Third is y=-2x-2, second is y+4=-1(x-3), first is y+5=-1(x+4)
Option 1To find the y-intercept of a quadratic that is in factor formed follow the steps below:
First take the factor form and put it into standard quadratic form
Standard quadratic form:
To put the the factor form of a qudratic into standard form, we use the foil method
(x-6)(x-2) =

Now to find the y-intercept, input 0 where the x is located:



y-intercept = (0,12)
Why did I use 0? Remember the y-intercept is where the line crosses the y axis so this means the x value of the y intercept is always = 0. Also, not, to find the y-intercept, you could of just multiplied the 6 and 2 in the factored form to get the 12 and since you know that the x is always 0 at the y-intercept, you know that the y-intercept is at (0,12)
Option 2Input 0 for x in f(x) = (x-6)(x-2)
f(x) = (x-6)(x-2)
f(0) = (0 - 6)(0 - 2)
f(0) = (6)(2) = 12
x = 0
f(0) = y = 12
y-intercept = (0,12)
Answer:
The answer to your question is 116.53 ft
Step-by-step explanation:
Data
length = 29 ft
width = 21 ft
π = 3.14
Process
1.- Calculate perimeter of the rectangle and subtract 1 length
Perimeter of the rectangle = 2l + 2w - l
Perimeter of the rectangle = 2(29) + 2(21) - 29
= 58 + 42 - 29
= 71 ft
2.- Calculate the perimeter of a semicircle
Perimeter = 2πr/2 = πr
radius = r = 29/2
= 14.5 ft
Perimeter = (3.14)(14.5)
= 45.53 ft
3.- Calculate the total length of the fence
fence = 45.53 + 71
= 116.53 ft
Answer: 20
Step-by-step explanation:
We assume that the heights of boys in a high school basketball tournament are normally distributed.
Given : Mean height of boys :
inches.
Standard deviation:
inches.
Let x denotes the heights of boys in a high school basketball tournament .
Then the probability that a boy is taller than 70 inches will be :-
![P(x> 70)=1-P(x\leq70)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{70-70}{2.5})\\\\=1-P(z\leq0)=1-0.5=0.5\ \ \text{[by using z-value table]}](https://tex.z-dn.net/?f=P%28x%3E%2070%29%3D1-P%28x%5Cleq70%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B70-70%7D%7B2.5%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq0%29%3D1-0.5%3D0.5%5C%20%5C%20%5Ctext%7B%5Bby%20using%20z-value%20table%5D%7D)
Now, the expected number of boys in a group of 40 who are taller than 70 inches will be :-

Hence, the expected number of boys in a group of 40 who are taller than 70 inches=20