Answer:
x+5
Step-by-step explanation:
X= the number
x+5= 5 more than the number (represented by x)
Answer:
see below
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
FOIL
8(n^2 +2n+4n+8) = 1144
Divide each side by 8
8/8(n^2 +2n+4n+8) = 1144/8
(n^2 +2n+4n+8) = 143
Combine like terms
n^2 +6n+8 = 143
Subtract 143 from each side
n^2 +6n+8 -143= 0
Combine like terms
n^2 +6n -135 =0
Factor
What two terms multiply to -135 and add to 6
-9*15 =-135
-9+15 = 6
(n-9) (n+15) =0
Using the zero product property
n-9 =0 n+15=0
n = 9 n=-15
The length cannot be negative so n = -15 cannot be a solution
n =9
Answer:
To create function h, function f was translated 2 units right
, translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is 
So, we have:
Next: f'(x) was translated up by 4 units
The rule of down translation is 
So, we have:
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: 
So, we have:
![h(x) = -[(x+2)^3 + 4]](https://tex.z-dn.net/?f=h%28x%29%20%3D%20-%5B%28x%2B2%29%5E3%20%2B%204%5D)
Remove bracket
Answer:
The dependent variable is number of calories burnt.
Step-by-step explanation:
The dependent variable of an experiment is the variable under study, i.e. it is the variable that is being observed for any changes, when the other variables are changed.
The independent variable is the variable that is being altered to observe the changes in the dependent variable.
A dependent variable can be affected by one or more than one independent variables.
In this case, the data provided represents the number of calories Maggie burned based on the number of miles she ran.
So, the amount of calories burnt is dependent upon the number of miles covered running.
So, the dependent variable is the number of calories burnt and the independent variable is the number of miles she run.
Thus, the dependent variable is number of calories burnt.
