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:
1/2= 5/10
5/10 - 3/10 = 2/10 or 1/5
so planet X is 1/5 of a light-year closer
Step-by-step explanation:
A) If we assume the service charges are a one-time charge, we can let x represent the number of days of rental and a(x) and b(x) the charges for company A and company B, respectively. We are given the initial value and the rate per day in each case, so we can simply write down the equations:
... a(x) = 15 + 35x
... b(x) = 10 + 42x
B) Company A charges less for any rental lasting 1 day or longer. The total for the 1st day (50 vs 52) is less, and the rate per day is less for company A.
C) The difference in cost is ...
... b(x) - a(x) = (10 +42x) -(15 +35x) = 7x -5
so for 10 days, company A costs 7·10 -5 = 65 dollars less
There should be a point the line is going through, (1,2).
We have given that,
N55.60 for 1yr 6 months at the rate of 2%
We have to determine the principal which will yield simple interest of N55.60 for 1yr 6 months at the rate of 2%.
<h3>
What is the simple interest?</h3>
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
x = inches
y = miles
per 1 inch = 2 miles
so on the graph, there should be a point the line is going through, (1,2).
To learn more about the simple interest visit:
brainly.com/question/2294792
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