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3 years ago

For the function defined by I = 50/t, what can you say about the relationship between the variables I and t?

Mathematics

1 answer:

sveticcg [70]3 years ago

8 0

Answer:

Inverse proportionality relationship

Step-by-step explanation:

SInce I equals 50 divided by t, we see "t in the denominator, which corresponds to an INVERSE proportionality between these variables (I and t)

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Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost fu

gavmur [86]

Answer:

The profit function is:

$P(x)=-x^2+1280x-3300$

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

$R(x)=1300x-x^2$

And the cost function is:

$C(x)=3300+20x$

Then the total profit function will be:

$P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300$

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

$\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)$

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

$\displaystyle x=-\frac{1280}{2(-1)}=640$

And the maximum profit will be:

$P(640)=-(640)^2+1280(640)-3300=406300$

5 0

3 years ago

Read 2 more answers

Which congruence statement says the same thing as ABC=DEF

Oliga [24]

Answer is <span>c.) ACB=DFE

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------------------------------------</span>

4 0

2 years ago

_______ is 100 times as much as 90

jek_recluse [69]

90*100=9000

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3 years ago

Does -8 have a greater absolute value than 6

r-ruslan [8.4K]

Answer:

yes.

Step-by-step explanation:

because -8 absolute value is 8

7 0

2 years ago

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Use the fact that 2 1/2 divide 1/8 =20 to find 2 1/2 divide 5/8

Tasya [4]

Answer:

Step-by-step explanation:

Given that $2\frac 1 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \times 8 1 =20 \cdots(i)$

Now, $2\frac 1 2 \div \frac 5 8$ $= \frac 5 2 \div \frac 5 8$ $=\frac 5 2 \times \frac 8 5$

This can be written as

$\frac 5 2 \times \frac 8 5=\frac 5 2 \times \left( \frac 8 1 \times \frac 1 5\right)$ [as $\frac 8 5=\frac 8 1 \times \frac 1 5$ ]

$=\left(\frac 5 2 \times \frac 8 1 \right)\times \frac 1 5$

$=20 \times \frac 1 5$ [ by using equation (i)]

Hence, $2\frac 1 2 \div \frac 5 8=4$

7 0

2 years ago