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!
Question unclear
Step-by-step explanation:
If it is a trapezoid, you can simply find the average of the two base lengths, but I can't help much without seeing the shape. Please add a picture of the shape.
Volume of 1 ball = 4/3 π r³ = 4/3 (3.14) (2.25 ÷ 2)³ = 5.961 in³
Volume of 3 balls = 5.961 x 3 = 17.883 in³
Volume of cylinder = πr²h = (3.14) (2.25 ÷ 2)² (6.75) = 26.825 in³
Empty Space = 26.825 - 17.883 = 8.94 in³ (nearest hundredth)
Answer: 8.94 in³
the
first equation is the answer of this question.
explanation
where the xy is in sequence so it is the standard form of polynomial
