Answer:
29) discriminant is positive
30) discriminant is 0
31) discriminant is negative
Step-by-step explanation:
the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c = 0 is positive, negative, or zero.
In the graph of question number 29 we can see that the graph intersects the x axis at two points
so the equation has 2 solutions.
When the equation has two solution then the discriminant is positive
In the graph of question number 30 we can see that the graph intersects the x axis at only one point
so the equation has only 1 solution.
When the equation has only one solution then the discriminant is equal to 0
In the graph of question number 30 we can see that the graph does not intersects the x axis
so the equation has 2 imaginary solutions.
When the equation has two imaginary solutions then the discriminant is negative
The return trip was 21.2 hours long.
Step-by-step explanation:
Given,
Speed of plane from US = 212 mph
Speed of plane on return trip = 232 mph
Let,
x be the time taken on return trip.
Time taken from US = x+2
We know that;
Distance = Speed * Time
Distance of plane from US = 212(x+2) = 212x+424
Distance on return trip = 232x
As the distance will be same, therefore,
Dividing both sides by 20
The return trip was 21.2 hours long.
Keywords: distance, speed
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Answer:
i would just round 0.50 to the nearest tenth
Step-by-step explanation:
The expression can be used to find the coordinate of Point B. Option C is correct.
Given that,
Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calculate the coordinates for point B is to be determined.
<h3>What is the equation?</h3>
The equation is the relationship between variables and represented as y = ax +c is an example of a polynomial equation.
Let the coordinates of B be (x, y)
Now the distance between A (6, 5) and B (x, y) is c = 5 units
So, by the distance formula, the distance between two points is given as,
now put the value in the formula.
Thus, expression can be used to find the coordinate of Point B. Option C is correct.
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Factor out -x from the expression