6x^3-16x^2+17x-6?/3x-2
1 answer:
Answer:
2x² − 4x + 3
Step-by-step explanation:
x = 2/3 is a root of both the numerator and the denominator, so it divides evenly. Therefore, one method is to factor by grouping:
6x³ − 16x² + 17x − 6
6x³ − 4x² − 12x² + 17x − 6
2x² (3x − 2) − (12x² − 17x + 6)
2x² (3x − 2) − (4x − 3) (3x − 2)
Divided by 3x − 2:
2x² − (4x − 3)
2x² − 4x + 3
Another method is to use long division (see image).
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Hello! First, let's get some important information:
Luke works in the:
- week → grocery store → $16/hour
- weekend → nursery → $22/hour
Now, let's analyze the questions:
<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:
<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>
You'll just have to just add the value in each of the jobs:
$80 + $176 = $256
<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>Adding the values of each job:
$16g + $22n
Hope this helps!