Answer:
x ≤
Step-by-step explanation:
So first you would start by getting rid of the -4. To get rid of -4, you would need to + 4 on each side leaving you with -2x ≤ 15. Now you need to get rid of -2 from x so that would convert equation to x ≤ . Hoped it helped!
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The function
f(x) is even
g(x) is neither even nor odd
h(x) is odd
Steps:
for an even function it holds that f(-x) = f(x):
f(-x) = (-1)^6 x^6 - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even
for an odd h(x) it holds that h(-x) = -h(x):
It is easy to show that g(x) does not match any of the two possibilities above.
Answer:
12.123
Step-by-step explanation:
You want the area under the curve f(x) = √(3x+5) on the interval [0, 4] estimated using the left sum and four subintervals.
<h3>Riemann sum</h3>When the interval [0, 4] is divided into four equal parts, each has unit width. That means the area of the rectangle defined by the curve and the interval width will be equal to the value of the curve at the left end of the interval.
The area we want is the sum ...
f(0) +f(1) +f(2) +f(3)
As the attachment shows, that sum is ...
area ≈ 12.123 . . . square units
__
<em>Additional comment</em>
The table values in the attachment are rounded to 7 decimal places. Trailing zeros are not shown. Actual values used have 12 significant digits, as the total shows.
Such a sum is called a Riemann sum, named for a German mathematician. Four such sums are commonly used, and further refinements are possible. Those are the left sum (as here), the right sum, the midpoint sum, and a sum using a trapezoidal approximation of the rectangle area.
For left, right, and midpoint sums, n function values are required for n subintervals. When the trapezoidal approximation is used, n+1 function values are required.
Answer:
For Model A12:
Break even point (units) = 6600 x (58/100) = 3828 units
For Model B22:
Break even point (units) = 6600 x (27/100) = 1728 units
For Model C124:
Break even point (units) = 6600 x (15/100) = 990 units
Step-by-step explanation:
A)
Calculation of total break even unit is given below:
Break Even units = \frac{fixed\ expenses}{contribution\ margin\ per\ unit}
where contribution per unit is given as
Contribution margin per unit = selling price per unit - various expenses per unit
Therefore,
For Model A12:
Contribution margin per unit = $52 - $41 = $11
For Model B22:
Contribution margin per unit = $109 - $75 = $34
For Model C124:
Contribution margin per unit = $403 - $310 = $93
As, sales mix of given model is given as 58:27:15,
therefore total contribuition per unit is
Total contribution margin per unit = {$11 x (58/100)} + {$34 x (27/100)} + {$93 x (15/100)}
= $6.38 + $9.18 + $13.95
= $29.51
Total break even units
= 6600 units
(B) Break point for each model;
For Model A12:
Break even point (units) = 6600 x (58/100) = 3828 units
For Model B22:
Break even point (units) = 6600 x (27/100) = 1728 units
For Model C124:
Break even point (units) = 6600 x (15/100) = 990 units