Follow order of operations.
Distribute what is in the parentheses.
4[6a^2 -2ab +3ab] + 5[3ab + 6b^2 -4ab]
Combine like terms in the brackets.
4[6a^2 + 3ab] + 5[-1ab + 6b^2]
Distribute the 4 and the 5.
24a^2 + 12ab -5ab + 30b^2
Combine like terms.
24a^2 +7ab + 30b^2
That's your final answer:
24a^2 +7ab + 30b^2
Answer:
D. 54,900
Step-by-step explanation:
We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.
To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.
First of all, we will find z-score corresponding to probability
using normal distribution table.
From normal distribution table, we get z-score corresponding is
.
Now, we will use z-score formula to find sample score as:
, where,
= Z-score,
= Sample score,
= Mean,
= Standard deviation





Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.
Answer:
m = -3
Step-by-step explanation:
Slope Formula: 
Simply plug in our coordinates to find slope:
m = (11 - 2)/(5 - 8)
m = 9/-3
m = -3
Answer:
Plug x-7 in for y, in the bottom equation.
x - 7 = 2 + 2x - 4
x - 7 = 2x - 2
x = 2x + 5
-x = 5
x = -5