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3 years ago

Which points have an x-value less than zero?

Mathematics

1 answer:

Zanzabum3 years ago

8 0

Answer:

C, D, J

Step-by-step explanation:

Points to the left of the y-axis have a negative x- value

Points to the right of the y-axis have a positive x- value

Points on the y-axis have an x- value of zero

C(- 4, 5), D(- 9, 9 ), J(- 9, 0) ← are the coordinates of the points

All have a negative x- value

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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

What does A equal?<br><br>•1<br>•4<br>•58

IRINA_888 [86]

Answer:

a=4

Step-by-step explanation:

if a+5=2a+1

then 5-1 = 2a-a

so 4 = a

4 0

3 years ago

Given the inequality of x < 5, select all the

diamong [38]

Nxnxnxbbxnxndnnsnsn nsnsnsndnnsndnndndnsndnndndnndnd

7 0

3 years ago

Choose a method . Then find the product 10x15

34kurt

Answer:

150

Step-by-step explanation:

15*10

Lets get rid of the 0 for now

15*1

That is 15 added to itself 0 times so it is 15

Now lets put the 0 back

and we will get

150

5 0

3 years ago

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Two is subtracted from a number, and then the difference is multiplied by 5. The result is 30

Vanyuwa [196]

Answer:

Step-by-step explanation:

8-2=6

6x5=30

6 0

3 years ago

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