So we know that the formula for the area of a rectangle is
.
Now both the length and width of the rectangle increase at 3 km/s, therefore,
![A(t) = (3t+l)*(3t+w). Since the initial length = initial width = 4 km, then the initial area = 16 [tex]km^2](https://tex.z-dn.net/?f=A%28t%29%20%3D%20%283t%2Bl%29%2A%283t%2Bw%29.%20Since%20the%20initial%20length%20%3D%20initial%20width%20%3D%204%20km%2C%20then%20the%20initial%20area%20%3D%2016%20%5Btex%5Dkm%5E2)
. We want to know the time when the area is four times its original area, therefore, our new formula is:
. Plugging in our known
values we have:
![64 [km^2] = (3t + 4 [km])*(3t + 4 [km])](https://tex.z-dn.net/?f=64%20%5Bkm%5E2%5D%20%3D%20%283t%20%2B%204%20%5Bkm%5D%29%2A%283t%20%2B%204%20%5Bkm%5D%29)
The area is four times its original area after <span>\frac{4}{3} s[/tex]</span>.
Answer:
-7
Step-by-step explanation:
f(x)=4x+5
Let x =-3
f(-3)=4*-3+5
Multiply
f(-3)=-12+5
Add
f(-3) = -7
Answer:
<h3>Sample space</h3>
The _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.
207 ÷ 60 = 3 Remainder 27
So 207mins = 3 hours and 27 mins
------------------------------------
Answer: 3 hours 27 mins
------------------------------------
Answer:
The price of fertilizer is $27.5 and potting soil is $5
Step-by-step explanation:
I think that you are asking for the price of each bag of fertilizer and potting soil. And here is my answer:
Given the system of linear:
3s + 4f = 125 <=> f = 31.25 -3/4s (1)
4s + 2f = 75 <=> f = 37.5 -2s (2)
Take (1) -(2) we have:
f -f = 31.25 -3/4s - (37.5 -2s)
<=> 0 = -6.25 + 1.25s
<=> 1.25s = 6.25
<=> s = 5
=> f = 37.5 -2(5) = 27.5
So the price of fertilizer is $27.5 and potting soil is $5
