Correct option D) Base of exponential function is greater than 1 , this function will exceed linear function .
<u>Step-by-step explanation:</u>
Here we have , f(x) = 0.25x + 25 and g(x) = 15(1.25)x . We need to tell As x approaches ∞, which function exceeds whom! Let's find out:
This function is a linear function with an equation of straight line , having slope and y-intercept as :
Graph for this function is attached below .
This function is an exponential function in the form of , where b>1 i.e. for rise in value of x there is exponential increase in value of y or , function .Basically Base of this exponential is greater than 1 , which makes it an increasing function ! Graph for this function is attached below .
Now , Comparing both graphs we see that as x approaches ∞ graph of exponential function is much more vertical than linear function . Since , base of exponential function is greater than 1 , this function will exceed linear function .Correct option D)
If the blue part is what is shaded, I'd say it's Graph B. But you can double check on a great website called "https://www.desmos.com/"
Answer:-10.2n-1
Step-by-step explanation:
you have: -2.4n+3 and -7.8n+2
Combine like terms.
-2.4n - 7.8n = -10.2n
-3 + 2 = -1
So we have:
-10.2n - 1
In other words-->>
-2.4n-3+-7.8n+2
Simplify them-->>
-10.2n-3+2
-10.2n-1
(X + 5)(x + 4) = (x + 12)(x + 1)
x^2 + 9x + 20 = x^2 + 13x + 12
4x = 8
x = 2
x = 2