Use formula y = mx+ b Y is your point y in the pair: 7
M is slope : 6
X is your x in the pairs : -3
7 = 6 (-3) + b
7 = -18 + b
7+ 18 = b 25= b
So , it will be Y= 6x + 25
Y is bmi
x is amount of antioxidant in cups
so when x=0 that is when 0 cups of antioxydants are consumed, that is y intercept, that means a person who consumes 0 cups starts at 26 bmi
slope is the amount that the bmi decreases for every cup of antioxydants consumed
The fourth term of (a+b)^5 is 10a^2b^3.
For a=w, b=-4z, this is
.. 10*(w)^2*(-4z)^3
.. = -640w^2*z^3
Vertex form is y=a(x-h)^2+k, so we can rearrange to that form...
y=3x^2-6x+2 subtract 2 from both sides
y-2=3x^2-6x divide both sides by 3
(y-2)/3=x^2-2x, halve the linear coefficient, square it, add it to both sides...in this case: (-2/2)^2=1 so
(y-2)/3+1=x^2-2x+1 now the right side is a perfect square
(y-2+3)/3=(x-1)^2
(y+1)/3=(x-1)^2 multiply both sides by 3
y+1=3(x-1)^2 subtract 1 from both sides
y=3(x-1)^2-1 so the vertex is:
(1, -1)
...
Now if you'd like you can commit to memory the vertex point for any parabola so you don't have to do the calculations like what we did above. The vertex of any quadratic (parabola), ax^2+bx+c is:
x= -b/(2a), y= (4ac-b^2)/(4a)
Then you will always be able to do a quick calculation of the vertex :)
Answer:
$2160
Step-by-step explanation:
=PRN
6000×0.12×3