Answer:
Step-by-step explanation:
use the point-slope formula [y-y1 =m(x-x1) ] with the given info
for the point P=(x1,y1) =(2,-2) and the slople m = -1/2
plug those into the formula
y-(-2)= -1/2(x-2)
y+2= -1/2x + 1
y= -1/2x+1 - 2
y = -1/2x - 1
:) got it?
these are hard untill you get the idea of the two formulas
point-slope: y-y1 = m(x-x1) and
slope-intercept: y= mx+b
memorizing those will help a lot
Answer:
Original Salary: 
Increase in 3%: 
Step-by-step explanation:
So when something increases by x%, the new value is (100+x)% the original value. So 6255, is 105% the original value. This means to find the original value, we have to find the number that has 6255 as 105% of it's value. Whenever you try to find x% of a number, you multiply it by the decimal value of the percentage, which is found by dividing by 100. So to find x%, you do:
where o = original value, x=percent. In this case the percent is 105%, which when divided by 100 is 1.05. So this gives us the equation:
. This is his original salary. You need to do this process, do not make the mistake of subtracting 5% from 6255. This is because 5% of 6255 does not equal the 5% of the original value. 5% of 6255 should be greater than 5% of the original value, since the new value is an increase of 5%. So since we have his original salary, we can calculate the salary increase had it been 3%. to do this we multiply by 1.03 (103% divided by 100). This gives us the equation: 
Answer:
1/5 or 0.2
Step-by-step explanation:
Answer:
The common difference is or 0.2
Step-by-step explanation:
Given:
Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,
First term = a₁ = -2
Second term = a₂ =
Third term = a₃ =
Fourth term = a₄ =
To Find:
Common Difference = d = ?
Solution:
Formula for Common Difference d ,
∴
The common difference is or 0.2