Answers
Answer:
y = -4/5x + 14/5
Step-by-step explanation:
Point (6,-2) and (-4,6)
Slope = (6- - 2) / (-4-6) = 8 / -10 = - 4/5
(The slope is negative because La línea is going downhill. Uphill is positive)
You can also find the slope in the graph: rise/run.
y-intersect (any point)
Point (6, -2) (any point)
y-Intercept: -2 - (-4/5)(6) = -2 + 24/5 = 14/5
Answer:
The general equation of the line is 4x+5y−14=0. the y=mx+c = y = -4/5x + 14/5
Step-by-step explanation:
Step 1) Write down your coordinates = ( -4, 6 ) and ( 6, -2 ) Step 2) find the gradient y2-y1/ x2 - x1 = -2-6 / 6--4 = -8/ 10 = -0.8 = - 4/5 = slope However in the point slope formula we need to use 3 identities and as (0, 2.4) is present coordinate for y intercept = (2.4 - 6) / (0- -4 )= -3.6/4 = - 0.9 and (-2 -2.4)/ (6-0) = -4.4/ 6 = - 0.733 we know y it crosses at 2.8 however it recognises it is a descending value (the paramount difference at 2nd point = -0.9 -0.7333= -0.1667 and widest point 0.2667 - 0.1667 = -1 would be our ascending parallel multiplier
Related Questions
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Answers
The solutions to the questions if y is represented by the formula y = a(x - 100)(x - 200) are:
a) The value of a = -2000
b) The maximum profit the company can make = $5,000,000
To make maximum profit, 150 computers must be produced
c) The company must produce between 140 and 160 computers to make at least $4,800,000
The equation representing the company's profit is:
y = a(x - 100)(x - 200) for x > 20
If 120 computers are produced, the profit will be $3,200,000
That is, y = 3,200,000 if x = 120
a) Find the value of a
3,200,000 = a(120 - 100)(120 - 200)
3200000 = -16000a
a = -3200000/1600
a = -2000
b) Maximum profit the company can make
The equation becomes:
y = -2000(x - 100)(x - 200)
y = -2000(x² - 200x - 100x + 20000)
y = -2000(x² - 300x + 20000)
y = -2000x² + 600000x - 40000000
dy/dx = -4000x + 600000
dy/dx = 0 at maximum value
-4000x + 600000 = 0
4000x = 600000
x = 600000/4000
x = 150
To make maximum profit, 150 computers must be produced
Substitute x = 150 into y = -2000x² + 600000x - 40000000 to find the maximum profit
y = -2000(150²) + 600000(150) - 40000000
y = 5000000
The maximum profit the company can make = $5,000,000
c) Calculate the range of the number of computers to be produced If the company targets to make at least $4,800,000
-2000x² + 600000x - 40000000 ≥ 4800000
-2000x² + 600000x - 40000000 - 4800000 ≥ 0
-2000x² + 600000x - 44800000 ≥ 0
Divide through by -2000
x² - 300x +22400 ≤ 0
(x - 140)(x - 160) ≤ 0
140 ≤ x ≤ 160
The company must produce between 140 and 160 computers to make at least $4,800,000
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PLEASEEE HELP MEEEE!!
Answers
Hello!
the answer is C! ( [tex]y=\frac{1}{3} x-6[/tex] )
hope that helps!<3 have a good day!:))
A continuous random variable X has probability density function X. Show how its
moment generating function can be used to determine the variance of this random
variable.
