Answer:
Quadrant I
Step-by-step explanation:
Quadrant IV (bottom right corner) reflects over the x axis into the top right corner or Quadrant I
Answer:
Option A
Step-by-step explanation:
Equation of the given quadratic function is,
y = 2x² + 8x + 3
y = 2(x² + 4x) + 3
= 2(x² + 4x + 4 - 4) + 3
= 2(x + 2)² - 8 + 3
= 2(x + 2)² - 5
By comparing this equation with the equation of a quadratic function in vertex form,
y = a(x - h)² + k
Here (h, k) is the vertex of the parabola
Vertex of the given equation will be (-2, -5) and coefficient 'a' is positive (a > 0)
Therefore, vertex will lie in the 3rd quadrant and the parabola will open upwards.
Option (A). Graph A will be the answer.
Answer:
option D.
Step-by-step explanation:
given,
5 married couples and we have to form the committee of 3 people such that no married couple comes together in the committee.
total number of people present = 5 × 2 = 10 people
selecting 3 people randomly = ¹⁰C₃ = 120 ways
number of ways of selecting couple = ¹⁰C₁× ⁴C₁
= 40 ways
so, ways to select committee which does not include married couple =
= 120 - 40 = 80 ways
so, the correct answer is option D.
1. there are 11 letters total and 1 m so 1:11
2. true
3. 10 total marbles. 2 black so 2/10 = 1/5
4. 3 x 3 x 5 = 45
5. 15 marbles so 6/15 black 4/15 blue = 8/75
6. 15 marbles so 5/15 red 5/15 x 5/15 = 1/9
7. 3/10 x 4/9 = 2/15
8. Drawing a club or a black card
9. Drawing a king or a queen