lol no
just give up in life
The function is used to model real life situation
The value of a is -2000 150 computers must be produced to maximize the profit of $5,000,000 A range of 140 to 160 computers would give the company at least $4,800,000
(a) The value of a
The function is given as:
[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]
The profit on 120 computers is 3200000.
So, we have:
[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]
[tex]\mathbf{3200000 = -1600a}[/tex]
Divide both side by -1600
[tex]\mathbf{a = -2000}[/tex]
Hence, the value of (a) is -2000
(b) The maximum profit
The function becomes
[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
Expand
[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]
[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]
Expand
[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]
Differentiate
[tex]\mathbf{y' = -4000x + 600000}[/tex]
Set to 0
[tex]\mathbf{-4000x + 600000 = 0}[/tex]
Collect like terms
[tex]\mathbf{4000x = 600000}[/tex]
Divide both sides by 4000
[tex]\mathbf{x = 150}[/tex]
Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]
[tex]\mathbf{y = 5000000}[/tex]
150 computers must be produced to maximize the profit of $5,000,000
c) Range when the target is at least $4,800,000
This means that:
[tex]\mathbf{y \ge 4800000}[/tex]
So, we have:
[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]
Collect like terms
[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]
[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]
Divide through by -2000
[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]
Factorize
[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]
Express as inequality
[tex]\mathbf{140 \le x \le 160}[/tex]
A range of 140 to 160 computers would give the company at least $4,800,000
Read more at:
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What is the equation of the line from the graph?
Answer:
y=3
Step-by-step explanation:
All points have the same y coordinate. Or
A line parallel to the x axis has slope 0, so it's y= 0x +3 that becomes y=3
Answer: Y=3
Step-by-step explanation:
The equivalent ratios are 6 : 2, 3 :
,
: 4, 15 :
.
Answer:
Hi freind just it
Step-by-step explanation:
Please answer all of the above thanks ur the best!:)
and please explain how u got the answer on each question! thanks
1. 2 1/3 + 1 3/4
Answer:
4.0833333
Step-by-step explanation:
PLZ give brainliest thanks
fill in the blank to make the fractions equivalent.
4/5 ?/15
Answer:
12/15
Step-by-step explanation:
times 4 by 3 because 5 is timesed by 3
Of the houses in Kimberly's neighborhood, 5/12 are pink and another 1/3 are red. What fraction of the houses are either pink or red?
Answer:9/12
Step-by-step explanation:
You need to make the denominators the same. Multiply the 1/3 by 4 and now you are ready. You add 4/12 and 5/12 together. 9/12 houses on her block are pink/red. You can also simply it down to 3/4.
The perimeter of a scalene triangle is 14. 5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6. 2 cm? A scalene triangle where all sides are of different lengths. The base of the triangle is labeled 2a, is twice that of the shortest side labeled a. The other side is labeled b. Choose the correct answer.
I know u felt offend and I love you so much so much love and hope that not everyone else is going to accept that as a result I am now in a person
Answer:
9.3+ b= 14.5
Step-by-step explanation:
The total student at Shiloh middle school is 1,400 students. If the ratio of boy to girls is 3:4 for the school how many students are boys and how many students are girls
There are 600 boys and 800 girls.
SOLUTION:We are given the following facts:
The total number of students is 1,400.The ratio of boys to girls is 3:4.We express this as a partitive proportion.
» Solve for x.
[tex] \sf 3x + 4x = 1400 [/tex][tex] \sf 7x = 1400 [/tex][tex] \sf x = \frac{1400}{7} [/tex][tex] \sf x = 200 [/tex]Now we to solve for the number of boys and the number of girls.
» Number of boys:
= [tex] \sf 3x [/tex] = [tex] \sf (3)(200) [/tex] = [tex] {\boxed{\sf 600}} [/tex]» Number of girls:
= [tex] \sf 4x [/tex] = [tex] \sf (4)(200) [/tex] = [tex] {\boxed{\sf 800}} [/tex]Thus, there are 600 boys and 800 girls. The sum of these is the total number of students in Shiloh Middle School.
HOPE IT HELPS!#3) Find the measure of arc N).
Answer:
Arc NJ is 65°
Step-by-step explanation:
An entire circle measures 360°
Therefore, add all the given dimensions and subtract the sum to 360
> 150+50+50+45 = 295
> 360-295 = 65
Therefore, the measurement of arc NJ is 65
i need answers thank you
37,162 Divided by 10 to the third power equals what
Answer:
37.162
Step-by-step explanation:
We know that 10 to the third power is 10³ = 1000. When a number is divided by 1000, the decimal point is moved 3 digits to the left. Therefore, we can get 37,162/1000 = 37.162
Evaluate the following expression
a+b divide c
when:
a = 2
b= -3
C= -1
d=5
Show your work by substituting and solving.
