<u>Answer</u>:
3y = 4(x - 1.5)²
<u>Step-by-step explanation:</u>
The equation of the parabola in the vertex form is:
y = a (x-h)² + k
Where: (h,k) the coordinates of the vertex & a is a multiplier
The parabola has a vertex at ( 1.5 , 0 )
So, h = 1.5 , k = 0
∴ y = a (x - 1.5)² + 0
∴ y = a (x - 1.5)²
The parabola passes through points ( 3 , 3 )
∴ 3 = a (3 - 1.5)²
∴ 1.5² a = 3 ⇒ a = 3/1.5² = 3/2.25 = 4/3
∴ y = (4/3) (x - 1.5)²
mukitbly both sides by 3
∴ 3y = 4(x - 1.5)²
So, the equation of a parabola that has a vertex at ( 1.5 , 0 ) and passes through points ( 3 , 3 ) is 3y = 4(x - 1.5)²
See the attached figure.
Answer:
24.5 inches need to be cut
Step-by-step explanation:
Start in North Carolina and go to Cincinnati which is 366 miles. To this add 247 miles.
The total driving distance = 366 + 247 = 613 miles in all.
Answer:
Total number of puppies in the litter = 11
Step-by-step explanation:
Let the number of yellow puppies in the litter = y
And the number of black puppies in the litter = b
If there was one less black puppy, ratio of yellow to black puppies = 
2(b - 1) = 3y
3y - 2b = -2 -----(1)
If there was one more black puppy, ratio of yellow puppies to black puppies = 
2y = b + 1
2y - b = 1 -------(2)
Equation (1) - 2× equation (2)
(3y - 2b) - 2(2y - b) = -2 - 2
3y - 4y - 2b + 2b = -4
y = 4
From equation (1),
3×4 - 2b = -2
12 - 2b = -2
-2b = -14
b = 7
Total number of puppies in the litter = 7 + 4 = 11
