Julian needs to spend at least seven hours each week practicing the drums. he has already practiced five and one third hours this week. he wants to split the remaining practice time evenly between the last two days of the week. write an inequality to determine the minimum number of hours he needs to practice on each of the two days.
five and one third + 2x ≤ 7
five and one thirdx + 2 ≤ 7
five and one thirdx + 2 ≥ 7
five and one third + 2x ≥ 7

five and one third + 2x ≥ 7

Step-by-step explanation:

Let

x -----> the minimum number of hours he needs to practice on each of the two days

we know that

Julian needs to spend at least seven hours each week practicing the drums

so

Convert mixed number to an improper fraction

substitute

Subtract 16/3 both sides

Divide by 2 both sides

therefore

The minimum number of hours he needs to practice on each of the two days is

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

answer is 67%

step-by-step explanation: