Answer:
See below.
Step-by-step explanation:
Party A
y = x^2 + 1
For each value of x in the table, substitute x in the equation with that value and evaluate y.
x = -2: y = (-2)^2 + 1 = 4 + 1 = 5
x = -1: y = (-1)^2 + 1 = 1 + 1 = 2
Do the same for x = 0, x = 1, x = 2
x y
-2 5
-1 2
0 1
1 2
2 5
Part B
Look at points (-2, 5) and (-1, 2). The change in x from (-2, 5) to (-1, 2) is 1. The change in y is -3.
Now let's look at two other points which have a change in x of 1. Look at points (0, 1) and (1, 2). The change in x from (0, 1) to (1, 2) is 1. The change in y is 1.
You can see that for the first two points, a change of 1 in x produces a change of -3 in y, but for the second two points, the same change of 1 in x produce a change of 1 in y. Since the same change of x does not always produce the same change in y, the function is nonlinear.
Answer: A
Answer:
2
Step-by-step explanation:
It sounds like we are pretending A is the universe. The only numbers in our world are 1,2,3,4, and 5.
You are given B is all numbers greater than 2.
The complement of B would all the elements not listed in B.
The elements in B are 3,4, and 5, since we are looking for numbers greater than 2 in our world of numbers above.
The elements not in B are 1 and 2.
So B complement is {1,2}.
There are 2 elements in our set for B complement. The elements that were counted were just the element 1 and the element 2.
Answer:
Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid.
Part 2) The dimensions of this surface are 6 in x 6 in.
Part 3) Molly needs to paint 228 square inches.
Step-by-step explanation:
Part 1) Which surface is shared by the two solids?
we know that The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) What are the dimensions of this surface?
The surface is a square with side length 6 inches so The dimensions of this surface are 6 in x 6 in
Part 3) what is the area molly needs to paint?
we know that The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids so therefore, Molly needs to paint 228 square inches
Answer:
1.B 2.D 3.C 4.A
Step-by-step explanation:
