Answer: 4
Step-by-step explanation:
It crosses on the y axis at the point (0,4)
You would divide 100$ by 7 and get your answer remember to round your decimals.
Step 1: Write out the equation
Step 2: Rewrite the equation
Step 3: Plot the graph of y = x² + 7x + 6
Step 4: Find the solution of the equation x² + 7x + 6 = 0
The solutions of x² + 7x + 6 = 0 are the x-coordinates of the points where the curve y = x² + 7x + 6 cuts the x-axis.
From the graph, we can see that the points are (-6, 0) and (-1, 0)
Hence, the solutions are -6, -1
The number of hours spent lifeguarding and clearing tables is 5.4 hours and 8.6 hours respectively
<h3>Solving inequality equation</h3>
- x = number of hours lifeguarding
- y = number of hours clearing tables
x + y ≤ 14 (1)
19x + 9y ≤ 180 (2)
From (1)
x = 14 - y
substitute into (2)
19x + 9y ≤ 180
19(14 - y) + 9y ≤ 180
266 - 19y + 9y ≤ 180
- 19y + 9y ≤ 180 - 266
- 10y ≤ -86
y ≤ -86 / -10
y ≤ 8.6 hours
x + y ≤ 14
x + 8.6 ≤ 14
x ≤ 14 - 8.6
x ≤ 5.4 hours
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