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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Answer:
2/3, 5/7, 3/4, 5/6.
Step-by-step explanation:
Convert each one to a decimal fraction:
3/4 = 0.75
2/3 = 0.666..
5/6 = 0.8333..
5/7 = 0.714
So least to greatest is
2/3, 5/7, 3/4, 5/6.
Length X width = area. for this problem, just divide the area of 756 sq. inches by the length of 108 in. to find the width.
Answer:
x=-10
Step-by-step explanation:
the picture is showing
1+1= -1 + -1 + -1 + -1 + -1 + -1 + -1 + -1 + -x
simplified its:
2= -8 + -x
I think that the answer is x=-10 cuz if u did -8 - -10 then the two negatives make a positive and it makes 2 but idk if the minus sign before the x means minus or negative so this might be the answer but dont blame me if im wrong. I warned you. If its right plz write that.
Answer:
y = 2x -33
Step-by-step explanation:
The line segment from the center (6, 4) to the given point (16, -1) is a radius of the circle. It is perpendicular to the tangent. Hence you need to write the equation of a line through point (16, -1) that is perpendicular to the line through that point and (6, 4).
The slope of the radius is ...
... ∆y/∆x = (-1-4)/(16-6) = -5/10 = -1/2
The slope of the tangent is the negative reciprocal of that, so is ...
... m = -1/(-1/2) = 2
In point-slope form, the tangent line through (16, -1) is
... y = m(x -h) +k
... y = 2(x -16) +(-1)
Simplifying, this is ...
... y = 2x -33