Answer: 
Step-by-step explanation:
(3x^2+x-1)(x^4-2x+1)
=3x^6-6x^3+3x^2+x^5-2x^2+x-x^4+2x-1
=3x^6+x^5-x^4-6x^3+x^2+3x-1
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Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
b
<
4.541
¯
6
b
<
Interval Notation:
(
−
∞
,
4.541
¯
6
)
The equation to model this would be 65 = 11r + 9s.
In this equation, we know that the total number he works is 65. We also know he burns 11 every time he runs for an hour. Therefore we can multiply 11 by r. We also know he burns 9 for every hour he spends swimming. Therefore we can multiply 9 by s.
When we put all three of these things together, we get 65 = 11r + 9s.
Answer:
..... surface area = 16 km^2.
Step-by-step explanation:
If Q is the midpoint of PR
Then PQ + QR = PR
(6x + 25) + (16 - 3x)
group the same terms and add them
(6x - 3x) + (25 + 16)
Hence PR = (3x + 41)
But to find the value of PR....If Q is the midpoint....then PQ = QR...since they are both half lengths of PR;
; 6x + 25 = 16 - 3x
; 6x + 3x = 16 - 25...;9x = -9
Hence the value of...x = -1
Then substitute the value of x into the equation of PR....3x + 41
;3(-1) + 41
;-3 + 41
Hence PR = 38