Answer: isn’t it like you add the 35 to a point
Step-by-step explanation:
We can factor by grouping like so
3v^2 + 16v + 5
3v^2 + 15v + v + 5
3v(v + 5) + 1(v + 5)
(3v+1)(v+5)
---------
Check:
(3v+1)(v+5)
w(v+5) ... let w = 3v+1
vw + 5w
v(w) + 5(w)
v(3v+1) + 5(3v+1) .... plug in w = 3v+1
3v^2+v + 15v + 5
3v^2 + 16v + 5
We get the original expression again, which confirms the answer.
1/3(24p-66) = 3p + 43= 1/3*24p-1/3*66=3p + 43= 8p-22=3p + 43=8p - 3p=43+22=5p=65=p=65/5=13 hope this helped!
(-2, 5) Minimum
Step-by-step explanation:
y-5=(1/3)(x + 2)²
y-5=(1/3)(x²+4x+4))
y-5=1/3x²+4/3x+4/3
y=1/3x²+4/3x+4/3+5
y=1/3x²+4/3x+4/3+15/3
y=1/3x²+4/3x+19/3
graph is attached
x= -b/2a
x= (-4/3)/2(1/3)
x= (-4/3)/(2/3)
x= (-4/3)*(3/2)
3's cancel
x= (-4/1)*(1/2)
x = -4/2
x = -2
plug -2 back into
y=1/3x²+4/3x+19/3
y=1/3*4+4/3*-2+19/3
y=4/3-8/3+19/3
y=15/3
y=5
(-2,5)
if a is positive
graph looks like a smile
so minimum
if a is negative
graph looks like a frown
so maximum
quadraticswbi.weebly.com