Hey!
Hope this helps...
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Car #1: 300/43.2 = 6.9444 gallons
(Rounded) Car #2: 300/35.9 = 8.3565 gallons
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(Rounded) Car #1: 6.9444*3.19 = $22.16 to re-fill their tank
(Rounded) Car #2: 8.3565*3.19 = $26.66 to re-fill their tank
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(Rounded) Difference: $26.66 - 22.15 = $4.50
To re-fill Car 2's tank is approximately $4.50 more to re-fill Car 1's tank...
190 min.................................
Answer:
<u>The solutions to this quadratic equation are 10 and 3.</u>
Step-by-step explanation:
1. Let's recall the formula for solving this type of equations, called quadratic equations:
x = ( - b +/- √ b² - 4ac)/ 2a
The equation given is x2 – 13x + 30 = 0,
where a = 1, b = - 13 and c = 30
Now replacing with the real values, we have
x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1
x = [ 13 +/- √ 169 - 120] / 2
x = [13 +/- √ 49]/ 2
x = [ 13 +/- 7 ]/ 2
<u>x₁ = 13 + 7/2 = 20/2 = 10</u>
<u>x₂ = 13 - 7/2 = 6/2 = 3</u>