Answer:
1
Step-by-step explanation:
a+b divide c -> [tex]\frac{a+b}{c}[/tex]
Plugging in - > [tex]\frac{2+-3}{-1}[/tex]
Simplifying: [tex]\frac{2-3}{-1}[/tex]
Subtracting: [tex]\frac{-1}{-1}[/tex]
Simplifying: 1
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Can someone please give me examples of linear, quadratic, Absolute value, square root, cubic, cube root, exponential, logarithmic, and rational function (parent function) equations to help my friend? Please and thank you. I'll give brainliest to the first person who does all of them and get them right.
Answer:
Step-by-step explanation:
Consider the cube root parent function.
( graph in photo below )
Complete the statements to make them true.
A cube root function will ( 1 ) ________ have an x-intercept and ( 2 ) ________ have a y-intercept.
For the parent cube root function, ( 3 ) ____________ located at .
Answer:
1. always
2. always
3. both intercepts are
the explination photos below
Answer:
I got you
[tex]f(x)=3x+2[/tex]
[tex]f(x)=4x^2+3x+7[/tex]
[tex]f(x)=|x+4|[/tex]
[tex]f(x)=\sqrt{x+12}[/tex]
[tex]f(x)=6x^3+4x^2-3x-5[/tex]
[tex]f(x)=\sqrt[3]{3x-5}[/tex]
[tex]f(x)=2^x[/tex]
[tex]f(x)=log_3(x)[/tex]
[tex]f(x)=\frac{x+5}{x-3}[/tex]
Each function is respective to the order of the list given.
Let me know if you want the graphs
If 11 - 3x = x, then 20x=
Answer:
20x = 55
Step-by-step explanation:
First you have to add 3x to both sides of 11-3x=x
[tex]11-3x=x\\+3x=+3x\\11=4x[/tex]
Now that you have 11 = 4x you divide 4 on both sides [tex]\frac{11}{4} =\frac{4x}{4}[/tex]
11/4 = x
But you can't divide 11 by 4 unless you are looking for the decimal form of 11/4 which is 2.75
so now we take 11/4 or 2.75 depending on if you need your answer in fraction or as a decimal and replace that with x however both will equal the number 55
[tex]20(\frac{11}{4})=55\\20(2.75)=55[/tex]
Does this graph represent a function? Why or why not?
D. Yes, because it is a curved line.
O A. No, because it fails the vertical line test.
• B. No, because it is not a straight line.
O C. Yes, because it passes the vertical line test.
Answer:
c
Step-by-step explanation:
C, because a vertical line will only hit the function on one point at a time.
Answer:
C. Yes, because it passes the vertical line test.
Please arrange these numbers in descending order for me
7.23, 7.32, 7.3, 73
Answer:
73
7.32
7.23
7.3
hope this helps☆☆
answer this asap
1)There are 30 students in a class. 18 are girls. Express the number of girls as a percentage of the
class.
2)What is the probability of choosing the color blue from the colors of the rainbow?
Answer:
1) 18/30×100%=60%
Hope this helps!!!
Answer:
See below
Step-by-step explanation:
Hi there!
Question 1
There are 30 students in total and 18 are girls, making 18/30 of the class girls. To express this as a percent, divide, then multiply by 100:
18/30 = 0.6
0.6 × 100 = 60%
Therefore, 60% of the class is girls.
Question 2
There are 7 colours in the rainbow, making blue 1/7 of the colours of the rainbow.
Therefore, the probability of choosing blue from the colours of the rainbow is 1/7.
I hope this helps!
A sphere has a radius of 4 inches. Determine the effects on the surface area and volume of a sphere when the radius is changed.
Answer:
Step-by-step explanation:
The surface area of a sphere is given by
A=4πr^2
The volume is
V = (4/3)πr^3
At r = 4":
A = 64π in^2
V = 85.3π in^3
At r = 5" (a 25% increase in r)
A = 100π in^2 (a 156.25% increase)
V = 167π in^3 ( a 195.8% increase)
We can show the ratio of these two measures by dividing the Volume by the Area:
V/A = ((4/3)πr^3/(4πr^2))
V/A = (1/3)r
For the 2 examples (4" and 5"), V/A is:
4": (85.3π in^3)/(64π in^2) = 1.33 [(1/3)r = 4/3 = 1.33]
5": (167π in^3)/(100π in^2) = 1.67 [(1/3)r = 5/3 = 1.67]
V/A = (1/3)r
Since Volume is a function of r^3 and Area is related to r^2, Volume will always increase faster, by a ratio of 1/3 r.
