(a)For an algebra class, all students took a Unit 5 test. Their scores and the amount of hours they studied are contained in the
graph belowa student. A trend line (line of best fit) is given.Time Spent Studying(Hours)a) For the trend line,what is the slope?b) For the trend line,what is the y-intercept?c) Create a slope-intercept equationfor the trend line:
1 answer:
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Answer:
The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.
Step-by-step explanation:
The profits in the business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order.
That is:
3 : 2 : 5
The profit for the year was $176,500.
To find the number of dollars that each partner, we have to first find the total ratio and then divide each of the ratios by the total ratio and multiply by the profit.
The total ratio is:
3 + 2 + 5 = 10
The first partner will receive 3/10 of the profits:
= $52950
The second partner will receive 2/10 of the profits:
= $35300
The third partner will receive 5/10 of the profits:
= $88250
The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.
Answer:
C.
Step-by-step explanation:
Domain is only affected if certain values can make the result something that either doesn't make sense or is an error. In your situation, it wants you to find the domain of f/g, which is a fraction. The only rule we have for fractions regarding domain is that we simply can't divide by zero, to find the domain for any fraction with variables in the denominator, what I do is take the denominator, set it equal to 0, and solve for x.
So, if we're taking f/g, we have:
4x - 3 makes up our denominator, the bottom part of the fraction. So
4x - 3 = 0
4x = 3
x = 3/4
So the denominator is equal to zero when x is equal to 3/4. This would produce an error in any calculator because you can't divide by zero. The domain here is all real numbers except for 3/4.
(For future problems, the only thing to look out for is if your numerator, the top part of the fraction, factors into something that cancels with the bottom. In that case, it wouldn't affect domain because you aren't actually dividing by anything. For example:
If we factor the top, we see that x^2 - 4 = (x - 2)(x + 2). In this case, we have (x - 2) in both the top and bottom of the fraction, so it cancels out, and from there nothing else is restricting our domain. It would be all real numbers in a case like that.)