Respuesta :
Answer:
x=4 or B
Explanation:
It says that the increase in temperature is (2x+1) and that is within (x+5) seconds. Therefore, (2x+1)/(x+5)=(x-3). X then equals 4, or -4. Therefore, the answer is 4, or B.
A possible value of x = B)4
Further explanation
The main composition of algebraic expressions are:
- 1. phrases
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
- 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
- 3. constants
is a fixed value, can be a number
- 4. arithmetic operations
+, -,:, 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:
[tex] \large {\boxed {\boxed {\bold {ROC = \frac {f (a) -f (b)} {a-b}}}} [/tex]
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
[tex]\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[/tex]
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