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:
The probability of losing weigth given that the sandwich was ordered is 80%.
Step-by-step explanation:
The probability of a regular costumer ordering the sandwich is said to be 50% and the probability of someone ordering that sandwich and losing weight is 40%. So we the probability of someone losing weigth if the sandwich was ordered is:
sandwich and losing weigh = (ordering sandwich)*losing weigth
losing weigth = (sandwich and losing weigth)/(ordeing sandwich)
losing wiegh = 40%/0.5 = 80%
The probability of losing weigth given that the sandwich was ordered is 80%.
Answer:
The area of the base B is equal to 
The volume is equal to 
Step-by-step explanation:
I will proceed to resolve the problem indicated in the attached figure.
The figure shown a inverted rectangular pyramid
The base is a rectangle
The area of the base B is equal to
To find how many cubic centimeters of titanium are needed to manufacture one tip, calculate the volume of the figure
<em>Find the volume of the inverted rectangular pyramid</em>
The volume of the pyramid is equal to
we have
substitute
Answer:
He makes 8 specialty pizzas
Step-by-step explanation:
3/2=12/x
3x=24 (by using cross multiplication )
x=8
hope this helps :D
Answer:
1. 
2. 
3. 
4. 
Step-by-step explanation:
Given
Dexter
Lena
Solving (1): Write as ratio
Represent Science Fiction with S and History with H
For Dexter;
Solving (2): Write ratio as fraction
Solving (3): Write as a common denominator
Multiply by 
Multiply by 
Solving (4): Compare both fractions
By comparison;
is greater than 
So, we have:
