The point-slope equation of the line is 
Step-by-step explanation:
The form of the point-slope equation is 
, where
- m is the lope of the line
is a point lies on the line
The slope of a line 
, where
and 
are two points on the line
∵ The line through (2 , 3) and (7 , 4)
∴ 
= 2 and 
= 7
∴ 
= 3 and 
= 4
- Substitute these value in the rule of the slope
∵ 
∴ the slope of the line is 
Let us substitute the value of the slope and the coordinates of point in the form of the equation
∵
∵ = 2 and = 3
∵
∴
The point-slope equation of the line is
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Answer:
That's all you're doing is writing the equation for two lines and finding out where they intersect. The slope is how much the price is increasing or decreasing and the y-intercept is where the price is starting at.
x = number of hours
y = mx + b = 0.12(x + 3) + 15.21 {It's (x + 3) because we have to add the 3 hours between 9 and noon}
y = mx + b = -0.11x + 15.96 {The slope is negative because the price is decreasing}
Set them equal to each other
0.12(x+3) + 15.21 = -0.11x + 15.96
Now solve for x
0.12x + 0.36 + 15.21 = -0.11x + 15.96
0.12x + 15.57 = -0.11x + 15.96
0.12x + 0.11x = 15.96 - 15.57
0.23x = 0.39
x = 0.38 / 0.23 = 1.7 hours
Convert 0.7 into minutes
0.7 hours * (60 min / 1 hour) = 42 min
So the prices are the same 1 hour and 42 min after noon, which is 1:42 PM
Step-by-step explanation:
The value of b is -16 and the value of ac is 60 after comparing with the standard equation.
<h3>What is a quadratic equation?</h3>
Any equation of the form 
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have a quadratic function:
= 3x² - 16x + 20
On comparing with standard function:
b = -16
a = 3
c = 20
ac = 3(20) = 60
Thus, the value of b is -16 and the value of ac is 60 after comparing with the standard equation.
Learn more about quadratic equations here:
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Answer:
The total amount received is: $1906650
Step-by-step explanation:
Given
--- initial
--- rate
--- time
Required
Determine the total amount at the end of 29 years
The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms
Where
Express percentage as decimal
The required is the calculated using:
So, we have:
<em>The total amount received is: $1906650</em>
Answer:
The numerical value of the circumference is greater than the numerical value of the area.
