Before Cole walks his dog, his activity tracker shows he has already walked 3.8 miles. He and his dog walk 2.6 miles per hour. Write a linear equation in slope-intercept form for the number of miles, y, after x hours of walking. Find the number of miles on Cole's activity tracker after 1/2 hour of walking.

a)

b) 5.1 miles

Step-by-step explanation:

Given

Required

Determine the linear equation

Represent distance with y

Represent time with x

Distance can be determined using:

This gives:

b) Solve for y when x = 1/2

To do this, we simply substitute 1/2 for x in

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.

yes

step-by-step explanation:

yes