The function which represents the reflection of provided function across the x-axis is,
![g(x) = -5(0. 8)x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-5%280.%208%29x)
<h3>What is reflection of function?</h3>
The reflection of a function is flipping the original function with respect to a reference line.
The following steps used to for reflecting a the function-
- Select the function which has to be reflected.
- Select a baseline or reference line over which the function has to be reflected.
- Mark the corners of the function at the equidistant from the reference line as the original function has, but in the opposite direction.
- The reflected function is now is facing the opposite direction.
The function given in the problem is,
![f(x) = 5(0. 8)x](https://tex.z-dn.net/?f=f%28x%29%20%3D%205%280.%208%29x)
The function has the positive sign. Therefore, this function is located in the first quadrant.Now this function is reflected across the x-axis. This will lead this function in the fourth quadrant, with negative sign.
Therefore, the function become,
![g(x) = -5(0. 8)x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-5%280.%208%29x)
Hence, the function which represents the reflection of provided function across the x-axis is,
![g(x) = -5(0. 8)x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-5%280.%208%29x)
Learn more about the reflection here;
brainly.com/question/1908648
Answer: Alvin = 42 yrs , Elga = 21 yrs
Step-by-step explanation:
Let Elga's age be x , and Alvin's age be y ,since Alvin is two times Elga's age , then
Alvin's age = 2x , that is
y = 2x ............... equation 1
The sum of their ages is 63 implies
x + y = 63 .............. equation 2
Solving the resulting linear equations by substitution method.
Substitute equation 1 into equation 2 , we have
x + 2x = 63
3x = 63
x = 63/3
x = 21
Therefore : Elga is 21 years old , then Alvin will be 21 x 2, which will be 42
Answer:
![\sqrt{13}](https://tex.z-dn.net/?f=%20%5Csqrt%7B13%7D%20)
Step-by-step explanation:
A(4;1) B(1;3)
●use distance formula (see photo^)
Answer:
about 28.8 ft.
Step-by-step explanation:
Answer:
5 < x < 13
Step-by-step explanation:
9+4 > x
4 + x > 9