Answer:
B: (x - 4)² = 44
Step-by-step explanation:
Start with x^2 - 8x - 10 = 18.
Simplify the constants by adding 10 to both sides: x^2 - 8x - 10 + 10 = 18 + 10.
Then x^2 - 8x = 28.
Now identify the coefficient of x. It is -8.
Take half of this, obtaining -4.
Square this result, obtaining 16.
Add 16, and then subtract 16, to x^2 - 8x:
x^2 - 8x + 16 - 16 = 28.
Add 16 to both sides:
x^2 - 8x + 16 = 28 + 16 = 44
Rewrite x^2 - 8x + 16 as (x - 4)², so that we have:
(x - 4)² = 44. This is in the form (x - p)² = 44, and matches Answer B.
Note: Please use " ^ " to indicate exponentiation: (x - 4)^2 = 44
Answer:
153/8
Step-by-step explanation:
hope this helps
Answer:
X = 15
Step-by-step explanation:
We move all terms to the left:
<em>x+8+2x-(2x+13)=0</em>
We add all the numbers together, and all the variables:
<em>3x-(2x+13)+8=0</em>
We get rid of parentheses:
<em>3x-2x-13+8=0</em>
We add all the numbers together, and all the variables:
<em>x-5=0</em>
We move all terms containing x to the left, all other terms to the right:
<em>x=5</em>
This is the order from smallest to greatest: -10,-5,0,5,10
Answer:
The expected value is defined as:
EV = ∑xₙ*pₙ
Where xₙ represents the n-th event, and pₙ is the probability of that event.
Now, the events are:
The possible outcomes are: {2, 3, 4, 5, 6, 7, 8, 9, 10} 9 in total.
Winning $1, when the number is odd. The outcomes in this case are: {3. 5. 7. 9}
4 out of 9, then the probability is p = 4/9.
Lossing $1 when the number is even. The outcomes in this case are {2, 4, 6, 8, 10}
5 out of 9, the probability is p = 5/9.
Then the expected value is:
EV = (4/9)*$1 - (5/9)*$1 = (-1/9)*$1 = -$0.11...
