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:
D would be equal to 64
You just need to multiply 32 by 2
Answer:
1. 37° 2. 140
Step-by-step explanation:
They are supplementary angles, so the angle measures equal a straight line, or 180 degrees. 180 - 143 = 37
Answer:
The equation of the line of best fit is: y = -2.33x + 591.78
The correlation coefficient is: -0.99
There is a strong negative correlation
Step-by-step explanation:
The negative correlation is seen in the sign of the correlation coefficient, which is negative.
The correlation is strong because the absolute value of the correlation coefficient (0.99) is near to one
