Answer:
Step-by-step explanation:
1,1
Answer:
The formula for exponential growth is f(x)=a(1+r)^x, where a is the initial amount/number, r is the growth rate, and x is the number of years/month/etc. The problem tells us that the initial area is 4500. Every year, it decreases by 7.25%, which is technically -0.0725. "t" is the time. Therefore, we plug in those values into the formula. Then, we have:
f(x) = 4500(1-0.0725)^t
f(x) = 4500(0.9275)^t.
Well make the equation into slope intercept form: y=mx + b and whatever the coefficent is to x will be your slope
8x+2y= 5 can be written as y= (-8/2)x + (5/2) so the slope would be (-8/2)
Answer:
(2/5, 9/5)
Step-by-step explanation:
To find the solutions, we are given the value of y in terms of x: y = 2x + 1. We can plug this into the circle equation to get:
(x - 1)^2 + (2x + 1 - 1)^2 = 1
Now, we can expand and simplify:
x^2 - 2x + 1 + (2x)^2 = 1
x^2 - 2x + 1 + 4x^2 = 1
5x^2 - 2x = 0
Now, we can factor:
x(5x - 2) = 0
And, using the zero product property, we get two equations which we can solve:
x = 0
5x - 2 = 0
5x = 2
x = 2/5
Since x is 0 in the first solution, we use the other solution and plug it into the equation y = 2x + 1 to find y:
y = 2(2/5) + 1
y = 4/5 + 1
y = 9/5
This means the coordinates of the point is (2/5, 9/5)
