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brilliants [131]
3 years ago
13

B 4 10 b = ✓ [?] Pythagorean Theorem: a2 + b2 = c2

Mathematics
1 answer:
MrRissso [65]3 years ago
4 0
Download the app photo math
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A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x i
steposvetlana [31]

Answer:

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

C = - 5x ^ 3 + 6x ^ 2 + 15x \\\\\Rightarrow -5x^3+6x^2+15x -C=0\cdots(i)

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

-5x^3+6x^2+15x -14=0\cdots(ii)

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

(x-2)(-5x^2-4x+7)=0 \\\\\Rightarrow x-2=2 \; or \; -5x^2-4x+7=0

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

-5x^2-4x+7=0 \\\\\Rightarrow x= \frac {-(-4)\pm \sqrt {(-4)^2-4\times (-5)7}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm \sqrt {156}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm 12.49}{2\times (-5)} \\\\\Rightarrow x = \frac {4+ 12.49}{2\times (-5)}, \frac {4- 12.49}{2\times (-5)} \\\\\Rightarrow x = -1.649, 0.849

As the number of items cant be negative, so x= 0.849 thousand is the other number of items.

Hence, the other number of items for the same profit is 849 items.

4 0
3 years ago
If <0 <90 and cos0=11/15 what is the value of sin (90-0)
Zarrin [17]
Check the picture below.

3 0
3 years ago
Write an equation of the line that passes through the given points.
garik1379 [7]

Answer:

y=-2x+1

Step-by-step explanation:

to find the slope use the formula (y2-y1)/(x2-x1)

-5-3= -8

3-(-1) = 4

-8/4 = -2

8 0
3 years ago
What is the volume of this cylinder?
scoundrel [369]

Answer:

131.88

Step-by-step explanation:

Volume of cylinder: pi r^2h

D=2r=6

R=3

V=3^2x3.14x7=131.88

8 0
3 years ago
What is the simplified expression for 4^4 x 4^3/4^5
slava [35]
4^2 is the correct answer
7 0
4 years ago
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