These are linear equations that can be solved simultaneously;
5m+3n=41
3m-6n=9 (multiplying the first equation by 3 and the second by 5)
15m+9n=123
15m-30n= 45 (subtracting the two equations)
39n = 78
n = 2,
and for m, 3m = 9+6(2)
= 21
m = 7
Therefore, n=2 and m=7
Answer:
1/9
Step-by-step explanation:
27x+3 = 6
-3 -3
27x = 3
/27 /27
× = 3/27 = 1/9
The given expression is:
![\sqrt[4]{ 9^{ \frac{1}{2}x } }](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%209%5E%7B%20%5Cfrac%7B1%7D%7B2%7Dx%20%7D%20%7D%20%20)
4th root is equivalent to raising the expression to power

. So, re-writing the expression by converting radical to exponent:
Therefore, the given expression simplifies to
For this case we must factor the following expression:

We take the sign "-" as a common factor of the expression, taking into account that:

To factor, we must find two numbers that, when multiplied, result in -48 and when added, result in -2. These numbers are -8 and +6.

Then, we factor the expression within the parenthesis as:

Answer:

All you need to do is add te averages together then divide them by 2.
91%+78%=169%
169%÷2=84.5%
So the new test average is 84.5%