Subtracting 1 from the function notation will decrease the y-values on the graph by 1 unit.
This will shift then entire graph of f down by 1 unit to create the graph of g.
Answer:
All real numbers
Step-by-step explanation:
The domain of the function is the set of real values that can be substituted into a function to produce a valid output. Any real number can be substituted into the function (y = x), and produce a valid output. Thus, the domain is all real numbers.
Answer:
[2, 6].
Step-by-step explanation:
Notice that there is a red line (graph) only for [2, 6]. Thus, the domain of this function is [2, 6].
Answer:
The fraction of Nathan's pencils that are yellow without erasers is 1/2.
Step-by-step explanation:
The problem gave us two informations, the first one is the fraction of the total amount of pencils that Nathan has that are yellow, the second one is the fraction of those yellow pencils that don't have erasers. So in order to find the fraction of the total pencils that are yellow pencils without erasers we need to multiply the two fractions that were given to us. So we have:
yellow pencils without erasers = (3/4)*(2/3) = 6/12 = 1/2
Answer:
length is 14.4ft and the width is 12.4ft
Step-by-step explanation:
Volume of the aquarium = length * width * height
Given
Volume = 300ft^3
Height = 3feet
l = w+4
Substitute
300 = 3w(w+4)
100 = w(w+4)
100 = w^2+4w
w^2+4w-100 = 0
w = 4±√16+400/2
w =4±√416/2
w = 4±20.4/2
w = 24.4/2
w = 12.2feet
Since l = w+4
l = 12.2+4
l = 16.4ft
hence the length is 14.4ft and the width is 12.4ft
