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3 years ago

What’s the correct answer to 6

Mathematics

2 answers:

scoundrel [369]3 years ago

5 0

A sum of three terms is correct. Sum = addition, product = multiplication. B. is correct.

Brainliest please?

Andreyy893 years ago

5 0

Hi there! The answer is B.

In the question 2x + 5y + y we add up 3 different terms (and a sum is addition), and therefore it is a sum of 3 terms.

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You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

bonufazy [111]

Answer:

a) The demand function is

$q(p) = -4 p + 107$

b) The nightly revenue is

$R(p) = -4 p^2 + 107 p$

c) The profit function is

$P(p) = -4 p^2 + 133.75 p - 939$

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

$s = \frac{79-43}{7-16} = \frac{36}{-9} = -4$

Since the demand takes the value 79 in 7, then

$q(p) = -4 (p-7) + 79 = -4 p + 107$

b) The nightly revenue can be found by multiplying q by p

$R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p$

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

$P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939$

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

$r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41$

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

7 0

3 years ago

There is 1in. of water in a pool. The water level is increasing at 0.75in./min. Which linear equation represents the total depth

mixas84 [53]

Answer:

b i believe

Step-by-step explanation:

because you would multiply the speed over time the add what you started with

8 0

4 years ago

Read 2 more answers

How far does the unicycle move if the wheel turns once?

algol [13]

The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m

<h3>Circumference of a circle</h3>

The formula for calculating the circumference of a circle is given as:

C = 2pi r

r is the radius of the circle

a) r = 80/2 = 40cm

C = 2(3.14)(40)
C = 251.20 cm

Hence the unicycle moves a distance of 251.20cm if the wheel turn once

b) Number of revolution * 2pi r = distance covered

n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314

n =32

Hence the wheel must rotate 32 times to cover a distance of 100m

Learn more on circumference here: brainly.com/question/23986334

#SPJ1

8 0

3 years ago

Evaluate 2(N + 3) if n = 5 show your work

algol [13]

ANSWER:

N = 16

STEP BY STEP EXPLANATION:

2(5+3)

n=16

6 0

3 years ago

What two numbers have a product of -25 and a sum of 24?

NemiM [27]

-1 and 25

have a good day!

7 0

3 years ago