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4 years ago

Evaluate f(x) = 5x2 - 4x - 9 for f(-2)

Mathematics

1 answer:

Svetllana [295]4 years ago

8 0

Answer:

Step-by-step explanation:

5x^2 -4x -9

5(-2)^2 -4(-2) -9

-10^2 +8 -9

100-1

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Evaluate b^2 c^-1 for b = 8 and c = -4.

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Answer:

8ab-2c2 thats the answer Step-by-step explanation:

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3 years ago

Describe the first step when factoring any polynomial. Why is it the first step? Explain.

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3 years ago

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What is the following quotient? 5/ sqrt 11 - sqrt 3

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4 years ago

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The management of Ditton Industries has determined that the daily marginal revenue function associated with selling x units of t

barxatty [35]

Answer:

(a) The daily total revenue realized from the sale of 210 units of the toaster oven is $6,195.

(b) The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is $1,400.

Step-by-step explanation:

The marginal revenue gives the actual revenue realized from the sale of an additional unit of the commodity given that sales are already at a certain level. The derivative R' of the function R measures the rate of change of the revenue function.

We know that the daily marginal revenue function is given by

$R'(x) = -0.1x+40$

(a) To find the the daily total revenue you must:

Integrate the daily marginal revenue function,

$\int R'(x)dx = \int(-0.1x+40)dx\\\\R(x)=-\int \:0.1xdx+\int \:40dx\\\\R(x)=-0.05x^2+40x+C$ ,

where C is a constant.

Find the value of C, using the fact that if you sell 0 units your daily revenue is $0.

$0=-0.05(0)^2+40(0)+C\\C=0$

$R(x)=-0.05x^2+40x$

The daily total revenue realized from the sale of 210 units of the toaster oven is

x = 210 units

$R(210)=-0.05(210)^2+40(210)\\R(210)=-210^2\cdot \:0.05+8400\\R(210)=-2205+8400\\R(210)=6195$

(b) To find the additional revenue realized when the production (and sales) level is increased from 210 to 310 units you must:

Find the daily total revenue realized from the sale of 310 units

$R(310)=-0.05(310)^2+40(310)\\R(310)=-310^2\cdot \:0.05+12400\\R(310)=-4805+12400\\R(310)=7595$

The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is

$R(310)-R(210)=7595-6195=1400$

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4 years ago

Solve the system of equations. 5y - 4x = -7 2y + 4x = 14 X = Y =

nadezda [96]

Answer:

5y + 2y - 4x + 4x = -7 +14

7y = 7

y = 1

2(1) + 4x = 14

4x = 12

x = 3

Step-by-step explanation:

Using the process of elimination

Add both equations. The 4x will be eliminated since one is positive and one is negative. The equation is left with only the y variable and the constant.

When y is found, input it into the second equation to find x.

8 0

3 years ago