Answer:
- Parallel
- Neither parallel nor perpendicular
- Perpendicular
Step-by-step explanation:
<u>Given line m:</u>
<u>Relationship of line m with following lines:</u>
1.<u> y = 4/5x + 3</u>
- Same slope, different y-intercept
- Parallel
2. <u>y = -4/5x + 3</u>
- Slope are negative, different y-intercept
- Neither parallel nor perpendicular
3. <u>y = - 5/4x + 3</u>
- Slopes are negative-reciprocal, different y-intercept
- Perpendicular
<em>Answer</em><em> </em><em>:</em><em>-</em><em> </em>
<em>the</em><em> </em><em>quoti</em><em>ent</em><em> </em><em>is</em><em> </em><em>(</em><em> </em><em>4</em><em>x</em><em>²</em><em> </em><em>-</em><em> </em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>7</em><em> </em><em>)</em>
Step-by-step explanation:
[ Refer to the attachment for steps ]
- We have to eliminate the highest degree coefficient in each step.
- And as in division of normal numbers we subtract the things here we do the same ,
but while subtracting we have to take care about the signs !
- The negative sign changes the negative sign into positive sign and positive sign into negative sign.
- Whereas , a positive sign don't changes the sign.
Answer: Option 'd' is correct.
Step-by-step explanation:
Since we have given that
Number of hours of pop music = 3
Number of hours of classical music = 2
According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.
Rate of increment = 5% = 0.05
Let the number of months be 'x'.
So, our required function becomes,

Hence, Option 'd' is correct.
Answer:
Step-by-step explanation:
To be rational means to be able to express the result as the ratio of two whole numbers.
a) 4/7 + (-1/3) = 12/21 - 7/21 = 5/21 so rational
b) √(4) • 2/5 = ±2 • 2/5 = ±4/5 so both solutions are rational
You have to have the same denominator for both fractions, so I would multiply 3/4 by 3 that would give you 9/12 and the other one is 7/12. This means that the final answer would be 9/12>7/12.