Dave drives to work each morning at about the same time. his commute time is normally distributed with a mean of 45 minutes and

Answer:

To find the number of genuine solutions for a system of equations consisting of a linear equation and a quadratic equation

1) With two variables, say x and y, rearrange the linear equation to express y, then substitute this y in the quadratic equation

After that, simplify the resulting equation and determine the number of real roots utilizing the quadratic formula, for equations of the type 0 = a·x² - b·x + c.

When b² exceeds 4·a·c, two real solutions emerge; if b² equals 4·a·c, there will be a single solution.

Step-by-step explanation:

Response:

The goat population will reach 1000 in a time span of 12.4 years

Detailed explanation:

After t years, the population of goats is described by

where indicates the initial count of goats and b is the growth rate per capita.

Based on the problem,

• 
• b = 0.5
• N = 1000