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alexandr1967 [171]
4 years ago
10

a train traveled at an average speed of 45 miles per hour for 2 hours and 30 miles per hour for 3 hours. what is the total numbe

r of miles that the train traveled
Mathematics
2 answers:
Allisa [31]4 years ago
7 0
Distance=rate times time
rate=xmiles per hour
time=y hours

total distance=distance1+distance2
distance1=45mph times 2=90mi
distance2=30mph times 3=90mi
total distance=90mi+90mi=180mi

total is 180mi
Luba_88 [7]4 years ago
6 0
(45×2)+(30×3)= 180 miles

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The mistake that Danielle made is from the final equation of the polynomial. She did not write the degree of polynomial correctly. It should be 6x⁶ +2x²+ 2x - 8.

<h3>What is polynomial?</h3>

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

To determine the sum of x³ + 5x²-7 and 5x³ - 3x² + 2x - 1

Danielle's Work :

(x³ + 5x² - 7) + (5x³ - 3x² + 2x - 1)

x³ + 5x³ + 5x² - 3x² + 2x - 7 - 1

6x⁶ +2x⁴ + 2x - 8

She did not write the degree of polynomial correctly

Correct Work :

(x³ + 5x² - 7) + (5x³ - 3x² + 2x - 1)

we have to open the brackets above

x³ + 5x² - 7 + 5x³ - 3x² + 2x - 1

x³ + 5x³ + 5x² - 3x² + 2x - 7 - 1

6x⁶ +2x²+ 2x - 8

Note that Danielle made the error in this step: 6x⁶ +2x⁴ + 2x - 8

The solution for the above is -2x² and not 2x⁴ as she wrote in her final equation.

Hence, the correct polynomial would be 6x⁶ +2x²+ 2x - 8

Learn more about polynomial here:

brainly.com/question/11536910

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Step-by-step explanation:

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