Answer:
The market equilibrium price is $160 and market equilibrium quantity is 1600
Step-by-step explanation:
A linear function is of the form y = m * x + b, where m is the slope and b is called the intercept.
The shape of a demand and supply curve will be: Q = m * P + b
The point-slope form of the linear function is written as y- y1 = m * (x- x1) where (x, y) and (x1, y1) are the coordinates of the point. In this case: Q- Q1 = m * (P- P1)
A retail chain buys 1000 wireless speakers if the price is $ 190 and 2,600 if the price is $ 110. Then (P, Q) = (190,1000) and (P1, Q1) = (110, 2600). Replacing in the point-slope form:
1000 - 2600= m*(190 - 110)
and solving for m you get:
-1600=m*80
[tex]m=\frac{-1600}{80}[/tex]
m= -20
To find the value of b from the demand curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:
Q= -20*P + b
Replacing (P, Q) = (190,1000)
1000= -20*190 + b
1000= -3800 + b
1000 + 3800= b
4800= b
The demand function is Q= -20*P + 4800
In an analogous way, the supply function can be deduced. A wholesaler will supply 800 wireless speakers at $128 each and 2400 at $192. Then (P, Q) = (128,800) and (P1, Q1) = (192, 2400). Replacing in the point-slope form:
800 - 2400= m*(128 - 192)
and solving for m you get:
-1600=m*(-64)
[tex]m=\frac{-1600}{-64}[/tex]
m= 25
To find the value of b from the supply curve Q = m * P + b, you plug in the value of m and either of the two points into the equation and solve for b. So:
Q= 25*P + b
Replacing (P, Q) = (128,800)
800= 25*128 + b
800= 3200 + b
800 - 3200= b
-2400= b
The supply function is Q= 25*P - 2400
The point where the supply and demand curves intersect is called the market equilibrium point. At this point the quantity supplied and the quantity demanded is the same and the price must also be the same. So:
-20*P + 4800= 25* P -2400
Solving for P:
-20*P - 25*P= -2400 - 4800
-45*P= -7200
[tex]P=\frac{-7200}{-45}[/tex]
P= 160
Since at the equilibrium point the quantity supplied and the quantity demanded is the same, replacing the price P in either of the two functions (demand or supply) I obtain the equilibrium quantity. In this case, it is replaced in the supply function:
Q= 25*160 -2400
Q= 1600
Finally, the market equilibrium price is $160 and market equilibrium quantity is 1600
If f(x) = 4x – 2 and g(x) = 5x – 3, what is g(f(2))?
Step-by-step explanation:
f(2) = 4(2) - 2
= 8 - 2
= 6
g(f(2)) = g(6)
g(6) = 5(6) - 3
= 30 - 3
= 27
g(f(2)) = 27
On Monday a team of street sweepers cleaned 4 city blocks. Tuesday, the team cleaned 2 1/6 times as many blocks as on Monday. How many city blocks did the street sweepers clean on Tuesday?
1/5 is the answer :0000
There will be twelve and a half city blocks of the street sweepers clean on Tuesday.
What is a fraction?The numerator, which is found at the top of the fraction number, and the denominator, which is located at the bottom, are its two component components.
It is given that, four city blocks were cleaned by a crew of street sweepers on Monday. The crew cleaned 2 1/6 as many blocks on Tuesday as they did on Monday.
Suppose the number of city blocks the street sweepers cleaned on Tuesday will be x,
x = 4 + 2 1/6 × 4
x=4+13/6×4
x=12.6≈ 12 1/2
Thus, the street sweepers will clean twelve and a half city blocks on Tuesday.
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36599 round to the nearest thousand 100,699 round to the nearest thousand
Answer:
36,599 rounded to the nearest thousand is 37,000
100,699 rounded to the nearest thousand is 101,000
hope this helps! best of luck <3
Answer:
37000
101000
Step-by-step explanation:
Which problem can be solved with the equation 1.75+(-1.75)=0?
Answer:
bank account one is the answer
Step-by-step explanation:
bank account one is the answer
Hope it helps
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Problem number 4 is solved by the equation 1.75 + (-1.75).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
In problem number 4, the question is the number Sam deposited in the amount of $1.75 and then purchased a movie ticket for $1.75.
The account balance will be represented by the equation.
Account = 1.75 + (-1.75)
The actual account balance will become zero.
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Find the distance between the points E(3,7)and(6,5).find the exact distance between the two points ?
Step-by-step explanation:
Let the distance points E(3,7) and F(6,5)
Distance between EF = √[(x2-x1)²+(y2-y1)²]→Formula
Here, x1 = 3, y1 = 7
x2 = 6 , y2 = 5
Now,
Put all the values in distance formulae:
AB = √[(6-3)²+(5-7)²]
= √[(4)²+(2)²]
= √[(4*4)+(2*2)]
= √[16+4]
= √[20] = 2√5 Units.
Answer:- Hence, the distance between two points E(3,7) and F(6,5) is 2√5 Units.
Which of the following is a trinomial with a constant term?
