Step-by-step explanation:
This rule states that the same value can be added to both sides of an equation without interfering with the solving process of the equation
To calculate the volume of a prism you multiply the area of it's cross section by the length
Therefore
5 x 3= 15
(Area of the rectangle)
15x8= 120
(Volume of prism)
Answer:

Step-by-step explanation:
*Move terms to the left and set equal to zero:
4㏒(√x) - ㏒(3x) - ㏒(x²) = 0
*simplify each term:
㏒(x²) - ㏒(3x) - ㏒(x²)
㏒(x²÷x²) -㏒(3x)
㏒(x²÷x² / 3x)
*cancel common factor x²:
㏒(
)
*rewrite to solve for x :
10⁰ = 
1 = 
1 · x =
· x
1x = 
*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:
x = 
Answer:
y=3(x-9)^2+4
Step-by-step explanation:
To move a parabola horizontally to the right, subtract 9.
To move it upward 4 units, you simply have to add 4.
These do not change the characteristics of the shape. I suggest looking at a set of rules that affect how the parabola moves horizontally and vertically.
Answer:
$54
Step-by-step explanation:
Price of jacket = $75
Markdown = 33.33...%
Sales tax = 8%
First we have to find the price of the jacket after the markdown.
75-33.33(75)
75-(25)
50
New price of jacket = $50
Now to calculate the price with sales tax.
50+0.08(50)
50+(4)
54