Answer:
The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].
Step-by-step explanation:
From statement we get the following equations:
Supply curve
[tex]90\cdot x - y = -50[/tex] (1)
Demand curve
[tex]10\cdot x + y = 200[/tex] (2)
Where:
[tex]x[/tex] - Quantity, measured in thousands of metric tons.
[tex]y[/tex] - Price, measured in US dollars per metric tons.
If we add both equations, then we find that quantity is:
[tex](90\cdot x -y )+(10\cdot x +y) = -50+200[/tex]
[tex]100\cdot x = 150[/tex]
[tex]x = \frac{3}{2}\,kton.m[/tex]
Then, we finally find the price by substituting on (2):
[tex]y = 200-10\cdot \left(\frac{3}{2} \right)[/tex]
[tex]y = 200-15[/tex]
[tex]y = 185\,USD[/tex]
The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].
What is the intermediate step in the form (x + a)? = b as a result of completing the
square for the following equation?
x2 + 18x + 57 = 12
Answer:
(x + 9)² = 36
Step-by-step explanation:
Given
x² + 18x + 57 = 12 ( subtract 57 from both sides )
x² + 18x = - 45
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(9)x + 81 = - 45 + 81
(x + 9)² = 36
How many solutions does the system have?
y= -5x - 1
y = -5.2 + 7
Answer: y= -5x - 1
y = -5.2 + 7
Step-by-step explanation: y= -5x - 1 has 3. y = -5.2 + 7 has 1
What operation is being done to the variable in the equation -5m = -40?
It's being multiplied by -5.
It's being divided by -5.
It's being multiplied by -40.
It's being divided by -40.
Answer:
it is A
Step-by-step explanation:
can somebody help me
4.
For each equation, find a value for x that makes the equation true. Show your work on the next
page.
a.
x=3 = 12
b.
c.
Ex-3
d.
2x + 3 = 20
4 10
3
- 4x = -24
2(x - 4) = 10
-0.5x + 1.1 = -2.9
e.
f.
Answer:
a) 36
b) 8.5
c) 5/2
d) 6
e) 9
f) 8
Step-by-step explanation:
a) [tex]x \div 3 =12[/tex]
Multiply both sides by 3
[tex]x \div 3 =12\\3*(x \div 3) = 12*3\\x=36[/tex]
b) [tex]2x+3=20[/tex]
Subtracting 3 from both sides
[tex]2x+3-3=20-3\\2x=20-3\\2x=17\\x=\frac{17}{2}\\x=8.5[/tex]
c) [tex]\frac{4}{3}x=\frac{10}{3}[/tex]
Multiply both sides by 3/4
[tex]\frac{4}{3}x*\frac{3}{4} =\frac{10}{3} *\frac{3}{4}\\x=\frac{5}{2}[/tex]
d) [tex]-4x=-24[/tex]
Divide both sides by -4
[tex]-4x=-24\\\frac{-4x}{-4}=\frac{-24}{-4}\\x=6[/tex]
e) [tex]2(x-4)=10[/tex]
Divide both sides by 2
[tex]2(x-4)=10\\\frac{2(x-4)}{2}=\frac{10}{2}\\x-4=5\\Adding \ 4 \ on \ both \ sides\\x-4+4=5+4\\x=9[/tex]
f) [tex]-0.5x+1.1=-2.9[/tex]
Subtracting 1.1 on both sides
[tex]-0.5x+1.1-1.1=-2.9-1.1\\-0.5x=-4\\Divide \ both \ sides \ by \ -0.5\\\frac{-0.5x}{-0.5}=\frac{-4}{-0.5}\\x=8[/tex]
SHOW WORK PLEASE!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
add hen sub ten bom anwwerWhich statement is correctly written as a conditional statement?
A) Any four-sided shape is a quadrilateral.
B) A shape has four sides when it is a quadrilateral.
C) If a shape has four sides, then it is a quadrilateral.
D) A shape has four sides, or it is a quadrilateral.
Answer:
C
Step-by-step explanation:
If a shape has four sides, then it is a quadrilateral.
If a shape has four sides, then it is a quadrilateral so option (C) will be correct.
What is quadrilatereal?A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.
