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3 years ago

8

The GCF of the numbers in the expression (55 + 44) is . The numbers left inside the parentheses after factoring out the GCF are

and .

1 answer:

jolli1 [7]3 years ago

7 0

Let see what can go into each (1,5,11,55 then the next one is (1,2,4,11,22,44) do see the GCF now

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Jordan will hike the trail shown at a rate of 4 mi/h. Write a linear equation to represent the distance Jordan still has to wal

dangina [55]

Answer:

Y=25-4x

Y means the distance Jordan still has to walk after x hour

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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

10.4 sweets cost 28p altogether,<br> how much much do 7 sweets cost

Serjik [45]

28/10.4=2.69
2.69*7=18.83

7 0

3 years ago

Read 2 more answers

Determine the volume of the shaded area.

vovikov84 [41]

The shaded area in the image is 86.1 square inches.

<h3>How to get the shaded area?</h3>

Remember that for a circle of diameter D, the area is given by:

A = pi*(D/2)²

Where pi = 3.14, and here we have half-circles, so we need to add a factor 0.5

The area of the shaded figure, the area of the shaded figure will be the area of the half circle with diameter of 17in minus the area of the half circle with a diameter of 8.5 in, so the area is:

area = 0.5*3.14*(17in/2)² - 0.5*3.14*(8.5in/2)² = 86.1 in²

Learn more about area:

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1 year ago

Katie's car averages 35 miles per hour. She has marked her

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Answer: 175, 210, 245

Step-by-step explanation:

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3 years ago