Answer:

Step-by-step explanation:
we have

This is a vertical parabola open downward (the leading coefficient is negative)
The vertex is a maximum
The vertex is the point (h,k)
The range of the function is the interval (-∞,k]
so

Convert the quadratic equation in vertex form
Factor -1 leading coefficient

Complete the square


Rewrite as perfect squares

The vertex is the point (-1,4)
therefore
The range is 
Answer:
2nd option
Step-by-step explanation:
- 5 =
← in the form 
Answer:
P = 6w + 18
Step-by-step explanation:
A rectangle is a plane shape having a LENGTH and a WIDTH.
Length (l) = w + 4
Width (w) = 2w + 5
To write a simplified equation in terms of w to represent the total length, let's used the idea of a PERIMETER of a RECTANGLE.
Perimeter (P) = 2 ( l + b)
Where l = length= w + 4
Where b = width = 2w + 5
P = 2( w + 4 + 2w + 5)
P = 2( 3w + 9)
P = 6w + 18
THe correct option is the 3rd option
Answer:
tip = 3.07
final bill = 18.40
Step-by-step explanation:
To find the tip, we take the percent times the bill
tip = 20% * 15.33
.20 *15.33
3.066
Rounding to the nearest cent
3.07
The final bill is the tip plus the bill
final bill = 15.33+3.07
18.40