F(x) = 3x^2 + 1
g(x) = 1 - x
(f - g)(x) = 3x^2 + 1 - (1 - x) = 3x^2 + 1 - 1 + x = 3x^2 + x
(f - g)(2) = 3(2)^2 + 2 = 3(4) + 2 = 12 + 2 = 14.
I would use elimination. I would multiply 4x+3y=2 by 3 so the it becomes 12x+9y=6, and I would multiply the bottom equation by 4 so that it becomes 12x+8y=4. Because I am using elimination I have to get rid of one variable, I chose to get rid of X hence that the coefficient of X in each equation is now 12. i simply subtract both equations and get y by itself. y=2. I plug in Y to find x in either of the original equations, where I get x=-1. To check my work substitute the values of x and y in the other equation. 4(-1)+3(2)=2 -------> 2=2
Answer:
8
Step-by-step explanation:
Let n represent the number.
2n+3 . . . . "doubled, then increased by 30"
3n -5 . . . . "five less than three times the number"
These two results are equal, so we have ...
2n +3 = 3n -5
8 = n . . . . . . . . . . add 5-2n
The number is 8.
Answer:
1. Number of warts on a toad ⇒ <em>discrete variable</em>
2. Survival time after poisoning ⇒ <em>continuous variable</em>
3. Temperature of porridge ⇒ <em>continuous variable</em>
4. Number of bread crumbs in 10 meters of trail ⇒ <em>discrete variable</em>
5. Length of wolves’ canines ⇒ <em>continuous variable</em>
A discrete variable is the one which takes over range of real number, for a value in range that variables are permitted to take, there is minimum distance to nearest permissible value. In contrast, continuous variables are the one which can take infinitely many values.
( 0, 8 ) → B
Apply the given rule to the coordinates of point B (2, 5 )
thus B' = ( 2 - 2, 5 + 3 ) = (0, 8 )