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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Factorise fully
gcse maths
please help
Answer:
Step-by-step explanation:
Numbers: HCF of 18 and 30
18: 2 * 3 * 3
30:2 * 3 * 5
HCF: 2 and 3 = 6
a: a * a and a.
HCF = a
b: b
c: c and c*c
HCF: C
Answer: 6*a*b*c(3a + 5*c)
Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.
answer the question in the picture
Answer:
A and D
Step-by-step explanation:
Rational numbers that can be written as a fraction of two integers (without a denominator of 0).
The other three cannot be written as a fraction or two integers.
100 PTS! HELP QUICK!!
Answer:
x=1
Step-by-step explanation:
how to work out 12.5% of a number
Step-by-step explanation:
12.5÷100 × 5
=0.125×5
=0.625
quotient rule
fill in the blank
to divide two powers with the same base, ___ the exponent of the ______ from the exponent of the ______ and keep the same base
Answer:
add
subtract
multiply
Step-by-step explanation:
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
Find the ending balance if $500 was deposited at 5% annual interest compounded quarterly for 3 years.
Answer:
$575 ,
Step-by-step explanation:
5% of $500 is only $25
multiply that by 3YRS due to annual interest it would amount too
an addition $75 dollars so the answer is $575
I just need help simplifying
Answer:
(x - 2) / (x - 1)
Step-by-step explanation:
(x - 2)(x + 3) / (x - 1)(x + 3) <-- factor top and bottom
(x - 2) / (x - 1) <-- cancel out x + 3
Two trains, Train A and Train B, weigh a total of 436 tons. Train A is heavier than Train B. The difference of their weights is 242 tons. What is the weight of each train?
Answer:
Train A: 238 Train B: 194
Step-by-step explanation:
436-242=194-436=-238
Flip the sign for 238 and you get your answer.
(This might not be correct)
Also need this answer. Thank you so much!!!!!!!!
Answer:
5
Step-by-step explanation:
h(w)=2(1)+3
h(w)=2+3
h(w)=5
please give me brainliest think took some thinking
The area in square feet of a rectangular field is x^2-80x+1500. the width, in feet, is x-30. what is the length in feet.
Answer:
Step-by-step explanation:
Area = x² - 80x + 1500
= x² -30x - 50x + 1500
= x(x - 30) - 50(x - 30)
= (x -30) (x - 50)
Length =(x -50) ft
how do i solve -3x--3+8x-24=6x+7-5x
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]-3x--3+8x-24=6x+7-5x[/tex]
Two negative signs equate to a positive sign, so we can write [tex]--3[/tex] as just [tex]3[/tex]:
[tex]-3x+3+8x-24=6x+7-5x[/tex]
Add up similar terms:
[tex]5x-21=x+7[/tex]
Add 21 to both sides:
[tex]5x-21+21=x+7+21[/tex]
[tex]5x=x+28[/tex]
Subtract x from both sides:
[tex]5x-x=x+28-x[/tex]
[tex]4x=28[/tex]
Divide both sides by 4:
[tex]\frac{4x}{x} =\frac{28}{4}[/tex]
[tex]x=7[/tex]
(-5,1) and (-5,4) what is the slope of the line that passes through the given points
Answer:
Undefined
Step-by-step explanation:
I always like to take a good look at the points before I go about solving for the line. To me, it looks like this is going to be a vertical line. Why do I think that? Well, for each point, the x-value is -5. Since this is a linear function, every other point must also have an x-value of -5. So, our line would be straight up and down, going through the x-intercept (-5, 0). Let's try out this theory by subtracting our y-values and then our x-values, then dividing:
[tex]\frac{4-1}{-5-(-5)} =\frac{3}{-5+5} =\frac{3}{0}[/tex]
And that makes sense! Functions that show up as vertical lines are undefined, since their slopes always have 0 as a denominator, and anything divided by 0 turns out to be undefined. So, that's our answer - the slope is undefined.
Hopefully that's helpful! :)
Answer:
undefined
Step-by-step explanation:
(-5, 1) and (-5, 4) lie on the same vertical line.
A vertical line has undefined slope.
A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82
A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82
3. George is at the craft show selling homemade ice cream. He must pay
$45 for a booth rental and costs him $3.50 to make each Ice cream
cone. He sells each ice cream cone for $5.00.
The inequality 45 + 3.50c < 5c represents the situation in which George
makes a profit
a). Will George make a profit if he sells 29 cones? Explain why or why not.
Answer:
no 146.5 > 145
Step-by-step explanation:
Using the slope program, create the line y = 2x. Keeping the line the same, move one (or both) of the points so the triangle created by the points has a vertical length of 10 units. What is the horizontal length? Does this horizontal length match the answer you found in the previous question?
Answer:
x = 5 unitsStep-by-step explanation:
Use the proportion we have to find the horizontal length:
y = 2xWhen y = 10, the value of x is:
10 = 2xx = 10/2x = 5[tex]\\ \sf\longmapsto y=2x[/tex]
Vertical length=yHorizontal length=xPut y=10 in equation
[tex]\\ \sf\longmapsto 10=2x{/tex]
[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]
[tex]\\ \sf\longmapsto x=5units[/tex]
HIGH POINTS/WILL MARK BRAINLIEST
Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x^7– 8x^6– 3x^5– 3
Answer:
The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.
