Considering no discounts for bringing people to the theatre, and a being the number of adults attending the show and b the number of children attending the show then:
The value of k is (A) 20/3.
<h3>
What is a parabola?</h3>
- A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics.
- It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
- A point and a line are two ways to describe a parabola.
To find the value of k:
Where (a, b) is the vertex and c is the constant.
- (a, b) = (-4, k)
- y - k = c (x - (- 4))²
- y - k = c (x + 4)²
So,
- x = 0, y = 12
- 12 - k = 16c
- k = 12 - 16c ...... (1)
Then,
- (-3, 7) = (x, y)
- 7 - k = c (1)²
- k = 7 - c ...... (2)
Now,
- 12 - 16c = 7 - c
- 12 - 7 = 16c - c
- 5 = 15c
- c = 5/15 = 1/3
So, the value of k:
- k = 12 - 16 (1/3) = 12 - 16/3 = 36-16/3 = 20/3
Therefore, the value of k is (A) 20/3.
Know more about a parabola here:
brainly.com/question/4061870
#SPJ4
The complete question is given below:
The coordinates of the vertex of a parabola in the XY plane are (-4,k). If the y-intercept of the parabola is 12 and the parabola passes through the point (-3,7), then what is the value of k?
(A) 20/3
(B) 16/5
(C) 14/3
(D) 12/5
12%=(3+10%*x)/(20+x)
x=30
add 30 pounds of the second alloy
Answer:
uh.... Why??
Step-by-step explanation:
Answer:
Part 1: Write mathematical equations of sinusoids.
1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.
a) What is the phase shift, c, of this curve? (2 points)
b) What is the vertical shift, d, of this curve? (2 points)
c) What is the amplitude, a, of this curve? (2 points)
d) What is the period and the frequency factor, b, of this curve? (2 points
e) Write an equation using the cosine function that models this data set. (5 points)
2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to
model the curve using the sine function
Step-by-step explanation:
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