Answer:
Evaluate:
-
- 
Factor:

Step-by-step explanation:
A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The time at which the ball will hit the ground is,
h(t) = −16t² + 10t + 6
0 = -16t² + 10t + 6
8t² - 8t + 3t - 3= 0
8t(t-1)+3(t-1) = 0
(8t+3)(t-1)=0
t = -0.375, 1
Hence, the ball hit the ground at 1 second, while the function in intercept form can be written as h(t) = (−8t − 3)(2t − 2).
Thus, the correct option is D.
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Answer:
80 mm
Step-by-step explanation:
Pythagorean theorm can be applied here to solve for the length of the last leg,
+
=
, where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:
b = √c^2 - √a^2
= √(82)^2 - √(18)^2
= √6724 - √324
= √6400
= 80 mm
The water is flowing into the pool at 1.5 gallons per minute and it would take 20 minutes to be filled.
<h3>
What is an Equation</h3>
An equation is used to show the relationship between two or more numbers and variables.
The pool holds 30 gallons of water. After 5 minutes, the pool is about one fourth full. Hence:
Time to full the pool = 5 minutes * 4 = 20 minutes
Rate of water flow = 30 gallons/20 minutes = 1.5 gallons per minute
The water is flowing into the pool at 1.5 gallons per minute and it would take 20 minutes to be filled.
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