Answer:
(n + 1)(3n + 7)
Step-by-step explanation:
3n² + 10n + 7
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × 7 = 21 and sum = + 10
The factors are + 3 and + 7
Use these factors to split the n- term
3n² + 3n + 7n + 7 ( factor the first/second and third/fourth terms )
3n(n + 1) + 7(n + 1) ← factor out (n + 1) from each term
= (n + 1)(3n + 7) ← in factored form
10x -15y=45
9x+15y= 12
19x= 57
x= 3
3(3)+5y= 4
9 + 5y = 4
5y = -5
y = -1
(3,-1)
Answer:
the middle sequentially in a list of numbers (sorted from lowest to highest)
Step-by-step explanation:
for example, in the dataset 2, 4, 6, 8, 10, 6 would be the median because it is in the middle when sorted properly
Expand
Rewrite as:
Apply law of indices
Expand
Apply negative power rule of indices
Expand
Expand
Evaluate like terms
Factor out x^2
Factor out -2
Divide by y
Split
Rationalize
Rationalize
Apply different of two squares to the denominator
Simplify
Expand
Split
Evaluate all roots
Expand
Factorize each
Factor out (r+3) in the numerator and (r + 6) in the denominator
Cancel out r - 2
Cancel out x
Expand the numerator of the 2nd fraction
Factorize
Factor out x - 7
Factor out 4 from 4x + 8
Cancel out x + 2
Factorize
Cancel out 3x
Take LCM
Expand
Rewrite as:
Express as multiplication
Express y^2 - 9 as y^2 - 3^2
Express as difference of two squares
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Answer:
$407.34
Step-by-step explanation:
1. Find the discount. This can be done by multiplying the original cost by the discount percentage.
678.90 x 40% = $271.56
2. Subtract the amount of the discount from the original price.
$678.90-$271.56 = $407.34
The new price is $407.34