It is in need of ignoring the absolute value sign when solving differential equations because they may interfere with the solution or in a way that the values that are being calculated may have a different answer in which is not the right answer to the given equation.
Answer:
(a) {-3, 2}
(b) {3, 4}
Step-by-step explanation:
The high points are (-3, 3) and (2, 4).
The x-values at which the function has a local maximum are {-3, 2}.
The local maximum values are {3, 4}.
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Your answer box probably doesn't want the curly brackets and maybe not the spaces, either. Those brackets are used to identify a <em>set</em> of values.
The initial dimenssions of the park lot are:
length: 140 ft
width: 90 ft
initial area: 140 * 90 = 12,600 ft^2
Area increased 29% = 12,600 * 1.29 = 16,254 ft^2
width of the strips: x
New length: 140 + x
New width: 90 + x
New area: (140+x)(90+x) = 16,254
Solution of the equation:
12600 + 230x + x^2 = 16254
=> x^2 + 230x - 3654 = 0
Use the quadratic formula.
x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =
x = 14.92
The other solution is negative so it is discarded.
Answer: 15 ft
Answer:
The answer is : 70288.46
Step-by-step explanation:
Your father earned $34,000 per year in 1984.
The CPI in 2014 is 215 and the CPI in 1984 is 104.
The CPI or consumer price index examines the weighted average of prices of goods and services like transportation, food etc.
The Current income equivalent will be = value in 1984 X ( CPI in 2014/CPI in 1984)
= 70288.46
answer:
mean: 15.8
median: 12
mode: no mode
range: 27
step-by-step explanation:
- first know how to find each of the above and what they are
- mean = (avg) add all the numbers, then divide by the number of numbers
- median = the middle number from increasing order
- mode = the one that repeats the most
- range = the difference between the largest and smallest number
8, 35, 10, 12, 14
<u>mean</u>
8 + 35 + 10 + 12 + 14 = 79
79 / 5 = 15.8
<u>median</u>
- put them from smallest to largest
8, 10, 12, 14, 35
- 12 is the median OR the middle number
<u>mode</u>
- no number repeat, so no mode
<u>range</u>
35 - 8 = 27
