Answer:
d(x) = - 2666.67*a + 42000
Step-by-step explanation:
Vamos a llamar a d(x) la ecuación de la demanda de CD, entonces como la relación entre las dos variables es lineal la ecuación de la demanda es del tipo:
d(x) = a*x + b (1)
en esa relación a es la pendiente de la recta y b es el intercepto con el eje y que en este cas es el eje de valores de d(x).
Tenemos dos condiciones que cumplir y dos incógnitas que determinar ( a y b).
Cuando el precio ( x = 18 $ ) el monto de d(x) es de 10000 entonces por sustitución en la ecuación general (1)
10000 = 18*a + b (2)
Y cuando ( x = 12 $) d(x) = 26000
26000 = 12*a +b (3)
Resolviendo para a y b el sistema de dos ecuacions con dos incógnitas tenemos:
restando ec 3 - ec 2
16000 = - 6*a
de donde a = - 16000/6
a = - 2666.67
Llevando ese valor a ec 2
10000 = 12 *(- 2666.67) + b
10000 + 32000 = b
b = 42000
Finalmente la ecuación buscada es:
d(x) = - 2666.67*a + 42000
Como la pendiente es negativa significa que d(x) va decreciendo cuando x va en aumento
Chloe wants to make a scrapbook with old family photos. An online scrapbooking company charges $45 plus $1 per page. Meanwhile, a family friend is willing to make a scrapbook for $9 plus $4 per page. For a certain number of pages, the prices would be equal. How many pages would that be? How much would Chloe be charged?
Answer:
The prices are equal when it's 12 pages. For 12 pages, she'd be charged $57
Step-by-step explanation:
x = PER page
y = total
Online scrapbooking equation:
y = 45 + x
Family friend equation:
y = 9 + 4x
Where prices (y) would be equal:
y = 45 + x (Multiply this by -4)
y = 9 + 4x
y = 9 + 4x
-4y = -180 - 4x
-3y = -171
y = 57
y = 45 + x
-y = -9 - 4x
0 = 36 - 3x
3x = 36
x = 12
what is the slope of the line y = 8x - 10
Answer:
slope is 8
Step-by-step explanation:
y=Mx+c
m is the slope therefore the slope is equal to 8
The slope of the line y = 8x - 10 is 8.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given line is y = 8x - 10
Equation of a line in slope intercept form is given by,
y = mx + c
Here, m is the slope and c is the y intercept.
The given equation is in the slope intercept form.
y = 8x - 10
The coefficient of x is the slope.
So slope of the given line = 8
Hence the slope of the line y = 8x - 10 is 8..
Learn more about Slope here :
https://brainly.com/question/14511992
#SPJ2
Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.
Answer:
x = 20
Step-by-step explanation:
The triangles are similar
3 (3+5)
----- = ----------
12 (12+x)
Using cross products
3(12+x) = 12*(3+5)
3(12+x) = 12*8
3(12+x) = 96
Divide by 3
3(12+x)/3 = 96/3
12+x = 32
Subtract 12
12+x-12 =32-12
x = 32-12
x =20
Plsss help I will give brainliest
How do I solve this?
Answer:
3p³ + 2p² – 3p – 11
Step-by-step explanation:
From the question given above, the following data were obtained:
Side 1 (S₁) = –1(p + 5)
Side 2 (S₂) = 2(p² – 3)
Side 3 (S₃) = 3p³ – 2p
Perimeter (P) =?
The perimeter of the triangle can be obtained as follow
P = S₁ + S₂ + S₃
P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p
Clear bracket
P = –p – 5 + 2p² – 6 + 3p³ – 2p
Rearrange
P = 3p³ + 2p² – 2p – p – 6 – 5
P = 3p³ + 2p² – 3p – 11
Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.
Answer:
x=2/3
Step-by-step explanation:
Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.
-3x+4=2
-3x=-2
3x=2
x=2/3
Con procedimiento por favor
Answer:
C
Step-by-step explanation:
what is the percent increase between 8,863,052 and 9,149,840?
Answer:
[tex]increase = 9149840 - 8863052 \\ = 286788 \\ \% \: increase = \frac{286788}{8863052} \times 100\% \\ = 3.24\%[/tex]
Answer:
=3.23577% increase
Step-by-step explanation:
1) subtract final value minus starting value
2) divide that amount by the absolute value of the starting value
3) multiply by 100 to get the percent increase
4) if the percentage bis negative, it means there was a decrease and not an increase
x+2y =27 and 2x-y=19
Answer:
x = 13 , y = 7
Step-by-step explanation:
x + 2y = 27 => x = 27 - 2y ---------( 1 )
2x - y = 19 ------------ ( 2 )
Substitute ( 1 ) in ( 2 ) :
2x - y = 19
2(27 - 2y) - y = 19
54 - 4y - y = 19
-5y = 19 - 54
-5y = -35
y = 7
Substitute y = 7 in ( 1 ) :
x = 27 - 2y
x = 27 - 2( 7 )
x = 27 - 14
x = 13
straight line graphs
Answer:
I don't get it what is the question ❓
Please help me with this
Answer:
O = 29
P = 61
Step-by-step explanation:
90 = (x+3) + (2x+9)
90 = 3x + 12
90 - 12 = 3x
78 = 3x
x = 26
26 + 3 = O = 29
(26 * 2) + 9 = P = 61
61 + 29 = 90 = Complementary Angles
y = x2
-2
What is the Domain:
Answer:
all real numbers
Step-by-step explanation:
The domain is the values that x can take
x can be any real number
help i give many points
Answer:
Step-by-step explanation:
The pic doesnt wrk comment question and ill answer
How many in five days?