Help please :) I’m quite stuck on this one
Answer:
-4-4i
That's the answer for the question
Adam has some marbles.
Bradley has twice as many marbles are Adam.
Chris has 5 more marbles than Bradley.
In total they have 55 marbles.
How many marbles does Chris have?
Answer:
Chris has 25 Marbles
Step-by-step explanation:
If Adam starts with 10, Bradley will have twice as many, meaning Bradley's amount is 20. Making the new total, 30 Marbles. Chris has 5 More Marbles than Bradley, making Chris have 25 Marbles. If you add the total's up, you get 55 Marbles in total.
Hope this helps!!
Write the standard form of the equation of the circle with a radius of 7 and center (2,-4).
(x+2)2+(y-4)2=49
(x-2)2+(y+4)2=49
(x+2)2+(y-4)2=7
(x-2)2+(y+4)2=7
( x - 2 )² + ( y + 4 )² = 49
.........................................
10.
Peter is 1.64 metres tall.
Peter is 18 centimetres taller than Nick.
San
Work out Nick's height in metres.
Answer:
the height of nick is 1.46
Step-by-step explanation:
because to change cm into m we need to divide it by 100so 18/100is 0.18
and total height of Peter is 1.64 so if we -the 0.18then we can get nick's height
Answer:
1.46
Step-by-step explanation:
1.64 to cm is 164
164-18 = 146
146 to meters is 1.46
PLEASE HELP I need the answer please
17. <
18.=
19.>
20.>
21.3.021,3.12,3.121,3.21
22. 1.03,1.03,1.3,1.39
23.
group of 3 people is going on a boat tour. If each boat holds 3 people, how many will boats will the group need?
Answer:
1
Step-by-step explanation:
there are 3 people and 1 boat holds three people
I don’t understand can someone tell me the answer
Answer:
12>x>10
Step-by-step explanation:
-25<-3x+5
-3x+5<-31
Find the value of x and 3x.
x=
3x=
Answer:
Step-by-step explanation:
Sum of all the angles of the polygon = (n -2) *180
= (6 - 2) * 180 = 4 *180 = 720
45 + 135 + 45 + 135 + x + 3x = 720
360 + 4x = 720
4x = 720 - 360
4x = 360
x = 360/4
x = 90
3x = 3*90 = 270
a plumber who is just starting out offers low rates to attract new customers. He charges $35
to visit a client's home, plus an additional $20 per hour.
Write an equation that shows how the cost of a visit, y, depends on its duration in hours, X.
Answer:
y=20x+35
Step-by-step explanation:
if a plumber who is just starting out offers low rates to attract new customers. He charges $35 to visit a client's home, plus an additional $20 per hour. Then y=20x+35 is equation that shows how the cost of a visit, y, depends on its duration in hours, X.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that
a plumber who is just starting out offers low rates to attract new customers
Plumber charges $35 to visit a client's home, plus an additional $20 per hour.
Let the charges per hour be denoted by x.
and it is given that y is cost of a visit.
We are required to write equation for cost of a visit y.
y equal to twenty x plus thirty five.
y=20x+35
Hence if a plumber who is just starting out offers low rates to attract new customers. He charges $35 to visit a client's home, plus an additional $20 per hour. Then y=20x+35 is equation that shows how the cost of a visit, y, depends on its duration in hours, X.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
Graph the lines y=3x+3
~graph
Graph the line using the slope and y-intercept, or two points.
Slope : 3
y intercept = (0 , 3)
graph already attached ✔️
~ nice to help you ^^
Answer:
Step-by-step explanation:
Help!!! I will give brainliest if correct!!!
Ken Has k video games, and Jeff has j video games. If Ken gives 6 video games to Jeff, Ken will have twice as many video games as Jeff. Which equation shows the relationship between k and j?
A: k-6 = 2(j + 6)
B: k - 6 = 2j + 6
C: 2(k - 6) = J
D:2(K - 6) = J + 6
Answer:
D
Step-by-step explanation:
2(k-6)=J+6
Choose the statement that correctly compares their unit rates. A. Tyrone's unit rate is equal to John's unit rate. B. Tyrone's unit rate is 2 more miles per hour than John's unit rate. C. Tyrone's unit rate is 1 more mile per hour than John's unit rate. D. Tyrone's unit rate is 1 fewer mile per hour than John's unit rate.
Answer:
Step-by-step explanation:
Subtract the equations.
3x + 4y = 17
(3x +2y = 3)
-
O A. 6x = 20
O B. -6x = 14
c. 2y = 14
O D. 6y = 20
Answer:
C
Step-by-step explanation: