[] signs mean that the number is included in the domain and () mean that the number is not included. Now,
1. [-1,5)
Because x is greater than or equal to -1 (included) but less than 5 (excluded
2. [-5,13)
When we plug in x = -1, we get the minimum value of -5, which is included because its x-value was included. The, we plug in x = 5 to find the range's maximum and this is excluded because its x-value was excluded.
3. 218
x = 6 lies in the domain of the first function so we will use it to evaluate the value of x = 6. We do this by simply substituting x into the function.
4. 12
x = 9 is included in the domain of the second function and the value of the second function at all points is 12.
5. 103
x = 10 is included in the domain of the second function so we will use it to evaluate the value of x = 10. This is done by substituting x into the equation.
<span>x cubed +3x squared - 4x= 0
= x^3 + 3x^2 -4x = 0
=x(x^2 +3x -4) = 0
= x (x+4)(x-1) = 0
x = 0
x+ 4 = 0 then x = -4
x - 1 = 0 then x = 1
answer: x = 0, x = -4 and x = 1</span>
Step-by-step explanation:
To find her walking pace in 'miles per hour', we need to divide the distance (in miles) by the time (in hours)
speed
=
distance
time
The time is given in minutes, but
50
minutes =
50
60
hours
=
5
6
hours
1
2
3
÷
5
6
=
5
3
×
6
5
miles per hour
=
5
3
×
6
2
5
=
2
miles per hour
The equation of the rotating light is an illustration of a secant function
The equation that represents the distance between the center of the circle and the light source is 
<h3>How to determine the equation</h3>
The equation is a secant function represented by
Where:
A represents the amplitude
So, we have:
--- the distance of the light from each square wall
B represents the period, and it is calculated as:
The light completes its full rotation every 6 seconds.
This means that,
T = 6
So, we have:
Simplify
Substitute values for A and B in
Rewrite as a function
Hence, the equation that represents the distance between the center of the circle and the light source is
Read more about trigonometry functions at:
brainly.com/question/1143565
Answer: Unit rates are the factor that takes you from one column to the other column in a table of equivalent ratios. Equivalent ratios have the same unit rates.
Hope this helps!