Answers
The moment generating function is defined by
[tex]M_X(t) = \mathbb E[e^{tX}][/tex]
Recall the power series expansion for the exponential function:
[tex]\displaystyle \sum_{n=0}^\infty \frac{x^n}{n!} = 1 + x + \frac{x^2}2 + \frac{x^3}6 + \cdots[/tex]
Then by extension, the MGF could be similarly written as
[tex]\displaystyle M_X(t) = \mathbb E \left[1 + Xt + \frac{(Xt)^2}2 + \frac{(Xt)^3}6 + \cdots\right][/tex]
There's a certain theorem (due to Fubini, in case you're interested in learning more about it) that let's us exchange the order of integration (recall the definition of expectation for continuous random variables) and summation, so that
[tex]\displaystyle M_X(t) = \mathbb E[1] + \mathbb E[Xt] + \mathbb E\left[\frac{X^2t^2}2\right] + \mathbb E\left[\frac{X^3t^3}6\right] + \cdots[/tex]
and by the linearity of expectation,
[tex]\displaystyle M_X(t) = 1 + \mathbb E[X] t + \frac12 \mathbb E\left[X^2\right] t^2 + \frac16 \mathbb E\left[X^3\right] t^3 + \cdots[/tex]
and here we see where the name MGF comes from: the coefficient of the n-th order term in the series expansion "generates" the n-th moment, which is defined as E[Xⁿ].
Now, recall the definition of variance:
[tex]\mathrm{Var}(X) = \mathbb E\left[\left(X - \mathbb E[X]\right)^2\right][/tex]
[tex]\mathrm{Var}(X) = \mathbb E\left[X^2\right] - \mathbb E[X]^2[/tex]
and this is exactly the difference between the second moment and the square of the first moment.
So if you know the MGF, then you essentially get the variance for free with little effort. By differentiating the MGF, we get
[tex]\displaystyle M_X''(t) = \mathbb E[X] + \mathbb E\left[X^2\right] t + \frac12 \mathbb E\left[X^3\right] t^2 + \cdots[/tex]
and setting t = 0 lets us recover the first moment, E[X].
Differentiating again gives
[tex]\displaystyle M_X'(t) = \mathbb E\left[X^2\right] + \mathbb E\left[X^3\right] t + \cdots[/tex]
and setting t = 0 once again recovers the second moment.
Then in terms of the MGF, we have
[tex]\boxed{\mathrm{Var}(X) = M_X''(0) - M_X'(0)^2}[/tex]
A faraway planet is populated by creatures called Jolos. All Jolos are either
green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 140
contains 30 green, one-headed Jolos; 45 purple, two-headed Jolos; and 75
one-headed Jolos.
One-headed Two-headed Total
Green
30
Purple
45
Total
75
140
How many green Jolos are there in Balan's colony?
A. 20
B. 65
O O
C. 50
Answers
Answer:the answer is 50
Step-by-step explanation:
75-140=65
65-45=20
75-35=45
45+45=90
30+20=50
In total there are 50 GREEN JOLOS I couldn’t get the answer myself so I sat down and actually wrote the problem out I’m taking a exam so I’ll let you guys know if it’s accurate.
LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (-100,0) and (100,0), where unit distance on the coordinate plane is measured in miles
A receiver is located somewhere in the first quadrant. The receiver computes that the difference in the distances from the receiver to these transmitters is 180 miles.
What is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the
hyperbola?
Answer:
Answers
The differences between the distances from the receiver to the two
transmitters is a constant.
[tex]\mathrm{The \ equation \ of \ the \ hyperbola\ is}\displaystyle \ \underline{\frac{y^2}{90^2} - \frac{x^2}{10\left(\sqrt{19} \right)^2} = 1}[/tex]Reasons:
The location of the transmitters = (-100, 0) and (100, 0)
The difference in the distance from the receiver to the transmitters = 180 miles.
Let the distances from the receiver to the transmitters be d₁ and d₂, we have;
|d₂ - d₁| = 180 = 2·a
[tex]\displaystyle a = \frac{180}{2} = 90[/tex]
c = The x-coordinates of the transmitters = 100
b² = c² - a²
∴ b² = 100² - 90² = 1900
b = √(1900) = 10·√(19)
Therefore;
The general form of the equation of an hyperbola is presented as follows;
[tex]\displaystyle \frac{y^2}{a^2} - \frac{x^2}{b^2} = 1[/tex]
The standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola is; [tex]\displaystyle \underline{\frac{y^2}{90^2} - \frac{x^2}{10\left(\sqrt{19} \right)^2} = 1}[/tex]
Learn more here:
https://brainly.com/question/4515332
2) The ratio of boys to girls at the park
was 10 to 6. If there were 100 boys,
how many girls were there?
