Answer:
h = 66
Step-by-step explanation:
We are given the equation of one variable h and we have to solve the equation for h.
The equation is given by
⇒ {Adding 17 to both sides}
⇒
⇒ h = 22 × 3 {Since we know that if then we can write }
⇒ h = 66 (Answer)
This is a combination problem. The approach to this is by using the nCr method, where n is the number of total objects and r is the number of success. For example, if you want to get 3 red out of the total 4, then that would be 4C3. That means,
4C3 = 4!/3!(4 - 3)! = 4 ways
If you want to get 2 green out of the total 6, then that would be 6C2. That means,
6C2 = 6!/2!(6-2)! = 15 ways
Therefore, there are a total of 4+15 = <em>19 ways</em>.
Answer:
3
Step-by-step explanation:
The value of "a" is the coefficient of x^2, so we know that is 2.
__
<u>Solve for h</u>
Now, we have ...
2x^2 -8x +7 = 2(x -h)^2 +k
Expanding the right side gives us ...
= 2(x^2 -2hx +h^2) +k
= 2x^2 -4hx +2h^2 +k
Comparing x-terms, we see ...
-4hx = -8x
h = (-8x)/(-4x) = 2
__
<u>Solve for k</u>
Now, we're left with ...
2h^2 +k = 7 = 2(2^2) +k = 8 +k
Subtracting 8 we find k to be ...
k = 7 -8 = -1
__
And the sum of constants a, h, and k is ...
a +h +k = 2 +2 -1 = 3
The sum of the constants is 3.
Answer: x^3+30x+75
-----------------------------
15x
Step-by-step explanation:
5x/x^2+2x÷30x^2/x+2
1/15x^5+2x^3+5x^2
---------------------------
x^3
x^3+30x+75
-----------------------------
15x
B, y goes up 8, when you add 8 to y