So you have 328 lemons at first right?
And you gave 246 to your neighbor right?
That means you have to takeaway 246 from 328 right?
So 328-246 is 82 ok?
So you have 82 lemons left
Answer:
vertex is (-1,-1)
Step-by-step explanation:
2 ways
1. get into vertex form y=a(x-h)^2+k
2. use math hacks
1.
vertex is (h,k) in y=a(x-h)^2+k
complete square
y=(2x^2+4x)+1
y=2(x^2+2x)+1
y=2(x^2+2x+1-1)+1
y=2((x+1)^2-1)+1
y=2(x+1)^2-2+1
y=2(x+1)^2-1
y=2(x-(-1))^2+(-1)
vertex is (-1,-1)
2.hack way
in form y=ax^2+bx+c
x value of vvertex is -b/2a
given
y=2x^2+4x+1
b=4, a=2
xvaluevertex=-4/(2*2)
xvaluevertex=-4/4=-1
sub back to find y value
y=2(-1)^2+4(-1)+1
y=2(1)-4+1
y=2-4+1
y=-1
y value is -1
Answer:
D. X= ± square root of 8 - 2
Step-by-step explanation:
Given quadratic equation is \[x^{2}+4x=4\]
Rearranging the terms: \[x^{2}+4x-4=0\]
This is the standard format of quadratic equation of the form \[ax^{2}+bx+c=0\]
Here, a=1 , b=4 and c=-4.
Roots of the quadratic equation are given by \[\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}\]
Substituting the values and calculating the roots:
\[\frac{-4 \pm \sqrt{(-4)^{2}-4*1*(-4))}}{2*1}\]
= \[\frac{-4 \pm \sqrt{32}}{2}\]
= \[\frac{-2*2 \pm 2*\sqrt{8}}{2}\]
= \[-2 \pm \sqrt{8}\]
Hence option D is the correct option.
She should get 84 in her fifth test to have an average of 80
(75 + 81 + 77 + 83 + x)/5 = 80
(316 + x)/5 = 80
[(316 + x)/5] (5) = 80(5)
316 - 316 + x = 400
316 + x = 400 - 316
x = 84
