What is the mode of this data set 55 78 43 39 78 61 75 50 43 78
1 answer:
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Answer:
Step-by-step explanation:
Isolate x on one side of the equation.
Find the value of x.
First, multiply -1 from both sides.
(-3/4x)(-1)<12(-1)
Solve.
12(-1)=-12
3/4x<-12
Next, multiply 4 from both sides.
4*3/4x<4(-12)
Solve.
Multiply the numbers from left to right.
4(-12)=-48
3x<-48
Then, divide by 3 from both sides.
3x/3<-48/3
Solve.
Divide the numbers from left to right.
-48/3=-16
X<-16
The correct answer is x<-16.
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) .