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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If you multplied 5x10, would you get the same answer as 5x5x5? Explain your reasoning. DO NOT G O O G L E THE ANSWER!!!!!!
No because for 5x10, you just add 10 5 times for 50. For 5x5x5, you multiply 5x5 and get 25 then multiply it again with the other 5 and get 125.
Answer:
No
Step-by-step explanation:
No, because 5 × 5 × 5 = 25 × 5 and that does not equal 10×5.
Write an equation of the line in slope-intercept form.
Answer:
Step-by-step explanation:
Y=1/2x+3
Please help asap. I give brainliest and points plz no links i grinded for these points
LOOK AT THE PIC
Represent the following expressions as a power of the number a where a not = 0
((a^-2)^-1)^-1 divided by ( a divided by a ^-1)^2
Step-by-step explanation:
[tex]((a^{-2})^{-1})^{-1}:(a:a^{-1})^2 =[/tex][tex]a^{(-2)*(-1)*(-1)}:(a^{1-(-1)})^2 =[/tex][tex]a^{-2}:(a^2)^2 =[/tex][tex]a^{-2}:a^4=[/tex][tex]a^{-2-4}=[/tex][tex]a^{-6}\\ or\\ 1/a^6[/tex][tex]\\ \rm\leadsto ((a^{-2})^{-1})^{-1}/(a\div a^{-1})^2[/tex]
[tex]\\ \rm\leadsto (a^2)^{-1}/(a^2)^2[/tex]
[tex]\\ \rm\leadsto (a^2)^{-1-2}[/tex]
[tex]\\ \rm\leadsto (a^2)^{-3}[/tex]
[tex]\\ \rm\leadsto a^{-6}[/tex]
HELP I HAVE A TEST TMR MORNING!!!!!!
A boat tied up at a dock bobs up and down with passing waves. The vertical distance between its high point and its low point is 1.8m and the cycle is repeated every 4 s.
Here is the equation that models this: [tex]f(x)=0.9sin(\frac{\pi }{2} x)[/tex]
^The y-coordinates are in m and the x coordinates is the time in seconds
b) Use the model to determine when, during each cycle, the boat is 0.5m above the mean positition.
BRAINLIEST!!!!
The time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s
Since y = f(x) = 0.9sin(πx/2)
We want to determine the time, x at which the boat is 0.5 m above its mean position. This is the value of y at y = 0.5 m
So, y = f(x) = 0.9sin(πx/2)
0.5 = 0.9sin(πx/2)
Dividing through by 0.9, we have
0.5/0.9 = sin(πx/2)
5/9 = sin(πx/2)
Taking inverse sine of both sides, we have
sin⁻¹(5/9) = πx/2
sin⁻¹(0.5556) = πx/2
0.589 rad = πx/2
x = 2 × 0.589/π
x = 1.178/π
x = 0.375 s
Since the boat repeats its cycle every 4 seconds, the time the boat is 0.5 m above the mean position after n cycles is t = (4n + 0.375) swhere n is a positive integer. That is n = 0, 1, 2, 3...
So, the time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s
Learn more about sine function here:
https://brainly.com/question/12102275
pls help me with this:((((((((
Answer:
1) D: All of the above.
2) A: No solution
3) B: One solution
Step-by-step explanation:
1. The systems of linear equations can be solved through the following methods:Graphing method: Using the slope and y-intercepts of each equation to plot points and graph the lines to see whether the given system has a point of intersection as a solution.
Elimination method: this involves either adding (when the coefficients have opposite signs) or subtracting (when the coefficients have the same sign).
Substitution method: involves solving for one of the variables of either equations, and substituting the values of that expression into the other linear equation in the system.
Therefore, the correct answer is Option D: All of the above.
2. Graph of Parallel Lines:Given the graph of parallel lines, which means that they will never have a point of intersection. Therefore, the given systems of linear equations have no solution. Therefore, the correct answer is Option A: No solution.
