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]
Related Questions
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%
To have over 100% of something means that you have more than the original number you had.
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%.
16/5 * 100% = 3.2 * 100% = 320%
"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.
please help!!!
Which number line shows the solutions to n > -2?
Answers
Answer: the first one
Step-by-step explanation:
i don’t understand this , what’s the answer?
Answers
first go down the corridor and then up the stairs
so fist check x and then y axis
2.5 (x axis) which is hours
20 (y axis) earnings
Fill in table using this function rule y= -4x - 2
Answers
Answer:
Step-by-step explanation:
x y
-2 6
-1 2
0 -2
1 -6
2 -10
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:
x^2-20x+100 If you factor it, it would be (x-10)^2
Which of the following is a true statement about the rhombus shown
Answers
Answer:
⟨SPQ= 90°
Step-by-step explanation:
sides of rhombus are perpendicular to each other
OA.
The slope is negative.
OB.
The slope is positive.
Oc.
The slope is zero.
D.
The slope is undefined.
Answers
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,
m = Δy/Δx where, m is the slope
To find the slope take two points from the graph as (0, 4) and (5, 6)
So, Slope of line
= (6-4) / (5-0)
= 2 /5
= 0.4
Thus, the slope of line is positive.
Learn more about slope here:
https://brainly.com/question/17310554
#SPJ7
help been out of school so long don't remember how to do this !
Answers
Answer:
2,1
Step-by-step explanation:
Find where both lines meet. Then the x coordinate comes first then the y .
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?
A. The university surveys students who earned less than a 3.5 GPA.
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:
The ratio of potatoes to turnips is 3:1 if there is 75 potatoes how many turnips are there
Answers
Answer:
25
Step-by-step explanation:
let the total of potatoes and turnips be x
total ratio=1+3
=4
3÷4×x=75
3x=75×3
3x=300
x=300÷3
x=100
Brian is n years old. How old will he be in 47 years?
Algebraic expression
Answers
Answer:
n + 47
Step-by-step explanation:
Let n = Brian's age now.
In 47 years, he'll be 47 years older than he is now.
In 47 years, Brian will by n + 47 years old.
Answer: n + 47
The age of Brian after 47 years will be n + 47.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Brian is n years old.
Then the age of Brian after 47 years will be given as,
⇒ n + 47
The age of Brian after 47 years will be n + 47.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Slope for (-5,-1) (5,0)
Answers
Answer:
(0-(-1))/(5-(-5)) = 1/10
whats -5/8 divided by -5/16
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.
Round 5.096 to the nearest tenths
Answers
Answer: Rounded to the nearest tenths would be 5.1
Please help me with this math question.
Answers
34 cents for brand a
32 cents for brand b
hope this helps im not too sure if im correct
If a polynomial function f(x) has roots -7, 1 and 5i, what must also be a root of f(x)?
a) -5
b) -5i
c) 5+i
Answers
Answer:
-5i
Step-by-step explanation:
I WILL GIVE BRAINLY PLEASE HELP!!
1. Determine f -1 (x) for each of the given functions
f (x) =2x-3
2. Determine f -1 (x) for each of the given functions
f (x) = x over x+2
Answers
Step-by-step explanation:
1) f(x) =2x -3
y=2x - 3
x= 2y -3
2y =x + 3
y = x+3 over 2
f(x)^-1 = x+3 over 2
2) f(x) = x /x+2
y= x / x+2
y / y+2 = x
y = (y+2)x
y= xy +2x
y -xy = 2x
y( -x +1) = 2x
y= 2x over -x + 1
f(x)^1 = 2x over -x + 1
plz help! will give brainliest!!
Answers
Answer:
D) 18 units
Step-by-step explanation:
The ratio is
2 : 3
The actual number values are
12 : ?
Divide 12 by 2 (square A's side) = 6
Multiply 6 by 3 (square B's side) = 18
100 POINT GIVEAWAY!!!! HAVE AN AMAZING DAY!!!!!
Answers
Answer:
yay
Step-by-step explanation:
Answer:
Thx
Step-by-step explanation:
What is the answer I need it ASAP
Answers
Answer:
the 1st one!
Step-by-step explanation:
Which ordered pairs make both inequalities true? Select two options.
y One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)
A. (0, 2)
B. (1, 2)
C. (2, –1)
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:
How would i draw the line y= -x
Answers
Answer:
Hope this helps :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELPP QUICKKK its timedd
Answers
Answer:
10
Step-by-step explanation:
plz help! will give brainliest!!!
Answers
Answer:
1.42 x 105
Step-by-step explanation:
Answer: Each ticket costed 11.75$
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:
[tex]\sqrt{x - 2} + 4 = x\\\sqrt{x - 2} = x - 4\\x - 2 = (x - 4)^2\\x - 2 = x^2 - 8x + 16\\x^2 - 9x + 18 = 0\\(x - 3)(x - 6) = 0\\[/tex]
So x values of 3 and 6 will make this statement true.
100 50 52 26 28 14
what number is next
Answers
Answer:
98 its multiply by 2 then subtract
Answer:
16
Step-by-step explanation: (if its from left to right)
the measure of the angle is..
Answers
Answer:
149
Step-by-step explanation:
149 and the angle beside b are supplementary (Let's call it A)
180-149=A=31
180-31=149
149=B
Mrs. Jagielski has $300 put aside for Christmas shopping. She spent 65% of her money on
Black Friday. How much money does she have LEFT to keep shopping with? *
Answers
Answer:
$195
Step-by-step explanation:
$300*.65 (your precent turns to a decimal) = $195 left
A ferris wheel
completes one
rotation in 495
seconds. How many
seconds will it take
to make 25
rotations?
Answers
Answer:
12375
Step-by-step explanation:
one rotation: 495
25 rotations x 495 seconds
12375 seconds
Answer:
12, 375
Step-by-step explanation:
Multiply
PLSSS HELLPPPP I WILL HIVE BRAINLIEST!!!
Answers
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.