Answer:
Step-by-step explanation:
Let the quadratic function be
We substitute 
into the equation to obtain;
We substitute 
to obtain;
We finally substitute 
to obtain;
We put equation (2) into equation (1) to get;
We add equation (4) and (5) to get;
We put 
into equation (5) to get;
The reqiured quadratic function is
Answer:
b=2
Step-by-step explanation:
-12+3b-1=-5-b
Combine like terms
-13 +3b = -5-b
Add b to each side
-13+3b+b = -5-b+b
-13+4b = -5
Add 13 to each side
-13+13 +4b = -5+13
4b = 8
Divide by 4
4b/4 = 8/4
b = 2
I think the answer is 9.375 if it needs to be in decimal form. If it needs to be in fraction form it would be improper, 9 3/8 would be the fraction. Hope it helps!
First, multiply $3 by 4 to get $12 spent on cookies. Then, you multiply $12 by 2 to know that the pies cost $24. You then divide the $24 by 3 to get $6 per pie. Meaning, each pie had cost $6. You add the $12 and $24 together to get $36. Finally, you subtract $36 from $40 to know that she only has $4 left.
Answer:
- 3) y = (7/2)x -12
- 4) y = 3x -5
- 7) y = (1/3)x +4/3
- 8) y = (-4/3)x +8/3
Step-by-step explanation:
In every case, you can ...
- replace any constant in the equation by 0
- for point (h, k), replace x with (x-h) and y with (y-k), then simplify
- solve for y (add the opposite of the y-term; divide by the y-coefficient)
3) -7(x-4) +2(y-2) = 0 ⇒ -7x +2y +24 = 0
... y = (7/2)x -12
4) (y+2) = 3(x-1)
... y = 3x -5
7) -(x+4) +3(y-0) = 0 ⇒ -x +3y -4 = 0
... y = (1/3)x +4/3
8) 4(x-2) +3(y -0) = 0 ⇒ 4x +3y -8 = 0
... y = (-4/3)x +8/3
