Let

Substitute into differential equation:

Factor out t^r and solve for 'r':
Explanation:
In 2 hours (x) Frank earned $31(y)
In 4 hours (x) Frank earned $62(y)
2x = 31y
31 / 2 = 15.5
4x = 15.5 x 4 = 62y
Well to find the range, you need to take the highest number and subtract the lowest from it:
3 - -97
3 + 97
100
Range is always positive
plz mark me as brainliest if this helped :)
For first question, you can let t=1.5 and calculate h=140 ft. For second question, we can change the equation to the form of h=-16[(t-2)^2-9]. So you can see from the equation that the maximum height is created when t=2, equals to 144 ft. For question 3, let h=128. From equation, we can get t=3 or t=1. For last question, the rocket hit the lake means h=0, so t=5 or t=-1(not applicable). So the answer is t=5. You can also draw the graphic for the equation to help.
Answer:
<h3>3 : 2 : 4</h3>
<h2>CALCULATIONS</h2>
<h3>Let;</h3>
<h3>Kofi's age = 9</h3>
<h3>kwaku's age = 2/3 *9 = 6 </h3>
<h3>Yaw's age = 2(6) = 12</h3>
<h3>ratio of ages = 9 : 6 : 12</h3>
<h3>Simplest form = 3 : 2 : 4</h3>