Hi there! We are asked to find the graph that represents the cubic function y = x³ - 2x² - 5x + 6. To do this, we have to find the roots of the function, and we can do that by using the Rational Root Theorem, which is basically constant over the leading coefficient. <u>+</u> 6 / <u>+</u> 1 Now, just list all the factors of 6 and replace that as the numerators. Factors: 1, 2, 3, 6 <u>+</u>1, <u>+</u>2, <u>+</u>3, <u>+</u>6 / <u>+</u>1 Now, just simplify for each one. We get the possible roots: 1, -1, 2, -2, 3, -3, 6, -6. All we have to do now is plug each one back into the equation and see which ones turn out to evaluate the function to zero. After doing so, we get the roots 1, -2, and 3. Now, look for the graph that has x-intercepts of 1, -2, and 3, and the only graph that works is Graph B. Therefore, the graph that represents the function y = x³ - 2x² - 5x + 6 is Graph B. Hope this helps and have a marvelous day!
$9,300 First, multiply your beginning amount by the percent of interest: 3,000x0.07 = 210 Then, multiply your interest times the number of years: 210x30 = 6,300 Add you interest to your initial amount: 3,000 + 6,300 = 9,300
If one lawn is 10.50, then to find 24 lawns you times it by the earnings of one lawn (i.e. 10.50) The sum would be: 10.50 x 24 The answer to that would be 252.00. (Remember to add in the currency sign in front of the answer (eg. £ $ etc)
