Answer:
3(x - 3)(x + 2)
Step-by-step explanation:
take out a common factor of 3 from each term
= 3(x² - x - 6)
to factor the quadratic consider the factors of - 6 which sum to - 1
These are - 3 and + 2, hence
3x² - 3x - 18 = 3(x - 3)(x + 2) ← in factored form
Answer:
vertex is at (0,0)
Step-by-step explanation:
Find the vertex of the parabola y = 8x2.
I assume you meant y = 8* x^2
this can be compared to the general vertex form y = a (x - h)^2 + k
where vertex at (h, k)
so then...
h =0 and k = 0 here
vertex is at (0,0)
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
Answer:3.54
Step-by-step explanation:
Speed = Distance ÷ Time
Distance = 2797.2
Time = 0.15
2797.2 / 0.15 = 18,648
Speed = 18,648