Solution for system of 2 equations of lines is coordinates of point at which those 2 lines intercept. The reason for is that those coordinates fit in both equations. IF you implement coordinates of that point in either of those equations of 2 lines you will see that left side is equal to right side which means that that point belongs to that line.
This method here is graphical method of solving system of equations. Other method is, of course, solving system of equations using math...
Answer is (1,2)
Exponential model is y=Ae^(kt)
Assume initial start is 2005, time = 0, so y = 18000e^(kt)
45000 = 18000*e^(k5)
solve for k, approx 0.1832
y = 18000*e^(1.832) = 112,435, approximately
Answer:
A decimal is a fraction written in a special form. ... Decimal comes from the Latin word decimus, meaning tenth, from the root word decem, or 10. The decimal system, therefore, has 10 as its base and is sometimes called a base-10 system. Decimal can also specifically refer to a number in the decimal system.
Step-by-step explanation:
According to google
Answer:
the area is 10 feet by 10 feet, 100 feet²
subtract the area of the circle from this.
you get it by A = r² * pi
so 5² * 3.14159...
=78.5398163397
100-78.5398163397
is roughly 21.46 square feet
Answer:
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Step-by-step explanation:
Given
Given that the function f(x) and g(x) are inverse functions.
To determine
Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
<u>Determining the inverse function of f(x) </u>
A function g is the inverse function of f if for y = f(x), x = g(y)
Replace x with y
Solve for y
Therefore,
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
