First you need to find how far he can run in one minute. To do that divide 18.4 by 5. I got 3.68.
Then, multiply that by 23 to see how far he can run in 23 minutes. I got 84.64
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
#SPJ1
<u>Answer:</u>
The correct answer option is C) y = -2/3x - 13/3.
<u>Step-by-step explanation:</u>
We are given a straight line graph with one known point and we are to find its equation.
We will take one more point on the line to find the slope.
(-5, -1) and (-2, -3)
Slope (m) =
Now finding the y-intercept:
Therefore, the equation of this line is y = -2/3x - 13/3.
7 / (1/2)...when dividing with fractions, flip what u r dividing by, then multiply
7 * 2/1 = 14/1 or just 14
Answer: 4y+4z
Step-by-step explanation: