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grigory [225]
4 years ago
7

Find the average rate of change for the function over the given interval f(x)=x^2+5x between x=4 and x=6

Mathematics
1 answer:
larisa [96]4 years ago
4 0
This is   6^2 + 5(6) - (4^2 + 5(4))         (66 - 36) / 2   =15 answer
            ------------------------------  =   
                        6 - 4
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Simplify square root of five times the quantity eight plus three square root of six.
aev [14]

Answer:

8\sqrt{5}+3\sqrt{30}

Step-by-step explanation:

we have the expression

\sqrt{5}(8+3\sqrt{6})

Apply the distributive property

8\sqrt{5}+3(\sqrt{5})(\sqrt{6})

8\sqrt{5}+3\sqrt{30}

therefore

eight square root of five end root plus three square root of thirty

8 0
3 years ago
Write the polynomial which represents the perimeter of a triangle whose sides are represented
denis-greek [22]

Answer:

The polynomial is 10x^2 + 10x -2

Step-by-step explanation:

To get the polynomial which represents the perimeter, what we need to do is to add up all

these values. We use the formula for finding the perimeter of a triangle and that involves adding up all the three sides. That would be;

2x^2 + 3x + 5x^2 -1 + 3x^2 + 7x -1

10x^2 + 3x -1 + 7x -1

10x^2 + 10x -2

4 0
3 years ago
Need a quick answer please
Olenka [21]

Step-by-step explanation:

2x + 5 = I / 2 ×16

2x=3

x=3/2

7 0
3 years ago
An education association wants to rent a cotton candy machine for a carnival. There is a deposit to rent it plus an additional $
Vanyuwa [196]

Answer:

  • rate of change: $8 per hour; the per-hour rental charge
  • initial value: $75; the deposit on the machine

Step-by-step explanation:

The cost to rent the machine is given as ...

  total cost = deposit + ($8 /hour)×(number of hours)

The cost for 5 hours is given ans $115, so we have ...

  115 = deposit + 8(5)

  75 = deposit . . . . . . . . subtract 40

__

The "rate of change" is given as $8 per hour, the hourly rental charge.

The "initial value" is called <em>the deposit</em>. It is found to be $75.

8 0
2 years ago
Simplify the following expression please solve correctly<br> −12^12 ^2 / 3^ 5 ^5
nikdorinn [45]

The simplified expression is -\frac{48}{x^{3} y^{3}}

Explanation:

The given expression is \frac{-12x^{2}12y^{2}  }{3x^{5} y^{5} }

Let us simplify the expression.

Multiplying the numbers in the numerator, we have,

\frac{-144 x^{2} y^{2}}{3 x^{5} y^{5}}

Dividing the term 144 by 3, which results in 48.

Thus, we have,

\frac{-48 x^{2} y^{2}}{x^{5} y^{5}}

Applying the fraction rule \frac{-a}{b}=-\frac{a}{b} , we get,

-\frac{48 x^{2} y^{2}}{x^{5} y^{5}}

Applying the exponent rule \frac{x^{a}}{x^{b}}=\frac{1}{x^{b-a}}, we have,

-\frac{48}{x^{3} y^{3}}

Thus, the simplified expression is -\frac{48}{x^{3} y^{3}}

7 0
3 years ago
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