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2 years ago

Given that a^b = x, evaluate the following: 2a^3b+a^2b+a^b

Mathematics

1 answer:

Luda [366]2 years ago

8 0

Answer:

2*x^3 + x^2 + x

Step-by-step explanation:

a^b = x

Then,

a^(2b) = a^b*a^b = x* x = x^2

a^(3b) = a^b*a^b*a^b = x*x*x = x^3

2*(a^3b) + (a^2b) + (a^b)

= 2*(x^3) + (x^2) + (x)

= 2*x^3 + x^2 + x

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The combined perimeter of the rectangle and triangle is 63 inches. The model shows the dimensions of the rectangle. What is the

katrin2010 [14]

*See diagram in the attachment

Answer:

27 inches

Step-by-step explanation:

Combined perimeter = perimeter of rectangle + perimeter of triangle = 63 inches

Perimeter of rectangle = 2(L + W)

L = 11 in.

W = 7 in.

Perimeter of rectangle = 2(11 + 7) = 36 in.

Let perimeter of the triangle be represented by x

Therefore:

36 + x = 63

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2 years ago

Sarah jogged 4.8 miles each day for 22 days last month. How many miles did Sarah jog in total?

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Answer:

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hope this helps

have a good day :)

Step-by-step explanation:

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2 years ago

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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1 year ago

How do I find the answer for 1/2 of 3/5

Tems11 [23]

The answer is 0.3. To find this answer, <span>1/2 / 3/5 = <span>56</span> ≅ 0.8333333</span>

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3 years ago

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3 years ago

Given that a­­^b = x, evaluate the following: 2a^3b+a^2b+a^b

Given that a^b = x, evaluate the following: 2a^3b+a^2b+a^b