Answer:
c
Step-by-step explanation:
Because you can't have multiple x-values. You can only have multiple y-values.
Let the planned number of parts per hour = x
<span> Then the planned number of parts for the day = 8x
</span><span> By finishing 4 more parts in an hour than was planned (x + 4) he fulfilled his daily task in 6 hours.
</span><span> So he finished 6(x + 4) parts that day.
</span><span> 6(x + 4) = 8x
</span><span> 6x + 24 = 8x
</span><span> 2x = 24
</span><span> x = 12 </span>
N/d = 2/3 -------------------> 3n = 2d
(n + 2)/(d + 2) = 3/4 ------> 4n + 8 = 3d + 6
Answer:
<em>Factored Form: </em><em> </em><em>( y - 2 )( 3y + 7 )</em>
Step-by-step explanation:
<em>1. Let us first write down the problem at hand: </em>3y^2 + y - 14
<em>2. Now let us break this expression into groups: </em>
3y^2 - 6y + 7y - 14 ⇒ ( 3y^2 - 6y )( 7y - 14 )
<em>3. Factor 3y from 3y^2 - 6y:</em>
3y^2 - 6y ⇒ 3y( y - 2 )
<em>4. Factor 7 from 7y - 14:</em>
7y - 14 ⇒ 7( y - 2 )
<em>5. Substitute Step #3, 4 ⇒ Step #2:</em>
3y( y - 2 ) + 7( y - 2 )
<em>6. Factor common term y - 2:</em>
<em>Answer: ( y - 2 )( 3y + 7 )</em>