Answer:
6.33... and 0.333...
Step-by-step explanation:
The quadratic formula is
.
It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

We will now solve for the plus and the minus.
The plus,,,
and the minus...

Answer:8% discount will be given
Step-by-step explanation:
Two of them are 1/4 and 2/8! Hope this helps:)
Answer:
Victor should buy Legend because it has a better unit rate
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Step-by-step explanation:
See attachment for complete question.
To determine which car has more gas efficiency, we have to calculate the slope of each car.
Vehicle 1: Legend
Take any two corresponding points from the table


The slope is then calculated using;




<em>This implies that this vehicle (legend) travels 18 miles per gallon of gas</em>
Vehicle 2: Supreme
Take any two corresponding points from the graph


The slope is then calculated using;




This implies that this vehicle (supreme) travels 16.7 miles per gallon of gas
<em>Base on the calculations above, Victor should buy Legend because it has a better unit rate</em>
Answer:the short cut is 55 meters.
Step-by-step explanation:
The park around which the jogger jogged is rectangular in shape. The Short cut that the jogger jogged through to her car is the diagonal of the rectangle. The diagonal becomes the hypotenuse of the rectangle. The sides of the field becomes the opposite side and adjacent side of the triangle. To determine the length of the diagonal, we would apply Pythagoras theorem. It is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Hypotenuse^2 = 44^2 + 33^2 = 3025
Hypotenuse = √3025
Hypotenuse = 55 meters