Answer:
(5,-6)
Step-by-step explanation:
ONE WAY:
If , then .
Let's simplify that.
Distribute with :
Combine the end like terms :
Use identity for :
Combine like terms and :
We are given .
So we have that .
The vertex happens at .
Compare to to determine .
Let's plug it in.
So the coordinate is 5.
Let's find the corresponding coordinate by evaluating our expression named at :
So the ordered pair of the vertex is (5,-6).
ANOTHER WAY:
The vertex form of a quadratic is where the vertex is .
Let's put into this form.
We are given .
We will need to complete the square.
I like to use the identity .
So If you add something in, you will have to take it out (and vice versa).
So we have in vertex form is:
.
The vertex is (3,-6).
So if we are dealing with the function .
This means we are going to move the vertex of right 2 units to figure out the vertex of which puts us at (3+2,-6)=(5,-6).
The coordinate was not effected here because we were only moving horizontally not up/down.
Answer:
4 ÷ 10
Step-by-step explanation:
The computation of P is shown below:
If we add two marbles i.e.
= 4 + 6
= 10 marbles
Now if we draw the second marble
P(blue) = Blue marbles ÷ total marbles
= 4 ÷ 10
In the other case
P( blue second given a green first) = 4 ÷ 10
Step-by-step explanation:
Answer:
She is not breaking even. The discounted price is .84t, which is less than t.
Step-by-step explanation:
Retail price= 1.4
1.4×.4= .56
40% of 1.4 is .56
Subtract 40% of 1.4 from the retail price because she is marking down.
(1.4)-(.56)=.84
So the discounted price is .84t
This problem is difficult because we don't know if she sold any tea by the retail price and if she did how much did she sell.