First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>
A = L * W
A = 7 * 4
A = 28 sq ft....this is the area of her garden
and if each plant uses 1 sq ft, then there will be (30 - 28) = 2 plants leftover
Answer:
90 engines must be made to minimize the unit cost.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point 
In which
Where
If a>0, the minimum value of the function will happen for 
C(x)=x²-180x+20,482
This means that 
How many engines must be made to minimize the unit cost?
x value of the vertex. So
90 engines must be made to minimize the unit cost.
Answer:
B) 1.75 + 0.45m = 13.90
Step-by-step explanation:
To calculate the Taxi fare, we need to sum the fixed charge and the additional charge. Fixed charge ever is $1.75. The additional charge changes with the miles traveled (one mile costs $0.45, two miles $0.90, and so on), so we need multiply the charge ($0.45) by the miles m traveled.
1.75 + 0.45 m
The problem says that the fare was equals to $13.90 so the final equation is
1.75 + 0.45m = 13.90
X and y
x=2y+9
x-y=22
*x is the larger number*
plug in x to solve for y
2y+9-y=22
y+9=22
-9 both sides
y=13
plug in y and solve for X
x=2 (13)+9
x=26+9
x=35
