To get the other factor of the expression x² - 10x + 24, we can use long or synthetic division. We are given that the other factor is x - 6, so we can use that as our divisor. Our setup should look something like this:
x² - 10x + 24 ÷ x - 6
Here is the work using polynomial long division:
<u> x -4 </u>
x - 6 | x² - 10x + 24
<u> </u><span><u>x² - 6x</u>
</span> 0 - 4x + 24
<span><u>-4x - 24</u>
</span> 0
We can see that our quotient is x - 4, which would be the other factor of x - 6 to get x² - 10x + 24. The answer to your query is x - 4. Hope this helps and have a phenomenal day!
6*16^2=1536 in
A=1536 in
The surface area of the cube is 1536 in.
Set up a proportion. 6/10 = 9/x. cross multiply so x times 6 = 6x. And 10 times 9 = 90. so 6x=90. Then 90 and 6x divided by 6. which gets you x=15. The 9 ft tall elephant will cast a 15 ft shadow.
Answer:
Cardinal Numbers
The cardinality of a group represents the number of objects available in that group.
The number of elements or members in a set is the cardinal number of that set. ...
For example, set A = {1, 3, 6, 9, 10, 12, 18}, the cardinal number of set A is 7.
Step-by-step explanation:
i don't no kung true hehe
Answer:
a. 5,040 ways
b. 210 ways
Step-by-step explanation:
a) We want to pick 4 numbers out of 10 given that orders matter
If orders do matter, it will be a permutation problem
Mathematically;
n P r = n!/(n-r)!
In this case, n is 10 and r is 4
Thus, we have it that;
10 P 4 = 10!/(10-4)! = 5,040
b) if orders do not matter
It will be a combination problem
n C r = n!/(n-r)!r!
n = 10 and r = 4
10 C 4 = 10! /(10-4)!4!
= 210
