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3 years ago

Find the marginal profit of C(x)=5x^2, R(x)=x^3+7x+10 and find all values of x for which the marginal profit is zero.

1 answer:

4 0

Marginal profit, P(x) = R(x) - C(x)

P(x) = x³ - 5x² + 7x + 10

x³ - 5x² + 7x + 10 = 0
If you solve it, you get x = -0.839 where P(x) is zero

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15. Construct the slope-intercept form equation of the line passing through (-5,23) and (10,-5).

Radda [10]

Answer:

15y = -28 x + 205.

Step-by-step explanation:

Slope intercept form of equation is y = mx + c where m is slope and c is the y intercept.

Now slope of line passing through points (-5, 23) and (10, -5):

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-5 -23}{10 + 5} = \frac{-28}{15}$

Now equation of line:

y = mx + c

substituting the value of m in above expression,

$y = -\frac{28}{15} x + c$

Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,

$23 = -\frac{28}{15} \times (-5) + c$

$23 = \frac{28}{3} + c$

$c = 23 - \frac{28}{3} = \frac{69 - 28}{3} = \frac{41}{3}$

So equation of line in slope intercept form:

$y = -\frac{28}{15} x + \frac{41}{3}$

Further solving,

15y = -28 x + 205.

3 0

2 years ago

Combine the like terms to create an equivalent expression

AleksandrR [38]

Answer:

y is the same as 1y. so 9y + 1y = 10y

7 0

2 years ago

Read 2 more answers

4 - t = 3(t-1) - 5 A 3 B 6 C no solution D Identity

Ket [755]

Answer:

Step-by-step explanation:

Given

4 - t = 3(t - 1) - 5 ← distribute and simplify right side

4 - t = 3t - 3 - 5

4 - t = 3t - 8 ( subtract 3t from both sides )

4 - 4t = - 8 ( subtract 4 from both sides )

- 4t = - 12 ( divide both sides by - 4 )

t = 3

7 0

3 years ago

Subtract (-2x² +3x-5) from( 6x2 -4x+2)

Andreyy89

Answer:

8x² - 7x + 7

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

(6x² - 4x + 2) - (-2x² + 3x - 5)

Step 2: Simplify

Distribute negative: 6x² - 4x + 2 + 2x² - 3x + 5
Combine like terms (x²): 8x² - 4x + 2 - 3x + 5
Combine like terms (x): 8x² - 7x + 2 + 5
Combine like terms (Z): 8x² - 7x + 7

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2 years ago

Which of the following statements is false about most checking accounts?

lyudmila [28]

There is no picture for me to check

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2 years ago