Answer:
The linear equation relating price to demand is Q=-0.5*P + 30
Step-by-step explanation:
The demand for a good is the quantity of that good that the demanders are willing to purchase at a given price.
Then, the Demand Curve relates the quantity that a consumer would be willing to buy as a function of price.
You seek to determine the linear equation that relates the price to the demand Q = m * P + b where Q is the quantity demanded at a price P, and compared with the equation of the straight line y = mx + b, m is the slope and b is the ordinate to the origin.
On a line of the form y = m * x + b, the value of m, having two points, is calculated by:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
And the ordinate to the origin b is calculated, taking the value of m, replacing any of the two points (replacing any of the two because it must give the same value of b) in the expression y = m * x + b and solving its value.
In the case of Q=m*P+b, the value of m, having two points, is calculated by:
[tex]m=\frac{Q2-Q1}{P2-P1}[/tex]
Being:
Q1= 5P1= $50Q2= 10P2= $40and replacing:
[tex]m=\frac{10-5}{40-50}[/tex]
you get:
m= -0.5
So, being Q=-0.5*P+b, b is calculated by:
Replacing the point Q1= 5 and P1= 505= -0.5*50 + b → 5= -25 + b → 5+25= b → b= 30
Replacing the point Q1= 10 and P1= 4010= -0.5*40 + b → 10= -20 + b → 10+20= b → b= 30
Then, the linear equation relating price to demand is Q=-0.5*P + 30
can help me with this one?
A. 5x+9=17
B. -8x-7=15
C. 6(3×+8)=-
please send me the answer for both
Answer:
A is 1.6 and ion the other ones
In your own words define and give an example of Associative Property
Answer:
The associative property states that you can add or multiply regardless of how the numbers are grouped.
Step-by-step explanation:
3+4+9=9+3+4=4+9+3 etc
Both the galapagos Islands and the island of naura are on the equator, but the galapagos Islands are at 90.30 degree West whereas the island of naura is at 166.56 degree east. How far is it from galapagos Islands to naura travelling over the pacific ocean along the equator, correct to the nearest km
Answer:
11481.4875 km
Step-by-step explanation:
Given the that :
Galapagos island and Island of Naura are on the equator
Galapagos = 90.30°W
Island of Naura = 166.56°E
Ensuring same bearing is used for both :
Island of Naura = 166.56°E = (360° - 166.56°) = 193.44°W
Hence, we can calculate the difference in the bearing of both locations :
(193.44 - 90.30)°W = 103.14°
Hence the distance between Galapagos and Island of Naura along the equator is :
(Difference in bearing / total bearing) * earth's Circumference
Earth's Circumference = 40,075km
(103.14 / 360) × 40,075
0.2865 × 40,075
= 11481.4875 km
=
What is true of all multiples of 6? A. All multiples of 6 have 2 and 3 as factors. B. All multiples of 6 have 12 as a factor. C. All multiples of 6 must end in 2, 3, or 6. D. A multiple of 6 cannot have 5 as a factor.
Answer:
A
Step-by-step explanation:
An international company has 29,700 employees in one country. If this represents 29.8% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer:
99, 664
Step-by-step explanation:
Let company has total x employees.
[tex]29.8 \% \: of \: x = 29700 \\ \\ 0.298x = 29700 \\ \\ x = \frac{29700}{0.298} \\ \\ x = 99,664.4295 \\ \\ x \approx \: 99,664 \: [/tex]
Answer: 99,664 employees in total
Step-by-step explanation:
So if 29.8% of the total people is 29,700 people then we could represent that by the equation.
29.8% * x = 29,700 where x is the total people.
0.298 * x = 29,700
0.298x = 29,700
x = 99,664.429
Rounded to the nearest whole number is 99,664
Given the function f (x) = 5x^2 - 2 find f (-3).
Answer:
Step-by-step explanation:
5(-3)^2 - 2
5(9) - 2
45 - 2 = 43
What is the value of x that makes the given equation true? 4x−3=−12x+13 x=−3 x = 0 x = 1 x = 16
Answer:
The answer is C.
:)
Step-by-step explanation:
4x − 3= −12x + 13
4x + 12x = 13 + 3
16x = 16
x = 1
Answer:
X=1
Step-by-step explanation:
I took the k12 test and got it right
have a good life =D
A triangle has a perimeter of 48 inches. Side B is nine inches longer than side A. The base is 7 inches more than twice side A. What are the dimensions of the triangle?
Answer:
(A, B, C) = (8, 17, 23) inches
Step-by-step explanation:
We can let A, B, and C represent the corresponding side lengths. Then we are given ...
A + B + C = 48 . . . . . . the perimeter is 48 inches
B = A + 9 . . . . . . . . . . . B is 9 inches longer than A
C = 2A +7 . . . . . . . . . . the base (remaining side) is 7 inches more than ...
