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Bad White [126]
3 years ago
8

Determine the greatest common factor of the given expressions.

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

75m^4 p^6

Step-by-step explanation:

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the rain caused the river to rise a total of 6 2/3 inches. the river was was rising a an average of 2/3 of an inch each hour. ho
Tasya [4]
2 1/2 you divide 6 2/3 by 2/3
8 0
3 years ago
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
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos
Kamila [148]

Answer:

3

Step-by-step explanation:

The fractions are: \frac{1}{5} and \frac{2}{3}. Let's take a look at the denominators: 5 and 3. The LCD of 5 and 3 is 15. 5x3=15, 3x5=15. So now we would multiply the denominators to make them the same number like this: \frac{5}{15} and \frac{10}{15}. Remember that if you multiply the denominator by a certain number, you must multiply the numerator by the same number as well. For example, in \frac{2}{3}, we multiply 3 by 5 and 2 by 5. Same number. Now with that out of the way, let's work on the equation: \frac{1}{5} + \frac{2}{3}. We know it is the same as \frac{5}{15} and \frac{10}{15}. So now all we do is add the numerators together: 5+10=15 or \frac{15}{15}. Now we have to reduce the fraction. \frac{15}{15} can be reduced to 3 by dividing 15 by 5=3. The final fraction is \frac{3}{3} or can be simply put as 3 since 3/3 is a whole number. That's it - you're done!

7 0
2 years ago
Question 3 of 10 What is the slope of the line shown below? C O A. 5 5 (3,7) B. 2 O D.-2​
scoundrel [369]

Slope = Y2-Y1/X2-X1 = 7-(-3)/3-(-2)= 10/5 = 2

8 0
3 years ago
Read 2 more answers
A question asked of one person that is answered by a single numbers is a statistical question true are false?
Elis [28]
True






I search it up on gooflr
5 0
3 years ago
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