Answer:
The second one for both a and b.
Step-by-step explanation:
The first cereal box is:
8•3•11=264 inches cubed
the second cereal box is:
10•10•3=300 inches cubed
a. The box that holds more cereal would be the second one, since it has more volume.
b. The box that requires more material to make is the second one, since the it is bigger in volume, therefore, bigger in length and width.
Answer: y=1/2x-1
Step-by-step explanation:
Its is true that C ⊆ D means Every element of C is present in D
According to he question,
Let C = {n ∈ Z | n = 6r – 5 for some integer r}
D = {m ∈ Z | m = 3s + 1 for some integer s}
We have to prove : C ⊆ D
Proof : Let n ∈ C
Then there exists an integer r such that:
n = 6r - 5
Since -5 = -6 + 1
=> n = 6r - 6 + 1
Using distributive property,
=> n = 3(2r - 2) +1
Since , 2 and r are the integers , their product 2r is also an integer and the difference 2r - 2 is also an integer then
Let s = 2r - 2
Then, m = 3r + 1 with r some integer and thus m ∈ D
Since , every element of C is also an element of D
Hence , C ⊆ D proved !
Similarly, you have to prove D ⊆ C
To know more about integers here
brainly.com/question/15276410
#SPJ4
Step-by-step explanation:
5.
g(x)=-2x+1
let y=2x+1
Interchanging role of x & y
x=2y+1
y=½x-½
g-¹(x)=½(x-1)
not
equal to f(x)=-x+1
<u>Given function are not function of each other</u> .
6.
g(x)=-x
let
y=-x
Interchanging role of x & y
x=-y
y=-x
g-¹(x)=-x
not
equal to f(x)=3+⅓x
<u>Given function are not function of each other .</u>