Answers
Answer:
[tex]60[/tex]
60
Step-by-step explanation:
boys 10 ×10 100
------- = ---- ------
girls 6×10 60
Can someone please help me I will mark u brilliant
Answers
Answer:
-1/7
Step-by-step explanation:
1/5 · (-2/7) = -2/35
= -2/35 · 5/2 = -10/70
simplified -10/70
-1/7
(–5, 2) and (3, r) has slope of 1/2
Answers
Answer:
value of r is 6
Step-by-step explanation:
Given that the slope is 1/2
So we can set up the linear equation like this:
y= 1/2x + b
Since it also goes through (-5, 2)
plug in:
[tex]2 = \dfrac12*-5 + b\\b=2 +2.5 = 4.5\\y = \dfrac12x +4.5[/tex]
Then we plug in x=3 to find out the value of r
[tex]r = \dfrac12*3+4.5=1.5+4.5=6[/tex]
what is the area of triangle
Answers
Answer:
24
Step-by-step explanation:
S = ½ × 12 × 4
S = 24
._._._._._._.
30% of 10
50% of 60
80% of 30
20% of 80
90% of 80
70% of 20
100% of 10
90% of 70
Answers
Answer:
3
30
24
16
72
14
10
63
50% of 60 is 30
80% of 30 is 24
20% of 80 is 16
90% of 80 is 72
70% of 20 is 14
100% of 10 is 10
90% of 70 is 63
epic gamer question i'll mark brainliest
Answers
Answer:
I think it is parallel
Step-by-step explanation:
Can someone please help me for 40 points please
Answers
Answer:
5 to the power of 3 5times5times5
Step-by-step explanation:
describe using their angles please
Answers
Answer:
equilateral triangle is a triangle in which all 3 sides have the same length
When you need to convert from one system of measurement to another, you should convert to the a) system that will have the highest number. b) system that will have the smallest number. c) system used on the medication label. d) metric system.
Answers
Answer:
metric
Step-by-step explanation:
it's the most widely used and will most likely be the easiest to use
Answer:
answer is a
Step-by-step explanation:
i think hope it helped
If the Mac and cheese is 7.50 for 3 lbs how much can you get for 29 dollars?
Answers
Answer:
6lbs
Step-by-step explanation:
7.50 can only go into 20, two times
7.50
× 2
-------
15.00
Line ℓ has equation y=5. Find the distance between ℓ and the point Q(0,1).
Answers
Answer:
Distance = 4
Step-by-step explanation:
Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.
In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (0, 5)
Substitute these values into the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]
[tex]d = \sqrt{(4)^{2}}[/tex]
[tex]d = \sqrt{16}[/tex]
d = 4
Therefore, the distance of line ℓ from point Q is 4.
Jose bought snacks for his team's practice. He bought a bag of chips for $1.88 and a 12-pack of juice bottles. The total cost before tax was $14.84. Write and solve an equation which can be used to determine xx, how much each bottle of juice costs. the number of gigabytes of data Alonso can use while staying within his budget.
Answers
Answer:
(14.88-1.88) divided by 12
Step-by-step explanation:
hope this helps!
Solve 2/v + 1/w = 1/2 for v
Answers
Answer:
v=(-4w)/(-w+2)
Mr. Solomon, the art teacher, has 49.6 pounds of clay. If he gives every student 1.6 pounds of clay and has none left, how many students are in his class?
