First subtract the constant to the other side to simplify it for now
y-5=-x^2+6x
Then pull out a common factor so the coefficient is x^2
y-5=-1(x^2-6x)
Next you take 1/2 of the b value (-6) and square it to find your c value
[1/2(-6)]^2=9
After that plug 9 into your equation as your c value
y-5=-1(x^2-6x+9)
Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side
y-14=-1(x^2-6x+9)
Now you want to simplify the equation on the right side.
y-14=-1(x-3)^2
Finally you want to add the constant back to the right side.
y=-1(x-3)^2+14 <——— vertex form
maximum=(3,14)
No solutions, since the lines are parallel and never meet. Hope I helped :)
Answer:
The estimate of the proportion of oil tankers that had spills is 0.25.
Step-by-step explanation:
Proportion of oil tankers that had spills:
1036 tankers.
777 did not have spills.
So 1036 - 777 = 259 had spills.
The proportion is:
The estimate of the proportion of oil tankers that had spills is 0.25.
Answer:
okay gonna assume the dilation scale factor is 0.5, not -0.5
A' is at point (2,1)
B' is at point (3,1)
C' is at point (3,2)
D' is at point (2,3)
Step-by-step explanation:
make all of the sides of the model smaller by multiplying by 0.5. Then keep point A' where point A is because the center of the dilation is at point A.
I believe 8.23 is greater because 8.2 can be 8.20 so that’s why my answer is 8.23