Answer:
see the procedure
Step-by-step explanation:
Looking at the graph we have
The graph represent a vertical parabola open upward
The vertex is a minimum
The vertex is the point (-4,-3)
The domain is the interval -----> (-∞,∞)
The Domain is all real numbers
The range is the interval ----> [-3,∞)
The range is all real numbers greater than or equal to -3
The graph is increasing in the interval (-4,∞)
The graph is decreasing in the interval (-∞,-4)
The minimum of the graph is y=-3 occurs at x=-4
Answer:
No, she cannot completely cover the footrest.
Step-by-step explanation:
First of all, we need to find the total surface area of the prism to be covered using the cotton cloth
the total surface area of the prism is
A = 2wl + 2lh + 2hw,
l is the length of the prism = 18 in,
w= width of the prism = 12 in,
h is the height of the prism = 10 in
hence 
We need to convert the area of the fabric to be in the same unit as that of the prism
Area of cotton fabric = 
since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest
Distribute 2/5 and 3/5 into the ():
2/5(a+b)+3/5(a+c)
2/5 a+ 2/5 b+3/5 a+ 3/5 c
combine the like terms:
2/5 a+3/5 a= 5/5 a --> 1a --> a
new simplified equation:
a+2/5 b+3/5 c
