The point slope form of a line is written as y - y1 = m(x -x1)
Where m is the slope and x1 and y1 are the points on the line.
You are told the slope is 3 and the point is (2,-1/2)
x1 is 2 and y1 is -1/2
Replace those in the equation to get:
y- (-1/2) = 3(x-2)
Simplify to get the final answer:
y + 1/2 = 3(x-2)
Add the five to each side.
then square it to get rid of the square root
2x+13=(5+x)^2
2x+13=x^2+10x+25
2x=x^2+10x+12
x^2+8x+12=0
(x+6)(x+2)
x+6=0
x+2=0
answers are -2 and -6, however, when pluging -6 in it doesnt work, so it is only -2.
Answer:
60.7420...
Step-by-step explanation:
Answer:
The value of x is
Step-by-step explanation:
We are given
We need to solve for x
First we subtract 2 both sides
Taking cube roots both sides to isolate x
Simplify the radical
Thus, The value of x is
Answer:
5.5%
Step-by-step explanation:
To solve this problem we can use a modified version of the simple interest formula which is shown below:
<em>I = interest amount</em>
<em>P = principal amount</em>
<em>t = time (years)</em>
<em />
The first step is to find the interest gained from the investment.
Next, plug in the values into the equation:
Multiply the bottom values
Divide the values
The last step is to convert 0.055 into a percent:
The interest rate is 5.5%