Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
Answer: Look at the tenths place to round to the nearest whole number.
Compare the estimated sum to the actual sum.
The estimated answer is close to the actual answer.
Step-by-step explanation:
Sample respond :)
The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides
Step-by-step explanation:
Given inequality that the teacher wrote is:
Solving an inequality means that the variable should be isolated on left side of the inequality.
So multiplying both sides by 6
Vincent got the answer is x<-2 = > The error Vincent made was that he only multiplied the left side of the inequality with 6 although he had to multiply on both sides
Keywords: Inequality, solution
Learn more about inequalities at:
#LearnwithBrainly
Answer:
(2y - 5) (3y^2 - 4)
Step-by-step explanation:
Group and factor by using the Greatest Common Factor (GCF).
6y^3 - 15y^2 - 8y + 20
Simply multiply the terms inside the first pair of parenthesis, by the terms in the second pair of parenthesis.
2y x 3y^2 = 6y^3
2y x (-4) = 8y
-5 x 3y^2 = 15y^2
-5 x (-4) = 20
6y^3 - 8y -15y^2 + 20
Now, simply simplify the problem!
(2y - 5) (3y^2 - 4)
