Answer:
a. The surface area is
b. The radius is 8 cm
Step-by-step explanation:
The surface area of a beachball is modeled by the function
Where x is the radius of the beachball.
It's given that a beachball of radius 12 cm has a surface area of
This information will allow us to find the value of a by substituting in the model:
Dividing by 144:
a = 1809.56/144
a = 12.57
The model is now:
Now we can solve parts a and b:
a . Find the surface area of a beachball of radius x=15 cm
The surface area is
b. Find the radius of a beachball with a surface area of
We need to solve:
Dividing by 12.57:
Thus:
x=8 cm
The radius is 8 cm
So we have 2 variables here: tacos and orders of nachos.
When we translate the paragraphs into equation:
Now, in this situation we can make use the elimination method by converting 3n to -27n.
Add both equations:
So we find that one taco costs $2.75.
We can plug this into any of the first two equations to find n:
So one order of nachos cost $1.40.
Answer:
12 km
Step-by-step explanation:
0.10 km = 1 minute
X = 120 minutes
(0.10)*(120) = 12
If f(x) is the inverse of g(x), then f(g(x))=f(g(x))=x
or we can do it the hard way and solve for the inverses (I'm too lazy to do that)
I'm assuming you means g(x)=(x-4)/2
so
show that f(g(x))=g(f(x))=x
first do f(g(x))
f(g(x))=2((x-4)/2)+4
f(g(x))=x-4+4
f(g(x))=x
g(f(x))=(2x+4-4)/2
g(f(x))=(2x)/2
g(f(x))=x
both equal x and x=x so f(g(x))=f(g(x))=x
they are iinverses
if you did want to solve then
do, f(x)=y, then swtich all x and y then solve for x
example
f(x)=2x+4 then y=2x+4 then x=2y+4 then x-4=2y then (x-4)/2=y=g(x)
then reverse it to get the other inverse thing
Given that the lead actor is 5 feet 9 inches tall, converting this to meters we shall have:
1 ft = 0.3048 m
therefore 5 ft will be:
(5/1)×0.3048
=1.524m
next:
1 in = 0.0254 m
therefore 9 inches will be:
(9/1)×0.0254
=0.2286 m
hence; 5 ft 9 inches will be equivalent of:
(1.524+0.2286) m
=1.7526 m