Answer:
y= - 1/2 (negative half) = -0.5
Step-by-step explanation:
−6y+3(12y)=20(y−1)+15
Multiply 3 and 12 to get 36.
−6y+36y=20(y−1)+15
Combine −6y and 36y to get 30y.
30y=20(y−1)+15
Use the distributive property to multiply 20 by y−1.
30y=20y−20+15
Add −20 and 15 to get −5.
30y=20y−5
Subtract 20y from both sides.
30y−20y=−5
Combine 30y and −20y to get 10y.
10y=−5
Divide both sides by 10
y= -5/10
Reduce the fraction -5/10 = -0.5 to lowest terms by extracting and cancelling out 5 .
Answer:
apart from using the hoc to predict the college students gpa, some other variables can be used
1. the students intelligent quotient
2. ability to remember
3. study time
4. gym practice
Step-by-step explanation:
<u>1. the students intelligent quotient</u>
<u>gpa</u><u> </u>has a positive relationship with iq. they are both directly related. The more the iq of a a student, the greater is his ability to understand and have a good gpa. the slope will therefore be positive and be in an upward direction.
2. <u>ability to remember</u>
the gpa of students who have a good ability to remember but do not have a good grasp of the subject may not be high. the slope would be in a slightly upward direction
3. <u>study time</u>
gpa and practice have a positive relationship. the more a student studies, the more likelihood exists of having a better gpa. the slope would be upward bound.
4. <u>gym</u><u> </u><u>practice</u>
gpa and gym practice are not related so the slope would be in a downward direction.
when interpreting the direction of relationship after carrying out such an analysis, it is useful to watch out for the accompanying signs of the variables. if the sign of the beta coefficient is positive then a positive relationship with the dependent variable exists.
Given:
The system of inequalities is
To find:
The values of a for which the system has no solution.
Solution:
We have,
...(1)
It means the value of x is less than or equal to 5.
...(2)
It means the value of x is greater than or equal to a
Using (1) and (2), we get
But if a is great than 5, then there is no value of which satisfies this inequality.
Therefore, the system has no solution for a>5.
For the house A we have:
f (x) = 124270 (1.04) ^ x
Evaluating for 7, 8, 9 and 10 we have:
f (7) = 124270 (1.04) ^ 7 = 163530.8422
f (8) = 124270 (1.04) ^ 8 = 170072.0759
f (9) = 124270 (1.04) ^ 9 = 176874.9589
f (10) = 124270 (1.04) ^ 10 = 183949.9573
For house B we have:
f (x) = 114270 (1.05) ^ x
Evaluating for 7, 8, 9 and 10 we have:
f (7) = 114270 (1.05) ^ 7 = 160789.3653
f (8) = 114270 (1.05) ^ 8 = 168828.8336
f (9) = 114270 (1.05) ^ 9 = 177270.2752
f (10) = 114270 (1.05) ^ 10 = 186133.789
We observe that for years 7 and 8 the value of house A is greater than the value of house B.
Answer:
7 and 8
