Find the vertex.
x=b/-2a
12/-2(1)
x=-6
then plug into equation
-6^2+12(-6)+6
36-72+6=-30
(-6,-30)
Answer:
2x − 3y = 9 2 x - 3 y = 9 The slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. y = mx +b y = m x + b Rewrite in slope-intercept form.
Step-by-step explanation:
answer is y = 2/3x-3
Sandy is boring. She should hit the ball towards the hole and hope she doesn't miss.
Ok so
ratio
35/200=x/3000
7/40=x/3000
multiply both sides by 12000
2100=4x
divide both sides by 4
525=x
aprox 525 people
The picture is not clear. let me assume
y = (x^4)ln(x^3)
product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)
dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)
look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)
end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]