In other meaning, a quadrilateral is a kind of polygon in which four sides for example rectangle, square, and parallelogram are quadrilateral.
a quadrilateral is a four-sided polygon, having four edges and four corners
A parallelogram is a basic quadrilateral with two sets of parallel sides.
The confronting or opposing sides and the opposing angles of a parallelogram are of equal length.
A quadrilateral is a quadrilateral because it has four sides not because it is quadrilateral so it has four sides.
For example, 4 sides are equal so the square is not due to the square all lines will same.
Hence If a shape has four sides, then it is a quadrilateral.
To learn more about quadrilateral,
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Order these numbers from least to greatest.
NEEDS HELP NOW! BRAINLIEST!
Answer:
4.47, 121/25, 4 17/20, 4.859
More details: U could just change them into decimals bc it’s easier that way but people have different ways so it’s ok that’s just my opinion.
factor the expression 2.3 + 15 + 30
PLease please help idk how to do this
Answer: its 47.3
Step-by-step explanation: factor the polynomial
Answer: 47.3
simple addition
30+15=45
45+2.3=47.3
Which is the function represented by the table ?
Answer:
its b
Step-by-step explanation:
can somebody please help me on these questions ASAP , I appreciate it so much :)
Fraction 3•5 • fraction 4•9 =
Answer:
Step-by-step explanation:
3.5×4.9
=35/10×49/10
=1715/100
Or 17.15 answer
Answer:
Step-by-step explanation:
3/5 times 4/9. multiply straight across. 3 times 4 is 12. 5 times 9 is 45. your answer is 12/45. but this answer can be simplified if we take out a 3 for each one. so you have 4/15
Write the equation that models the linear relationship
Answer:
is it degrees
Step-by-step explanation:
?
Andrew spent $45.45 on two shirts that were the same price and a pair of pants. If the pants were $16.99, how much was each shirt?
Answer:
22.72
Step-by-step explanation:
45.45 divided by 2 is 22.725
Answer:
$14.23
Step-by-step explanation:
$45.45 - $16.99 ( pants ) = $28.46
$28.46 / 2 (since 2 shirts)
$14.23 for both shirts!
Lucy can buy a pair of shoes from 4 different retailers. Which is the best buy?A.Online Shoes for $32, plus a sales tax of 8% and shipping and handling costs of $6B.From the Best Buy Shoes catalog for $35 plus 8% sales tax and free shipping and handling.C.Local shoe store for $38 with 15% discount and 8% sales taxD.Local shoestore for $40 with 25% discount and 8% sales tax
9514 1404 393
Answer:
D. $40 with 25% discount
Step-by-step explanation:
All of the options have 8% sales tax, so that is not important to choosing the best deal.
The store with the lowest price after discount is D (local shoe store #2), as the discount brings the price down to $30 before tax.
The price at store C (local shoe store #1) will be 15% less than $38.00, so about $5.70 less. That is not as low a price as at store D.
The best buy is had at store D.
__
In the spreadsheet, we have multiplied the base price by (1+discount) then added shipping. That total is multiplied by (1+tax rate).
-8-3x=-8(1-7x) how many solutions will mark barilest
Answer:
x=0
Step-by-step explanation:
-8-3x=-8(1-7x)
add 8 to both sides =( -3x=56x)
subtract 56x from both sides (-59x=0)
divide both sides by -59 = (x=0)
please help me in this question
Answer:
30
Step-by-step explanation:
use Pythagoras theorem at first to find the third side of the triangle it will come 5
then use the formula to find the area of triangle
A=(5x12)/2=30cm2
Ryan wrote a total of 8 pages over 2 hours. How many hours will Ryan have to spend writing
this week in order to have written a total of 48 pages? Assume the relationship is directly
proportional
Answer:
12 Hours
Step-by-step explanation:
So it says he writes 8 pages in 2 hours. Which would mean he takes an hour to write 4 pages. You divide 48 pages by 4 hours and you get 12.
A tank is filling up with water at a rate of 3 gallons per minute. The tank already had 5 gallons in it before it started being filled. What is the starting amount of the water tank?
