Answer:
-3x +4=x-2,.........
Step-by-step explanation:
If it's wrong....I apologize in advance!
Answer:
x = 6
Step-by-step explanation:
A proportional relationship is between two variables where their ratios are equivalent. Another way to explain is one variable is always a constant value times the other . Which is known as the “constant proportionality”
Answer:
45
Step-by-step explanation:
Evaluate 5 x^2 - 3 (x - 2) + x where x = 3:
5 x^2 - 3 (x - 2) + x = 5×3^2 - 3 (3 - 2) + 3
3^2 = 9:
5×9 - 3 (3 - 2) + 3
3 - 2 = 1:
5×9 - 3 + 3
5×9 = 45:
45 - 3 + 3
45 + 3 = 48:
48 - 3
| 4 | 8
- | | 3
| 4 | 5:
Answer: 45
(x-h)^2=4P(y-k), vertex is (h,k)
P is distance from vertex to directix
remember to subtract P from the y value of the vertex (p-k) and that y value is the directix, y=p-k
nut
ok so one way is to just graph them on a graphing utility
remember if the graph opens up, then the directix is below that
or we can convert to 4P(y-k)=(x-h)^2 form where P is distance from directix
I will only convert the 1st one fully, you should be able to do the rest
1. y=-x^2+3x+8
multiply both sides by -1 since we don't like the x^2 term negative
-y=x^2-3x-8
add8 to both sides
-y+8=x^2-3x
take 1/2 of linear coeficient and square it and add to both sides
-3/2=-1.5
(-1.5)^2=2.25
-y+10.25=x^2-3x+2.25
factor perfect square
-y+10.25=(x-1.5)^2
force undistribute -1 in left side
(-1)(y-10.25)=something, we don't care anymore for now
factor out a 4 in -1
4(-1/4)(y-10.25)
k=10.25
p=-1/4=-0.25
directix=k-p=10.25-(-0.25)=10.5
directix is y=10.5
basically completee the square with x and find P by force factoring a 4 out
2. directix: y=-1.75
3. directix: y=1.5
4. directix: y=17.25
5. d: -37.5
6. d: 9.25
7. d=2.625
order them yourself
