System b should be (-3,2)!
All real numbers except -4 and 9.
The domain of an expression is the range of all values for which the expression is defined. Looking at the expression, it will legal everywhere except when a^2 - 5a - 36 is equal to 0. Since that's a quadratic equation, we can use the quadratic formula to find where its value is 0, giving -4 and 9.
Therefore the domain of the expression is, All real numbers except -4 and 9.
The point-slope form of the equation of a straight line is:
We have:
Substitute:
Answer:
x = 19
Step-by-step explanation:
Solve for x:
3 x + 43 = 100
Subtract 43 from both sides:
3 x + (43 - 43) = 100 - 43
43 - 43 = 0:
3 x = 100 - 43
100 - 43 = 57:
3 x = 57
Divide both sides of 3 x = 57 by 3:
(3 x)/3 = 57/3
3/3 = 1:
x = 57/3
The gcd of 57 and 3 is 3, so 57/3 = (3×19)/(3×1) = 3/3×19 = 19:
Answer: x = 19
When you are told to estimate, you should be able to do the problem in your head.
8 7/12 is close to 8 1/2
4 7/8 is very nearly 5
4/10 is very nearly 1/2
8 1/2 - 5 - 1/2 First of all you can take the 1/2 away from 8 1/2
8 1/2 - 1/2 = 8
Now take away the 5
8 - 5 = 3
So the answer is very nearly
3 <<<<< answer.
Just for fun, I'll get the exact answer. Don't hand this one in. It is 3 37/120
You learn to estimate because you are trying to guess whether or not you've entered everything correctly into your calculator. When writing a test, this is a very handy skill to have developed.
