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3 years ago

20. BUSINESS The function f(x) = 1000-0.01x² models the manufacturing cost per item when x items are produced,

Mathematics

1 answer:

tamaranim1 [39]3 years ago

4 0

Answer:

Profit is calculated by subtracting the total cost from the total revenue as expressed in the equation given above as,

P(x) = R(x) - C(x)

If we are to substitute the given expression for each of the terms, we have,

P(x) = x(S(x)) - C(x)

Substituting,

P(x) = x(30 - 0.01x) - (0.15x³ + 0.01x² + 2x + 120)

Simplifying,

P(x) = 30x - 0.01x² - 0.15x³ - 0.01x² - 2x - 120

Combining like terms,

P(x) = -0.15x³ - 0.02x² + 28x - 120

The answer to this item is the second among the choice, number 2.

Read more on Brainly.com - brainly.com/question/6037945#readmore

Step-by-step explanation:

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Please help me out please

IgorLugansk [536]

Answer:

h=20

Step-by-step explanation:

h=3 (V/lw)

h= 3 (960/12*12)

7 0

3 years ago

The formula d = rt gives the distance traveled in time t at rate r. A truck rides for 1.5 hours and travels 76 miles. what was t

riadik2000 [5.3K]

76 miles / 1.5 hours = 50.666 miles an hour

4 0

3 years ago

When two polynomials are subtracted the difference is -4x^2-7x+9. If one of the polynomials is x^2-4x+2, then determine the two

algol [13]

Answer:

The two options are:

-3x² - 11x + 11 and 5x² + 3x - 7

Step-by-step explanation:

When two polynomials are subtracted the difference is

-4x² - 7x + 9

One of the polynomials is

x² - 4x + 2

To get the second polynomial, we an either add x² - 4x + 2 to -4x² - 7x + 9 or subtract -4x² - 7x + 9 from x² - 4x + 2

First Option:

(x² - 4x + 2) + (-4x² - 7x + 9)

= x² - 4x + 2 - 4x² - 7x + 9

= x² - 4x² - 4x - 7x + 2 + 9

= -3x² - 11x + 11

Secons Option:

(x² - 4x + 2) - (-4x² - 7x + 9)

= x² - 4x + 2 + 4x² + 7x - 9

= x² + 4x² - 4x + 7x + 2 - 9

= 5x² + 3x - 7

Therefore, the two options are:

-3x² - 11x + 11 and 5x² + 3x - 7

7 0

3 years ago

I need help plz help me I don't understand

MAVERICK [17]

Understand what exactly??

4 0

3 years ago

I haven't Learned this yet

Cloud [144]

The first 5 terms in an arithmetic sequence is 4,2,0,-2,-4

Explanation:

The general form of an arithmetic sequence is

$a(n)=a+(n-1)d$

where a denotes the first term of the sequence, d denotes the common difference.

Here a = 4 and d = -2

To determine the consecutive terms of the sequence, let us substitute the values for n.

To find the second term, substitute n = 2 in the formula $a(n)=a+(n-1)d$

$a(2)=4+(2-1)(-2)$

Simplifying,

$a(2)=4-2=2$

Similarly,

For n = 3,

$a(3)=4+(2)(-2)=0$

For n = 4,

$a(4)=4+(4-1)(-2)\\a(4)=4+(3)(-2)\\a(4)=4-6\\a(4)=-2$

For n = 5,

$a(5)=4+(5-1)(-2)\\a(5)=4+(4)(-2)\\a(5)=4-8\\a(5)=-4$

Thus, the first 5 terms of the arithmetic sequence is 4,2,0,-2,-4

5 0

3 years ago