There is 33 students in the class
Well what are her earnings to begin with ?
Answer:
The answer is -1 or 9
The quadratic equation is ax² + bx + c = 0. But, by completing the square we turn it into: a(x + d)² + e = 0, where:
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 8x = 9, which is after rearrangement:
x² - 8x - 9 = 0
So, a = 1, b = -8, c = -9
Let's first calculate d and e:
d = b/2a = -8/(2 * 1) = -8/2 = -4
e = c - b²/4a = -9 - (-8)²/(4 * 1) = -9 - 64/4 = -9 - 16 = -25
By completing the square we have:
a(x + d)² + e = 0
1(x + (-4))² + (-25) = 0
(x - 4)² - 25 = 0
(x - 4)² = 25
⇒ x - 4 = √25
Since √25 can be either -5 or +5 , then:
x - 4 = -5 or x - 4 = 5
x = -5 + 4 or x = 5 + 4
x = -1 or x = 9
Step-by-step explanation:
cows = y
pigs = y + 6
goats = 4(y+6) = 4y+ 24
sheep = 2/3 * (4y + 24) = 8/3y + 16
sol.
total
= y+y+6+4y+24+8/3y+16
=26/3y + 46
sheep = 112 = 8/3 y + 16
8/3y = 112-16
y= (112 - 16)*3/8
y = 36
then substitute y with 36 in the total equation so yeah...
36+36+6+4(36)+24+8/3(36)+16
=358 animals
Answer:
The estimated distance is 405 meter.
Step-by-step explanation:
Given : Your velocity is given by 
in m/sec, with t in seconds.
To find : Estimate the distance, s, traveled between t=0 and t=8 ?
Solution :
We have to integrate the function from 0 to 8 to get the distance.
Integrate w.r.t t,
We know, 
![=[\frac{2t^3}{3}+8t]^8_0](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B2t%5E3%7D%7B3%7D%2B8t%5D%5E8_0)
The estimated distance is 405 meter.
