Answer:
-2 and 5
Step-by-step explanation:
If roots of a quadratic are "a" and "b", then (x-a) and (x-b) are factors. Then the quadratic can be written as ...
y = (x -a)(x -b) = x^2 -(a+b)x +ab
That is, the constant (-10) is the product of the roots, and the x-coefficient (-3) is the opposite of their sum.
In short, you want a solution pair that has a sum of 3. Only one answer qualifies: -2 and 5.
a to C would be 4 3/4 + 2/3
3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 5/12
1 5/12 + 4 = 5 5/12 total distance
For the points in the parabola, we have:
- A = (1, 0)
- B = (3, 0)
- P = (0, 3)
- Q = (2, -1).
<h3>
How to identify the points on the parabola?</h3>
Here we have the quadratic equation:
y = (x - 1)*(x - 3)
First, we want the coordinates of A and B, which are the two zeros of the parabola.
Because it is already factorized, we know that the zeros are at x = 1 and x = 3, so the coordinates of A and B are:
A = (1, 0)
B = (3, 0).
Then point P is the y-intercept, to get it, we need to evaluate in x = 0.
y = (0 - 1)*(0 - 3) = (-1)*(-3) = 3
Then we have:
P = (0, 3)
Finally, point Q is the vertex. The x-value of the vertex is in the middle between the two zeros, so the vertex is at x = 2.
And the y-value of the vertex is:
y = (2 - 1)*(2 - 3) = 1*(-1) = -1
So we have:
Q = (2, -1).
If you want to learn more about quadratic equations:
brainly.com/question/1214333
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After 100 more minutes, the rate has gone from 30 to 80, increasing by 50. 100 divided by 50 is 2 so for every 2 minutes she is charged one dollar, but per minute the rate is 50 cents per minute. Hope this helps :)
