The answer is B. The next crayon Laura picks is NOT red.
Answer:
A function to represent the height of the ball in terms of its distance from the player's hands is 
Step-by-step explanation:
General equation of parabola in vertex form 
y represents the height
x represents horizontal distance
(h,k) is the coordinates of vertex of parabola
We are given that The ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.
So,(h,k)=(18,12)
Substitute the value in equation
---1
The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0
So, y = 6
So,
6=324a+12
-6=324a


Substitute the value in 1
So,
Hence a function to represent the height of the ball in terms of its distance from the player's hands is 
Y = -5x + 10
Your welcome for the help!
Answer:
D) 0 = 2(x + 5)(x + 3)
Step-by-step explanation:
Which of the following quadratic equations has no solution?
We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.
A) 0 = −2(x − 5)2 + 3
0 = -2(x - 5) × 5
0 = (-2x + 10) × 5
0 = -10x + 50
10x = 50
x = 50/10
x = 5
Option A has a solution of 5
B) 0 = −2(x − 5)(x + 3)
Take each of the factors and equate them to zero
-2 = 0
= 0
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Option B has a solution by one of its factors as a positive value of 5
C) 0 = 2(x − 5)2 + 3
0 = 2(x - 5) × 5
0 = (2x -10) × 5
0 = 10x -50
-10x = -50
x = -50/-10
x = 5
Option C has a solution of 5
D) 0 = 2(x + 5)(x + 3)
Take each of the factors and equate to zero
0 = 2
= 0
x + 5 = 0
x = -5
x + 3 = 0
x = -3
For option D, all the values of x are 0, or negative values of -5 and -3.
Therefore the Quadratic Equation for option D has no solution.
Using conversions of mixed numbers, the numbers that are equivalent to 2 and 7/9 are given by:
25/9 and 2.777.
<h3>What are the conversions of the mixed number 2 and 7/9?</h3>
To convert to decimal, we just add the integer part with the fractional part converted to decimal(dividing the numerator by the denominator), hence:
2 and 7/9 = 2 + 7/9 = 2.7777.
To convert to fraction, the procedure is similar, we just apply the least common multiple to add the fraction, as follows:

Hence the numbers that are equivalent to 2 and 7/9 are given by:
25/9 and 2.777.
More can be learned about conversions of mixed numbers at brainly.com/question/21610929
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