Answer: y = 3
Step-by-step explanation:
Answer (numbers needed in boxes, going from top to bottom):
1
-1
-3
3
Step-by-step explanation:
f(x) is another way of saying y. So, the table is asking, "when substituting these x values for the x's in the function, what does y equal?" So, to answer the question, substitute each x value into the equation and solve.
1) Start with the x value of 1. Substitute 1 for x in y = 2x - 1 and solve:

So, when x equals 1, y equals 1. Therefore, the first box on the top must be filled out with the number 1.
2) Do the same with the rest of the x values. Here are the steps to solve each one, going in order from the top towards the bottom:
x = 0

x = -1
x = 2

Answer:
C
Step-by-step explanation:
Using calculator to evaluate
≈ 20.5191 → C
Answer:
It will take 39.27 gallons to repaint the barn.
Step-by-step explanation:
The image of the setup is obtained from online and attached to this solution.
The rectangular prism is a cuboid of
Length = 84 ft
Breadth = 38 ft
Height = 20 ft
And the triangular prism on top of the rectangular prism has a vertical height of 12 ft.
The surface area of the composite structure that is available for painting include the 4 sides of the top triangular prism and the four sides of rectangular prism
Two of the faces of the triangular prism are triangles with base of 38 ft and height of 12 ft.
The other two faces of the triangular prism are rectangles with length 84 ft and breadth of the hypoteneuse of the right angled triangle on top.
B² = 12² + 19²
B = 22.47 ft
Total Surface area of the faces of the rectangular prism is then
2×(84×20) + 2×(38×20) = 4880 ft²
Total surface area of the faces of the triangular prism is then
2×(0.5×12×38) + 2×(84×22.47) = 4,230.96 ft²
Total surface area = 4880 + 4230.96 = 9110.96 ft²
1 gallon of paint = 232 ft²
x gallons of paint = 9110.96 ft²
x = (1×9110.96/232) = 39.27 gallons.
Hope this Helps!!!
Answer:
30cm^2
Step-by-step explanation:
area of large rectangle = length x width
= 5 X 9 = 45 cm^2
area of small rectangle = length x width
= 3 X 5 = 15 cm ^2
45 - 15 = 30cm^2