Answer:
a + b = 5
Step-by-step explanation:
To solve this system of equations, we can use a strategy called elimination, which is when we get rid of a variable by adding/subtracting two equations.
Firstly, we want to make sure the absolute value of the coefficients that equal.
Lets eliminate b:
4a + 6b = 24
Multiply both sides by 2:
8a + 12b = 48
We also have:
6a - 12b = -6.
Now lets add that with
8a + 12b = 48
-> 6a + 8a + 12b - 12b = 48 -6
-> 14a = 42
-> a = 3
Now that we know a, lets plug it into one of our original equations:
4(3) + 6b = 24
12 + 6b = 24
6b = 12
b = 2
Finally, add the two values we found:
a+b = 2+3= 5
Answer:
+3
Step-by-step explanation:
(-m)^(-3) = -m^3, since (-1)^-3 = 1 / (-1).
If m = 2 then we have -2^(-3), or -1 / [2^3]), or -1/8.
Finally, if n = -24, the original expression becomes
(-1/8)(-24) = +3
Second problem: Only the first expression simplifies to a negative result.
Answer:
38 cents
Step-by-step explanation:
quarter= 25
nickles= 5
pennies= 1
5+5+25+3= 38
We are asked to determine the limits of the function cos(2x) / x as x approaches to zero. In this case, we first substitute zero to x resulting to 1/0. A number, any number divided by zero is always equal to infinity, Hence there are no limits to this function.
