To find the x value of the vertex we do:
x =

if your quadratic function is in the form ax² + bx + c = y
x =

x =

Now we plug this x into the equation and solve for y.
y =

y =

y =

y =

y =

y =

Your vertex (if my math is correct) is at
Answer:
What you need help with or is it something dealing with personal issues?
Answer:
8
Step-by-step explanation:
We can start by making the table below to show the given numbers (red) and to assign a variable (x) to <em>the number we want to find: female PhDs</em>.
By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.
The number of male non-PhDs is twice the number of male PhDs, so we have ...
2(14 -x) = 20 -x
28 -2x = 20 -x . . . . eliminate parentheses
8 = x . . . . . . . . . . . .add 2x-20
The number of female faculty with PhDs is 8.
Answer:
2
Step-by-step explanation:
Let's change the base to base 10 (log10(x) = log(x)).
logb(a) = log(a)/log(b)
log3(3²) =log(3²)/log3
Knowing that log(aⁿ) = n*log(a)
log(3²)/log3 = 2*log(3)/log(3)
So, we can simply log(3)/log(3) = 1
log3(3²) = 2
Answer:
It will take it 1 and 1/2 hours.
Step-by-step explanation:
Because they walk 5/6 miles in 5/4 hours we can set up a proportion. They walk 1/6 miles in 1/4 hour. Now using the proportion we can find out that they walk 1 full mile or 6/6 of a mile in 6/4 hours or 1 and 1/2 of an hour.