Find the value of x in the equation below. 2.7+x=11.7
Have i done this right, why did i not get the third mark
Answer:
because you are good with math
Step-by-step explanation:
You are buying mouthwash at your local store. The price of the mouthwash is $4.39. It is currently on sale for 20% off. You also have a store coupon for $1.00 off and a manufacturer's coupon for $1.25 off. What is your subtotal?
Answer:5.68 dollars amirikan
Step-by-step explanation:
Given that price of the mouthwash is $4.39. It is currently on sale for 20% discount. You also have a store coupon for $1.00 off and a manufacturer's coupon for $1.25 off. The subtotal you need to pay is $1.262.
What is discount?The term discount refers to the amount or percentage deducted from the normal selling price of something. The discount means a reduction in the price of a good or service.
Discount = Marked price - Selling price
The mouthwash is at sale for 20% off.
Cost price = $4.39
Discount = 20% of $4.39 = $0.878
Total discount = 20% off + store coupon + manufacturer's coupon = $0.878 + $1.000 + $1.250 = $3.128
Selling price = Marked price - Discount = $4.39 - $3.128 = $1.262
Learn more about discount here
https://brainly.com/question/3541148
#SPJ2
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
y=x-7
6x-6y=-7
elimination method
Answer:
The system has no solutions.
Step-by-step explanation:
Let's write it in a more traditional form
[tex]\left \{ {{x-y=7} \atop {6x-6y=-7}} \right. \\[/tex]
Try staring at it for a bit, and then realize what you are being asked: find two numbers whose difference is - at the same time, 7, and -7/6. That's impossible.
Same result you get by elimination. Multiply the first by 6 and either add or subtract - your choice the second. In either case you will get 0 = 35 or 0=49, which are obviously absurd
Suzanne has 15 books and will buy 3 more each month. Jack has 57 books and will sell 4 books each month. After how many months will they have the same number of books? How many will that be?
They would both have the same number of books after 6 months.
The number of books they would have is 33.
This expression can be used to determine the number of books Suzanne would have after x months: 15 + 3x
This expression can be used to determine the number of books Jack would have after x months: 57 - 4x
In order to determine the month in which both people would have the same number of books, equate both expressions.
15 + 3x = 57 - 4x
Combine similar terms
3x + 4x = 57 - 15
7x = 42
Divide both sides b y 7
x = 6
Number of books they would have : 15 + 3(6) = 15 + 18 = 33
A similar question was answered here: https://brainly.com/question/21014980?referrer=searchResults
solve pls brainliest
Simplify the scale 5mm: 1 meter , writing your answer in ratio form.
Answer:
1 : 200
Step-by-step explanation:
To get an answer in ratio form, we must convert meters into millimeters or we can convert millimeters to meters. Then we can get our answer.
Step 1: Convert.
=> 5 millimeters : 1 meter
=> 5 millimeters : 1000 millimeters
Step 2: Simplify.
=> 5 millimeters : 1000 millimeters
=> 1 millimeter : 200 millimeters
Key Note: Answer in ratio form is always unitless.
=> 1 : 200
So therefore, 1 : 200 is our ratio. Hoped this helped.
Please help asap!!!
Will give brainliest
Answer:
33/2 or
Step-by-step explanation:
2x−7
4
=
x+3
3
(2x−7)*(3)=(x+3)*(4)
6x−21=4x+12
Step 2: Subtract 4x from both sides.
6x−21−4x=4x+12−4x
2x−21=12
Step 3: Add 21 to both sides.
2x−21+21=12+21
2x=33
Step 4: Divide both sides by 2.
2x/2
=
33/2
x=
33/2
Answer:
x = 33/2 = 16 1/2
Step-by-step explanation:
You can clear fractions first, or you can work with the fractions as is.
(2x -7)/4 = (x +3)/3
2/4x -7/4 = 1/3x +1 . . . . . eliminate parentheses
(1/2 -1/3)x = 1 +7/4 . . . . . add 7/4 -1/3x
1/6x = 11/4 . . . . . . . . . . . simplify
x = 66/4 = 33/2 . . . . . multiply by 6, reduce the fraction
In a group of dogs and their owners, there are exactly 20 heads and 64 legs. How many dogs are in the group
Answer:
If we assume that everyone in the group is an owner, we would have
[tex]20*2=40[/tex] legs.
[tex]64-40=24[/tex] legs
Therefore, we need 24 more legs.
These 24 additional legs can be made from the difference of legs between the owners and dogs.
In this case, dogs have [tex]4-2=2[/tex] more legs than an owner.
24 ÷ 2 = 12.
There are 12 dogs in the group.
can y⁵ x y be simplified??
Answer:
Yes,
[tex]y^{6} x[/tex]
Step-by-step explanation:
[tex]y^{5} xy = y^{5} *y*x = y^{6} x[/tex]
PLEASE HELPPP RUNNING OUT OF TIMMEE
Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.
Shop A) 1.25kg for £4.85
Shop B) 250g for £0.88
Step-by-step explanation:
you really need help with that ?
250g = 0.250kg = 0.25kg
comparing 0.25kg with 1.25kg : how many times of 0.25 is 1.25 ?
it is the same as with 25 to 125.
5 times !
so, you need to multiply the price also by 5 to get the price per 1.25kg :
0.88 × 5 = £4.40 = 440 pence per 1.25kg
Between what two whole numbers is 5/6 located on the number line? help please!
Answer:
Hello there!
5/6 is located between 0 and 1.
Step-by-step explanation:
5/6 is less than 1, because 1 = 6/6 in this scenario.
At the same time, it's greater than 0!
5/6 is located between 0 and 1 on the number line!