Answer:
True.
Step-by-step explanation:
We can represent an odd number by 2n + 1 where n = 0, 1, 2, 3, 5 etc.
Substituting:
a^2 + a = (2n + 1)^2 + 2n + 1
= 4n^2 + 4n + 1 + 2n + 1
= 4n^2 + 6n + 2
= 2(2n^2 + 3n + 1)
which is even because any integer multiplied by an even number is even.
This is also true if we use a negative odd integer:
We have 4n^2 + 4n + 1 - 1 - 2n
= 4n^2 + 2n
= 2(2n^2 + n(.
Answer:
(0,-6)
Step-by-step explanation:
recall that the y-intercept is simply the point where the line crosses the y-axis at x = 0.
to find the y intercept, we simply substitute x=0 into the equation and solve for y
12x - 10y = 60, when x = 0,
12(0) - 10y = 60
-10y = 60
y = 60 / (-10)
y = -6
hence the coordinate of the y - intercept is (0,-6)
Let x be the times in hours he mowed the lawn and y the time, in hours, he did chores Then
x + y = 3
also 352x + 136y = 570
From the first equation y = 3 - x, Plug this into second equation:-
352x + 136( 3 - x) = 570
216x = 570 - 136(3) = 162
x = 162/216 = 0.75
so he spent 0.75 hours (or 45 minutes) to mow the lawn.
Answer:
$150
Step-by-step explanation:
$300 divided by 2 = $150
5 hours = 330 bagels to find how many in 1 hours divide by 5 1 hour = 66 bagels then do 66 x 13 = 858 so in 13 hours they bake 858 bagels