x 3.4.40-BE
Quest
Suppose the supply for a certain textbook is given by P
Find the equilibrium quantity and the equilibrium price.
and demand is given by p= - +10, where p is the price and q is the quantity. The graph of these equations is shown to the right.
Answers
Answer:
(d) is correct
Equilibrium quantity is 4.5
Equilibrium price is 5
Step-by-step explanation:
Given
[tex]p = \frac{1}{4}q^2[/tex] -- supply
[tex]p = -\frac{1}{4}q^2 + 10[/tex] -- demand
Required
Find the equilibrium price
Equilibrium price is when:
[tex]Demand = Supply[/tex]
This means that (d) is correct
So, we have:
[tex]p =p[/tex]
[tex]\frac{1}{4}q^2 = -\frac{1}{4}q^2 + 10[/tex]
Collect Like Terms
[tex]\frac{1}{4}q^2 +\frac{1}{4}q^2= + 10[/tex]
[tex]\frac{1}{2}q^2 = 10[/tex]
Multiply both sides by 2
[tex]2*\frac{1}{2}q^2 = 2*10[/tex]
[tex]q^2 = 20[/tex]
Take the square root of both sides
[tex]q = \sqrt{20[/tex]
[tex]q = 4.47[/tex]
[tex]q = 4.5[/tex] -- approximated
The equilibrium price is:
[tex]p = \frac{1}{4}q^2[/tex]
Substitute value for q^2
[tex]p= \frac{1}{4}*20[/tex]
[tex]p = 5[/tex]
Related Questions
use the distributive property to solve 7(x-9)
Answers
Answer:
7x - 64
Step-by-step explanation:
7(x - 9)
~Use the distributive property
7x - 63
Best of Luck!
Convert 2.235 to the simplest fraction
Answers
Answer:
2 47/200
I don't know if is right, but that's what I got.
help asap please i will give you a heart
Answers
Answer:
32.4
Step-by-step explanation:
i knoiw it
HELP ASAP PLS! The ratio of bows to headbands of Monique’s hair accessories is 8:4. Select all true statements.
A. For every 8 hair accessories, 4 are bows.
B. For every 8 bows, there are 4 headbands.
C. For every 8 headbands, there are 4 bows.
D. For every 8 hair accessories, 4 are headbands.
E. For every 12 hair accessories, 4 are headbands.
Answers
PLEASE HELP WILL GET MANY POINTS
Answers
Answer:
34
Step-by-step explanation:
5644444444444444444
Okay so I have tried my best on 8 and 10 I am still working on 9
8 the answer is 12sin(4x)
10 -sec^2 (2x)•2
Madison will be 14 in 5 years . Which equation best describes Madison‘s age (x) today?
Answers
or
14 - x = 5
or
14 - 5 = x
i think last one works best but all work
maria bouth a dress that was marked down from 450pesos to 350pesos what was the rate of discount?
Answers
Answer:
Ambitious Ambitious Ambitious Ambitious
There are 2 white chocolates for every plain chocolate in a box of chocolates.
There are no chocolates of any other colour in the box.
There are 10 plain chocolates in the box.
How many chocolates are there in the box altogether?
Answers
Answer:
The are 30 chocolates in the box.
Step-by-step explanation:
Since there are 2 white chocolates for every plain chocolate in a box of chocolates, and there are no chocolates of any other color in the box, and there are 10 plain chocolates in the box, to determine how many chocolates are there in the box altogether the following calculation must be performed:
10 + (2 x 10) + 0 = X
10 + 20 + 0 = X
30 = X
Therefore, there are 30 chocolates in the box.
Which system of inequalities is shown in the graph?
A. ys -x + 3
ys x2-3x
B. ys-x+ 3
yzx²-3x
c. yz -x+ 3
ya x2-3x
D. ys X+3
ysx²-3x
Answers
Answer: Choice A
==========================================================
Explanation:
One shaded region is below the parabola, and the other shaded region is below the line. They both overlap outside the parabola, but under the straight line.
Since both shaded regions are below their respective boundaries, this means that we'll be using "less than" signs for each inequality. The solid boundary lines indicate "or equal to" is part of that as well.
Because of this, the answer is between A and D since both involve inequality signs that have "less than or equal to".
However, we can rule out choice D since the inequality [tex]y \le x+3[/tex] would have the boundary line [tex]y = x+3[/tex], and this boundary line has a positive slope. But notice how the red diagonal line slopes downward as we read from left to right. Therefore, the red line must have a negative slope. Luckily, choice A has one of the boundary lines as y = -x+3 to fit the description. So that's why choice A is the answer.
The system of Inequality shown by the graph given is; Option A; y ≤ x + 3 ; y ≤ x² - 3x
What is the system of inequality?
From the given inequality graph, we can see that one of the shaded regions is below the parabola while the other one is in between the bottom of the line and the parabola.
Due to the fact that both shaded regions are below their respective boundaries which are parabola and line respectively and the boundary lines are thick, it means that we will make us of the "less than or equal to" signs for each inequality.
Because of this, the answer is between A and D since both involve inequality signs that have "less than or equal to".
Thus, the correct answer is option A
Read more about Inequality at; https://brainly.com/question/25275758
original price is 45 and the new price is 56 what is the percent change
Answers
Answer:
podés hacerlo de varias formas cra
What is the volume of the solid figure
Answers
Answer:
102 foot^3
Step-by-step explanation:
First, the box in the middle: 4x3x8=96
Then the 2 other boxes are: 2x(1x1x3)=6
6+96=102
What is the measure of angle DFE?
