Answer:
2^16 or 65,536
Step-by-step explanation:
First, you'll find the answers to 2^6 and 2^10
2^6=64 while 2^10=1024, then you multiply 1024 by 64 which gives you 65,536.
**or, the easier way is to just add the two exponents together since you see that the bases are the same.
Let us assume the age of the son now = x
Then
The age of the man now = 5x
Now we have to calculate the age of the son and father 9 years ago
Age of the son 4 years ago = x - 4
Age of the man 4 years ago = 5x - 4
Then
5x - 4 = 9(x - 4)
5x - 4 = 9x - 36
5x - 9x = -36 + 4
- 4x = - 32
MUltiplying both sides of the equation by -1 we get
4x = 32
x = 32/4
= 8
So the present age of the son is 8 years
Present age of the man = 5x
= 5 * 8
= 40 years
So the present age of the man is 40 years and the present age of the son is 8 years.
Answer:
x = 3 and 7
There are two true solutions.
Step-by-step explanation:
To solve 
, use inverse operations by squaring both sides of the equal sign.
The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.
(x - 3) ( x - 7) = 0
x-3 = 0 so x=3
x-7 = 0 so x=7
Now check each solution into the original equation to be sure it solve the solution and is not extraneous.
and
![3-7 = \sqrt{-4(3)+28}\\[tex]-4 = \sqrt{16}\\-4 =-4](https://tex.z-dn.net/?f=3-7%20%3D%20%5Csqrt%7B-4%283%29%2B28%7D%5C%5C%5Btex%5D-4%20%3D%20%5Csqrt%7B16%7D%5C%5C-4%20%3D-4)
[/tex]
7/10, since three of the total 10 balls are blue.
