Algebra 1, semester 2 what is the average rate of change of the function over the interval x = 0 to x = 8? f(x)=2x+3/3x−3 enter your answer, as a fraction

Replace X with 0 and solve the equation, then replace x with 8 and solve the equation again.

Then find the difference between the 2 answers and divide that by the difference in the 2 X values.:

f(0) = 2(0) + 33(0) -3 = -3

f(8) = 2(8) +33(8) - 3 = 16 + 264 - 3 = 280-3 = 277

Difference: 277 - (-3) = 277+3 = 280

Difference between the X values 8 - 0 = 8

Average rate of change: 280 / 8 = 35

it would take 7/10 of an hour too fill the pool.

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).