Mauro has 140 ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the sho
2 answers:
Answer:
The length of the longer piece is 35 feet.
Step-by-step explanation:
Let the length of the longer piece is x
Hence, length of the shorter piece is 3x
Now, the length of the rope is 140 ft. Thus, we have the equation
Add the like terms.
Divide both sides by 4
Therefore, the length of the longer piece is 35 feet.
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Answer:f(x)= -8 (4x) will be the reflected function across x-axis for the function g(x).
Explanation: since we know that the image or reflection of x along x-axis = -x
That is, when we talk about a function's reflection across any axis then we have to replace variable according to that axis. For example if you have a line x=3 in positive x-axis then you can also draw a similar line x=-3 in negative x-axis. so, you can say, x=-3 is the reflection of x=3 along x axis.
Similarly, for an another line y=3, y=-3 is a reflection.
thus in the case of g(x) we can find the reflection across x-axis after replacing x by -x.
we have g(x) =8(4x)
replace x by -x we get g(-x)= 8(4×-x)= 8(-4x)=-8(4x)
so -8(4x) is the reflection of g(x)
but according to the question f(x) is the reflection of g(x) across x-axis.
Thus, f(x)=-8(4x)
