Answer: The correct answer is Choice B.
To factor this expression, we should first factor out the variable x.
We will have:
x(x^2 + 4x - 5)
Now, all we have to do is factor x^2 + 4x - 5.
The factors of this are (x + 5)(x - 1).
If you put all of the factors together, you have: x(x + 5)(x - 1) or Choice B.
Answer:
134 degrees
Step-by-step explanation:
what you do, is see that they are alternate interior angles so all you do is subtract 46 from 180 so that makes 134.
We have
1.234 in-----> 1+(0.234) in
we know that
1/64=0.015625
so
0.234/0.015625=14.98-----> 15
15/64-----> 0.234
therefore
1.234 in is equal to -----------> 1 15/64 in
the answer is
1 15/64 in
Answer:
Step-by-step explanation:
I'm going to use the process of elimination to get rid of the equations. The equation for slope is y=mx+b with b being the y-intercept. As you can see the y-intercept in this graph is 4 which removes the third equation as a possible answer. The slope is moving from left to right in a downwards direction which means it is a negative slope. The only answer with a negative slope is b therfore it is your answer.
Answer:
a) 1/14
b) 1/56
c) 1/28
d) 5/28
Step-by-step explanation:
a) Since tickets are being selected without replacement, this means that the pool of outcomes diminishes with each selection. For the first pick, there are a total of 8 tickets to choose from, and 4 of those are purple. Therefore, the probability that the first ticket is purple is 4/8=1/2. For the second ticket, the total number of remaining tickets is 7, and the number of purple tickets is 3, meaning that the probability is 3/7. For the final ticket, 6 remaining tickets and 2 of them being purple yields a probability of 2/6=1/3. Multiplying all of these together, you get 1/2*3/7*1/3=1/14.
b) Similarly to the previous problem, the first probability is 3/8, followed by 2/7, and then by 1/6. Multiplying these together, you get a probability of 1/56.
c) The probability that the first two tickets are purple are 1/2 and 3/7, as we have already calculated. For the final ticket, there are 6 possible remaining with 1 of them being gold. This means a probability of 1/6, which yields a total of 1/28.
d) Since there are 5 tickets originally that aren't blue, the probability for the first pick is 5/8, followed by 4/7 and 3/6=1/2. Multiplying these together, you get a final answer of 5/8*4/7*1/2=5/28.
Hope this helps!