Substituting for B and C in the first equation, we have ...
A + (A+9) +(2A+7) = 48
4A = 32 . . . . . . . . . . . . . . collect terms, subtract 16
A = 8
B = A+9 = 17
C = 2A +7 = 23
Side A is 8 inches, side B is 17 inches, and side C is 23 inches.
Everytime i try to answer the questions in the same format given it shows as unexpected character.Is there anyway i can fix this so i can submit the answers i am getting on here?
Answer:
use "Help"
Step-by-step explanation:
You need to learn how your software expects to see "infinity." It may need to be spelled out "infinity" or abbreviated "inf" or "infty".
For starters, I suggest you use the "Help" link on the page you show. If that doesn't answer the question, then consult with your instructor.
PLEASE HELP!!!! THE WEBSITE ISN'T WORKING FOR ME!! Is it working for anyone else?!?!
Go to the U.S. Census Bureau's Historical National Population Estimates, 1900 to 1999 website. Write the national population of the United States for 1999 and the average annual change (growth rate given in percent) for that year.
Answer:
272,690,813 2,442,810 0.90
national population . popullation change . average annual percent change
Step-by-step explanation:
Find the measure of each angle: ∠3 and ∠4 are supplementary. m∠3 = 5x + 22 and m∠4 = 7x + 2.
Answer:
∠3 = 87°∠4 = 93°Step-by-step explanation:
Since ∠3 and ∠4 are supplementary it means the the sum of their angles is equal to 180°
To find the angles add both ∠3 and ∠4 and equate it to 180° solve for x and substitute it into their various expressions
That's
∠3 + ∠4 = 180
5x + 22 + 7x + 2 = 180
12x + 24 = 180°
12x = 180 - 24
12x = 156
Divide both sides by 12
x = 13
So for ∠3
∠3 = 5x + 22
∠3 = 5(13) + 22
= 65 + 22
∠3 = 87°
For ∠4
∠4 = 7x + 2
∠4 = 7(13) + 2
= 91 + 2
∠4 = 93°
We have the answers as
∠3 = 87°∠4 = 93°Hope this helps you
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ m \: ∠ \: 3 = 87 °}}}}[/tex]
[tex] \boxed{ \bold{\boxed{ \sf{m \: ∠4 = 93 °}}}}[/tex]
Step-by-step explanation:
We know that the sum of supplementary angle adds up to 180 °
So,
[tex] \sf{5x + 22 + 7x + 2 = 180°}[/tex]
Collect like terms
⇒[tex] \sf{12x + 22 + 2 = 180°}[/tex]
Add the numbers
⇒[tex] \sf{12x + 24 = 180°}[/tex]
Move 24 to right hand side and change it's sign
⇒[tex] \sf{12x = 180 - 24}[/tex]
Subtract 24 from 180
⇒[tex] \sf{12x = 156}[/tex]
Divide both sides of the equation by 12
⇒[tex] \sf{ \frac{12x}{12} = \frac{156}{12} }[/tex]
Calculate
⇒[tex] \sf{x = 13}[/tex]
Value of x = 13
Now, substituting / Replacing the value of x
[tex] \sf{m ∠ 3 = 5x + 22}[/tex]
⇒[tex] \sf{ m \: ∠ \: 3 = 5 \times 13 + 22}[/tex]
⇒[tex] \sf{m \: ∠ \: 3 = 65 + 22}[/tex]
⇒[tex] \sf{ \: m \: ∠ \: 3 = 87}[/tex]
Again,
[tex] \sf{ \: m \: ∠ \: 4 = 7x + 2 }[/tex]
⇒[tex] \sf{m \: ∠ \: 4 = 7 \times 13 + 2}[/tex]
⇒[tex] \sf{ \: m \: ∠ \: 4 \: = 91 + 2 }[/tex]
⇒[tex] \sf{m \: ∠ \: 4 = 93 }[/tex]
m ∠ 3 = 87
m ∠ 4 = 93
Hope I helped!
Best regards!!
what is 190000000000000000000999999x33
Answer:
5.7e+26
If you type in a calculator 19+19 0s + 6 9s multiplied by 3 you will get 5.7e+26.
Answer:
6.2700000 E27 (?)
Hope I helped!
Form the intersection for the following sets.
R={10, 15, 20}
S = {20, 25}
R ∩S=
{10,15,25}
{10,15,20,25}
{20}
{}
Answer:
Your required answer is option is {20}.
Step-by-step explanation:
Hey, there!!
The reason for above answer is we generally find intersections among the sets by extracting the common elements of the sets.
Here,
R = {10,15,20}
S = {20,25}.