3. Graph of Two Intersecting linesGiven the graph of two non-perpendicular intersecting lines, it means that they have one point of intersection that represents the solution to the given system.
Therefore, the correct answer is Option B: One solution.
What are the solutions to the equation sin(x+7pi/2)=-sqrt 3/2
over the interval [0,2pi]?
Answer: C: pi/6 and 11pi/6 only
Step-by-step explanation:
Edge2020 :]
What is the slope of the line represented by the equation y = fx-3?
Х
5
-3
o
4
5
|s
4
5
O 3
Please helpppp!!!!
Answer:
it 3.5-9
Step-by-step explanation:
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
Mr. Doyle mowed 2\5ths of his lawn. His son mowed 1\3rd of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?How much does Mr. Doyle have left to mow?
Answer:
Step-by-step explanation:
Dad: 2/5
Son: 1/3
Who mowed most of the lawn? Dad, of course. 2/5 is larger than 1/3. 2/5 is 40% and 1/3 is 33.333%
How much of the lawn still needs to be mowed?
2/5 + 1/3 + X = 1 [1 means the whole lawn. X is the remaining portion.]
6/15 + 5/15 + X = 1 [Convert each fraction so that they have a com,mon denominator. This also shows that 2/5 (6/15) is larger than 1/3 (5/15).
11/15 + X = 1
X = 1 - 11/15
X = 4/15 left to be mowed.
How much does Mr. Doyle have left to mow?
We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.
4/15 left to be mowed.
Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard
Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard
Mr. Doyle mowed faster than his son. The amount of lawn still needs to be mowed will be 4/15. Mr. Doyle has left to mow and will be 8/75.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Mr. Doyle mowed 2/5 of his lawn. His son mowed 1/3 of it.
Convert the fraction into a decimal number. Then we have
2/5 = 0.40
1/3 = 0.33
Mr. Doyle mowed faster than his son.
The amount of the lawn still needs to be mowed will be given as,
⇒ 1 - 2/5 - 1/3
⇒ (15 - 6 - 5) / 15
⇒ 4 / 15
The amount of lawn still needs to be mowed will be 4/15.
Mr. Doyle has left to mow and will be given as,
⇒ (4 / 15) x (2 / 5)
⇒ 8 / 75
Mr. Doyle has left to mow and will be 8/75.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Choose the correct definition of
(2)
from below.
A.
kI
n!(n – kỳ!
B.
n!
(n-k)!
C.
!
k!(n-k)!
D.
n!
K!(K-n)!
Answer:
Answer is C noumber
Step-by-step explanation:
We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).
The formula for the number of combinations of n things taken r at a time is given by :-
C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}C(n,k)=(n/k)=
k!(n−k)!
n!
Hence, C is the right option.
ANSWER ASAP PLEASE!!!!!
What is the domain of the square root function graphed below?
A. x is greater than 1
B x is greater or equal to 1
C. x is greater than 3
D. x is greater or equal to 3
Answer: the answer is D hope it helps.
Just took the test. Edge
Which situation can be modeled by the inequality 65-8x>9
Answer:
x<7
Step-by-step explanation:
65-8x>9
-8x>9-65
-8x>-56
x<7
Answer:
x<7
Step-by-step explanation:
65-8x>9
-8x>9-65
-8x>-56
x<7
Factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3
Answer:
the common factor is 3xy³
therefore by factoring we get;
3xy³(4y-7xy²z+12)
can anyone tell me if this is right
Answer:
yes it is correct
Step-by-step explanation:
4g as a verbal expression
Answer:
Step-by-step explanation:
1) A number g multiplied by 4
2) Product of 4 and g
3) 4 times g
Sprinters who run 100 yards now often run 100 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
Enter the correct answer in the box.
Answer:
100 meters is 8.6 meters longer than 100 yards.
Step-by-step explanation:
Conversion of yards to meters.
Each yard has 0.914 meters.
