Answer:
Step-by-step explanation:
The given equation is
Subtract 2 from both sides and factor by grouping to get:
By the zero product principle:
When
This implies
When
We have
hence x is not defined for all real numbers
Answer: Part A = 12 candles per hour
Step-by-step explanation:
48/4 = 12
Answer:
B. 
Step-by-step explanation:
Given:
The given triangle is an isosceles right angled triangle with the legs equal to 6 cm each and the hypotenuse is 'x' cm.
Applying Pythagoras theorem which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Therefore,
Therefore, the length of the hypotenuse is 
cm.
Hence, the option B is the correct one.
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...
Well, the general form for point-slope form is y-ysub1= m(x-xsub1). In the general form, ysub1 stands for the y-coordinate and xsub1 stands for the x-coordinate, and m stands for the slope. When writing in point-slope form, we need the slop and one ordered pair.
The equation has already given us two ordered pairs but it doesn't give us the slope. We just need to find the slope between these two points, which is 3/1, or just 3. Then we pick one of the ordered pair they gave us and plug in the general form.
I'll go with the first ordered pair, (2,1). The y and the x in the equation, don't plug them in, leave them as it is, we only need to plug in the slope and the two coordinates. So we get y-1=3(x-2).
I'll only do the first ordered pain for you, and you should be able to do the second one.