A. X²-6
B. 5x2 - 4 + x
C. 4x5 + 2x - 2x2
D. -3+4x4
Answer:
I'm going to say B
You are given the list of numbers, -9, 8, 3.0,
2
5'
2.42, 1. Which numbers are rational? Irrational?
Which of the following inequalities is incorrect?
00>-2
6 >-12
-5<-8
0-7<-5
Step-by-step explanation:
First, is 0 greater than -2? Correct
Next, is 6 greater than -12? Correct
Is -7 less than -5? Correct
Finally, is -5 less than -8? NERP!!
So C. is incorrect. Or in this case, it is...
Please help, I don't understand, please
5+(-5)
Answer: 0
Step-by-step explanation: To make this easier, ignore the addition sign (for this one, at least), so just do 5-5
Answer: 0
Step-by-step explanation:
which number can each term of the equation be multiplied by to eliminate the fractions before solving?
plzzz help
Answer:
12.
Step-by-step explanation:
Because 12 is the only number that comes in 2,3 as well as 4s table.
what is the reciprocal of 2 8/9
9/26
2 8/9 = 26/9
Reciprocal of 16/9 is 9/26
If someone is good in theoram please help me I need help with task 3,4,5
Answer:
C²= A²+B²
Step-by-step explanation:
A) 10²=( Base)² + 6²
(Base )²= 10² - 6²:
100-36
= 64
Base = √ 64
8
B) 17² = 8² + (Height)²
(Height) ² = 17²- 8²
= 289-64
= 225
Height = √225
= 15
C) 2.5² = Base ² + 1.5 ²
Base² = 2.5 ²- 1.5²
6.25- 2.25
= 4
Base = √4
= 2
D) 41² = Base²+ 40²
Base²= 41²- 40²
1681-1600
= 81
Base = √81
=9
E)26²=Base² +10²
Base² = 26²- 10²
676-100
= 576
Base= √576
= 24
F)25²= Base²+ 7²
Base² = 25²- 7²
625- 49
=576
Base= √576
= 24
Suppose P(C) = 98%; P(D) = 88%; and P(C or D) = 33%.
Find P(C and D).
Can this really be a probability? If not, explain why not.
Answer:
[tex]P(C\ and\ D) = 153\%[/tex]
Step-by-step explanation:
Given
[tex]P(C) = 98\%[/tex]
[tex]P(D) = 88\%[/tex]
[tex]P(C\ or\ D) = 33\%.[/tex]
Required
[tex]P(C\ and\ D)[/tex]
In probability, the relationship between the given parameters and the required parameter is:
[tex]P(C\ and\ D) = P(C) + P(D) - P(C\ or\ D)[/tex]
Substitute values in the above formula
[tex]P(C\ and\ D) = 98\% + 88\% - 33\%[/tex]
[tex]P(C\ and\ D) = 153\%[/tex]
No, it can't be a probability
Because [tex]P(C\ and\ D) > 100\%[/tex]
You pick a card at random 6,7,8,9. What is P (8)?
Answer:
1/4
Step-by-step explanation:
HEEEEEEEEEEEEEEEELLLLLLLLLLLLLP :(
What are the disadvantages of driverless cars? Check all that apply.
Answer:
2 3 and 4
Step-by-step explanation:
Answer:
They cannot tell the difference between people and other objects. They will wait for crossing pedestrians even if signaled to keep driving.Step-by-step explanation:
What is the solution to the equation 4x = 52?
Answer:
x = 13
Step-by-step explanation:
4x = 52
x = 52/4
x = 13
Hope this helps!
What is the value of x that satisfies the equation 4/3=x+10/15
Answer:
4/3=x+10/15
x=4/3 - 10/15
x=4/3 - 2/3
x=4-2/3
x=2/3
10 POINTS : What is the solution to the equation 3/5x-6=-1/6x+7, rounded to three decimal places?
Answer:
x = 16.957
Step-by-step explanation:
(3/5)x - 6 = (-1/6)x + 7
Add (1/6)x to both sides. Add 6 to both sides.
(3/5)x + (1/6)x = 7 + 6
(18/30)x + (5/30)x = 13
(23/30)x = 13
Multiply both sides by 30/23.
x = 13/1 * 30/23
x = 390/13
x = 16.957
draw a flat shape that has no straight sides or angles
Answer:
try drawing a circle or an oval
Step-by-step explanation:
There are no edges or corners to a circle, ovals, or semicircles, making it a spherical form. Shapes may be categorized and sorted using these qualities as well as size.
What is a circle?A group of points that are all at the same distance from a fixed point is how it is characterized (called the center of a circle).
Ovals, semicircles, circles, and other closed forms all lack straight lines. Having one curved edge and one straight edge, a semicircle is a closed form.
An oval is a circle that has been flattened such that it resembles an egg or an ellipse: a mirror with an oval shape; a face with an oval shape. Ellipsoidal comparison.
By dividing a circle into two equal halves along the diameter line, a semicircle is created. There is just one line of symmetry in the semicircle, and that is the reflection symmetry. A half-disk is another name for the semicircle.
