Answer:
a = – 8
Step-by-step explanation:
From the question:
When P(x) = 2x³ – ax² + 4x – 4 is divided by x – 1, it gives a reminder of 10.
To obtain the value of a, we shall equate x – 1 to 0 as illustrated below:
x – 1 = 0
x = 0 + 1
x = 1
Next, we shall substitute the value of x into 2x³ – ax² + 4x – 4 and equating it to 10 as illustrated below:
2x³ – ax² + 4x – 4 = 10
x = 1
2(1)³ – a(1)² + 4(1) – 4 = 10
2 – a + 4 – 4 = 10
2 – a = 10
Collect like terms
– a = 10 – 2
– a = 8
Divide through by –1
a = – 8
Therefore, the value of a is –8.
Answer:
9 Km/h
Step-by-step explanation:
Walking 3 Km for 20 minutes from the definition of speed, it's distance covered per unit time. Here, the distance covered is expressed per unit hour.

Substituting 3.5 Km for distance and time for 20 minutes
To convert time into hours, we divide the minutes by 60 hence time=20/60=1/3 hours

Therefore, the speed is 9 Km/h
Answer:
<h2>The answer is B </h2>
Step-by-step explanation:
The answer is B because
<u>9 </u>new light bulbs + <u>6</u> used light bulbs = <u>15 total</u> bulbs
Meredith <u>selected 2 light bulds</u>
So there's a probability of <u><em>(2/15)</em></u> that Meredith will select a new light bulb and then a used light bulb
For this case we have the following system of equations:

Substituting the second equation into the first we have:

The equality is not fulfilled, therefore the system has no solution.
The lines do not intersect.
Answer:
The system has no solution.
Each cat would get 1/20 of the whole bag of cat food.