kcameronanderso
07.07.2019 •
Mathematics
In a math class, the teacher asked the students to find the approximate value of one of the x-coordinates of a point of intersection of two functions: f(x) = 2x2 − 3x + 4 g(x) = 5x − 1 her students gave her different answers. which answer is the most accurate? a. 0.8 b. 0.9 c. 1.9 d. 1.1
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Ответ:
Set the polynomial equal to each other.
x2 - 2x - 5 = x3 - 2x2 - 5x - 9
Move all the terms to the right side of the equation to make the left side equal to zero.
0 = x3 - 3x2 - 3x - 4
Now we use synthetic division to factor.
4 | 1 -3 -3 -4
4 4 4
1 1 1 0
0 = (x - 4)(x2 + x + 1)
Now you can set the factors equal to zero and solve for x. Since the quadratic factor has no real solutions, we ignore and focus on the linear factor. x = 4
Evaluate any of the function when x=4 to get the y-coordinate of the intersection point.
Ответ:
.002 = 2 hundredths