Answers
Answer:
He has 31 students
Step-by-step explanation:
You know this because 49.6 ÷ 1.6 = 31
HELPPP PLZ PLZ PLZ 15 BRANULASR When x is decreased by 129 and then that number is multiplied by 129 , the result is 129. What is the value of x?
Answers
Answer:
130
Step-by-step explanation:
(x - 129) * 129 = 129
x - 129 = 129/129
x - 129 = 1
x = 129 + 1
x = 130
Answer:
x could equal 130 but I'm not sure about this one
Step-by-step explanation:
you take 130-129 which equal 1 then times 1 by 129 and it equals 129... again sorry if it's not right because I'm not entirely sure how to do this I'm pretty sure I did it correct though
-Given the nth term, 3n -4n^3 find sum to n term
Answers
Answer:
ans is -n(4n2-3)..........
four and three sevents plus six and one fith.
Answers
You could find a common denominator or use a calculator
A suspension bridge with weight uniformly distributed along its length has twin towers that extend 55 meters above the road surface and are 1200 meters apart. The
cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the
cables at a point 300 meters from the center. (Assume that the road is level.)
The height of the cables is meters.
(Simplify your answer.)
Answers
Answer:
try kopo
Step-by-step explanation:
55+1200+300=1555
Answer:
Step-by-step explanation:
start by graphing it (see picture)
formula for a parabola: y=ax²
using the coordinates (600,55) we get
55=a*600²
a=55/(600²)
so now it's just a matter of plugging in 300 for x
(55/600²)*300²= 13.75
Part 1
Rita hires 12 models for the show from an agency
she pays each model a fee of £130
the agency charges Rita 15% of the fee she pays each model
Rita thinks thr agency will charge her a total of less then £240
is Rita correct?
show why you think this
part 2-
Rita buys hair and makeup products for the show
the total cost of the products she buys is £43
Rita gets a discount of 1/5 of the total cost
what is 1/5 of £43?
Answers
130 x 12=1560
15% of 1560= $236. So Rita is correct.
Part 2
1/5 of 43 is 8.6 because 8.6 x 5=43
Find the difference (10j-7)-(-9j+2)
Answers
Answer:
19j-9
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10+9=19j
-7-2=9
Wyatt runs 234 miles in 25 of an hour. Jackson runs 823 miles in 43 of an hour. How long does it take each of them to run 10 miles at that rate?
Answers
Answer:
About 2.9 minuets
Step-by-step explanation:
I hope this helps
A toy factory makes toys that are sold for $10 a piece. The factory has 40 workers, and they each produce 25 toys per day. The factory is open 5 days a week. What is the total value of toys the factory produces in a day?
Answers
Answer:
The total value of toys the factory produces in a day is $10,000.
Step-by-step explanation:
One Toy = $10
Workers = 40
Toys Made By Each Worker Per Day = 25
The factory makes 1,000 toys per day and 5,000 toys per week. Each toy has a value of $10 so the value of toys in one day would add up to $10,000. The toy factory would also make $50,000 a week.
Can someone tell me what the evaluated answer is?
Answers
Answer:
16) 7⁻²
17) -1⁻²
Step-by-step explanation:
plug in the x=, y=, and n= into the equation.
The height of Tower A is 690 feet more than Tower B. The two towers have a combined height of 1,384 feet. What are the heights of each tower?
Tower B is feet tall
(Simplify your answer. Type an integer or a decimal)
Tower A is feet tall
(Simplify your answer. Type an integer or a decimal.
Answers
Step-by-step explanation:
A = 690ft + B
A + B = 1.384ft
(690ft + B) + B = 1.384ft
2B = 1.384ft - 690ft
2B = 694ft
B = 694ft ÷ 2
B = 347ft
A = 690ft + B
A = 690ft + 347ft
A = 1.037ft
Tower A → 1.037 feet
Tower B → 347feet
If a course starts September 2022,and last for three years, what year would it end.
Answers
Answer:
im pretty sure its 2025
Answer:
2025
Step-by-step explanation:
