Answer:
Step-by-step explanation:
<h3>Part A</h3>
<u>Solve the equation:</u>
- 6x² + 48x + 120 = 0
- x² + 8x + 20 = 0
- x² + 8x + 16 + 4 = 0
- (x + 4)² + 4 = 0
- (x + 4)² = - 4
The left side is positive and right side is negative so no solution
<h3>Part B</h3>
There is no intercession with the x-axis, the graph of the function is entirely above the x-axis.
It means the diver won't reach the bottom of the lake
The simplified form of the equation is
.
<h2>
Given that</h2>
Equation; 
<h3>
We have to determine</h3>
The simplified form of the equation;
<h3>According to the question</h3>
To determine the simplified form of the equation following all the steps given below.
Equation; 
<h3>
To simplify the equation multiple the terms and solve.</h3>
Then,
The simplified form of the equation is,

Hence, The simplified form of the equation is
.
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Answer:
5
Step-by-step explanation:
rate of change = slope = 5
m = (y2-y1)/(x2-x1)
m = (6-4)/(4-0)
m = 2/4
y = mx + c
6 = (2/4)(4) + c
c = 4
Thus, the equation is y = (2/4)x +4