Now, 20 is common im both so,
R intersection S = {20}.
Hope it helps...
Can you please help me with this I’ll give you a playlist for sure it’s
Answer:
15+(-37)
initial 15
fell 37 so -37
Answer:
B, or the one labeled 15 + (-37)
Step-by-step explanation:
It starts with 15 degrees F, which is positive.
Then, you'd add -37 degrees.
Adding -37 degrees to 15 is the same as subtracting 37 from 15.
Good luck mate :)
for f(x)=(x-3)/(x^(2)-4), the function is at x=2 continuous discontinuous with an infinite discontinuity discontinuous with a jump discontinuity discontinuous with a point discontinuity
Answer:
ITS UNDEFINED
Step-by-step explanation:
2-3)/2^2 - 4
-1/(4-4)
-1/0
ITS UNDEFINED
Answer:
[tex]\Large \boxed{\mathrm{discontinuous \ with \ a \ point \ discontinuity}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle f(x)=\frac{x-3}{x^2-4}[/tex]
When x = 2.
We can see that the denominator is equal to 0 when the input value is 2.
[tex]2^2-4=4-4=0[/tex]
Obtaining a zero in the denominator indicates a point of discontinuity.
In the graph below, we can see that the function is discontinuous at x = 2.
[tex]\rule[225]{225}{2}[/tex]
gabriela makes quilts to sell at charities. she can make 9 quilts with 36 yards of material. how many yards of material would she require for 13 quilts ?
Factorize the following quadratic equation u²- 12 u + 35 = 0
Answer:
X₁=7 ,X₂ = 5
Step-by-step explanation:
a= 1² b= - 12 c= 35
X =[ ( -b±√b²-4ac ) / 2a]
So, use this formula and get the answer...
Even if you use the middle term formula, you will get the same answer
Use the First Derivative Test to determine whether the critical point is a local min or max (or neither). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x)=(ln(2x)/8x)-7 (x>0)
Also determine the intervals on which the function is increasing or decreasing.
Answer:
Step-by-step explanation:
Let be [tex]f(x) = \frac{1}{8\cdot x}\cdot \ln(2\cdot x) -7[/tex], the first and second derivatives of the function are, respectively:
[tex]f'(x) = \frac{\left(\frac{2}{2\cdot x}\right)\cdot 8\cdot x-8\cdot \ln (2\cdot x) }{64\cdot x^{2}}[/tex]
[tex]f'(x) = \frac{8-8\cdot \ln (2\cdot x)}{64\cdot x^{2}}[/tex]
[tex]f'(x) = \frac{1-\ln(2\cdot x)}{8\cdot x^{2}}[/tex]
[tex]f''(x) = \frac{\left(-\frac{2}{2\cdot x} \right)\cdot (8\cdot x^{2})-[1-\ln(2\cdot x)]\cdot (16\cdot x)}{64\cdot x^{4}}[/tex]
[tex]f''(x) = \frac{-8\cdot x-16\cdot x+16\cdot x\cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]
[tex]f''(x) = \frac{-24\cdot x+16\cdot x \cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]
[tex]f''(x) = -\frac{3}{8\cdot x^{3}}+\frac{\ln (2\cdot x)}{4\cdot x^{3}}[/tex]
Now, let equalise the first derivative to zero and solve the resulting expression:
[tex]\frac{1-\ln(2\cdot x)}{8\cdot x^{2}} = 0[/tex]
[tex]1-\ln(2\cdot x) = 0[/tex]
[tex]\ln(2\cdot x) = 1[/tex]
[tex]\ln 2 +\ln x = 1[/tex]
[tex]\ln x = 1-\ln 2[/tex]
[tex]x = e^{1-\ln 2}[/tex]
[tex]x = \frac{e}{e^{\ln 2}}[/tex]
[tex]x = \frac{e}{2}[/tex]
[tex]x \approx 1.359[/tex]
This result is evaluated at the second derivative expression:
[tex]f''(1.359) =-\frac{3}{8\cdot (1.359)^{3}}+\frac{\ln [2\cdot (1.359)]}{4\cdot (1.359)^{3}}[/tex]
[tex]f''(1.359)\approx -0.050[/tex]
The critical value leads to a critical maximum and there are two intervals:
[tex](0, 1.359)[/tex] - Increasing
[tex](1.359,+\infty )[/tex] - Decreasing
The graphic of the function is presented below as attachment.
Please help asap!!!!!!
Answer:
the anser of this question for a is 17
Step-by-step explanation:
all sides are the same
when dividend is 45324 and divisor is 5, find the quotient and remainder
Answer:
45324÷5=9064
remainder=4
Hope it helps you!!
