The percentage rate of increase is 36.2% and the exponential function represent the growth.
<h3>What is an exponential function?</h3>
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent 
where 'a' is a constant and a>1
We have exponential function:
If we compare with
If 1+r > 1
1.362 > 1
So the growth rate r is
1 + r = 1.362
r = 0.362
r = 0.362×100
r = 36.2%
Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.
Learn more about the exponential function here:
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Step-by-step explanation:
First, find the zeroes of the parabola
So the zeroes or where the curve crosses the x axis is at 4 and -3.
Now, we take the derivative of the function.
Plug in -3, and 4 into the derivative function
So at x=-3, our slope of the tangent line is -7 and must pass through (-3,0). So we use point slope formula.
At x=4, our slope of tangent line is 7, and pass through (4,0) so
So the equations of tangent is
Answer:
45 m
Step-by-step explanation:
<h3>Given</h3>
<u>Function to produce the stone's height</u>
Maximum value the given function can get is at (x - 1) = 0 ⇒ x = 1
because the -5(x - 1)² can get maximum value of zero as the square of any number is zero or positive
<u>So maximum height is </u>
Solve for y.
subtract 4x from both sides
-2y = -4x + 10
divide everything by -2
y = 2x - 5
slope intercept form is y = mx + b, with m being the slope, so 2 is your slope
Reflectional symmetry is the mirror image of one side of image to the other when we divide the image. In other words it is one half of image is the reflection of other half of image.
In isosceles trapezoid, the length of the sides are same . the bases are not same.
When we draw a vertical line in the middle of isosceles trapezoid, the left side of the image is the reflection of right side .
So there is only one line of reflection symmetry.
