The answer is: " (x − 8) (x + 3) " .
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" (x − 8) (x + 3) " are the factors of: " x² − 5x − 24 " .
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Explanation:
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Given: "x² − 5x − 24 " ; Factor this "trinomial" expression completely.
We notice the "-5x" and the "-24 .
What factors of "-24" add up to "-5" ?
-1 + 24 ? No.
-24 + 1 ? no.
-12 + 2 = -10? No.
12 + (-2) = 12 - 2 = 10 ? No.
-3 + 8 = 5 ? No.
-8 + 3 = -5 ? Yes!
So: " (x − 8) (x + 3) " are the factors of: " x² − 5x <span>− 24 " .
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Answer:
A
Step-by-step explanation:
The graphs are attached.
First of all, the day proposal goes out, 25 people know, so the initial condition is y = 25 at x = 0.
Hence, graph would start at y = 25.
Looking at the graphs, we can eliminate B and D immediately because they start at 50.
Now, it says every day, this number (y) triples, so 1 day after, it would be:
25 * 3 = 75
So, the graph would show x = 1 and y = 75
We can eliminate "C" as it doesn't show 75 at x = 1.
And we look at A and it is correct.
So,
A is the graph of the situation represented.
There are 4 teams in total and each team has 7 members. One of the team will be the host team.
Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.
So total number of possible 9 member tournament committees will be equal to:
This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:
Therefore, there are 2917215 possible 9 member tournament committees
Answer:
The larger number is 37. This makes the smaller number 56 - 37, which is 19.
Step-by-step explanation:
The first step is to pick variables for the two numbers. Lets call the smaller number x and the larger number y.
Since the sum of the two numbers is 56, this means that x + y = 56. Let's call this equation 1 and save it for later.
The next sentence says:
The smaller number is 18 less than the larger number. So, 18 less than the larger number would be y - 18. So, the smaller number must be equal to this, so
x = y - 18
Replace the x in equation 1 with y - 18
x + y = 56
(y-18) + y = 56 (replace x with y-18)
2y - 18 = 56 (add the y's)
2y = 74 (add 18 to both sides)
y = 37 (divide both sides by 2)
So, the larger number is 37. This makes the smaller number 56 - 37, which is 19.
Hope this helps!! :)
Answer:
x = 9
this is a ratio problem. You can see that 12/6 = 2, so you can also take 18/2 to get 9.
