exam Maths Puzzle Numerical Ability

I'm stuck, I have to identify the vertex and x-intercepts of y=-x^2-5x-6

I am assuming the x^2 means x sq?

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exam Other Question

Directions: solve quadratci expression by factoring. I do not see how it could be factored.

12x^2 + 17x - 5= 0
Solve by addition method. Indicate whether independent, inconsistent or dependent.

x + 3(y - 1) = 11
2 (x - y) +8y = 28