Let
x--------> the number of dozen of eggs
f(x)-------> the number of eggs
we know that
The domain of the function is the amount of dozens of eggs that Monica can buy
The domain is the interval-------> ![[2,3,4,5,6]](https://tex.z-dn.net/?f=%5B2%2C3%2C4%2C5%2C6%5D)
All integers from 
to 
, inclusive
The range is the interval-------> ![[27, 39, 51, 63, 75]](https://tex.z-dn.net/?f=%5B27%2C%2039%2C%2051%2C%2063%2C%2075%5D)
therefore
<u>the answer is the option</u>
All integers from to , inclusive
The value of a and b from the coordinates are 3 and 5 respectively
<h3>Midpoint of coordinates</h3>
The formula for finding the midpoint of two coordinates is expressed as;
M(x, y) = {x1+x2/2, y1+y1/2}
Given the following coordinates
M(a, 4)
A(1,3)
B(5,b)
Using the formula
a = 1+5/2
a = 6/2
a = 3
Similarly
4 = 3+b/2
8 = 3+b
b = 8-3
b = 5
Hence the value of a and b from the coordinates are 3 and 5 respectively
Learn more on midpoint here: brainly.com/question/18315903
#SPJ1
We are asked to determine the limits of the function cos(2x) / x as x approaches to zero. In this case, we first substitute zero to x resulting to 1/0. A number, any number divided by zero is always equal to infinity, Hence there are no limits to this function.
Answer:
The answer is C.
Step-by-step explanation:
Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.
In this case, the initial postion is a platform 30ft above ground so h0=+30
The initial velocity is 38 ft/s straight up into the air so v0=+38
h(t)=-16t2+38t+30
When the object hits the ground, h=0.
h=-16t2+38t+30=0
Simplifying 8t2-19t-15=0
(8t+5)(t-3)=0
t=-5/8 or 3
As time cannot be -ve, t=3s. The answer is C.