Answer:
5 gallons
Step-by-step explanation:
there were 5 gallons already in the tank before it started to get filled.
The solution to the system of equation below is (−2, −1).
2x − 3y = −1
11x − 9y = −13
When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.
Which system of equations will also have a solution of (−2, −1)?
5x = −10
11x − 9y = −13
2x + 9y = −1
11x − 9y = −13
−6x + 9y = −1
11x − 9y = −13
−6x + 3y = −1
5x = −10
Which system of equations will also have a solution of (−2, −1)?
Answer:
I'm pretty sure it's 5x= -10
Answer:
5x = −10
11x − 9y = −13
took test edg 2021
log(x+1)−log(x−8)=log(10)
How do i solve this?
9514 1404 393
Answer:
x = 9
Step-by-step explanation:
The applicable rule of logarithms is ...
log(a) -log(b) = log(a/b)
__
Use the rules of logarithms to simplify the left side to a single log, then take the antilogs and solve the resulting equation.
log(x+1) -log(x-8) = log(10)
log((x+1)/(x-8)) = log(10)
(x +1)/(x -8) = 10 . . . . . . . take antilogs
x +1 = 10(x -8) . . . . multiply by x-8
81 = 9x . . . . . . . add 81-x, simplify
9 = x . . . . . . . . . divide by 9
_____
When the equation is rewritten to the form f(x) = 0, the x-intercept is the solution.
The image point of A after a translation right 2 units and down 1 unit is the point B (10,−1). Determine the coordinates of the pre-image point A.
Answer:
pre image point A (8,0)
Step-by-step explanation:
I guess thats the answer
A = (x, y)
After a translation right 2 units and down 1 unit is the point B (10, -1)
A = (x + 2, y - 1)
B = (10, -1)
A = B
x + 2, y - 1 = 10, -1
x, y = 10 - 2, -1 + 1
x, y = 8, 0
(x, y) = (8, 0)
The coordinates of pre-image point A is (8, 0)
x2 + 8x + 4 = 0
please help
Solve the quadratic equation
Answer:
4
Step-by-step explanation:
Answer:
x= -2/5 or - 0.4
Step-by-step explanation:
please I need help I will mark brainiest
Answer:
sorry i looked and i tried, but i dont know the answer.
Step-by-step explanation:
Can anyone help me ?
Answer:
1
Step-by-step explanation:
The zero of a liner function is where it crosses the x-axis
According to a survey conducted by the Texas Free Press, 125 out of 500 people do not have internet access at their homes. What percent of the people surveyed do have internet access at their homes?
125 do not
375 have
500 is the total
500-125 =375
375/500
500 divided by 375 = 0.75
75%
Austin makes $7.75 per hour at his job at the car wash. How many full hours does Austin need
to work to make $100?
Answer:
13 full hours
Step-by-step explanation:
Divide.
100 / 7.75 ≈ 12.9
He needs to work FULL hours, so round up.
12.9 -> 13
Best of Luck!
Answer:
He would need to work 13 hours.
Explanation:
If you divide 7.75 from 100 you will get a decimal of 12.9032258065 but if we round then it would be 13 meaning that the answer is 13 hours.
x^2-4x+3=0 complete the square
As per the quadratic equation, the given equation can be modified into (x - 2)² = 1. The value of x is 3, 1.
What is a quadratic equation?A quadratic equation is an equation where the variable has the highest degree of 2. A quadratic equation might have more than one variable. However, the highest degree of any variable must be 2.
Given equation: x² - 4x + 3 = 0
⇒ x² - 4x + 3 + 1 = 1 (By adding 1 on either side)
⇒ x² - 4x + 4 = 1
⇒ x² - 2 × x × 2 + 2² = 1
⇒ (x - 2)² = 1
⇒ x - 2 = ±1
⇒ x = 3, 1
Learn more about a quadratic equation here: https://brainly.com/question/1603229
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4) What type of angle pair are
A. vertical angles
B. supplementary angles
C. adjacent angles
D. linear pair
Answer:
C. adjacent angles
Hope this helps also please mark brainliest :)
PLEASE HELP !! 10 POINTS AND BRAINLIEST !! <3
Answer:
Your answer would be (7, -9)