The exponential equation is 
<h3>How to determine the equation?</h3>
An exponential function is represented as:
The base is 3.
So, we have:
It is stretched vertically by 2/3.
So, we have:
When reflected over the y-axis, we have:
An asymptote of y = 2, makes the function becomes
Lastly, it passes through the point (0, 3.5).
So, we have:
This gives
Subtract 2 from both sides
Multiply by 3/2
Take the logarithm of both sides
log(2.25) = h * log(3)
Solve for h
h = 0.74
Substitute h = 0.74 in
Hence, the exponential equation is
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The radius of the circle is 81.78
Answer:
4(t+25) = (t+50) - 4 (0.15t)
4t + 100 = t + 50 - 0.6t
4t + 100 = 50 + 0.4t
4t - 0.4t + 100 = 50 + 0.4t - 0.4t
3.6t + 100 = 50
3.6t + 100 - 100 = 50 - 100
3.6t = -50
3.6t / 3.6 = -50 / 3.6
t = - 13.9
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The lines for the given statements can be plotted as shown below.
<h3>What is the equation of a line?</h3>
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is y-intercept.
The lines for the given statements can be plotted as shown below.
The coordinate grid can be filled as,
1)
x 0 3 1
y 3 0 2
2.)
x 0 1 -1
y 1 0 2
3.)
x 0 4 -1
y -2 0 2
4.)
x 0 1 1
y -2 0 -2
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Answer:
(2,2)
Step-by-step explanation:
(5+(-1))/2. (8+(-4))/2
4/2 4/2.
(2,2)
