We look for the minimum of each function.
For f (x) = 3x2 + 12x + 16:
We derive the function:
f '(x) = 6x + 12
We match zero:
6x + 12 = 0
We clear the value of x:
x = -12/6
x = -2
We substitute the value of x in the equation:
f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
f (-2) = 4
For g (x) = 2sin(x-pi):
From the graph we observe that the minimum value of the function is:
y = -2
Answer:
A function that has the smallest minimum y-value is:
y = -2
∠4 = 90 (verticallyopposite)
∠2 = 68 (verticallyopposite)
∠6 = ∠2 + ∠4 (exterior angles = sum of opposite angles)
∠6 = 68 + 90 = 158°
Answer: 158°
Answer:
26 degrees.
Step-by-step explanation:
The angles of triangles will always add up to 180 degrees.
The first angle is 50 degrees.
The second angle, is shown with a 76 degree angle next to it.
Since this is a 180 degree line, we can find the angle of the bottom right corner by doing 180 - 76. 180 - 76 is 104.
104 + 50 = 154 degrees.
The remaining 26 degrees is the answer to the value of y.
Answer:
Step-by-step explanation:
Given:
H(–1, –6), J(1, –3), K(–5, –1), and L(5, –5)
We know that polygons are HJKL relaxes using the scale factor 3. This means that, to find the coordinates of the vertices of the polygon H'J'K'L ', we need to multiply the coordinate system x and y coordinates of each vertex by a factor of 3 proportion as following:
- H' = (-1*3, -6*3) = (-3, -18)
- J' = (1*3 , -3*3) = (3, -9)
- K = (-5*3, -1*3) =(-15, -3)
- L = (5*3, -5*3) = (15, -15)