Thus, the flat shape that has no straight will be ovals, semicircles, and circles.
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Given 4 c + 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c + 5 not-equals 0
Answer:
1 / 4c+5
Step-by-step explanation:
Given :
4c + 5 ≠ 0
c is a real number.
Find the multiplicative inverse of equation ?
The multiplicative inverse of a number is reciprocal of number
Let
x = a number
The multiplicative inverse = 1/x
Let 4c + 5 ≠ 0 be a number x
Then, the multiplicative inverse of x = 1/x
x = 4c + 5
1/x = 1 / 4c+5
Therefore, the multiplicative inverse of 4c + 5 = 1 / 4c+5
Answer:
yes what he said
Step-by-step explanation:
on edge
a regular polygon has 20 sides the measure of an exterior angle of polygon is
Answer:
198 degrees
Step-by-step explanation:
Such a shape is called a 20-gon, such shapes have an interior angle of 162. Hence, the exterior angle = 360 (Complete angle) - 162 (The interior anlge) = 198 degrees, Hope my answer helps you, Thank you, and please add me as brainliest! Thanks
Answer:
Step-by-step explanation:
Such a shape is called a 20-gon, such shapes have an interior angle of 162. Hence, the exterior angle = 360 (Complete angle) - 162 (The interior anlge) = 198 degrees, Hope my answer helps you, Thank you, and please add me as brainliest! Thanks and Godbless
Calculate the average speed between 160 s to 200 s
[tex]v=(0-150)/(200-160)=-150/40=-3,75[/tex]Answer:
-3,75
Step-by-step explanation:
Velocity is the derivative of time displacement
The geometric meaning of the derivative-tangent of the angle of inclination of the tangent to the function.
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select ALL of the true statements.
A. Segment EF is twice as long as segment AB, True or False
B. Segment CD is twice as long as segment FG. True or False
C. The measure of angle HEF is twice the measure of angle DAB. True or False
D. The length of segment EH is 16 units. True or False
E. The measure of angle BCD is the same as the measure of angle GFE. True or False
Answer: b,e
Step-by-step explanation:
I need help with this geometry question
Answer:
Angle [tex]AEC=80[/tex]°
Step-by-step explanation:
Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = 7, passing through (1,-3)
Answer:
Step-by-step explanation:
y + 3 = 7(x - 1)
y + 3 = 7x - 7
y = 7x - 10
Which expression is equivalent to 7-3x+2
A. 7-x
B.7-2x
C.9-x
D.9-3x
Answer:
D
Step-by-step explanation:
7-3x+2=0
9-3x=0
-3x=-9
x=-9/-3
x=3
D)9-3x=0
-3x=-9
x=-9/-3
x=3
Please mark me as BRAINLIST
Is Nora or Sofia correct? Explain your reasoning.
Answer:
Nora is correct
Step-by-step explanation:
Sophia used an appropriate method for computing the value of the repeating decimal fraction ...
0.1212_12
Close examination of the given decimal fraction shows that it is non-repeating, so is an irrational number. It cannot be represented by the ratio of integers.
Nora is correct in saying Sophia made a mistake.
___
Sophia depended on 100x -x cancelling some part of the fraction, so the result was a finite decimal. For repeating 2-digit fractions, this works well:
[tex]x=0.12\overline{12}\\100x=12.12\overline{12}\\100x-x=12.12\overline{12}-0.12\overline{12}=12\\x=12/99[/tex]
However, the decimal does not repeat, so this does not work:
100x = 12.1121112
100x -x = 12.1121112 -0.121121112 = 11.99099009900099... non-repeating
That is, the decimal part is not cancelled by Sophia's work, as we said above.
6x-2=7x+9 find x plz help
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
[tex]6x-2=7x+9[/tex]
Add 2 to both sides:
[tex]6x-2+2=7x+9+2[/tex]
[tex]6x=7x+11[/tex]
Subtract 7x from both sides:
[tex]6x-7x=7x+11-7x[/tex]
[tex]-x=11[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]
[tex]x=-11[/tex]
Answer:
X= -11
Step-by-step explanation:
Simplifying
6x + -2 = 7x + 9
Reorder the terms:
-2 + 6x = 7x + 9
Reorder the terms:
-2 + 6x = 9 + 7x
Solving
-2 + 6x = 9 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-2 + 6x + -7x = 9 + 7x + -7x
Combine like terms: 6x + -7x = -1x
-2 + -1x = 9 + 7x + -7x
Combine like terms: 7x + -7x = 0
-2 + -1x = 9 + 0
-2 + -1x = 9
Add '2' to each side of the equation.
-2 + 2 + -1x = 9 + 2
Combine like terms: -2 + 2 = 0
0 + -1x = 9 + 2
-1x = 9 + 2
Combine like terms: 9 + 2 = 11
-1x = 11
Divide each side by '-1'.
x = -11
Simplifying
x = -11
Solve the equation: 2^2 − 9 + 10 = 0 Step by step
Step-by-step explanation:
2^2 − 9 + 10 = 0
4-9+10=0
4+1=0
5=0
False