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3 years ago

Expand (x+3)(x+2) And can you explain how to do it

2 answers:

5 0

Just like the other person said, you distribute. An easy way to remember how is the FOIL method. First, Outside, Inside, Last.
So for F, you'd multiply x and x, making x^2. For O, you'd multiply the first x and the 2, which gives you 2x, then for I, multiply the 3 and the second x, and you get 3x from that. Finally, for the L, multiply the 3 and 2, which is 6.
When the whole thing is "foiled," you end up with
x^2 + 2x + 3x + 6.
To put it in its simplest form, combine like terms. In this case, the 2x and 3x.
When you're finished, the expanded form should look like
x^2 + 5x + 6.
I hope that helped!

DanielleElmas [232]3 years ago

3 0

You multiply the two together
x times x equals x squared ( x^2) the x times 2 which equals 2x, then multiply the 3 and x to get 3x and multiply 3 times 2 = 6
so now your problem looks like x[tex] x^{2} + 2x +3x +6 ( now combine like terms) which gives you x^{2} +5x +6, and thats the answer

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The ratio of the height of two similar pyramids is 4:7. The volume of the smaller pyramid is 1,331cm, to the nearest whole numbe

IRISSAK [1]

Answer:

The volume of the larger pyramid is equal to $7,133\ cm^{3}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

In this problem, the ratio of the height is equal to the scale factor

$z=\frac{4}{7}$

step 2

Find the volume of the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> volume of the smaller pyramid

y----> volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{4}{7}$

$x=1,331\ cm^{3}$

substitute

$(\frac{4}{7})^{3}=\frac{1,331}{y}\\ \\(\frac{64}{343})=\frac{1,331}{y}\\ \\y=343*1,331/64\\ \\y=7,133\ cm^{3}$

8 0

3 years ago

Two models of cellular telephones, red and blue, are stored in boxes. One box weighs twelve pounds and contains four of the red

GenaCL600 [577]

First, make a equation in which r= red and b=blue.

So, since in the first box it has 4 red models and one blue model equaling 12,

the first equation looks like 4r+b=12.

The second equation looks like 2r+b=8.

What you would do is try and first solve for r by getting rid of b.

Since both equation has a positive b, you would make one equation have a negative b by multiplying the whole equation by -1.

-1*(2r+b=8)= -2r-b=-8

Add.

4r+b=12
+(-2r-b=-8)

2r=4
r=2

Then, you plug in 2 for the r for any of the original equations.

4(2)+b=12

8+b=12

b=4

or

2(2)+b=8

4+b=8
b=4

So, the red models weigh 2 pounds while the blue models weigh 4.

5 0

3 years ago

How to turn 40% into a fraction

julia-pushkina [17]

Just divide 40 by 100. Then simplify 40/100. The answer is 2/5.

8 0

3 years ago

Read 2 more answers

Boris is taking a quiz for an online class. For the quiz, the system randomly assigns 2 high-difficulty questions, 7 moderate-di

Leviafan [203]

Answer:

$\frac{7}{15}$

Step-by-step explanation:

The probability that Boris is assigned a moderate-difficulty question would be the ratio of number of moderately difficult questions to the number of total questions available.

The quiz consists of 2 high difficulty, 7 moderate difficulty, and 6 low difficulty questions. That is 2 + 7 + 6 = 15 questions in total.

and

the number of moderately difficult questions is 7

Hence the probability would be 7/15

8 0

3 years ago

I don’t understand this at all

Lemur [1.5K]

9514 1404 393

Answer:

9(x +y)

Step-by-step explanation:

You observe that both terms have a coefficient of 9. The distributive property lets you factor that out, so you can rewrite the expression as ...

9x +9y = 9(x +y)

_____

It might help to think of parentheses as a "bag." The expression 9(x+y) tells you the contents of one bag is (x+y) and you have 9 of them. You could think of x, and y as representing two different physical objects, for example, perhaps a ball and a cube.

The first expression, 9x +9y, tells you that you have 9 of each of these objects. The distributive property says this could be the result of dumping the contents of 9 bags, each containing one each of the objects. The expression 9(x+y) is the version of the expression that shows these objects as being grouped into 9 bags.

3 0

3 years ago