Answer:
1) x(x+7)
3) (x+5)*(x+4)
4) (x-6)*(x-8)
5) x(2x+21)+11
6) 5(a-5)*(a+5)
7) (4x+3)*(2x-3)
8) 4( x²-6xy+8)
Step-by-step explanation:
Given that the line passes through the two points (-3,4) and (2,8)
We need to determine the equation of the line.
<u>Slope:</u>
The slope of the line can be determined using the formula,

Substituting the points (-3,4) and (2,8) in the above formula, we get;


Thus, the slope of the line is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,

Substituting the point (-3,4) and
in the above formula, we have;




Thus, the equation of the line is 
The initial value of the graph is where
. Thus, in this case, the initial value is 12.
The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:

and
are points on the graph
Let's use two points from the chart to find the slope:

In this case, the rate of change of the graph is 9.
For a parallel line the slope of the lines/equations will be the same but for perpendicular line the slope will be the negative reciprocal
-(1/4)*x+b
b=2-(-1/4)*8
Answer: 9
Step-by-step explanation: 105/12=8.75
8 batches are not enough so she should do it one more time to finish