Answer: Choice A. 
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Explanation:
Every point in the shaded region has an x coordinate that is equal to -7 or smaller.
Example points include
The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.
It takes Omar 30 seconds to eat one considering he ate 8 in 4 minutes ...
If we really wanted to we could turn this into the fraction 8/4
8 being the amount of carrot sticks he ate and 4 being the time it took
now all u have to do is simplify that turns into 2/1 and since the 1 is one minute and her can eat 2 in one minute we can safely say he eats 1 carrot stick every 30 seconds
:) hope this helps!!
Answer: i think its B
Step-by-step explanation:
Answer:
D because even though the flat fee is 150 paying 5$ a hour it will cost less
Triangular sequence = n(n + 1)/2
If 630 is a triangular number, then:
n(n + 1)/2 = 630
Then n should be a positive whole number if 630 is a triangular number.
n(n + 1)/2 = 630
n(n + 1) = 2*630
n(n + 1) = 1260
n² + n = 1260
n² + n - 1260 = 0
By trial an error note that 1260 = 35 * 36
n² + n - 1260 = 0
Replace n with 36n - 35n
n² + 36n - 35n - 1260 = 0
n(n + 36) - 35(n + 36) = 0
(n + 36)(n - 35) = 0
n + 36 = 0 or n - 35 = 0
n = 0 - 36, or n = 0 + 35
n = -36, or 35
n can not be negative.
n = 35 is valid.
Since n is a positive whole number, that means 630 is a triangular number.
So the answer is True.
