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Answer: the player answered 30 questions correctly.
Step-by-step explanation:
Let x represent the number of questions that the player answered correctly.
Let y represent the number of questions that the player answered incorrectly.
The number of questions that the player answered is 40. It means that
x + y = 40- - - - - - - - - - -1
The score on the trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If the player obtained a score of 50, It means that
2x - y = 50
y = 2x - 50
Substituting y = 2x - 50 into equation 1, it becomes
x + 2x - 50 = 40
3x - 50 = 40
3x = 40 + 50 = 90
x = 90/3
x = 30
The standard form of a quadratic equation is
,
where 
, 
, and 
are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.
In this case, the given equation is
Since 
is on the right side of the equation, we subtract that from both sides. The resulting equation is
Looking at the standard form equation , we can see that
Answer:
40 cubic units
Step-by-step explanation:
X=7 What you can do is look at the first two values given, and make them x1 and y1. Then your next value here is y2.
So x1 is 14, and y1 is 3. y2 becomes 6. X2 is unknown.
Then make the formula: x1/y2 is equal to x2/y1
(You are setting two fractions equal to each other)
That makes 14/6=X/3. When we cross multiply, we find that x=7.
