Question

Question 13

Answer 1

Answer:

The c intercept is 42

The t intercepts are: 6, -1 and 7

Step-by-step explanation:

Given

$c(t) = (t - 6)(t +1)(t-7)$

Solving (a): The c intercept

Simply set t to 0

$c(t) = (t - 6)(t +1)(t-7)$

$c(0) = (0 - 6)(0 +1)(0-7)$

$c(0) = (- 6)(1)(-7)$

$c(0) = 42$

Solving (b): The t intercept

Simply set c(t) to 0

$c(t) = (t - 6)(t +1)(t-7)$

$(t - 6)(t +1)(t-7) = 0$

Split

$t - 6= 0,\ \ t +1= 0,\ \ t-7 = 0$

Solve for t

$t = 6,\ \ t =-1,\ \ t=7$