Answers
Answer:
28
Step-by-step explanation:
its vertically opposite
Answer:
28
Step-by-step explanation:
Vertical angles always have the same measure, so the measure of DFE would also be 28 degrees
2.2 Roulette wheel: The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) You watch a roulette wheel spin 4 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin
Answers
Answer:
9/19
Step-by-step explanation:
Number of slots =38
red balls R = 38, black balls B = 18, green balls G = 2
we want to calculate
P( Red ball/ previous 4 spins are red) = P( red ball) [because each spin is independent to other]
= 18/38 = 9/19
QUESTION IS THE PICTURE PLS HELP ME!!!!!
Answers
Maximum 11
Median 7
First Quartile 6
Third quartile 9
Mean 7.1
Mode 7
Range 8
Will mark brainlist I will please give right answers only or you’ll be reported will mark by nearest 10 points
Answers
Answer:
Choice A
Step-by-step explanation:
This is because you just need to find Angle AGE, and you have found x. You find this by adding up 51 plus 90, and subtracting it from 180, to get it, because those three top angles are supplementary.
Answer:
x=39 degrees, so A
Step-by-step explanation:
Since 90-51=39, and <AGC = <BGD, x=39 degrees
Where would the point
(4, 2) be located on the coordinate plane?
A) At x = 4 and y = 2
B) At x = 2 and y = 4
C) At x = 4 and y = 6
Answers
Answer:
A) At x = 4 and y = 2
Step-by-step explanation:
When you have something like (4,2), as shown above, the first number in parenthesis is x while the second number is y.
So here, the 4 would be x and the y would be 2
Answer:
A
Step-by-step explanation:
x4 and y2 and =6a at 4x and 2y
A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)
how many bicycles were produced from 8 to 2
Answers
Answer:
221
Step-by-step explanation:
Day 8 is the first day of the second week.
Day 21 is the last day of week 3.
We need to know the n umber of bicycles made from t = 1 to t = 3
The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.
We need to integrate the function with the limits of 1 to 3.
[tex] \int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt [/tex]
[tex] \int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt [/tex]
[tex]= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}[/tex]
[tex] = 330.45 - 109.72 [/tex]
[tex] = 220.7333 [/tex]
Answer: 221
Which graph represents the solution to this inequality? 16x-80x<37+27
Answers
Answer:
A
Step-by-step explanation:
Hope this helps
Find the surface area of this rectangle prism
Answers
EXPLANATION:
Answer:
Step-by-step explanation:
formula: SA = 2(wl+hl+hw)
SA = 2(wl+hl+hw)
SA = 2(12x16 + 10x16 + 10x12)
SA = 2(192 + 160 + 120)
SA = 2(472)
SA = 944
ANSWER: 944 square inches
Larry can buy 4 pizzas for $27 at Pizza Rocks or pay $32 for 5 pizzas at Scrabbles Pizza. Which deal
should he take to get the best deal? (Pizza Rocks or Scrabbles Pizza)
Whoever responds first will get marked best
Answers
Answer:
the $32 for 5
Step-by-step explanation:
Answer: I think he should get the "Pizza Rocks".
Sorry if its wrong!
5.71+18= help help help
Answers
it isssss 23.71..
lslslslsl
Answer:
5.71+18 would equal 23.71
Step-by-step explanation:
If my explanation makes sense, it will help you in the future!
Always see if the numbers you are adding are both decimals, both whole numbers, or one is a decimal and one is a whole number. In this case, it's one decimal, one whole number. So you could easily just add the two whole numbers(5+18) and then put the decimal at the end.
Hope this helps!
what is the reciprocal of 19
Answers
Answer:
1/19
Step-by-step explanation:
In order to find the reciprocal of a number, we need to flop it over.
"Flopping over" is not the same as "changing the sign of the number"
So what does "flopping over" actually mean?
Consult the following formula:-
[tex]\sf{The~reciprocal~of~a~is\mapsto\frac{1}{a} }[/tex]
According to the formula,
[tex]\sf{The~reciprocal~of~19~is~\frac{1}{19}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Find the value of x
Answers
Answer:
60 think
Step-by-step explanation:
help me please thank you!!
Answers
Answer:
y=2/7x+4
Step-by-step explanation:
7y-2x=42
7y=2x+42
y=2/7x+6
slope is 2/7
parallel means the slope is the same so y=2/7x+4 is correct
find the area of the figure
Answers
Answer:
30 units
Step-by-step explanation:
The formula for finding the area of a triangle is 1/2b x h
So b = 12
and h = 5
1/2(12) = 6
6 x 5 = 30
I could be wrong here so
Here's a little tip:
I can tell you're using G.oogle Forms, so you can press ctrl + U and find the answers in the code
solve: 14.975 divided by 9.5
Answers
Answer:
1.57631579
Step-by-step explanation:
14.975 ÷ 9.5 = 1.57631579
PLEASE HELP ME IN ONE MINUTE
Answers
Answer: B
Step-by-step explanation:
Asha makes a conjecture that the perimeter of a square whose sides are an odd
integer is always even. Which choice is the best proof of her conjecture?
Answers
Answer:is the bottom left corner “let n ....”
Step-by-step explanation:
2. For rectangle , m angle PLE=5x+2 and m angle NLE=3x . Determine the value of x, m angle PLE , and m angle NLE .
Answers
Answer:
hmmmmmm
Step-by-step explanation:
Answer:
CAN SOMEONE ACTUALLY SOLVE IT PLEASE
Step-by-step explanation:
determine el valor de k en la ecuación de la recta kx-3y=0 que es perpendicular a la recta y=2x+4.
Answers
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation: