<u>Answer</u>
≈ 11.1803398874989485
<u>Detailed Explanation </u>
We will be using the distance formula for this problem

Now, let's input the numbers into the formula.

Solve.
Therefore, the distance between the two points is
≈ 11.1803398874989485
Independent: number of hours worked
Dependent: income earned
Domain: between 0 and 40 hours
Range: between 0 and 480$
Answer:
a- x = 5/3, or x = -7/2
b- 675
c - 5·x + 2
Step-by-step explanation:
The polynomial representing the capital of the two partners = 6·x² + 11·x - 35
a. The total share is the capital of the two partners together = 6·x² + 11·x - 35
∴ When their total share is equal to 0, we have;
6·x² + 11·x - 35 = 0
Factorizing the above equation with a graphing calculator gives;
(3·x - 5)·(2·x + 7)
Therefore;
x = 5/3, or x = -7/2
b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;
When x = 10
6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675
The total expenditure of Vicky and Micky when x = 10 is 675
c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2
Answer: h(-9)=4*(-9)-2=-36-2=-38
-38 is ur answer