Step-by-step explanation:
7p²-30p+8
=(p-4)(7p-2)
Answer:
See explanation
Step-by-step explanation:
Jane is given a $100 gift to start and saves $35 a month from her allowance.
- After 1 month, Jane has saved

- After 2 months, Jane has saved

- After three months, Jane has saved

- and so on
In general, after x months Jane has saved

This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.
To construct the equations for these lines, we are going to use the point-slope formula, which is:

is the slope of the line
is a point on the line
1)
In this case, our point is (2, -1) and our line has a slope of 5. (Remember that the line is parallel, meaning that it has the same slope as the given line. Since the line is in the y = mx + b format, we could easily pick out the slope m as being 5.)
Thus, we can "plug in" what we know into our formula to find the equation of our line:



2)
We are going to do the same thing, except our point is now (0, -5) and our slope is now 9.


Our equations are:
1) y = 5x - 11
2) y = 9x - 5
2 steering wheels manufactured each hour were defected
There were 50 steering wheels manufactured per hour
The fraction is

Divide 2, which is the numerator by 50, which is the denominator
2÷50=.04
To change any decimal into a fraction, multiply by 100
The multiply .04 by 100 to change into a percentage
.04×100=4.⇒4%
4% is the percentage of defective steering wheels