Answer:
Step-by-step explanation:
We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...
y = a(x -3)² +b
Filling in the values from the first two table points, we get
For (x, y) = (0, 6):
6 = a(0 -3)² + b ⇒ 9a +b = 6
For (x, y) = (2, 22):
22 = a(2-3)² +b ⇒ a +b = 22
Subtracting the second equation from the first gives ...
(9a +b) -(a +b) = (6) -(22)
8a = -16 . . . . . . collect terms
a = -2 . . . . . . . . divide by 8
The second equation above tells us ...
b = 22 -a = 22 -(-2) = 24
So, our equation for y is ...
y = -2(x -3)² +24
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The value of y for x=5 is ...
y = -2(5 -3)² +24 = 16
The height of the ball after 5 seconds is 16 feet.
<h2>
Height of tree is 7.5 feet</h2>
Step-by-step explanation:
Let t be the height of pole.
Given that the tree is 5 feet shorter than a pole.
Height of pole = t + 15
Also given that the pole is 3 times as tall as the tree.
Height of pole = 3t
So we have
t + 15 = 3t
2t = 15
t = 7.5 feet
Height of tree = 7.5 feet
Answer:
6 miles per hour
Step-by-step explanation:
speed = distance/time
speed = 1/2÷1/12 which is the same as
1/2 x 12/1 = 6
6 miles per hour.
or ou could change the 1/2 to become 0.5
and the 1/12 to become 0.083333333
and divide 0.5 ÷ 0.083333333 = 6.000000024
rounded to one decima place become 6.0
6 miles per hour
Answer:
5mls
Step-by-step explanation:
Since the doctors recommend the woman to give her 12 pound mixed breed dog Benadryl 12.5 mg orally, and she has Benadryl liquid that is exactly 12.5 mg per teaspoon, all she has to do is to give her dog one teaspoon only.
Since one US teaspoon equals to 5 metric millimeters.
The woman would need to give her pet 5mls then.
Answer: 4.3 years
Explanation: $1,800/2 = $900
$900/$210 = 4.28571429
