To convert a quadratic<span> from y = ax</span>2<span> + bx + c </span>form<span> to </span>vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2<span> - 4x + 5 into</span>vertex form<span>, and state the </span>vertex<span>.
Mark me as brainliest if I helped:)</span>
Answer:
A)
Decay
B)
Initial value is 5.
C)
The decay factor is 0.75.
D)
75%
Step-by-step explanation:
An exponential function is given by:
Where a is the initial value and r is the rate.
We have the function:
So, a = 5 and r = 1/4.
A)
Remember the guidelines:
- It is exponential growth if r > 1.
- And it is exponential decay if r < 1. (And r must be positive.)
Our rate is 1/4 or 0.25.
It is less than 1, so our function is exponential decay.
B)
The initial value is the value in front of our rate.
So, our initial value in this case is 5.
C)
The decay factor will be 1 - r, where r is our rate.
Since our rate is 0.25, our decay factor is 1 - 0.25 = 0.75.
So, we are decaying by a factor of 0.75.
D)
To convert a decimal to a percent, we move the decimal dot two places to the rght and add a percent sign.
So, 0.75 will be 75.0 % or smply 75%.
It is a 75% decay.
The angle of elevation of the sun from the ground to the top of a tree is 36 degrees
<h3><u>Solution:</u></h3>
Given that a tree that is 10 yards tall cast a shadow 14 yards long
To find: angle of elevation of sun
The figure is attached below
In the figure, AB represents the height of tree
BC represents the length of shadow cast by tree
We have to find angle of elevation θ
Now by using trignometric identity,
From the figure,
AB = Perpendicular = 10 yards
BC = Base = 14 yards
Thus the angle of elevation of sun from ground to top of tree is 36 degrees
It equals 2.5% so not even close to uh our desired amount
Answer:
C
Step-by-step explanation:
93/35= 2.657
100/2.657= 37.636
round up