Amal used the tabular method to show her work dividing -2x3 + 11x2 – 23x + 20 by x2 – 3x + 4.
Amal's Work:
Quotient
2x
+ 5
x2 -2003 5x2
6x² + 5x²= 11x2
Divisor
3x 6,2
-15x
-8x + (-15x) = -23x
+4
-8x
20
Amal's
-2x3 + 11x2 – 23x + 20
= 2x + 5
x² – 3x+ 4
Which statement about Amal's work is true?
Amal's work is correct.
Amal's work is incorrect the wrong divisor is on the right side of the division table.
Amal's work is incorrect because it includes a positive two instead of negative two in the answer.
Amal's work is incorrect because the like terms in the division table do not simplify to the original polynomial.

Solved

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Ответ:

bunn95

11.04.2023

Mathematics

$589.33\ mph$

Step-by-step explanation:

Given

Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.

Wind from west is 80 mph

Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.

Suppose the speed of plane is

$\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph$

Suppose the distance is x

$\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}$

Average speed is

$\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph$

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