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desdes1499
07.03.2020 •
Mathematics
1.What is the greatest common factor of the polynomial's terms?
9r5s + 6r4s2 − 12r2s
2.Factor out the GCF.
Please help I need help with number two I know number one is 3r^2s • (3r^3 + 2r^2s - 4)
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Ответ:
Step-by-step explanation:
Write the prime factorization of each term:
9r⁵s = 3²·r⁵·s
6r⁴s² = 2·3·r⁴·s²
12r²s = 2²·3·r²·s
The greatest common factor is the product of the common factors at the lowest exponents.
All three terms are multiples of 3, r, and s.
The lowest exponent of 3 is 1. The lowest exponent of r is 2. The lowest exponent of s is 1.
GCF = 3r²s
Factor from the polynomial.
9r⁵s + 6r⁴s² − 12r²s
3r²s (3r³ + 2r²s − 4)
Ответ:
(3) (r^2) (s) ( 3r^3 + 2r^2s - 4)
Step-by-step explanation:
For clarity please use " ^ " to indicate exponentiation:
9r5s + 6r4s2 − 12r2s => 9r5s + 6r^4s^2 − 12r^2s
Next, look at the numerica coefficients 9, 6 and -12. What is the largest divisor that goes into each evenly? 3.
Similarly, ask yourself what the largest possible r and s factors divide into 9r5s + 6r^4s^2 − 12r^2s evenly: r^2 and s.
Then 9r5s + 6r^4s^2 − 12r^2s = (3) ( 3r^5s + 2r^4s^2 - 4r^2s )
Factoring out r^2: (3) (r^2) (3r^3s + 2r^2s^2 - 4s )
Factoring out s: (3) (r^2) (s) ( 3r^3 + 2r^2s - 4)
Ответ:
Complete question :
Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.17x + $15.89. How much did Hans pay for his trip?
$92.39
Step-by-step explanation:
Given that:
Total distance = 450 miles
Amount charged for fees and taxes = $15.89
Amount charged ti redeem each mile = $0.17
In the equation:
Y = $0.17x + $15.89
X = distance Hans is flying
Y = cost of trip
Y = $0.17(450) + $15.89
Y = $76.50 + $15.89
Y = $92.39