Answer:
The answer is (D) ⇒ the time at which the egg reaches the ground
Step-by-step explanation:
∵ h(x) = -16x² + 35 ⇒ x is the time in seconds
∵ The zeroes of the expression means the value of x when h(x) = 0
and h is the height of the egg form the ground
∴ -16x² + 35 = 0
∴ 16x² = 35
∴ x² = 35/16 = 2.1875
∴ x = √2.1875 = 1.479
∴ The egg reaches the ground after 1.479 sec.
∴ The zeroes of the expression means the time at which the
egg reaches the ground
Check the picture below.
so if y = 2, then 2y = 4, thus
![\textit{area of a segment of a circle}\\\\A=\cfrac{r^2}{2}\left(\cfrac{\pi \theta }{180}~~ - ~~sin(\theta ) \right)~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=4\\\theta =60\end{cases}\\\\\\A=\cfrac{4^2}{2}\left(\cfrac{\pi (60) }{180}~~ - ~~sin(60^o ) \right)\implies A=8\left( \cfrac{\pi }{3}~~ - ~~\cfrac{\sqrt{3}}{2} \right)\\\\\\A=\cfrac{8\pi }{3}~~ - ~~4\sqrt{3}\implies A\approx 1.45](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20segment%20of%20a%20circle%7D%5C%5C%5C%5CA%3D%5Ccfrac%7Br%5E2%7D%7B2%7D%5Cleft%28%5Ccfrac%7B%5Cpi%20%5Ctheta%20%7D%7B180%7D~~%20-%20~~sin%28%5Ctheta%20%29%20%20%5Cright%29~~%5Cbegin%7Bcases%7Dr%3Dradius%5C%5C%5Ctheta%20%3D%5Cstackrel%7Bdegrees%7D%7Bangle%7D%5C%5C%5B-0.5em%5D%5Chrulefill%5C%5Cr%3D4%5C%5C%5Ctheta%20%3D60%5Cend%7Bcases%7D%5C%5C%5C%5C%5C%5CA%3D%5Ccfrac%7B4%5E2%7D%7B2%7D%5Cleft%28%5Ccfrac%7B%5Cpi%20%2860%29%20%7D%7B180%7D~~%20-%20~~sin%2860%5Eo%20%29%20%20%5Cright%29%5Cimplies%20A%3D8%5Cleft%28%20%5Ccfrac%7B%5Cpi%20%7D%7B3%7D~~%20-%20~~%5Ccfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%20%5Cright%29%5C%5C%5C%5C%5C%5CA%3D%5Ccfrac%7B8%5Cpi%20%7D%7B3%7D~~%20-%20~~4%5Csqrt%7B3%7D%5Cimplies%20A%5Capprox%201.45)
Answer: Down payment amount = $330
Step-by-step explanation:
Given in the question that Shawn is interested in purchasing a new computer system and he wants to to give a 20% down payment.
Cost of Computer system = $1650
He would like to made a 20% down payment
So, the down payment amount is as follows:
20% of $1650 =
× 1650
= $ 330 ⇒ Down payment amount
The distributive property: a(b + c) = ab + ac
-3(7b + 1) - 4(-b + 3) = -3(7b) - 3(1) - 4(-b) - 4(3)
= -21b - 3 + 4b - 12 = -17b - 15