A possible value of <u>x = B)4</u>
<h3>Further explanation
</h3>
The main composition of algebraic expressions are:
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
is a fixed value, can be a number
+, -,:, x
The Average Rate of Change of a function shows the comparison between 2 objects that change
If we use the notation function, the Average rate of Change of a function from a to b can be formulated as:
ROC = rate of change
a temperature increases by (2x + 1) ºC from the original x, in x + 5 seconds, then the average rate of change is (x - 3) C / s.
There are 2 functions that change, temperature and time
If we change above statement to algebraic form, it becomes
![\rm ROC=\dfrac{\Delta temperature}{\Delta time}\\\\x-3=\dfrac{2x+1}{x+5}\\\\(x-3)(x+5)=2x+1\\\\x^2+2x-15=2x+1\Rightarrow combine\:like\:terms\\\\x^2+2x-2x-15-1=0\\\\x^2-16=0\\\\(x+4)(x-4)=0\\\\x=4,x=-4\Rightarrow use\:positive\:value\:x=4](https://tex.z-dn.net/?f=%5Crm%20ROC%3D%5Cdfrac%7B%5CDelta%20temperature%7D%7B%5CDelta%20time%7D%5C%5C%5C%5Cx-3%3D%5Cdfrac%7B2x%2B1%7D%7Bx%2B5%7D%5C%5C%5C%5C%28x-3%29%28x%2B5%29%3D2x%2B1%5C%5C%5C%5Cx%5E2%2B2x-15%3D2x%2B1%5CRightarrow%20combine%5C%3Alike%5C%3Aterms%5C%5C%5C%5Cx%5E2%2B2x-2x-15-1%3D0%5C%5C%5C%5Cx%5E2-16%3D0%5C%5C%5C%5C%28x%2B4%29%28x-4%29%3D0%5C%5C%5C%5Cx%3D4%2Cx%3D-4%5CRightarrow%20use%5C%3Apositive%5C%3Avalue%5C%3Ax%3D4)
<h3>Learn more
</h3>
6 squared divided by 2 (3) +4
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an algebraic expression
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