Soultion:
x=4
step by step
(4+6)(4+2)=60
Answer:
$142.26 - x ≥ $30
x ≤ $112.26
Step-by-step explanation:
Let the amount you can write on your next check without being charged a fee be x.
Given that you are to have at least $30 in your account or else you are charged a fee then
$142.26 - x ≥ $30
To solve, collect like terms
-x ≥ $30 - $142.26
-x ≥ -$112.26
x ≤ $112.26
Note that on dividing both sides by -1, the sign changes from greater than to less than.
Answer: V = ![\frac{64}{3}\pi](https://tex.z-dn.net/?f=%5Cfrac%7B64%7D%7B3%7D%5Cpi)
Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:
V =
Δx
Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:
V = ![\int\limits^a_b {\pi. y^{2} } \, dx](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20%7B%5Cpi.%20y%5E%7B2%7D%20%7D%20%5C%2C%20dx)
Then, for the region generated by y = - x + 4:
V = ![\int\limits^4_0 {\pi.(-x+4)^{2} } \, dx](https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_0%20%7B%5Cpi.%28-x%2B4%29%5E%7B2%7D%20%7D%20%5C%2C%20dx)
V = ![\pi.\int\limits^4_0 {(x^{2}-8x+16)} \, dx](https://tex.z-dn.net/?f=%5Cpi.%5Cint%5Climits%5E4_0%20%7B%28x%5E%7B2%7D-8x%2B16%29%7D%20%5C%2C%20dx)
V = ![\pi.(\frac{x^{3}}{3}-4x^{2}+16x )](https://tex.z-dn.net/?f=%5Cpi.%28%5Cfrac%7Bx%5E%7B3%7D%7D%7B3%7D-4x%5E%7B2%7D%2B16x%20%29)
V = ![\pi.(\frac{4^{3}}{3}-4.4^{2}+16.4 - 0 )](https://tex.z-dn.net/?f=%5Cpi.%28%5Cfrac%7B4%5E%7B3%7D%7D%7B3%7D-4.4%5E%7B2%7D%2B16.4%20-%200%20%29)
V = ![\frac{64}{3}.\pi](https://tex.z-dn.net/?f=%5Cfrac%7B64%7D%7B3%7D.%5Cpi)
The volume of the revolved region is V =
Answer:
14:15
Step-by-step explanation: By reading the sentence carefully you should be able to get the first number and the second number. The sentence should tell you how to set it up.
Answer:
(2, 4)
Step-by-step explanation:
Midpoint Formula: ![(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%20%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%20%29)
Simply plug in your coordinates into the formula:
x = (5 - 1)/ 2 = 4/2 = 2
y = (5 + 3)/2 = 8/2 = 4