Half one is 1/2;
half three is 3/2;
Thus, if f(x) represents annual growth, f(x)/2 shows it every half-year, like this:
![\dfrac{f(x)}{2} = \dfrac{15\cdot 2^x}{2} \\ \\ \dfrac{f(x)}{2} = \dfrac{15}{2}\cdot 2^x](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28x%29%7D%7B2%7D%20%3D%20%5Cdfrac%7B15%5Ccdot%202%5Ex%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20%0A%5Cdfrac%7Bf%28x%29%7D%7B2%7D%20%3D%20%5Cdfrac%7B15%7D%7B2%7D%5Ccdot%202%5Ex)
Written in plain text: f(x)=15/2*2^x
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:
![\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B-b%20%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
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:
brainly.com/question/2263981
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5x^2 - 80 = 0
5x^2 = 80
x^2 = 80/5
x^2 = 16
x = sqrt 16
x = (4,-4) <===
12 = 2/3(x - 3)
<em><u>Distributive property.</u></em>
12 = 2/3x - 2
<em><u>Add 2 to both sides.</u></em>
14 = 2/3x
<em><u>Multiply both sides by 3.</u></em>
42 = 2x
<em><u>Divide both sides by 2.</u></em>
21 = x
The value of x is equal to 21.