Solve the system of equations: y= 3x y= x^2 - 4 A. (-1, -3) and (4, 12) B.(-2, 0) and (2,0) C.(-1,3) and (4,5) D. (-2,-6) and (2
2 answers:
Answer:
A. (-1,-3) and (4,12)
Step-by-step explanation:
Make both equations equal to each other and solve for the variable x:
Factor the expression. Find two numbers that when you add them you get -3 and the product of both numbers be -4. These numbers are 1 and -4. Then:
Substitute these values into one the original equations and solve for y:
Therefore, you get that the solution is:
(-1,-3) and (4,12)
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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
800. 50 x 
= 204800. 204800 / 
= 800.