Answer:
see explanation
Step-by-step explanation:
Given
V =
πr³
Multiply both sides by 3 to clear the fraction
3V = 4πr³ ( divide both sides by 4π )
= r³ ( take the cube root of both sides )
r = ![\sqrt[3]{\frac{3V}{4\pi } }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%20%7D%20%7D)
5 noble fir and 3 douglas fir = $ 420
12 noble fir and 9 douglas fir = $ 1080
Let noble fir be n, and douglas fir be d.
5n + 3d = 420 ..............(i)
12n + 9d = 1080 ...............(ii)
Multiply equation (i) by 3.
3*(5n + 3d) = 3*(420)
15n + 9d = 1260 .............(iii)
Equation (ii) minus (iii)
(12n + 9d) - (15n + 9d) = 1080 - 1260
12n - 15n + 9d - 9d = -180
-3n = -180
n = -180/-3 = 60
Substitute the value of n in (i) 5n + 3d = 420
5*(60) + 3d = 420
300 + 3d = 420
3d = 420 - 300 = 120
3d = 120
d = 120/3 = 40
Therefore Noble fir tree cost $60 while Douglas fir tree cost $40
Answer:
A.) y = 0.005x - 120
B.) You need more than 24,000 clicks to make a profit, or at least 24001 clicks.
Step-by-step explanation:
A.)
1. We know that the amount of money for each click is $0.005, which means that that's the amount of money you need to multiply by the number of clicks (or x) to find the amount of money you're making from the ads.
2. We also know that the cost to keep the website up is 120$, which is a loss of 120 dollars. To find the total profit in a month, you have to subtract whatever the profit from ads was by 120.
3. Since the amount from ads is 0.005 * x minus the cost of the website to be up, 120, the equation for the profit (or y) would be y = 0.005x-120
B.)
Next up is graphing it:
Geometry Way:
1. You can use any online graphing program, or hand graph it (I'll link one that I use in the comments--- Desmos).
2. Graph the equation.
3. Find the value in which that the profit would be 0. Anything more than that would be all of the values in which y is not 0 or negative.
Algebra Way:
1. Plug in 0 for y, or the profit.
2. Simplify. You'll find that when the profit is 0, the amount of clicks would be 24,000. Anything more than that would be positive.
Hope this helped!
Find the greatest common factor which is 9
9(9x^2-3x-2) and then factor the equation in the parenthesis
so the factored equation will be 9(3x+1)(3x-2)
Answer:
Step-by-step explanation:
mean
I think.