Show that y = 11x + 5 is a tangent to the curve
y = 3x² + 5x + 8

There is only 1 solution for x.

Step-by-step explanation:

Hi there!

This is a linear-quadratic system. If the line is tangent to the parabola, it means that it would only have 1 solution.

Set y equal:

Move everything to the left side:

Divide both sides by 3:

Factor:

Solve for x:

Therefore, the only solution for x when y is set equal for both functions is 1. There is only 1 solution for x, so is tangent to the curve .

I hope this helps!

where are the choices?

boxplot e is the answer