Answer:
1. 5040
2. 20
Step-by-step explanation:
1. using the formula for permutation
nPr=n!/(n-r)!
10P4 = 10!/(10-4)!
=10*9*8*7*6!/6!
then we are left with
=10*9*8*7
=5040
2.using the formula for combination
nCr=n!/(n-r)!r!
6C3=6!/(6-3)!3!
=6*5*4*3!/3!3!
=6*5*4/3*2*1
=20
Answers:
- C) Factored form
- C) Standard form
- D) The y intercept is -8
- B) Two solutions: x = -5 or x = 5
- B) Apply square root to both sides
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Explanations:
- For problems 1 and 2, there's not much to say other than you'll just have to memorize those terms. Standard form is ax^2+bx+c in general. The exponents count down 2,1,0. Factored form is where we have two or more factors multiplying with each other. Think of something like 21 = 7*3 showing that 7 and 3 are factors of 21.
- For problem 3, the y intercept is the last value. It's the constant value. Plug in x = 0 and you'll get y = -8 as a result. The y intercept always occurs when x = 0.
- In problem 4, we apply the square root to both sides to get x = -5 or x = 5. The plus or minus is needed. This is because (-5)^2 = 25.
- In problem 5, we apply the square root to both sides to undo the squaring operation.
The number of books sold is 473.
<u>Step-by-step explanation:</u>
- The original cost of each book = $0.64
- The selling price of each book = $0.75
The difference between the original price and selling price of the book gives the profit per book.
The profit of one book = Selling price - Original price
Let,
- The total number of books be 'x'.
- The number of books sold be 'y'.
- The unsold books is 100.
- The total profit is -12 because it was gone to a loss of $12.
Therefore, the equation is formed as
total Profit = 0.75y - 0.64x
⇒ 0.75y - 0.64x = -12 --------(1)
Total books = sold books + unsold books
x = y + 100
⇒ x-y = 100 -------(2)
Substitute x= 100+y in the eq(1),
0.75y - 0.64(100+y) = -12
0.75y - 64 -0.64y = -12
0.11y = -12 +64
y = 52 / 0.11
y = 472.7
y ≅ 473
The number of book sold is 473 books.
The total number of books is (100+473) = 573 books.
Answer:
u have to drop 18 pionts .
Step-by-step explanation:
Answer:
4.4
4.40
Step-by-step explanation:
These two decimals above are equivalent to 4.400 because no matter the amount of zeroes, the numbers are the same. For example, 4.400 is also equivalent to 4.400000000000000000000000000000000. As long as the "4's" maintain the same place (ones place and tens place), the decimals will be congruent to one another.
