g(x) = (1/4)x^2 . correct option C) .
<u>Step-by-step explanation:</u>
Here we have ,
and we need to find g(x) from the graph . Let's find out:
We have ,
. From the graph we can see that g(x) is passing through point (2,1 ) . Let's substitute this point in all of the four options !
A . g(x) = (1/4x)^2
Putting (2,1) in equation g(x) = (x/4)^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
B . g(x) = 4x^2
Putting (2,1) in equation g(x) = 4x^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
C . g(x) = (1/4)x^2
Putting (2,1) in equation g(x) = (1/4)x^2 , we get :
⇒ 
⇒ 
Hence , right equation !
D . g(x) = (1/2)x^2
Putting (2,1) in equation g(x) = (1/2)x^2 , we get :
⇒ 
⇒ 
Hence , wrong equation !
Therefore , g(x) = (1/4)x^2 . correct option C) .
Answer:
Your number is -10
Hope this helps :)
Step-by-step explanation:
Let x be the number
Twice a number is 2x
Added to 7 means + 7 so 2x + 7
Is means =
2x+7=
At this point I have to assume you mean
"is the same as three subtracted from THE SAME number"
Otherwise, rather than a number, we end up with the
equation of a line....
2x + 7 = x - 3 subtract x from both sides
x + 7 = -3 subtract 7 from both sides
x = -10
Your number is -10
Check: 2x+7 = x-3
2(-10) + 7 = -10-3
-20+7 = -13
-13 = -13
The answer fits the parameters of the problem.
$54.80 is the correct answer
1 revolution = circumference of the wheel = pi * diameter
= 3.14 * 7 inch
so 100 revolution = 100 * 3.14 * 7 = 2198 inches
= 2198 / 12 = 183.17 feet