<h2>
Answer with explanation:</h2>
The given function : 
Using completing the squares, we have
[∵ 
]
(1)
Comparing (1) to the standard vertex form 
, the vertex of function is at (h,k)=(-1,-4)
For x-intercept, put f(x)=0 in (1), we get
Square root on both sides, we get
∴ x intercepts : x= (-3,0) and (1,0)
For y-intercept put x=0 in (1), we get
∴ y intercept : (0,-3)
Axis of symmetry : 
In , a=1 and b=2
Axis of symmetry=
Answer: 112 km
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Work Shown:
(5 miles)/(8 km) = (70 miles)/(x km)
5/8 = 70/x
5*x = 8*70 ... cross multiply
5x = 560
x = 560/5 .... divide both sides by 5
x = 112
According to the given estimation, 70 miles converts to 112 km.
The more accurate conversion is approximately 70 miles = 112.65408 km, so this estimation isn't too far off.
Ratio of red roses to yellow roses as given in the question = 4:6
Total number of roses in the question = 50
Let us assume that the common ratio is = x
Then
4x + 5x = 50
10x = 50
x = 50/10
= 5
Then
The number of yellow roses = 6 * 5
= 30
So there are 30 yellow roses among the total of 50 roses. I hope the procedure is simple enough for you to understand. You can use this procedure for solving similar type of problems in future. I hope this has helped you.
3.36242487588 is the answer
