Answer:
444 thumb drives
Step-by-step explanation:
Break even is the point at which the proceeds are equal to the costs i.e. when Total cost = Total revenue. So using the equations provided, the breakeven point for Burnem Inc. will be 4x + 4884 = 15x, where x is number of thumb drives. We solve for x to get the answer:
4x + 4884 = 15x
4884 = 15x - 4x
4884 = 11x
x = 4884/11
x = 444 thumb drives
Answer:
In the given circle, segments OA, OB, OC and OD are radius of the circle.
In other words, all those segments are congruent.
From that we can deduct that triangles OAB and OCD are isosceles triangles, because all segments are equal. That makes those triangles congruent, because they have the same sides.
From the congruence we can deduct that all corresponding internal angles inside those triangles are actually congruent, that's why angle OAB and ODC must be congruent.
Also, angles DOC and BOA are also congruent, which means their subtended arcs are also congruent, because they have the same radius, so mAB = mCD.
Answer:
The zeros are -1/2, 1/3 and 2.
The factors are (x - 2)(3x - 1)(2x + 1)
Step-by-step explanation:
h(x)= 6x^3 - 11x² - 3x + 2 = 0
As the last term is 2 we try to see if +/-1 or +/- 2 are zeros
f(1) = -6, f(-1) = -18 so they are not zeros.
f(2) = 6*8 - 11*4 - 3(2) + 2
= 48 - 44 - 6 + 2
= 4 - 6 + 2
= 0.
So x = 2 is a zero and x - 2 is a factor.
Dividing by x - 2:
x - 2 ) 6x^3 - 11x² - 3x + 2 ( 6x^2 + x - 1 <--------Quotient
6x^3 - 12x^2
x^2 - 3x
x^2 - 2x
- x+ 2
-x + 2
Factoring the quotient:
6x^2 + x - 1
= (3x - 1)(2x + 1) = 0
x = 1/3, x = -1/2..
Answer:
x = 5
Step-by-step explanation:
<u>Step 1: Multiply out the brackets</u>
48x - 80 - 40x + 80 = 40 → <em>negative + negative = positive [-10 x -8]</em>
<u>Step 2: Simplify</u>
8x = 40 →<em> collect like terms</em>
<u>Step 3: Solve</u>
x = 
x = 5
