Joshua swims 25 meters in 1 minute. draw a graph of meters swam versus time. find the value of the slope and interpret it in words

Given,

The number of meters covered by Joshua in 1 minute = 25 meters,

So, the number of meters covered by him/her in x minutes, ( say y ) = 25x minutes,

⇒ y = 25x,

Which is the equation of line passes through origin,

If x = 1, y = 25,

If x = 2, y = 50,

So, by joining the points (1, 25) and (2,50) we will get the graph,

∵ Slope of a line y = mx + c is m,

By comparing,

The slope of the above line is 25 that shows the rate of change in meters per minute.

Note : x ≥ 0, because number of minutes can not be negative.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.