\\$Begin&178&21&199\\$Won't Begin&301&162&463\\--&--&--&--\\$Total&479&183&662\end{array}\right|$

(a)The probability that a student will begin college during the summer semester and attend an in-state college.

P(a student will begin college during the summer semester and attend an in-state college) $= 178/662$

8 0

3 years ago