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Evgen [1.6K]
2 years ago
8

PLEASE HELP TIME LIMIT

Mathematics
1 answer:
Arada [10]2 years ago
7 0
(x,y) + (- 1,4 here
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A group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250. The wholesale
stepladder [879]

Answer:

The required equilibrium point is (356.538,58.769)

Step-by-step explanation:

The two points on your demand equation are : (300,104) and (250,144)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the demand equation for the given problem, find slope using the above two points :

\implies Slope=\frac{144-104}{250-300}\\\\\implies Slope = -\frac{4}{5}=-0.8

And the y - intercept is : y = -0.8x + b

Find the value of b using any point. Let us take (250,144)

144 = -0.8 × 250 + b

⇒ b = 144 + 200

⇒ b = 344

So, the y-intercept is : y = -0.8x + 344

The two points on your supply equation are : (225,88) and (315,68)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the supply equation for the given problem, find slope using the above two points :

\implies Slope=\frac{68-88}{315-225}\\\\\implies Slope = -\frac{2}{9}

And the y - intercept is :

y = -\frac{2}{9}x + b

Find the value of b using any point. Let us take (225,88)

88 = -\frac{2}{9}\times 225 + b\\\\\implies b = 88 + 50\\\\\implies b = 138

So, the y-intercept is :

y = -\frac{2}{9}x + 138

To find the equilibrium point, solve both the y-intercepts of the demand equation and the supply equation :

⇒ x = 356.538 and y = 58.769

Hence, the required equilibrium point is (356.538,58.769)

8 0
2 years ago
A sinusoidal function whose period is 4π, maximum value is 6, and minimum value is -2 has a y intercept of 6. What is the equati
IRINA_888 [86]

Equation of the function: f(x) = 4 sin (x/2) + 6.

<h3>What is sinusoidal function ?</h3>

The term sinusoidal is used to describe a curve, referred to as a sine wave or a sinusoid, that exhibits smooth, periodic oscillation. It is named based on the function y=sin(x).

Given: max value= 6, min value= -2, y-intercept= 6.

As, standard form f(x) = A sin (ωx +φ) + k,

where A is the amplitude, ω is the angular velocity with ω=2πf.

Now,

A = |6- (-2)/2|

A = |6 +2/2| = 8/2

A = 4

Also, ω:

The period of a sinusoidal is T = 1/f

so, f = 1 / T

ω = 2πf

ω = 2π ( 1/T) with T = 4π

ω = 2π (1/(4π) = 2π (2)

ω = 1/2

The y-intercept k = 6

So, equation with values A =4, ω = 1/2, k = 6, φ = 0.

f(x) = A f(x)

f(x) = A sin (ωx +φ) + k

f(x) = 4 sin (x/2) + 6.

Hence, equation of the function f(x) = 4 sin (x/2) + 6.

Learn more about this concept here:

brainly.com/question/26315885

#SPJ1

4 0
2 years ago
Find the value of x, circles and angles
lorasvet [3.4K]

Answer:

x = 50

Step-by-step explanation:

When two secants intersect in the interior of a circle, the angles formed are the average of the arc an angle and its vertical intercept. In this case, our angle, 73, should be the average of x and 96. We can translate this to an equation and solve:

\frac{x+96}{2} = 73

x + 96 = 146

x = 50

4 0
2 years ago
Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts
Mashutka [201]

Answer:

20 fence posts.

Step-by-step explanation:

Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts 2 feet apart.

Now, if he puts a fence post at each corner of the building, then considering each length of the building there will be (\frac{10}{2} + 1) = 6 posts along each length.

Now, considering each width of the building there will be (\frac{10}{2} - 1) = 4 posts (excluding the corner posts) along each width.

Therefore, in total there will be (6 + 6 + 4 + 4) = 20 fence post in the total fence. (Answer)

5 0
3 years ago
Is x a solution to 80&lt;-9x+8
saveliy_v [14]

Answers: x

1. Switch sides

-9x+8>80

2. Subtract by 8 from both sides of equation.

-9x+8-8>80-8

3. Simplify.

-9x>72

4. Multiply by -1 from both sides of equation. (it's should be the reverse inequality).

(-9x)(-1)

5. Simplify.

9x

6. Then you had to divide by 9 from both sides of equation.

\frac{9x}{9}< \frac{-72}{9}

7. Simplify.

\frac{9x}{9}=x

8. Divide by the numbers.

\frac{9}{9}=1

=x

\frac{-72}{9}=-8

9. Divide by the numbers.

\frac{72}{9}=8

=-8

x

____________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

________________________________________________________

3 0
3 years ago
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