Answer:
3x³ + x² + x + 1
= 3x³ - 3x² + 4x² - 4x + 5x - 5 + 6
= 3x²(x - 1) + 4x(x - 1) + 5(x - 1) + 6
= (x - 1)(3x² + 4x + 5) + 6
but 3x³ + x² + x + 1 = (x - 1).Q(x) + R
=> Q(x) = 3x² + 4x + 5
R = 6
Answer:
580ml
Step-by-step explanation:
Let The quantity of water drank by Carol be x
Now given that Keela drank twice as much water as Carol which means the quantity of water drank by Keela is 2x
Also given that Xavier drank 100 mL more water than Keela which means the quantity of water drank by Xavier is 2x+100
Total water consumed by all the three is 3 litres=3000 ml
Total water drank = Water drank by Keela + Water drank by Xavier +Water drank by carol
3000=x+2x+2x+100
5x=2900
x=580ml
Carol drank 580ml of water.
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Answer:
-6
Step-by-step explanation:
= -3 × -3
-3 × -3 = 9
7 × -3 =-21
9 - 21 +6 = -6
Let's look at work rates per minute.
Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.
The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.
1/16 + 1/24 = 1/x
1/16 * 3/3 + 1/24 * 2/2 = 1/x
3/48 + 2/48 = 1/x
5/48 = 1/x
x = 48/5 = 9.6
Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.
