Answer: x = 27 degrees
Step-by-step explanation:
ABC and DE are parallel. Angle ABD and BDE are the same because they are corresponding angles. 72 degrees + 2x + 2x = 180 degrees because ADF is a straight line and angles on a straight line add up to 180 degrees. 180- 72 = 108. 4x = 108 degrees, so x = 27 degrees
<span>Given the quadratic equation: f(x) = -2x^2 - 2x - 1, the axis of symmetry can be obtained by finding the line that divides the function into two congruent or identical halves. Thus, it should pass through the vertex and is equal
to the x-coordinate of the vertex. </span>
<span>Note that a quadratic
equation in standard form: y = ax^2 + bx + c, has the vertex located at (h,k) where, h = -b/2a and k is determined by evaluating y at
h. In this case, a = -2, b = -2, thus, h = -0.5, k = 0.5. Thus, the vertex is located at (-0.5, 0.5) and the axis of symmetry is at x = -0.5. </span>
Answer:
The game's expected value is of -$1.5.
Step-by-step explanation:
Expected value:
Probability of each outcome multiplied by the outcome.
One out of 6 sides is 2:
1/6 probability of the player earning 45 - 9 = $36.
5/6 probability of the player losing $9. So
The game's expected value is of -$1.5.
Answer:
16
Step-by-step explanation:
2x2-y
2(3)2-2
2(9)-2
18-2
16
Answer:
nah
Step-by-step explanation:
b