To write an expression that shows 9 * 475 multiply using expanded form an distributive property we break 475 into three numbers
475 can be break into 400 + 70 + 5
Now we multiply by 9
9 x 475
9 x (400 + 70 + 5) (expanded form of 475)
We use distributive property here.
We distribute 9 inside the parenthesis
9 x 400 + 9 x 70 + 9 x 5
3600 + 630 + 45
4,275
B and C are the correct answers
Answer:
C). 9
Step-by-step explanation:
Given: f(x) = 8(x - 4) - 18
If f(x) = 22;
8(x - 4) - 18 = 22
8x - 32 - 18 = 22
8x - 50 = 22
8x = 22 + 50 = 72
x = 72 ÷ 8 = 9
Answer:
5670 cm^3 or 5670cm cubed
Step-by-step explanation:
Original sides-
12, 15, 18
After increasing by 3-
15, 18, 21
Finding the volume of a rectangular prism is length*width*height.
=15*18*21
=270*21
=5670
Therefore, the volume of the new prism is 5670cm cubed.
Hope this helped^^
Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²