We can rearrange
x + y = 9
in to
y = 9 - x
This means the value of y is EQUAL to 9 minus the value of x.
[A] fits this description, because y (9) is equal to 9 minus x (0).
[B] does too, because y (0) is equal to 9 minus x (9).
Answer:
d
Step-by-step explanation:
To determine if (1, 2) is a solution to the system
Substitute x = 1, y = 2 into the inequalities and check their validity.
y > 2x → 2 > 2 ← incorrect statement
x + y < 3
1 + 2 < 3 → 3 < 3 ← incorrect statement
(1, 2) is not a solution to either inequality → d
Answer with Step-by-step explanation:
We are given that A, B and C are subsets of universal set U.
We have to prove that

Proof:
Let x
Then
and 
When
then
but 
Therefore,
but 
Hence, it is true.
Conversely , Let
but 
Then
and
When
then 
Therefor,
Hence, the statement is true.
Answer: 178 ft^3
Step-by-step explanation:
A cylinder has the formula V=pi radius ^2 height
A cone has the formula V= 1/3 pi radius ^2 height
So 1/3 of the volume of the cylinder is the volume of a cone
1/3 of 534 = 178 ft^3
Answer:
2500 is not a reasonable estimate.
Step-by-step explanation:
We are given the following in the question:
Number of pages read by Josie = 246
Pages read by older brother = 3 to 4 times as many pages as Josie
If x represents the number of pages read by her brother, we can write:

Putting values, we get,

Since, 2500 does not lie in this interval

Thus, 2500 is not a reasonable estimate for the number of pages that Josie's brother read.