Answer:
B.
Step-by-step explanation:
First, notice that we can cancel out an x in the second term. Thus:
As with the last question, change the sign to multiplication and "flip" the second term:
Multiply straight across:
Cancel the (x+1) term:
Cannot be simplified further.
B.
Answer:
A
Step-by-step explanation:
We are given the function:
And we want to determine its graph.
One of the most important features of a quadratic is its vertex. So, we can start by finding the vertex using the formulas:
In this case, <em>a</em> = 1, <em>b</em> = -6, and <em>c</em> = -7.
Find the <em>x-</em>coordinate of the vertex:
Substitute this back into the equation to find the <em>y-</em>coordinate:
Therefore, our vertex is at (3, -16).
The only graph whose quadratic's vertex is at (3, -16) is Graph A. Thus, our answer is A.
Each spin consists in a choice of a number among 1, 3, 4 and 6. This means that there are two odd numbers and two even numbers.
You get an even number if you sum two numbers with the same parity, you get an odd number if you sum two numbers with opposite parity.
Whatever number you get from the first spin, you have a 50% chance of spinning a number with the same parity with the second spin, and a 50% chance of spinning a number with opposite parity with the second spin.
So, with each turn, you have a 50% chance of getting an even sum, and a 50% chance of getting an odd sum.
This means that, by definition, the expected number of spaces moved is
So, on average, you move 2 steps foward.