The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function that has vertex at (2, 6)
The options are:
f(x) = 2|x – 2| – 6
f(x) = 2|x – 2| + 6
f(x) = 2|x + 2| + 6
f(x) = 2|x + 2| – 6
As we know the vertex form of a quadratic function is given by:
f(x) = a(x - h)² + k
Similarly, mod function can be expressed as:
m(x) = a|x - h| + k
Here (h, k) is the vertex of a function.
In the function:
f(x) = 2|x – 2| + 6
The vertex of the function is (2, 6)
Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
Equation:
500-30x=130+20x
Since you want to find when they are the same, you put an equal sign. Also, since one is gaining and the other is losing, you have an addition and subtraction sign.
Solution:
370= 50x
x=7.4
Answer:
After 7.4 years, the clubs will have the same members, which is 278 members.
Tell me if this helps!!
Expand
13x - 16 - 10x = 12 - 11x
Simplify 13x - 16 - 10x to 3x - 16
3x - 16 = 12 - 11x
Add 16 to both sides
3x = 12 - 11x + 16
Simplify 12 - 11x + 16 to -11x + 28
3x = -11x + 28
Add 11x to both sides
3x + 11x = 28
Simplify 3x + 11x to 14x
14x = 28
Divide both sides by 14
x = 28/14
Simplify 28/14 to 2
x = 2
The monthly principal and interest payment John will pay monthly is $3,750.04
<h3>What is the amount of principal and interest repayment?</h3><h3 />
Given:
- P = 10,000
- i = 5% / (12 months) = 0.375
- L = 36 months
Approximately,
M = $3,750.04
Therefore, John will be be repaying $3,750.04 monthly including principal and interest
Read more on simple interest:
brainly.com/question/20690803
#SPJ1
