Answer:
5 per noun, 8 per verb
Step-by-step explanation:
start by defining what each variable is
v = n+3
v = 2n-2
substitute v for one of the equations above
n+3 = 2n-2
subtract n from both sides
3 = n-2
add 2 to each side
5 = n
so there are 5 flashcards per noun
substitute 5 in for n in both equations
v = 5+3
and
v = 2(5)-2
solve both equations
v = 8 and v = 8
so there are 8 flashcards per verb
Three pounds is less than 50 ounces. 3 pounds =48 ounces
To find the tax you first move the decimal place 2 places to the left giving you the exact percent in decimal form. .075 is the correct decimal for this percent. You then multiply that percent by the cost of the product. (125) After multiplying you get the product $9.375. Then you round to the nearest tens place giving you $9.38
The hypotenuse is always the longest side, and it is always opposite the right angle.
"Leg" is not a mathematical term. If it is being used to refer to one of the sides forming a right angle, the hypotenuse is not a "leg".
Answer:
(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.
Explanation:
1) Given equation:
3 5x x + 2
- ------- + -------- = ---------------
x + 2 x - 1 x² - 3x + 2
2) So, the denominators are x + 2, x - 1, and x² - 3x + 2
3) The LCD is the product of the common and non common factors raised to the greatest power.
4) x + 2, and x - 1 are already prime factors
5) Factor x² - 3x + 2
x² - 3x + 2 = (x - 2)(x - 1)
6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)
7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.
