When temperature is zero degree celsius, the fahrenheit temperature is 32. when the celsius temperature is 100, the corresponding fahrenheit temperature is 212. express the fahrenheit temperature as a linear function of c, the celsius temperature, f(c).

or

or equivalently:

or

Step-by-step explanation:

To express the Fahrenheit temperature as a linear function of the Celsius temperature, F(c), we can proceed as follows.

We can use here the two-point form equation of a line:

[1]

We are asked to express the Fahrenheit temperature as a function of Celsius temperature, so the independent variable, in this case, is x (Celsius temperature) and the dependent variable is y (Fahrenheit temperature).

When temperature is zero degree Celsius (), the Fahrenheit temperature is 32 ().

When the Celsius temperature is 100 (), the corresponding Fahrenheit temperature is 212 ().

Then, using [1], we have:

.

It could be also be written as:

= , as it commonly appears in books.

Then the Fahrenheit temperature express as a linear function of the Celsius temperature, F(c) is ( solving the equation for y ) :

or .

Or equivalently:

or

We can check this using the given values from the question:

For 0 Celsius degrees, the Fahrenheit temperature is:

= 32 Fahrenheit degrees.

For 100 Celsius degrees, the Fahrenheit temperature is:

= 212 Fahrenheit degrees.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )