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Setler79 [48]
3 years ago
11

A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depen

ds on the number of machines made. If X machines are made, then the unit cost is given by the function C(x)=0.7x^2-462x+88218 .
What is the minimum unit cost?
Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

$11988

Step-by-step explanation:

Given that,

The unit cost is given by :

C(x)=0.7x^2-462x+88218

We need to find the minimum unit cost.

For minimum cost,

Put \dfrac{dC}{dx}=0

So,

\dfrac{d}{dx}(0.7x^2-462x+88218)=0\\\\1.4x-462=0\\\\x=\dfrac{462}{1.4}\\\\x=330

Put x = 330 in equation (1).

C(330)=0.7(330)^2-462(330)+88218\\\\=\$11988

So, the minimum unit cost is equal to $11988.

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Which of the following theorems verifies that WVU= RST
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Answer:

C. HL

Step-by-step explanation:

The Hypotenuse-Leg Theorem is the only viable way to determine congruency between 2 right triangles.

6 0
3 years ago
PLEASE HELP ME OUT IM FAILING. Thx
BARSIC [14]

Answer: <em>x</em>∈(5,∞)

Step-by-step explanation:

x-7>-2=(x-7)+7>-2+7=<em>x</em>∈(5,∞)

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3 years ago
It's easy it's called Two-way tables please help
Vesnalui [34]

Answer: The filled out table is shown below in the attached image

===========================================================

Explanation:

The letters A through J are one way to fill out the table. Though there are other possible orders.

Start at letter A, which is from the fact we have 40 people total

Then move to letter B. This is the total number who like pasta (26)

We have C = A-B = 40-26 = 14 people who don't like pasta

--------------

Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.

F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.

Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.

----------------

So we have these values

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7 0
3 years ago
Arrange the equations in increasing order of the value of their solutions.
DiKsa [7]

Answer:

The answer is below

Step-by-step explanation:

a)

1/4x + 5/2x - 2 = 4 - 1/4x

collecting like terms:

(1/4)x + (5/2)x + (1/4)x = 4 + 2

3x = 6

x = 6/3

x = 2

b)

7.9x + x + 4 = -1.1x - 16

collecting like terms:

7.9x + x + 1.1x  = - 16 - 4

10x = -20

x = -2

c)

3.2x + 5.7 = -2.5x

collecting like terms:

3.2x + 2.5x = 5.7

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x = 1

d)

10.1x - 1.6x + 44 = -7

collecting like terms:

10.1x - 1.6x = -7 - 44

8.5x = -51

x = -6

Hence the equations in increasing order of the value of their solutions is:

10.1x - 1.6x + 44 = -7

7.9x + x + 4 = -1.1x - 16

3.2x + 5.7 = -2.5x

1/4x + 5/2x - 2 = 4 - 1/4x

4 0
3 years ago
Read 2 more answers
On a linear graph, the rate of change is called the ____ of a line
makkiz [27]

Answer:

On a linear graph, the rate of change is called the slope of a line

Step-by-step explanation:

Hope this helps

6 0
2 years ago
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