Answer:
10 its simple
Step-by-step explanation:
Answer: 4.15 units
Explanation:
1) You must find the solution to this system:
y = -0.3x² + 3x
-2x + 5.5y = 19.5
2) replace y from the first equation into the second equation:
-2x + 5.5 [-0.3x² + 3x] = 19.5
3) use distributive property: -2x - 1.65x² + 16.5x = 19.5
4) combine like terms: - 1.65x² + 14.5x = 19.5
5) transpose terms: 1.65x² - 14.5x + 19.5 = 0
6) use quadratic formula to find the solution:
x ≈ 1.66 and x ≈ 7.13.
To find which is the lower point, you replace the two values and find which has smaller y value:
y = -0.3x² + 3x
x = 1.66 ⇒ y = -0.3(1.66)² + 3(1.66) = 4.15
x = 7.13 ⇒ y = -0.3(7.13)² + 3(7.13) = 6.14
Therefore, the answer is y = 4.15.
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