The simplified form of the given expression is ![\left(2^{3} \times x^{5}\right)\left(2 x^{2}+3 x+10\right)](https://tex.z-dn.net/?f=%5Cleft%282%5E%7B3%7D%20%5Ctimes%20x%5E%7B5%7D%5Cright%29%5Cleft%282%20x%5E%7B2%7D%2B3%20x%2B10%5Cright%29)
<u>Step-by-step explanation:</u>
Given expression:
![\left(2 x^{3}+3 x^{2}+10 x\right)\left(8 x^{4}\right)](https://tex.z-dn.net/?f=%5Cleft%282%20x%5E%7B3%7D%2B3%20x%5E%7B2%7D%2B10%20x%5Cright%29%5Cleft%288%20x%5E%7B4%7D%5Cright%29)
Now, we have to simplify the above so split into two term.
can be written as below, ‘x’ is taken out as it is common.
-----> eq. 1
can be written as below, ‘8’ is cube of 2
-----> eq 2
Now combine eq. 1 and 2, we get
![x\left(2 x^{2}+3 x+10\right)\left(2^{3} \times x^{4}\right)](https://tex.z-dn.net/?f=x%5Cleft%282%20x%5E%7B2%7D%2B3%20x%2B10%5Cright%29%5Cleft%282%5E%7B3%7D%20%5Ctimes%20x%5E%7B4%7D%5Cright%29)
When try to factoring
, trinomial cannot be factored. Because,
- Multiply the coefficient of the first term by the constant 2(10) = 20
- Find two factors of 20 whose sum equals the coefficient of the middle term, which is 3. But no two such factors can be found.
Hence,
![\left(2^{3} \times x^{5}\right)\left(2 x^{2}+3 x+10\right)](https://tex.z-dn.net/?f=%5Cleft%282%5E%7B3%7D%20%5Ctimes%20x%5E%7B5%7D%5Cright%29%5Cleft%282%20x%5E%7B2%7D%2B3%20x%2B10%5Cright%29)
There are many solutions. Choose any 'x', and then choose 'y' which is greater than 7 and greater than the double of 'x'.
When writing the ordered pair, remember that 'x' comes first.
Some examples: (0,8), (1,10), (-3,9), etc.
You can interpret this graphically. The points that solve 'y>2x' are those above the line 'y=2x', and the solutions to 'y>7' are those above the line 'y=7' (which is an horizontal line). Hence the solution to the system of inequalities is the intersection of those two regions. Have a look at the illustration:
Answer:
D. M<6 + M<10 = 180°
Step-by-step explanation:
Because they are consequetive interior angles and they are supplementary
Answer:there are 36 outcomes with 2 dice, there are 6 outcomes that have the number 8
Step-by-step explanation:
Answer:
mean is 3, 6
Step-by-step explanation:
lol