Answer:
d
Step-by-step explanation:
Answer:
I think it is B
Step-by-step explanation:
I swear there are never tutors
Answer:
5-2y (the last option)
hope this helps!
please give brainiest<3
Answer:
2y-5
Step-by-step explanation:
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
Step-by-step explanation:
Feel free to ask for more help. I love Linear Algebra
1. The function below models the value of Tiana's car, where x represents
the number of years since she purchased the car. What is the rate of
growth or decay?*
f(x) = 24,000. 0.88
O Option 2 -88% Growth
O Option 3 -12% Decay
O Option 1 - 88 % Decay
O Option 4 - 12% Growth
Answer:
option 4
Step-by-step explanation:
Option 3 -12% Decay
Step-by-step explanation:
25 [tex]\sqrt{x}[/tex] 64 +187
Answer:
x = 17/4 = 4.250
x = 11/2 = 5.500
Step-by-step explanation:
47 divided by 25, work it out step by step
Answer:
1.88
Step-by-step explanation:
47/25
= 1.88
What is the answer ?????
Step-by-step explanation:
very difficult............
Felix is a quality control expert at a factory that paints car parts. Their painting process consists of a primer coat, color coat, and clear coat. For a certain part, these layers have a combined target thickness of 150 microns. Felix measured the thickness of 50 randomly selected points on one of these parts to see if it was painted properly. What is Felix's margin of error? "Round to 2 decimal places
Answer:
0.9
Step-by-step explanation:
His sample had a mean thickness of 148 microns and a standard deviation of 3.3 microns with a 95% confidence interval for the mean thickness.
Solution:
The z score shows by how many standard deviations the raw score is above or below the mean.
Given that:
The mean (μ) = 148 microns, standard deviation (σ) = 3.3 microns, sample size (n) = 50 and confidence interval (C) = 95%
α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
The z score of α/2 is the same as the z score of 0.475 (1 - 0.025) which is equal to 1.96
The margin of error (E) is given by:
[tex]E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{3.3}{\sqrt{50} } \\\\E=0.9\ microns[/tex]
.y is inversely proportional to (x + 3) ?.
When x = 2, y = 8.
Find y when x = 7.
A 100
B. 4
C. 2.
D. 16
OA
Answer:
B
Step-by-step explanation:
y = k/(x + 3)
Let x = 2
Let y = 8
k = ?
8 = k/(2 + 3) Combine the terms on the right
8 = k/(5) Multiply both sides by 5
8*5 = k
k = 40
Let x = 7
y = 40/(7 + 3)
y = 40/10
y = 4
(-2,0);(0,7)
A.What is the slope?
B.What is the equation in point-slope form?
Answer:
A. 7/2 B.y - 0 = 7/2(x + 2)
Step-by-step explanation:
y2 - y1 / x2 - x1
7 - 0 / 0 - (-2)
7 / 2
= 7/2
y - 0 = 7/2(x + 2)
Coraline was training for cross country season an app to track 24 laps around the track that measures 110 m what was the total distance Coraline ran in kilometers
Answer:
2.64 km
Step-by-step explanation:
The first step is to calculate the distance in meters
= 24×110
= 2640 meters
1km= 1000 meter
2640 meters to kilometer
= 2640/1000
= 2.64 kilometers
Hence the distance is 2.64 km
A line contains the points (2,-7) and (-4,2). Which statement is not true?
A) The line has y-intercept - 4
B) The line contains
(1,-)
2
C) The line is parallel to 3x - 2y=6 D) The line is perpendicular to y=x+4
E) No portion of the graph of the line lies in the first quadrant
Answer:
a is the answer because I just did that question and got 100 percent.
What is the answer I need helppppp
Answer:
y= 4 x=0 (0,4)
Step-by-step explanation:
5x+y=4
-5x +y=4
the 5x would cancel out because they equal zero
2y=4
divide both sides by 2
y=4
put the y into one of the equations
5x +4 =4
subtract 4 from both sides
5x=0
divide five from both sides
x=0/5
so x=0
Step-by-step explanation:
5x+y=4 --> y=-5x+4
Plug this into the other equation:
-5x+(-5x+5)=4
Simplify:
-10x=1
x=-.1 (save this answer)
Plug into first simplified equation:
y=-5(-.1)+4
Solve:
y=4.5
(-.1 , 4.5)
The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
b) Find x and y.
x = 10-6
Answer:
to find y you have to do trigonometry
When a cup of coffee at 100 degree Celsius cools down ,it loses 12%of its current temperature
per minute. What will the temperature be after 10 minutes.
Answer:
Temperature after 10 minute = 27.9 degree Celsius
Step-by-step explanation:
Current temperature, P = 100 degree Celsius
% rate in temperature loses = 12% per minute = 0.12
Time, t = 10 minutes
Temperature after t minutes ,
[tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]
= 27.9 degree Celsius
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?
y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5
Answer:
B
Step-by-step explanation:
The equation of Nolan's line is
The slope-intercept form of a line is given by:
Here
m is the slope of the line
and b is the y-intercept.
Given
y-intercept = b = 3
slope = m = 2
The values of m and b can be put into the equation to find the line's equation
So,
Putting the value
Hence,
The equation of Nolan's line is
