Answer:
12c square meters
Step-by-step explanation:
We know that
Area of a rectangle = length (L)× width(w)
Here it is given that length ,and width of the rectangle is 6c meters and 2 meters respectively.
Therefore, required area of the rectangle = 6c × 2 = 12c square meters.
Answer:
Write the problem as a mathematical expression.
y=−x²+18x−72
Rewrite the equation in vertex form.
y=−(x−9)²+9
Use the vertex form, y=a(x−h)2+k , to determine the values of a, h, and k.
a=−1
h=9
k=9
Find the vertex (h,k).
(9,9)
Good Luck !
Step-by-step explanation:
Use mental calculation. Do working in your head
f (x ) = 2 x + 5
For g (x) we will solve the system:
- 1 =-2 m + b
+
-9 = 2 m + b
----------------------
-10 = 2 b, b = -5
-9 = 2 m - 5
2 m = -4
m = -2
g ( x ) = - 2 x - 5
For h (X):
m = (-1-5 ) / ( 3-0 ) = -6/3 = -2
5 = 0 + b, b = 5
h ( x) = - 2 x + 5.
Now we have 4 linear functions:
1 ) f ( x ) = 2 x + 5
The slope is m = 2, y - intercept: y = 5 , zero: x = -2.5 and the function increases ( m > 0 ).
2 ) g(x) = - 2 x - 5
The slope is m = - 2, y-intercept: y =-5 , zero: x = -2.5 and the function decreases ( m < 0 ).
3 ) h ( x ) = - 2 x + 5
The slope is m = - 2, y - intercept . y = 5, zero: x = 2.5 and the function decreases.
4 ) j (x) = 2 x + 5
The slope is m = 2, y -intercept: y = 5, zero: x = -2.5 and the function decreases.
The functions f( x ) and j ( x ) are parallel and also g( x ) and h ( x ). They have the same slope.
The functions f ( x ) and j (x ) are increasing and h ( x ) and h ( x ) are decreasing.
Since there is no way to determine what is asked from the given above, I assumed that it is the total earning from the sales of the aluminum cans. To answer, multiply the mass of aluminum cans in kilograms to the price of 1 kilogram of cans. Example, if there are x kilograms of aluminum cans, the total earning would be $0.002x.
