Answer:
x = -4, 2.5
Step-by-step explanation:
To find the solution, look for the points where the line crosses the parabola. As this question only asks for the x-values, find the distance to the left and right of the y-axis. Here, it's -4 on the left and 2.5 on the right.
Answer:
(1,-5)
Step-by-step explanation:
Answer:
First angle is 3 degree
Second angle is 87 degree
Step-by-step explanation:
Let's assume
second angle is x
we are given
one angle is twenty-nine times the other angle
so, first angle is

we know that these two angles are complementary
so, the sum of their measures is 90
First angle + second angle =90



now, we can find second angle
Second angle is


So,
First angle is 3 degree
Second angle is 87 degree
Answer:216
Step-by-step explanation:
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.