The Sample Space for the experiment is {B, W, R, G, P}. :) The answer to the second question is 7/12.
Hope this helps!
Answer:
<em><u>A:</u></em>
<em><u>Square</u></em>
<em><u>Rectangle</u></em>
<em><u>Parallelogram</u></em>
<em><u>Quadrilateral</u></em>
<em><u>Rhombus</u></em>
<em><u></u></em>
<em><u></u></em>
Step-by-step explanation:
All sides and angles are equal so it is a square
All angles are 90 degrees so it is a rectangle (eliminate C)
Opposing angles and side lengths are congruent so it is a parallelogram (eliminate D)
It has 4 sides so it is a quadrilateral (eliminate B)
Since all of the other answers are eliminated you don't necessarily need to prove that is is a rhombus, but it is good practice.
Opposing sides are congruent so it is a rhombus.
The quadratic function given by:
is in vertex form. The graph of
is a parabola whose axis is the vertical line
and whose vertex is the point
. So:
To translate the graph of a function to the right, left, upward or downward we have:

By knowing this things, we can solve our problem as follows:
FIRST.
- Translating <em>11 units to the left:</em>

- Then translating<em> 5 units down:</em>

Since the new function is fatter, the factor we need to multiply the term
<em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.
<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>
SECOND.
- Translating <em>8 units to the right:</em>

- Then translating<em> 1 unit down:</em>

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.
<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>
Answer:
(x+8,y-6)
Step-by-step explanation:
it's the number of values that x and y differ