Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue is R(x) = - 0.4{x^3} + 700{x^2} - 600x + 500R(x)=−0.4x 3 +700x 2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answers
Answer:
the answer is A,
P(x) = -0.4x³+100x²-900x+500
Step-by-step explanation:
monthly cost:
[tex]c(x) = 600x {}^{2} + 300x[/tex]
monthly revenue:
[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]
profit function:
[tex]p(x) = r(x) - c(x)[/tex]
[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]
i) remove the first bracket
[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]
ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]
iii) collect like terms
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]
iv) simply the like terms
[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]
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Answer:
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Step-by-step explanation:
149 and the angle beside b are supplementary (Let's call it A)
180-149=A=31
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Step-by-step explanation:
Which of the following is a true statement about the rhombus shown
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Answer:
⟨SPQ= 90°
Step-by-step explanation:
sides of rhombus are perpendicular to each other
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The slope is negative.
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The true statement about the slope is the slope is positive.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
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A ferris wheel
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Answers
Answer:
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Step-by-step explanation:
one rotation: 495
25 rotations x 495 seconds
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Answer:
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Step-by-step explanation:
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what value of b makes the trinomial below a perfect square?
X^2-bx+100
a- 10
b-20
c-5
d-50
Answers
Answer:
Step-by-step explanation:
1. Perfect square trinomials, are 2nd degree polynomials, of the form so that , which can be written as perfect squares.
2. For example
3. Thus are perfect square trinomials.
4.
5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.
6. b∈{-20, 20}
Answer:
b) 20
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Algebraic expression
Answers
Answer:
n + 47
Step-by-step explanation:
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In 47 years, he'll be 47 years older than he is now.
In 47 years, Brian will by n + 47 years old.
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
If a polynomial function f(x) has roots -7, 1 and 5i, what must also be a root of f(x)?
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Answer:
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Step-by-step explanation:
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Answer:
6,000cm^3
Step-by-step explanation:
I don't know if this is correct but, volume is LxWxH and for each rectangular prism, it is 20cm x 10cm x 15cm. So each rectangular prism is 3,000cm^3 and you add them together, you get answer.
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Answer:
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Answer:
16
Step-by-step explanation: (if its from left to right)
Mrs. Jagielski has $300 put aside for Christmas shopping. She spent 65% of her money on
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Answers
Answer:
$195
Step-by-step explanation:
$300*.65 (your precent turns to a decimal) = $195 left
I WILL GIVE BRAINLY PLEASE HELP!!
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Answers
Step-by-step explanation:
1) f(x) =2x -3
y=2x - 3
x= 2y -3
2y =x + 3
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y / y+2 = x
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Answers
Answer: the first one
Step-by-step explanation:
Which ordered pairs make both inequalities true? Select two options.
y One-halfx + 1
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D. (2, 2)
Answers
Answer:
d
Step-by-step explanation:
i took the test
Answer:
I just did this test, its 1,2 and 2,2
Step-by-step explanation:
What is the solution to the equation ? (x - 2) ^ (1/2) + 4 = x
Answers
Answer:
x is equal to both 3 and 6.
Step-by-step explanation:
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Answers
Answer:
D) 18 units
Step-by-step explanation:
The ratio is
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Answers
Answer:
-2 is the answer
Step-by-step explanation:
i hope this helped
Answer:
2
Step-by-step explanation:
Make a common denominator so -5/8 would be -10/8. It is now -10/16 divided by -5/16. Cancel out the 16 and you get -10 divided by -5. The answer is 2. Brainliest would be nice if I helped you out. Thanks.
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Answer:
25
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
A university wants to conduct a sample survey to determine the average number of students who earned a GPA higher than 3.5. Which of the following survey methods is most likely to produce valid results?
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B. The university surveys every other student who earned more than a 3.5 GPA.
C. The university surveys 600 randomly selected students who attend the university.
D. The university selects one department and surveys all of its students
Answers
Answer:
C. The university surveys 600 randomly selected students who attend the university.
Step-by-step explanation:
Your friend estimated that it would take 5 hours to finish an art project. It actually took him 16 hours to finish the project. The amount of time it took to finish the project was % of the estimated time Use pencil and paper. What does it mean to have more than 100% of something? Give at least two examples The amount of time it took to finish the project was % of the estimated time (Type an integer or a decimal.)
Answers
Answer:
320%
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Step-by-step explanation:
Step-by-step explanation:
To find what percent a first number is of second number, divide the first number by the second number and multiply by 100%.
To find what percent 16 is of 5, divide 16 by 5 and multiply by 100%.
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"Percent" literally means "per 100."
100% means 100 out of 100, and means an entire amount.
More than 100% percent means more than the entire amount.
5 hours was the estimated time. 100% of 5 hours is 5 hours, the entire amount. More than 100% is more than the entire amount, so it is more than 5 hours. 16 hours is certainly much more than 5 hours, and it is 320% of 5 hours.
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Answers
Answer:
(0-(-1))/(5-(-5)) = 1/10
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Answer:
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Step-by-step explanation:
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Step-by-step explanation: