Okay, lets do it![15+102*[12-(12-3*2)]+6\\ 15+102*[12-6]+6\\ 12+102*6+6\\ 15+612+6\\ =633](https://tex.z-dn.net/?f=15%2B102%2A%5B12-%2812-3%2A2%29%5D%2B6%5C%5C%0A15%2B102%2A%5B12-6%5D%2B6%5C%5C%0A12%2B102%2A6%2B6%5C%5C%0A15%2B612%2B6%5C%5C%0A%3D633)
What is the solution to Y=-2x²+4x+8 Y=-4x+16
1 answer:
Hi there!
Solve by setting the two equations equal to each other:
-2x² + 4x + 8 = -4x + 16
Move all terms to one side:
-2x² + 4x + 4x + 8 - 16 = 0
Simplify:
-2x² + 8x - 8 = 0
Factor out a negative 2 from each term:
-2(x² - 4x + 4) = 0
Factor:
-2(x - 2)² = 0
Set the factor equal to 0 to solve:
(x - 2)² = 0
x - 2 = 0
x = 2
Substitute this value of x into an equation to find the shared y value:
y = -4(2) + 16 = 8
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Answer:
y ≤ 3x - 2 and 4x + y ≥2
Step-by-step explanation:
We can easily solve this problem by using a plotting tool or any graphing calculator.
We test each case, until we arrive to the correct option
Case 1
y ≤ 3x - 2 and 4x + y ≥2
Correct Option.
Please see attached image for graph
