Answer:x = 9/16
Step-by-step explanation:
2x + 3 = 6x - 4
/3
First you gotta get rid of the divided by 3
2x / 3 = 2/3x and 3 / 3 = 1
Now you have
2/3x + 1 = 6x - 4
Second you have to get rid of the 2/3x on the left side
2/3x + 1 = 6x - 4
-2/3x -2/3x
1 = 5 1/3x - 4
Third you have to get rid of the -4
1 = 5 1/3x - 4
-4 -4
-3 = 5 1/3x
Fourth you have to divide by 5 1/3
-3 = 5 1/3x
/ 5 1/3 / 5 1/3
x = 9/16
Given:

To find:
The correct function.
Explanation:
Let us consider the function given in option D.

Differentiating with respect to x we get,

Substituting x = 2 in the function f(x), we get

Therefore, the given conditions are satisfied.
So, the function is,

Final answer: Option D
The perimeter is 20 units
Step-by-step explanation:
The end-point of a side of square can be used to calculate length of a side. And the side will be used to calculate the perimeter.
Given
(3,-1) and (7,2)
Let
(3,-1) = (x1,y1)
(7,2) = (x2,y2)
We have to calculate the distance
The formula for distance is:

Let s be the side of a square
then,

The side of square is 5 units. Then,

The perimeter is 20 units
Keywords: Perimeter, Square
Learn more about perimeter at:
#LearnwithBrainly
Answer:
$47
Step-by-step explanation:
Given: Store manager have predicted that 150 blanket can be sold at $32 each.
Also he has predicted sales of 2 blanket will decrease with $1 increase in price.
Now, finding price at which 120 blanket can be sold.
As we know cost of 150 blanket is $32 and we are finding for 120 blanket, which mean we have to increase price to decrease sales.
∴ 
Using unitary method to find correct price.
For 2 decrease in sales = $1 increase in price
∴ 30 decrease in sales of blanket = $15 increase in price
Next, price of 120 blanket = 
Price\ of\ 120\ blanket = 
∴ $47 should be the price for at least 120 blanket to be sold.