Two water balloons were launched into the air at different moments and collided. the water balloons were modeled by the quadratic functions: y = −7x2 26x 3 and y = −6x2 23x 5, where y represents the height in meters and x represents the time in seconds after the launch. 2.0 seconds is the time, in seconds, that the balloons collided at the highest point
The time in seconds that the balloons collided at the highest point is; B: 2.0 seconds
We are told that the water balloons were modeled by the quadratic functions:
y = -7x² + 26x + 6 and y = -6x² + 25x + 4
where;
y = the height in meters
x = the time in seconds after the launch
The time at which they will collide has to be at the same height.
Thus;
-7x² + 26x + 6 = -6x² + 25x + 4
Rearranging this gives;
x² - x - 2 = 0.
Using an online quadratic equation solver gives us x = 2 or -1. We will take the positive one as x = 2.0 seconds
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Answer:
0.1 miles per minute
Step-by-step explanation:
The line goes through (0, 0), so Maria's speed is the ratio of miles to minutes:
(4.5 mi)/(45 min) = 0.1 mi/min
Answer:
the answer should be d
Step-by-step explanation:
1 x 4 =4
2 x 4 =8
3 x 4 =12
Answer:
The volume of candy that is needed by Polly is 1,437.3 cubic inches
Step-by-step explanation:
What we have to do here is to find the volume of the sphere with a diameter of 14 inches
If the diameter is 14 inches, then the radius is 14/2 = 7 inches
This is because the radius is half the measure of the diameter
To find the volume of the sphere, we use the formula below;
Volume of sphere
= 4/3 * pi * r^3
pi = 22/7
r = 7 inches
Volume is;
4/3 * 22/7 * 7^3
= 4/3 * 22 * 7^2 = 1437.3 cubic inches
Answer:
$51,862.50
Step-by-step explanation:
... the product of the number of shares and the price:
(900)($57 5/8) = $51,862.50
