Answer:
X=10.2
Step-by-step explanation:
B. correlation and causality
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:8x+4.5y less than or equal to 30
Step-by-step explanation:
You have to get the fractions to have a common denominator in order to add them together. what you want to do it multiply the whole number (ex. 3) by the denominator of the fraction (2/3) then add the numerator to have an improper fraction. the first trail would be 11/3 and the second trail would be 17/6. find the common denominator, add the two fractions, and then simplify the fraction the most you can.