The vertex is when x=-b/2a, which is also the line of symmetry.
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4
another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4
Either way,
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4
Answer:
Step-by-step explanation:
5.a) Steve - 60=5×12
= <u>5×3×2×2</u>
5.b) Ian - 60=6×10
= <u>3×2×5×2.</u>
<u>Discussion</u> - The prime factors reduce to the same numbers in both Steve's and Ian's case.
5.c) Case 1 of 48 = 6×8
= <u>3×2×2×2×2.</u>
Case 2 of 48 = 12×4
= <u>2×2×3×2×2.</u>
Answer:
water nugget
Step-by-step explanation:
according to my neurological evaluation of the current situation(s), it appears we are friends, therefore, I feel obliged to request that bring un-forth a specific set of 'roles' to my person. By which I mean, it appears having created any sort of emotional connection with you seems to reward such 'roles' as such I request that you immediately bring fourth said 'roles'Either way though there was a Neurological Enzymetive Paralastic imbalance between the code of conductional adminstrative classificationsNot funny I didn't laugh. Your joke is so bad I would have preferred the joke went over my head and you gave up re-telling me the joke. To be honest this is a horrid attempt at trying to get a laugh out of me. Not a chuckle, not a hehe, not even a subtle burst of air out of my esophagus. Science says before you laugh your brain preps your face muscles but I didn't even feel the slightest twitch. 0/10 this joke is so bad I cannot believe anyone legally allowed you to be creative at all. The amount of brain power you must have put into that joke has the potential to power every house on Earth. Get a personality and learn how to make jokes, read a book. I'm not saying this to be funny I genuinely mean it on how this is just bottom barrel embarrassment at comedy. You've single handedly killed humor and every comedic act on the planet. I'm so disappointed that society has failed as a whole in being able to teach you how to be funny. Honestly if I put in all my power and time to try and make
The equation of the vertical line that satisfies the condition is x=0.
