Answer:
When you multiply the number by its reciprocal the numerator of the one becomes the denominator of the other and is equals to 1 .
First, the graph is a parbole, this is a square function, so it can not be the option a) because it is a linear function.
Second, the vertix of the parabole is the point (0,3), so use the general vertex form of the parabole:
y = A(x - h)^2 + k, where h and k represent the vertex (h,k).
So, the form of the funtion is y = A (x-0)^2 - 3 = Ax^2 - 3
Now, you also know that the roots of the parabole are close to -1 and 1 but they are not those exact value.
So, find the roots for any of the possible options:
b) f(x) = 2x^2 - 3 = 0 => 2x^2 = 3 => x^2 = 3/2 => x = +/- √(3/2) ≈ +/- 1.22
That is a very plausible answer
c) f(x) = (1/2)x^2 - 3 = 0 => x^2 = 2*3 = 6 => x = +/- √6 ≈ +/- 2.45, which is very far from the roots shown on the graph.
3) f(x) = x^2 - 3 = 0 => x^2 = 3 => x = +/- √3 ≈ +/- 1.73, which is not so close to +/- 1.
So, the answer is the option b) f(x) = 2x^2 - 3
Answer:
a = sqrt(b^2 + c^2 - 2bc cosA) = sqrt(13^2 + 6^2 - 2 * 13 * 6 * cos 50) = sqrt(169 + 36 - 156 cos 50) ≈ sqrt(205 - 100.3) ≈ sqrt(104.7) ≈ 10.2
a ≈ 10.2
c / sin C = a / sin A
sin C = c sin A / a = 6 sin 50 / 10.2 ≈ 0.4491
C = arcsin(0.4491) ≈ 26.7
C ≈ 26.7°
B = 180 - A - C ≈ 180 - 50 - 26.7 ≈ 103.3
B ≈ 103.3°
Step-by-step explanation:
Answer:
6 2.83
4 2
Step-by-step explanation:
Answer:
1 4/45
Step-by-step explanation:
