The larger of two numbers exceeds twice the smaller by one. three times the smaller exceeds the larger by six. if y is the larger number, which of the following systems of equations represents the word problem? y = 2x + 1 and 3x + 6 = y y = 2x + 1 and y + 6 = 3x y = 2(x + 1) and y + 6 = 3x

Step-by-step explanation:

larger number = y

smaller number=x

y>2x+1

y<3x+6

Probably the first one, if I did this right.

To do this problem, you need to know how to read math, literally. The problem says that y is the larger number, so assume the smaller is x. So, y exceeds 2x by 1 (so, y>2x+1). then, it says 3x exceeds y by 6; therefore, 3x+6>y. I may have interpreted it wrong, though, so tell me if I made a mistake :))

first one

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (: