F(x) = (2x-1)(3x-5)(x-4)(3x+6) has zero at x=-2, x=1/2, x=5/3, and x=4. What is the sign of f on the interval 1/2 < x > 5/3?

The sign of f in the interval is positive.

Step-by-step explanation:

1/2 < x > 5/3 is definitely wrong, because 1/2 is not greater than 5/3. The correct thing should be 1/2 < x < 5/3.

In order to know the sign of f on the interval 1/2 < x < 5/3 we choose a comfortable number in the interval and test in all the factors of f, then multiply the resulting signs from the factors.

The factors of f are:

2x – 1, 3x – 5, x – 4, 3x + 6. A comfortable number in the interval is 1. So let's test 1

2x – 1 = 2(1) – 1 = 2 – 1 = 1 is +ve

3x – 5 = 3(1) – 5 = 3 – 5 = –2 is -ve

x – 4 = 1 – 4 = –3 is -ve

3x + 6 = 3(1) + 6 = 3 + 6 = 9 is +ve. Now multiply the signs:

(+ve)(-ve)(-ve)(+ve) = +ve.

Therefore the sign of f in the interval is positive.

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation: