The function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x
<h3>Reflection of functions and coordinates</h3>
Images that are reflected are mirror images of each other. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their position. In a similar manner, when a point is reflected across the line y = -x, the coordinates <u>changes position but are negated.</u>
Given the exponential function below
f(x) = 5(0.8)^x
If the function f(x) is reflected over the x-axis, the resulting function will be
-f(x)
This means that we are going to negate the function f(x) as shown;
f(x) = -5(0.8)^x
Hence the function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x
Learn more on reflection here: brainly.com/question/1908648
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36 and 48
a = b+12
a+b = 84
(b+12) + b =84
2b +12 = 84
2b = 72
b= 36
a = b + 12
a = 36 + 12
a = 48
Answer:
x = 13
39° and 51°
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
This is a right angle triangle, so one side has a size of 90 degrees.
3x + 4x - 1 + 90 = 180
7x + 89 = 180
7x = 91
x = 91/7
x = 13
Put x as 13 to work out the size of the angles.
3(13) = 39
4(13) - 1
52 - 1 = 51
