(-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
D(250/300)=90
d=108mi
.................
Answer: 13
Step-by-step explanation:
Let the number that in thinking of be represented by x.
I multiply by 11 and add 22 will give the same answer as multiplying by 4 and adding 113. This.csn be firmed into an equation as:
(11 × x) + 22 = (4 × x) + 113
11x + 22 = 4x + 113
Collect like terms
11x - 4x = 113 - 22
7x = 91
x = 91/7
x = 13.
The number is 13
Answer:
(18p + 18)
Explanation:
the perimeter of the shape is the sum of all its sides. we are given the individual lengths of all the sides except for the horizontal one at the bottom and the vertical one between (2p + 5) and (3p + 4), but they can easily be calculated using the other values.
the horizontal length at the bottom is the sum of (2p + 5) and (3p + 4), or (5p + 9).
the vertical length is the difference between 4p and 2p, which is 2p.
now, we can add all of these values together:
4p + (2p + 5) + 2p + (3p + 4) + 2p + (5p + 9)
= 4p + 2p + 2p + 3p + 2p + 5p + 5 + 4 + 9
= <u>18p + 18</u>
i hope this helps! :D
