Find the value of x when a=1, b=2, y= 3 by using general formula
After replace number in a, b, y we have
3 = 1ax^2 - 2x - 12
x^2 - 2x -15 = 0
x^2 - 5x + 3x -15 = 0
(x^2 - 5x) + (3x -15) = 0
x*(x - 5) + 3*(x - 5) = 0
(x - 5)*(x + 3) = 0
x - 5 = 0 or x + 3 = 0
x=5 or x=-3
Considering the vertex of the quadratic function, it is found that:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the function is given by:
y = 0.75x² - 13.5x + 57.75.
Which means that the coefficients are a = 0.75 > 0, b = -13.5, c = 57.75.
Thus, the minimum value is given by:

Thus:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
Answer:
790
Step-by-step explanation:
If 79 is 10% of his free throws than the full total is
79 times 10. 79 times 10 is 790.
Hope this helps :)
brainliest would be appreciated
Answer:
[ry, yr, gy, yg, rg, gr]-Any three picks from this sample space.
Step-by-step explanation:
-The bag contains exactly
marbles.
-He picks one ball without looking, and chooses a second ball without replacing the first:
- If the first is red, the the second is either yellow or green,
- If the first is a yellow, then the second can be red or green,
- If the first is green, then the second can be a red or yellow.
The sample space of the second pick is therefore:
[ry, yr, gy, yg, rg, gr]
Hence, any three picks from the sample space are correct possible outcomes.