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Mathematics

1 answer:

hoa [83]3 years ago

5 0

Let $T,S$ be the number of days spent at Tahoe and San Francisco, respectively.

We don't know the values of $T$ and $S$ yet, but we know that the holiday lasted 9 days:

$T+S=9$

We also know that each day spent in Tahoe costed 350 and each day spent in San Francisco costed 475. So, the total cost of the holiday is the sum of the number of days muliplied by their cost:

$350T+475S=3650$

If we put the two equations together, we have the system

$\begin{cases}T+S=9\\350T+475S=3650\end{cases}$

Which yields

$S=4,\quad T=5$

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Function a(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e 6h. what

hram777 [196]

48 square inches per inch is the average rate of change in surface area.

What is an area in math?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

The surface area of a cube of side length e is:

A(e) = 6 *e².

The rate of change is:

A'(e) = 2 * 6 * e

The average rate of change between 3 in and 5 in is:

r = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in

Now, the options are given in:

"squere inches per inch"

This is written as:

in^2/in = in.

Then we can write our above rate as:

r = 48in = 48in^2/in = 48 square inches per inch.