Answer:
Step-by-step explanation:
Given equation is,
y = 3x² - 6x + 11
a). y = 3x² - 6x + 11
= 3(x² - 2x) + 11
= 3(x² -2x + 1 - 1) + 11
= 3(x² - 2x + 1) - 3 + 11
= 3(x - 1)² + 8
Comparing this equation with y = a(x - b)² + c
a = 3, b = 1 and c = 8
b). For minimum value of x,
Since, vertex of the graph is given by (b, c),
Minimum value of x will be,
x = b
x = 1
c). Vertex of the parabola → (b, c)
→ (1, 8)
For y-intercept,
By substituting x = 0 in the equation,
y = 3(0 - 1)² + 8
y = 11
Now we can sketch the graph by using the table of input - output values.
x -2 -1 0 1 2 3
y 35 20 11 8 11 20
Using the formula for circumference from diameter (c=pi(d)), we find that the circumference of the ferris wheel is about 197.97 feet. We then multiply that number by the revolutions to get 2,374.64 feet, which is the answer.
27,000 kilometers per hour equals
16777 miles per hour
24606 Feet per second
7500 Meters per second
14759 Knots
Check the picture below.
make sure your calculator is in Degree mode.
but will run you about 36.8698976458° and 53.13010235415598°.
Answer:
53 adults
Step-by-step explanation:
Let
x---------> the number of adults
y -------> the number of students
we know that
-----> equation A
-----> equation B
Equate equation A and equation B
solve for x
therefore
There are 53 adults
