The solution to the problem is as follows:
2x² - 7x = 3 can be re-written as 2x² - 7x - 3 = 0
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Either by completing the square or using the quadratic formula this can be solved . </span>
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Let's complete the square. </span>
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2x² - 7x - 3 = 2(x² - 3.5x - 1.5) = 2(x - 1.75)² - 9.125....then we can put </span>
2(x - 1.75)² = 9.125 : (x - 1.75)² = 9.125/2 = 4.5625
x - 1.75 = √4.5625 ≈ ± 2.14
<span>x = 1.75 ± 2.14 .....thus x ≈ 3.89 and x ≈ - 0.39
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Answer:
(a). 300r + 425p ≤ 6,600
(b). No, it’s not considered overweight
Step-by-step explanation:
In this question, we are to write an equation that shows the number of refrigerators and pianos the truck could carry.
Let the number of refrigerators be r and the number of pianos be p
By using their individual weights, the equation is as follows;
300r + 425p ≤ 6,600
To the second question, we want to consider if 10 refrigerators and 8 pianos are overload.
To get this, we simply multiply the number of each by their individual weights;
That would be;
300(10) + 425(8) = 3000 + 3,400 = 6,400 lbs
This is not considered overweight as it is less than 6,600 lbs
