Write each quadratic expression in standard form. Draw a diagram if needed. (x+4)(x-1)
1 answer:
Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
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Answer:
4 hours
Step-by-step explanation:
We know the following:
Total amount Randy earned: $667
Pay for first 40 hours: $14.50 per hour
Pay after 40 hours: $21.75 per hour
We need to find the total extra hours:
If the total number of hours worked are, , then:
Total pay received for the first 40 hours:
If out of $667, Randy earns $580 from the first 40 hours, the left over are earned by extra hours.
$667 - $580 = $87 ------- (a)
Total pay received for working after 40 hours:
We know from eq (a) that total pay is 87, hence we can find the number of hours using this.
Randy worked 4 extra hours.