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3 years ago

7. Which set of ordered pairs represents a function?

Mathematics

1 answer:

Likurg_2 [28]3 years ago

5 0

Answer:

Step-by-step explanation:

to be a function, every x has to have exactly one y, so there can't be the same number x twice wirh different y's

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3 years ago

Evaluate a−b+3c when .a=4, b=−2, and c=3. a−b+3c =4−( )+3∙ =4+ + =

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

A culture of bacteria has an initial population of 640 bacteria and doubles every 2 hours. Using the formula P_t = P_0\cdot 2^{\

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3 years ago

The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re

ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

$L=W+3$

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

$\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}$

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

$\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}$

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

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1 year ago