The simplification of the polynomial expression will give 3x² - 20x + 8.
<h3>How to illustrate the polynomial?</h3>
The polynomial expression is given as:
(5x² + 13x4) (17x² + 7x - 19) + (5x-7)(3x + 1)
= 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² + 5x - 21x - 7
Then collect like terms
= 5x² + 15x² - 17x² + (13x - 7x + 5x - 21x) - 4 - 7 + 19
= 3x² - 20x + 8.
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Answer:
Slope = 2/3
Step-by-step explanation:
Slope = Change over y (rise) over change over x (run)
Pick two dot points on the line
Count how many units over they are until you get to the next dot, then count how many units up until you reach the next dot
Remember: Y runs vertically, X runs horizontally
Put the unit number that ran vertically on the top, then put the unit number that runs horizontally on the bottom
If needed simplify
The slope is 2/3
If the half-life is t, then every t days, the amount of the radioactive isotope will be cut in half.
(1/2)^(number of half-lives) = 3%
number of half-lives = ln(0.03) / ln(0.5)
This gives the number of half-lives as 5.06.
Then 300 days = (5.06)(length of 1 half-life)
length of 1 half-life = 300 / 5.06 = 59.29 days
Answer:
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