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
I need help what r these coin?
Answers
Answer:
those are called quarters
Answer:
Well Caden has 3 quarters (which . 75 cents since they are .25 cents a piece ), he also has a dime, (which is .10 cents ) and also a nickel. ( which is .5 cents)
Caden: .75+.10+.5= $1.00
Eden has a quarter (.25 cents), 2 dimes (.20 cents) and 2 nickels ( .10 cents )
Eden : .25+.20+.10= .55 cents
Harper has 2 quarters (.50 cents), 2 dimes ( .20 cents) and 2 nickels( .10 cents)
Haper: .50+.20+.10= .80cent s
Step-by-step explanation:
I hope this helps and if it does please mark me the brainliest! Peace and love
Rohan buys 1 dozen pens for 180 and Saurav buys 7 pens for 390. Who bought costlier pens
Answers
Answer:
saurav
Step-by-step explanation:
1 dozen of pen is = 12.
12 = 180
7 = 390
I'm stuck with this question
Answers
Answer:
Store A = 3.17
Store B = 3.25
Step-by-step explanation:
Hope this helps!
if I have a 15 gallon tank what percentage is in tank if it only takes 12 gallons to fill it
Answers
Step-by-step explanation:
12/15 * (100%)
= 4/5 * (100%)
= 4 * 20%
= 80%
Please gimme brainliest
what’s the answer to this ?
Answers
Answer:
the answer should be [tex]-20.2m - 11.8[/tex]
Step-by-step explanation:
55% means 55 out of 100. Write 55% as a fraction in simplest form. Is it 55/100 plz give me an explanation.
Answers
Which expression is equivalent to the one below? 6 ÷ 5
A 6:1/5
B 5:1/6
C 5/6
D 30
Answers
Answer:
option A
Step-by-step explanation:
6:1/5 can also be written as 6/1÷5 which equals to 6÷5
Answer:
Option A is equivalent to the expression.
what is the quotient of 5 and 5 and 2 more
Answers
Answer:
12
Step-by-step explanation:
i am not sure a just add 5 +5+2
Andrew swims 22 laps at the same rate, how long does it take him
Answers
Answer:
who knows
Step-by-step explanation:
who knows
Find the unit rate. Round to the nearest hundredth, if necessary.
$5.99 for 12 lb
Answers
HELP! The opposite of a number is always located on the opposite side of the number line and is an equal distance from zero.
True
False
Answers
Answer:
True
Step-by-step explanation:
.
Answer:
.
very true
.
Step-by-step explanation:
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Simplify 8 - (14) please help
Answers
Answer:
The answer is - 6 hope this helped
I need help with algebra 2
Answers
Answer:
Lucky you I am taking Algebra 2 right now. Whats ur question??
Step-by-step explanation:
Question 4
At the beginning of each quarter, $100 is deposited into a saving account that pays 12% compounded monthly.
Find the future value (compound amount) of annuity for two years.
Answers
Answer:
$288
Step-by-step explanation:
12% monthly
144% yearly.
100*1.44*2 = all
all = 288
Hope this helps plz hit the crown :D
What is the equation relating x and
y together?
y
1
2
3
4
5
25
23
21
19
17
y=-2x + [?]
Answers
Answer:
ommmm I have no idea Butt 1 of my fav numb is 17 so pick that
1
What is the y-intercept of a line that has a slope of 4 and passes through point (8, 3)?
3
Ο Ο Ο Ο
11
Answers
Answer:
The slope-intercept form: y = mx + b
m - a slope
b - y-intercept
We have a slope m = 1/4. Substitute: y = 1/4 x + b
We know, the line passes through point (8, 3) → x = 8, y = 3.
Put the values of x and y to the equation of the line:
1/4 · 8 + b = 3
2 + b = 3 |-2
b = 1
Answer: y-intercept is (0, 1)
Step-by-step explanation:
State whether a cumulative frequency, relative frequency, relative percent, cumulative relative frequency, or cumulative percent is most appropriate for describing the following situations. For cumulative distributions, indicate whether these should be summarized from the top down or from bottom up.
a. The frequency of business with at least 20 employees.
b. The frequency of college students with less than a 3.0 GPA.
c. The percentage of women completing 1, 2, 3, or 4 tasks simultaneously.
d. The proportion of pregnancies performed in public or private hospitals. e. The percentage of alcoholics with more than 2 years of substance abuse.
Answers
Step-by-step explanation:
a. The correct answer is 1) Cumulative frequency.
b. The correct answer is 2) Relative frequency.
c. The correct answer is 4) Cumulative relative frequency.
d. The correct answer is 3) Relative percent.
e. The correct answer is 5) Cumulative percent.
Pls anserw the pic attached below
Answers
Answer:
[tex]x=38[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\\angle KLO=134\\\angle OMN= 84\\Hence\ we\ observe\ that,\\\angle KLO\ and\ \angle OLM\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\\angle KLO\ + \angle OLM=180\\Substituting\ \angle KLO=134,\\134+\angle OLM=180\\\angle OLM=180-134\\\angle OLM=46\\Similarly,[/tex]
[tex]\angle OMN\ and\ \angle OML\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\\angle OMN\ + \angle OML=180\\Substituting\ \angle OMN=84,\\84+\angle OLM=180\\\angle OLM=180-84\\\angle OLM=96\\[/tex]
[tex]Now\ lets\ consider\ \triangle OML,\\\angle OLM + \angle OML+ \angle LOM=180 [Angle\ Sum\ Property\ Of\ a\ triangle]\\Hence\ substituting\ \angle OLM=46, \angle OML=96, \angle LOM=x\\46+96+x=180\\142+x=180\\x=180-142\\x=38[/tex]
I am terrible at fractions will anyone help me out please and thank you?
Answers
Answer:
2
3
4
Step-by-step explanation:
Gochu
PLEASE HELP problem is in the picture, algebra 2 will mark BRAINLIEST
Answers
Answer:
a) x^(2) + 2x + 1
b) x^(2) + 1
c) 16
d) 1
Step-by-step explanation:
f(x) = x^(2)
g(x) = x + 1
a)
f(g(x))
input g(x) into f(x)
f(x+1) = (x+1)^(2)
= x^(2) + 2x + 1
b)
g(f(x))
input f(x) into g(x)
g(x^(2))
x^(2) + 1
c)
f(g(3))
Use the equation found in part a, substitute in 3 for x
(3)^(2) + 2(3) + 1
= 9 + 6 + 1
= 16
d)
Use the equation found in part a, substitute in 0 for x
(0)^(2) + 2(0) + 1
= 0 + 0 + 1
= 1
I need help finding witch one is right
Answers
Answer:
I believe it's B!
Step-by-step explanation:
y=mx+b
y intercept is b
slope is m
y intercept is positive 5
slope is down 2 to the right 3
y= -2/3x+5
Answer:
The answer is B.
Step-by-step explanation:
In a slope form equation, y = mx + b where m represents gradient and b is y-intecept. In the graph above, the line shows a negative gradient and the y-intercept is 5. So the possible option is B.
HELPPPPPPPP PLZZZZZZX
Answers
Answer:
ur answer should be BStep-by-step explanation:
Martez wants to buy the latest Playstation 5 game that costs $61.09. How much change does he receive if he gives the cashier $65?
Write your equation and write your answer as a complete sentence. Justify your answer.
Answers
Answer:
He recieves $3.91
Step-by-step explanation:
A polygon is graphed on a coordinate plane, with a vertex located at
a point represented by (x,y).
The polygon is dilated with a scale factor, a , with the origin as the
center of dilation. The dilated image of the polygon is larger than
the polygon.
Which statement is true?
Answers
Answer:
a is greater than 1
Step-by-step explanation:
Let the two polygons be represented as A and B.
Where A is the original polygon and B is the image of A
Such that
Polygon A has vertex (x,y) and scale factor = a
From the question, we understand that polygon B is bigger than A
When the dilated image (polygon B) is bigger than the original image (polygon A), then the scale factor is greater than 1.
Take for instance.
One of the coordinate point of polygon A is (2,4)
The corresponding coordinate point of polygon B will be greater than (2,4) because a is greater than 1.
Take a as 2:
The corresponding point on Polygon B would be 2 * (2,4) = (4,8)
Which statement is true about points located in quadrant Ill in the coordinate
plane?
O A. The x-coordinate is negative, and the y-coordinate is positive.
B. The x-coordinate is positive, and the y-coordinate is negative.
C. The x-coordinate is negative, and the y-coordinate is negative,
D. The x-coordinate is positive, and the y-coordinate is positive.
Please answer TODAY DEC 15
I WILL GIVE 100 POINTS TO THE FIRST PERSON THAT ANSWERS
Answers
Answer: C
Step-by-step explanation
I Think Its C
Angie has a car worth $18,200. She has $525 in cash, and $2,800 in her savings account. Her only debt is the loan she took out to buy the car. If angie's net worth is $9,025, what is the amount of her loan? answer Choice: A. $5,850 B. $9,025 C. $11,825 D. $12,500. Please help:)
Answers
Step-by-step explanation:
18,200
-12,350
5,850 (A) 5,850
Plz I need help u get brainliest if right when I’m done
Answers
Answer:
-2/5
Step-by-step explanation:
-4/5 ÷ 2
-4 /5 × 1 /2
-4 × 1
5 × 2
-4 /10
-4 ÷ 2
10 ÷ 2
–2 /5
Give the domain and range.
a. domain: {-2, 0, 2), range: {4, 6, 8}
b. domain: {0, 2), range: {6, 8}
c. domain: {4, 6, 8), range: (-2, 0, 2}
d. domain: {6, 8), range: {0, 2}
Answers
Answer:
a no is correct answer of the question
The minute hand of a clock is 4 inches long. How far does the tip of the minute hand move in 35 minutes? If necessary, round the answer to two decimal places.
Answers
Answer:
14.66 inches
Step-by-step explanation:
Calculation for How far does the tip of the minute hand move in 35 minutes
The tip of a minute hand will always travels at 360 degrees in an hour ( 60 minutes)
Hence, the tip of the minute hand
distance will be calculated using this formula
Circumference of a circle=2*π*Radius* Clock Tip hand movement/Number of minutes per hour
Let plug in the formula
Circumference of a circle==2*π*4 inches*35 minutes/60 minutes
Circumference of a circle= =2*π*4 inches*0.58333
Circumference of a circle==14.659 inches
Circumference of a circle==14.66 inches (Approximately)
Therefore How far does the tip of the minute hand move in 35 minutes will be 14.58 inches
Right 2 units and down 7 units
Answers
Answer:
-3.5
Step-by-step explanation:
Rise over run