30xy + 36x^2 + 30x + 25y
= 6x(5y + 6x) + 5(6x + 5y)
= (6x + 5)(6x + 5y) Answer
Answer: A. The slope is
.
Step-by-step explanation:
The slope of a line helps to specify the direction of the line.
The slope of a line that passes through (a,b) and (c,d) is given by :-

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

Hence, the slope is
.
A. The
y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the
given table,
y - intercept
= 8
Since at
time zero the displacement is 8 ft, this means that the horse was already
outside the barn initially.
B. The
average rate of change of the function represents the slope of the linear
equation (m). This can be calculated using the formula:
average rate
of change = m = (y2 – y1) / (x2 – x1)
m = (158 –
58) / (3 – 1)
m = 50
<span>C. Since we have determine the y-intercept and
the slope, we can formulate the linear equation:</span>
y = m x + b
y = 50 x + 8
The domain
is the value of x. When y = 508, x is equivalent to
508 = 50 x +
8
<span>x = 10 hrs</span>
Since the slope is falling, instead of rising, it would be negative.
Now, on the line, I plotted (0, 2) and (-2, 10).
You would now plug this into the rise/run formula.
The formula is

The equation would become,

=

=
-4I believe the answer would be
-4.
I hope this helps!