Find the distance between these points. C(0, 4), T(-6, -3) √(37) √(109) √(85)
Answer:
The answer is
[tex] \sqrt{85} [/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C(0, 4), T(-6, -3)
The distance between them is
[tex] |CT| = \sqrt{ ({0 + 6})^{2} + ({4 + 3})^{2} } \\ = \sqrt{ {6}^{2} + {7}^{2} } \\ = \sqrt{36 + 49} [/tex]We have the final answer as
[tex] \sqrt{85} [/tex]Hope this helps you
Solve for x.
8x + 3 > 4 (1/2x – 3)
Answer:
[tex]x>-5/2[/tex]
Step-by-step explanation:
So we have:
[tex]8x+3>4(\frac{1}{2}x-3)[/tex]
First, distribute the right:
[tex]8x+3>2x-12[/tex]
Subtract 2x from both sides:
[tex]6x+3>-12[/tex]
Subtract 3 from both sides:
[tex]6x>-15[/tex]
Divide everything by 6:
[tex]x>-15/6[/tex]
Reduce:
[tex]x>-5/2[/tex]
And this is our answer :)
How are you? (ignore: now for 20 more characters to meet the requirement to post this)
Answer:
lol
Step-by-step explanation:
personally... great... just mentally depressed and physically wanting to die but i guess that's great
Linda and juan went shopping. Linda spent $19 less than Juan. If we let x represent how much juan spent, write an algebraic expression for how much Linda spent
The area of a square is 289 ft2. What is the length of each side?
Answer:
17 ft
Step-by-step explanation:
the area of a square is length x length, or [tex]length^{2}[/tex]
so, since you already have the area, do the opposite of squaring it, which is finding the square root.
[tex]\sqrt{289}[/tex] = 17
The length of each side of a square is [tex]17 feet[/tex] whose area is [tex]289 ft sq[/tex]. (mentioned in the question).
A square is a four-sided figure in which all sides are equal in length and the measure of each angle is [tex]90^0[/tex]. The area is defined as the space that is contained inside the closed boundary or perimeter or circumference.
We know that the
area of the square = [tex]side \times side[/tex]
[tex]289 ft sq[/tex] [tex]= side \times side[/tex]
[tex]289 = (side) ^2[/tex]
[tex]\sqrt{289 } = side[/tex]
[tex]17 = side[/tex]
Thus, the length of each side of a square consisting of an area of[tex]289 ft sq[/tex] is [tex]17 feet[/tex] .
Learn more about Square here :
https://brainly.com/question/14198272
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WHY IS THE AU USEFUL?
Answer:
The objectives of the AU are the following: To achieve greater unity, cohesion and solidarity between the African countries and African nations. To defend the sovereignty, territorial integrity and independence of its Member States. To accelerate the political and social-economic integration of the continent.
Step-by-step explanation:
Answer:
because they help people "achieve greater unity"
in the first quadrant you start at 3,7 and move 3 units down what is the point you end up with
Answer:
(3, 4).
Step-by-step explanation:
The x coordinate stays the same but the y coordinate becomes 7 - 3 = 4.
What is the value of this expression when x = -6 and ? 4(x2 + 3) − 2y
Answer:
So you kinda forgot to mention the part where y = -1/2 but the answer is 157
Step-by-step explanation:
4(x^2 +3) - 2y
replace the variables
4(-6^2 +3) - 2 (-1/2)
use PEMDAS to solve
so parenthesis first and exponents
4(6x6 +3) -2 (-1/2)
4(36 +3) -2 (-1/2) (since you multiply a - by a - you get a +)
4(39) -2 (-1/2) (again - and a - is a positive)
4(39) + 1
156 + 1
157 there it is i got a 5 of 5 on my test and have a nice day :D
Add 3 + (-27) using the number line.
Select the location on the number line to plot the sum
-2
1
-1
0
1
2
1
1
2
2
12
Answer:
3/4+(-2 1/2)
Exact form -7/4
Decimal form -1.75
mixed number -1 3/4
2/3(6k-30)+k=100 this is the one I need help
The value of k = 20.
We have the following expression -
[tex]\frac{2}{3} (6k-30)+k=100[/tex]
We have to find the value of K.
Find the value of z → [tex]$log(2)^{z} = \pi[/tex].We have -
[tex]$log(2)^{z} = \pi[/tex]
z x log(2) = π
z = [tex]$\frac{\pi }{log\;2}[/tex]
z = 10.43
According to the question, we have -
[tex]\frac{2}{3} (6k-30)+k=100[/tex]
[tex]\frac{2}{3}\times 6[/tex](k - 5) + k = 100
4(k - 5) + k = 100
4k - 20 + k = 100
6k = 120
k = 20
Hence, the value of k = 20
To solve more questions on finding unknown variable, visit the link below-
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