Mathematics, 03.02.2020 07:49, Alienchild239

An electronics store discovers that it can sell 5 televisions per day by pricing them at $150. when the televisions are on sale for $100 the store sells 10 of them every day. write a linear equation to compare the price of a television, p, to the number sold, x. then write a quadratic equation to compare the revenue, m, from selling televisions to the number sold, x.

Answers: 3

Show answers

Answers

answered: Elsalvador7310

p = -10x + 200

m = -10x^2 +200x

Step-by-step explanation:

We know that at a price of $ 150, 5 televisions are sold and at a price of $ 100, 10 televisions are sold.

We must write a linear equation for this situation.

The equation of the line will have the following form

p = mx + b

Where m is the slope of the line and b is the intercept with the p axis

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{100-150}{10-5}=-10$

$b=p_1-mx_1\\\\b=150-(-10)(5)\\\\b=200$

The equation is:

p = -10x + 200

Now we know that the revenue m is the product of the price p for the quantity sold x.

m = p * x

m=(-10x + 200)*x

m = -10x^2 +200x

answered: marieminnerly1628

p=-10x+200

m = -10x^2+200x

Step-by-step explanation:

Given : An electronics store discovers that it can sell 5 televisions per day by pricing them at $150. When the televisions are on sale for $100 the store sells 10 of them every day.

To Find: Write a linear equation to compare the price of a television, p, to the number sold, x. Then write a quadratic equation to compare the revenue, m, from selling televisions to the number sold, x.

Solution:

Let p be the price and x be the no. of television sold

We are given that it can sell 5 televisions per day by pricing them at $150. When the televisions are on sale for $100 the store sells 10 of them every day. i.e(5,150) and (10,100)

Now to find the linear equation to compare the price of a television, p, to the number sold, x.

We will use two point slope form

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

(x_1,y_1)=(5,150)

(x_2,y_2)=(10,100)

Substitute the values in the formula

$y-150=\frac{100-150}{10-5}(x-5)$

$y-150=\frac{-50}{5}(x-5)$

y-150=-10(x-5)

y-150=-10x+50

y=-10x+50+150

y=-10x+200

x is the no. of television sold

y is the price

Since p denotes the price

So, p=-10x+200

Thus a linear equation to compare the price of a television, p, to the number sold, x is p=-10x+200

Now $Revenue = Cost \times quantity$

Since price of x telivisons = p=-10x+200

So, $Revenue = (-10x+200) \times x$

Revenue = -10x^2+200x

m denotes revenue

So, m = -10x^2+200x

Thus a quadratic equation to compare the revenue, m, from selling televisions to the number sold, x. is m = -10x^2+200x

Hence a linear equation to compare the price of a television, p, to the number sold, x is p=-10x+200 and a quadratic equation to compare the revenue, m, from selling televisions to the number sold, x. is m = -10x^2+200x

answered: Guest

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1

answered: Guest

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

$\frac{ab}{bc} =\frac{ad}{ab}$

now, we can cross multiply

and we get

$ab\timesab=ad\times bc$

$ab^2=ad\times bc$

so, this could be step to prove it

Seth is using the figure shown below to prove pythagorean theorem using triangle similarity: in the

Other questions on the subject: Mathematics

Mathematics, 22.06.2019 02:00, jadajones5313

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.

Answers: 3

continue

Mathematics, 22.06.2019 03:00, milkshakegrande101

The formula for finding volume of a cone 1/3pi x r^2h. the volume of a cone is 300 cm^3 and the height of the cone is 10 what is the approximate radius of the cone

Answers: 1

continue

Mathematics, 22.06.2019 04:00, SmallPepsiCan7260

Which of the following segments is a diameter of o?

Answers: 1

continue

Mathematics, 22.06.2019 05:30, Elepeodowke

What can you measure with a meter stick?

Answers: 1

continue

Do you know the correct answer?

An electronics store discovers that it can sell 5 televisions per day by pricing them at $150. when...