2x³+18x²<span>-18x-162 =
2(</span>x³+9x²-9x-81)=
2(x²(x+9)-9(x+9))=
2(x²-9)(x+9)=
2(x+3)(x-3)(x+9)
Answer: k=3
To find the average over 5 times, we have to divide the total by 5. Therefore, 260/5 = 52 = the average change in your account balance each trips. 260 = amount of money you withdraw, 5 = number of trips made by the ATM. We need to divide due to that if something is spread out equally 5 times, what you get in one time clearly won't be all of it
Answer:
Only whole numbers of people, n, are assumed in the calculation.
Step-by-step explanation:
The function relating the number of people, n, to the revenue, r, implicity assumes that only whole people will purchase tickets. 13.5 would mean that 13 normal people and 1/2 of a person bought tickets. This can't be in the domain, since the ticket saleperson would run away if 1/2 of a person showed up: thus no ticket sale.
Actually, it may depend on how one defines a person. Is it 1/2 physically, or 1/2 mentally? I've personally seen the latter show up at some fundraisers.
2W + 2L = 820
<span>LW = 42,000 or L = 42,000/W </span>
<span>substitute second equation into first equation: </span>
<span>2W + 2(42,000/W) = 820 </span>
<span>2W + 84,000/W = 820 </span>
<span>2W^2/W + 84,000/W = 820W/W </span>
<span>2W^2 - 820W + 84,000 = 0 </span>
<span>quadratic formula: </span>
<span>W = [820 +/- SQR(672,400 - 4(2)(84,000))]/2(2) </span>
<span>W = [820 +/- 20]/4 </span>
<span>W = 200, 210 </span>
<span>using second equation: </span>
<span>L = 42,000/200, 42,000/210 = 210, 200 </span>
<span>The dimensions of the parking lot are 200ft by 210ft.</span>
The side of the congruent side of the triangle should be greater than 7 feet.
