Answer:
Table C
Step-by-step explanation:
Given
Table A to D
Required
Which shows a proportional relationship
To do this, we make use of:
Where k is the constant of proportionality.
In table (A)
x = 2, y = 4
x = 4, y = 9
Both values of k are different. Hence, no proportional relationship
In table (B)
x = 3, y = 4
x = 9, y = 16
Both values of k are different. Hence, no proportional relationship
In table (C):
x = 4, y = 12
x = 5, y = 15
x = 6, y = 18
This shows a proportional relationship because all values of k are the same for this table
Answer:
f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.
Step-by-step explanation:
The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.
* if x>1, then x-1>0.
* Also since the parabola opens up, then y>5.
So let's solve y=(x-1)^2+5 for x.
Subtract 5 on both sides:
y-5=(x-1)^2
Take square root of both sides:
Plus/minus sqrt(y-5)=x-1
We want x-1>0:
Sqrt(y-5)=x-1
Add 1 on both sides:
Sqrt(y-5)+1=x
Swap x and y:
Sqrt(x-5)+1=y
x>5
y>1
Answer:
Where T is the hight temperature and t is the day
Explanation:
The table shows that every day the<em> High temperature, T (degrees F) </em>increases 1 unit.
Then, this is a linear function with slope = 1ºF / day.
You can use the point-slope equation to determine the <em>function of the high temperature:</em>
- Choose any point from the table and m = 1. I will use the first point (1,95)
Substitute:
Make the variables y = T, and x = t:
Step-by-step explanation:
Below is an attachment containing the solution.
