Answer:
Width of the garden box = 4 feet
Step-by-step explanation:
Given that:
Length of garden box = 22 feet
Let,
w be the width of garden box
It is also given that:
The length of a garden box is 6 feet longer than 4 times the width.
L = 4w + 6
Putting L = 22
22 = 4w + 6
22 - 6 = 4w
4w = 16
Dividing both sides by 4
![\frac{4w}{4}=\frac{16}{4}\\w=4](https://tex.z-dn.net/?f=%5Cfrac%7B4w%7D%7B4%7D%3D%5Cfrac%7B16%7D%7B4%7D%5C%5Cw%3D4)
Hence,
Width of the garden box = 4 feet
0.0006=6x10^-4
Since the exponent is negative, the number will get smaller. A negative exponent shows that the decimal point is shifted that number of places to the left. The exponent is -4, so the decimal place will move 4 places to the left.
Y=a(x-1)^2 -17 is the equation of the parabola.
at (0,16), 16=a(0-1)^2 -17. Solve for a = 33.
Equation is then y=33(x-1)^2-17 so when y=0,
(x-1)^2 = 17/33
x-1 = + and - square root of 17/33
x = 1.7177 and 0,2823 as the intercepts