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3 years ago

After multiplying,we have a(b plus c)

Mathematics

1 answer:

elixir [45]3 years ago

7 0

Answer:

The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.

Step-by-step explanation:

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Zia has a slab of concrete in the shape of a parallelogram.

Aleksandr [31]

Answer:

270 in²

Step-by-step explanation:

The area of a parallelogram is given by the formula A = bh.

The base of the parallelogram is 9+9 = 18 inches.

The height of the parallelogram is 15 inches.

This makes the area 15(18) = 270 in²

7 0

3 years ago

Read 2 more answers

At a hockey game, a vendor sold a combined total of 148 sodas and hot dogs. The number of sodas sold was three times the number

AleksandrR [38]

Answer:

37 hot dogs and 111 sodas

Step-by-step explanation:

148 divided by 4= 37

148 - 37= 111

if the number of sodas was three times it would have to be broken up into three groups making the hot dogs 37 and sodas three times the amout would be 111. hope this helped sorry for any spelling mistakes

3 0

3 years ago

Read 2 more answers

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.

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3 years ago

What is the area of a rectangular parcel of land that is 7/8 mile by 11/2miles

Sati [7]

8763 square miles hope this helped

4 0

3 years ago

Does the data suggest a linear, quadratic, or exponential model?

oksano4ka [1.4K]

Exponential model because it's increasing rapidly.

4 0

3 years ago

After multiplying,we have a(b plus c)​

After multiplying,we have a(b plus c)