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3 years ago

Please answer the question to the best of your ability.

Mathematics

1 answer:

nydimaria [60]3 years ago

7 0

Answer:

the answer is c.

Step-by-step explanation:

apply the rule of distributive property to check each of the options provided

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Find the side length of a square whose area is 121 ft^2

kogti [31]

Answer:

The side length is 11 ft

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

121 ft^2 = s^2

Take the square root of each side

sqrt( 121 ft^2) = sqrt(s^2)

11 ft = s

The side length is 11 ft

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3 years ago

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suppose that x and y vary inversely and x=1 when y=12. write a function that models the inverse variation. graph the function an

larisa [96]

Answer:

y=12/x

Step-by-step explanation:

if y=12, and x=1 so

general formula y=12/x

for x=5 , y=12/5=2.4

you can graph by ploting points such as (1,12), (5, 2.4),...

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2 years ago

How many fifths are there in 12 4/5?

xenn [34]

12 4/5 can be changed as 64/5 so there are 64 1/5ths

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3 years ago

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a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.

Radda [10]

Answer:

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

$x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}$

$x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}$

$x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}$

$x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};$

$x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005$

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

$(-714.005)^2+700(-714.005)-10000=-0.360$

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

$(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725$

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2 years ago

How do you simplify numeric and algebraic expressions that contain exponents?

schepotkina [342]

Simply simplify multiplication expressions with a positive exponent

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3 years ago

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