Answer: 3
Step-by-step explanation:
Factor each coefficient into primes. Write all variables with exponents in expanded form.
List all factors—matching common factors in a column. In each column, circle the common factors.
Bring down the common factors that all expressions share.
Multiply the factors.
2/pi
I took the test and got it correct.
Answer:
Statement: x =15.
Reason: Subtraction and Division properties of equality.
Explanation:
Given: and
⇒
⇒ 60= 3x+15 or
Subtraction property of equality: Subtract the same number from both sides of an equation.
Subtract 15 from both sides of an equation;
or
45=3x
Division property of equality: Divide the same number from both sides of an equation;
Divide by 3 from both sides of an equation, we have
Simplify:
x=15 Hence proved!
Mode function is the function that keeps the value of the function between the range of positive to negative number which is equal to the result of given function. The value <em>x </em>is 2 and 8 for the given function and it can be written as,
![x=2\;\;\; \vee \;\;\;x=8](https://tex.z-dn.net/?f=x%3D2%5C%3B%5C%3B%5C%3B%20%5Cvee%20%5C%3B%5C%3B%5C%3Bx%3D8)
Given information-
The given function in the problem is-
![f(x) = 4|x- 5| +3](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%7Cx-%205%7C%20%2B3)
The value of<em> x </em>has to be find out for the function,
![f(x)=15](https://tex.z-dn.net/?f=f%28x%29%3D15)
<h3>Mode function-</h3>
Mode function is the function that keeps the value of the function between the range of positive to negative number which is equal to the result of given function.
As both the given function are function of x and equal. Thus compare both the function to find the value of <em>x.</em>
Thus,
![4|x- 5| +3=15](https://tex.z-dn.net/?f=4%7Cx-%205%7C%20%2B3%3D15)
Substract with 3 both the sides,
![\begin{aligned}\\4|x- 5| +3-3&=15-3\\4|x- 5| &=12\\\end](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5C%5C4%7Cx-%205%7C%20%2B3-3%26%3D15-3%5C%5C4%7Cx-%205%7C%20%26%3D12%5C%5C%5Cend)
Divide both side by 4 and solve further,
![|x- 5| &=3](https://tex.z-dn.net/?f=%7Cx-%205%7C%20%26%3D3)
As the result of the above mode function is equal to the positive 3 and negative 3. thus,
![x-5=-3\\x-5=3](https://tex.z-dn.net/?f=x-5%3D-3%5C%5Cx-5%3D3)
Thus the value <em>x </em>is 2 and 8 for the given function and it can be written as,
![x=2\;\;\; \vee \;\;\;x=8](https://tex.z-dn.net/?f=x%3D2%5C%3B%5C%3B%5C%3B%20%5Cvee%20%5C%3B%5C%3B%5C%3Bx%3D8)
Learn more about the algebraic functions here;
brainly.com/question/953809