Answer:
That (blank) is 9.
Step-by-step explanation:
Please write 8x^2 - 48x = -104, with " ^ " indicating exponentiation. Thanks.
This sounds like a perfect example of "completing the square."
First, factor 8x^2 - 48x = -104: 8(x^2 - 6x = -13).
If we focus SOLELY on x^2 - 6x = -13, it's just a little easier to "complete the square." Take half of the coefficient of x (which here is -6), and square that result (which here is (-3)^2, or 9. Now add 9 both sides of x^2 - 6x = -13:
x^2 - 6x + 9 = -13 + 9. Note: The "blank" in the problem statement is 9.
We could go ahead and solve this, tho' we weren't asked to do so. Rewrite x^2 - 6x + 9 as (x - 3)^2:
x^2 - 6x = -13 then becomes (x - 3)^2 = 4. To solve for x, take the sqrt of both sides of this latest result, obtaining x - 3 = plus or minus 2. Add 3 to both sides to isolate x: x = 3 plus or minus 2.
Thus, x = 5 or x = 1.
Answer:
Step-by-step explanation:
6k^2
------- = 2k; and:
3k
-15k
------- = -5
3k
-5 cannot be evenly divided by 3k, so there's a remainder instead.
6k^2 - 15k - 5
-------------------- = 2k -5 with remainder -5.
3k
Answer:
15*1.99
7*2.50
Step-by-step explanation:
I think you would multiply them (im not sure im not very good with math if its wrong im really sorry hope you get it though good luck :) ! )
Since there are 6 students out of which one needs to be selected, the principal chose two die on which there are six numbers each numbered from 1 , 2, 3, 4, 5, 6.
Since there are two dice, the total possible outcome is 36.
Hence, the probability of getting one number each is 1/36
Hence, the principal used a fair method because each result is an equally likely possible outcome.
Option B is correct.
The actual quotient will be greater than 10 because 60 divided by 5 is 12, so the answer will be between 10 and 12, so it will be greater than 10
