please write clear queation
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 :
![m=0.25\\c=25](https://tex.z-dn.net/?f=m%3D0.25%5C%5Cc%3D25)
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)
Answer:
x₁ = 4
x₂ = 2
Step-by-step explanation:
x² - 6x + 8 = 0
x² - 2x - 4x + 8 = 0
x(x - 2) - 4(x - 2) = 0
(x - 4)(x - 2) = 0
x - 4 = 0 => x₁ = 4
x - 2 = 0 => x₂ = 2