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3 years ago

Find the product of this expression. (2 + x)( 4 - 2x + x2) =

Mathematics

2 answers:

Crank3 years ago

7 0

Answer:

8+x^3

Step-by-step explanation:

Sliva [168]3 years ago

7 0

The answers is 8+4x!!!

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one number is four times as large as another if the numbers are added together the result is six less than seven times the small

liubo4ka [24]

Answer:

The numbers are 12 and 3.

Step-by-step explanation:

We can solve this problem by working with the information we have and setting up some equations.

We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.

Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.

Let's solve that equation like so:

$4x + x = 7x - 6\\5x = 7x - 6\\-2x = -6\\x = 3$

So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.

4 0

3 years ago

Twenty-four players divided into three teams?

avanturin [10]

24÷3=8

There will be eight players on each team.

8 0

3 years ago

Read 2 more answers

Find three consecutive even integers such that 3 times the first is 26 less than twice the sum of the last two

Dimas [21]

Let's say our first integer is "a".

how to get the next consecutive EVEN integer? well, just add or subtract 2 from it, therefore, the second consecutive integer will be "a + 2".

and the next after that, will then be (a + 2) + 2, or "a + 4".

so those are are 3 integers, a a + 2 a+4

notice that, from any even or odd integer, if you hop twice either forwards or backwards, you'll land on another even or odd integer respectively.

2 + 2 is 4, or 8 + 2 is 10 some even ones

3 + 2 is 5, or 13 + 2 is 15, some odd ones

$\bf \stackrel{\textit{3 times the first}}{3a}~~=~~\stackrel{\textit{26 less than twice the sum of the others}}{2[~(a+2)+(a+4)~]~~~-26}
\\\\\\
3a=2[~2a+6~]-26\implies 3a=4a+12-26\implies 3a=4a-14
\\\\\\
0=a-14\implies 14=a$

what are the other two consecutive integers? well, a + 2 and a + 4.

4 0

3 years ago

Simplify 3(2x^4*y^5)^2/(6x^3*y^3)^6

Thepotemich [5.8K]

$\dfrac{3(2x^4y^5)^2}{(6x^3y^3)^6}\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=\dfrac{3(2^2)(x^4)^2(y^5)^2}{6^6(x^3)^6(y^3)^6}=\dfrac{3(4)x^8y^{10}}{46656x^{18}y^{18}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{12x^8y^{10}}{46656x^8x^{10}y^{10}y^8}=\dfrac{1}{3888x^{10}y^8}$

7 0

3 years ago

20000 into saving account 6% compound interest for 10 years

zimovet [89]

Answer:

210,000‬

Step-by-step explanation:

20,000 * 6% = 1,200‬

20,000 + 1,200 = 21,000

21,000 * 10 = 210,000‬

Therefore your answer is 210,000‬

3 0

3 years ago