So 100 yards is 100*0.9144 = 91.4 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
100 yards = 91.4 meters
100 - 91.4 = 8.6
So 100 meters is 8.6 meters longer than 100 yards.
Determine whether these two ratios
form a proportion:
8/10 and 24/30
Can someone help with this please?
Answer:
900
Step-by-step explanation:
Might wanna double check. I rushed
(7m-2m^2n)^2
-42+144
900
(4,1),(8,2) in slope intercept form
Answer
y=1/4x
Step-by-step explanation:
2-1/8-4=1/4
Choose either of these points ( I will use 4,1 becuase it's easier)
1=1/4(4)=b
1=1+b
0=b
y=1/4x (you don't put the zero)
I don’t know what the answer Is
Answer:
Exact Form: x = 10/7
______
Decimal Form: x = 1.428571
Mixed Number Form: x = 1 3/7
Hope this helps, have a nice day/night! :D
If this helped please mark this as brainliest!
Answer:
In the picture
Step-by-step explanation:
Good luck!
helppp pls alg2
How do the graphs of transformations compare to
the graph of the parent function?
How many brownies can you make in an 8x8 inch pan?
Answer:
You can make as many as you want, infinitely smaller but you need to specify the size of the brownies
Step-by-step explanation:
5 = 5+r-2r
what's the answer to this equation
Hi there!
5=5+r-2r
Combine like terms:
5=5-r
Move all the variables to the left, using the opposite operation:
r+5=5
r=5-5
r=0
r=0 is the answer
Hope it helps
~Just a gloomy gal
#CarryOnLearning
[tex]SilentNature :)[/tex]
Answer:
r = 0
Step-by-step explanation:
5 = 5 +r - 2r
5 = 5 -r
c.l.t r = 5 - 5
r = 0
Please help!! I’m taking a math course a grade above mine but since i’m on break my teacher isn’t able to help me.
Answer:
Slope = ½
Step-by-step explanation:
Given the two points on the graph, (-4 , 0) and (0, 2):
Let (x₁, y₁) = (-4 , 0)
(x₂, y₂) = (0, 2)
Substitute the given points into the following slope formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: -\:(-4)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: +\:4}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2}{4}\:=\:\frac{1}{2}}[/tex]
Therefore, the slope of the line is ½.
Please help with this question.
Thanks.
Answer:
10
Step-by-step explanation:
E = V + 1/2mv^2
700 = 300 + 1/2*8*v^2
400 = 4v^2
100 = v^2
v = 10
A pancake recipe calls for one egg for every three cups of flour. How many cups of flour do you need for four eggs?
Answer:
its multiplication 4 times 3 the product is 12
Step-by-step explanation:
PLEASEEEEE Help me with this
for g(x)=2x^2-8x-10 find each value
g(2)
g(5)+12
g(8)-18
g(-3)-g(4)
Answer: ask your teacher duh
Step-by-step explanation:
Giving brainliest to correct answer
1/4 + 1/3 + 11/12 6/15 + 3/10 + 3/5
4/5 + 3/15 - 2/3 4 2/5 + 5 2/6
Answer:
#1) 3/2 #2) 13/10 #3) 1/3 #4) 49/15
Step-by-step explanation:
This may not be right because I don't know if you wanted the answers in fractions or not, but I tried. There's too much work to show. Sorry.
Help? I can't get a hold of it.
|1 + 2x| + |5 − 3x| − |−5x − 8 | , is x < −10
Simplified expression is:
Answer:
steps below
Step-by-step explanation:
x < -10
|1+2x| < 0 ∴ |1+2x| = -(1+2x)
|5 − 3x| > 0 ∴ |5 − 3x| = 5-3x
|−5x − 8 | > 0 ∴ |−5x − 8 | = -5x-8
|1 + 2x| + |5 − 3x| − |−5x − 8 |
= -(1+2x) + (5-3x) - (-5x-8)
= (-2x - 3x + 5x) + (-1 + 5 + 8)
= 12