Answer:
Step-by-step explanation:
Given:
Required
Rewrite in vertex form
The vertex form of an equation is in form of: 
Solving:
Subtract 2 from both sides
Factorize expression on the right hand side by dividing through by the coefficient of x²
Get a perfect square of coefficient of x; then add to both sides
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<em>Rough work</em>
The coefficient of x is 
It's square is 
Adding inside the bracket of 
to give: 
To balance the equation, the same expression must be added to the other side of the equation;
Equivalent expression is: 
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The expression becomes
Factorize the expression on the right hand side
Make y the subject of formula
<em>Solved</em>
First, you drive 123km per day, and they ask for in a week.
There are 7 days in a week, we have to multiply 123 by 7, which equals 861.
=km per week 861
Now, we need to find out how much cost the gas. Gas cost 1.10 euros per-liter, and this problem wants us to assume that 1euro = 1.26 dollars.
So, we divide 1.10 by 1.26 which is 0.87.
=gas cost 0.87 per liter.
Next, this person goes 31.0 mi/gal per stop.
To get the answer we need to divide 861 the full distance in a week and divide it by how many stops nee to be made which is each 31 mi/gal.
So, 861/31 = 27.77 and now we times 0.87 by 27.77 to get gas cost.
=24.16
Answer:
x < 15
Step-by-step explanation:
- 3 < 0 ( add 3 to both sides )
< 3 ( multiply both sides by 5 to clear the fraction )
x < 15
Answer:
D. y = 8.9 ÷ 0.4
Step-by-step explanation:
I hope this helps
Starting January 1, 2015, there are 364 remaining nights.
From 1,001 nights, it will be 637 nights left.
In 2016, there are 366 nights. Subtract it to 637 nights left, you will get 271 nights left.
In 2017, 271 is lesser than 365.
From January to August, the nights left is 28.
<span>
So the date will be September 28, 2017.</span>
