Step-by-step explanation:
h = -16t² + 10t + 6
When h = 0, -16t² + 10t + 6 = 0.
=> -8t² + 5t + 3 = 0
=> (-8t - 3)(t - 1) = 0
=> t = 1 or t = -3/8 (rejected as time cannot be negative)
Hence 1 second passed before the ball hits the ground.
Kate's bill for this month for one bulb will be $1.8225
Further explanation:
Given
Old Bill for one bulb use = $7.29
Percentage of reduction in bill = 75%
To find the new bill, we have to find the amount of saving that Kate will get by using the energy saver and then the amount will be subtracted from the previous bill of $7.29
So, the new bill will be:

Hence the bill this month will be $1.8225
Keywords: Percentage, discount
Learn more about percentage at:
#LearnwithBrainly
Answer:

Step-by-step explanation:

use the distributive property: <em>a(b + c) = ab + ac</em>
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combine like terms
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Answer:
1.08 seconds
Step-by-step explanation:
given data
<u>first equation:</u>
According to the data, sharon position will be
h(t)= -16
+ 4t +18---->eq(1)
<u>Second equation;</u>
When Sharon jumps, Megan throws a beach ball up to Sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground to the nearest hundredth of a second
therefore, ball position would be
h(t)= -16
+16t +5 --->eq(2)
In order to find how long after she jumps does the ball reach Sharon i.e time, we will equate eq(1) and eq(2)
Therefore,
eq(1)= eq(2)
-16
+4t +18 = -16
+ 16t +5 --->(further simplifying it)
-16
+ 16
+ 18 -5 = 16t - 4t
13 = 12t
t= 13/12
t= 1.08 s
Thus it took 1.08 seconds.
(a² + b² - 2ab) + 2ac - 2bc = (a - b)² + 2c(a-b) = (a-b)(a-b +2c)