Vlad did not make a mistake.
Answer:
x = 4
Step-by-step explanation:
6x - 9 = 15
6x - 9 + 9 = 15 + 9
6x = 24
6x / 6 = 24 / 6
x = 4
Answer:
79/96
Step-by-step explanation:
31.5 pencils used in 1 hour
<h3>Part 1</h3>
If we simplify, both Joe and Hope factored the polynomial correctly but Joe didn't complete it fully.
<u>The first binomial can be further factored:</u>
<h3>Part 2</h3>
The quadratic expression needs to have two roots in order to be factored as two binomials.
<u>The discriminant must be positive or zero:</u>
We have a = 3, b = k, c = -8
<u>So we get following inequality:</u>
- k² - 4*3*(-8) ≥ 0
- k² + 96 ≥ 0
<u>Since k² is positive for any value of k, the solution is any value of k:</u>