The value for p will be equal to 3 / 4.
We have the function as:
f(x) = (x - 1)³ + 6(p x + 4) 2
f(x) = x³ - 3 x² + 3 x - 1 + 12 p x + 48
f(x) = x³ - 3 x² + 3 x ( 1 + 4 p) + 47
Now, it is divided by x + 2 and leaves a remainder -3.
This means that if we will subtract 3 from f(x), it will be perfectly divisible by x + 2.
g(x) = x³ - 3 x² + 3 x ( 1 + 4 p) + 47 - 3
g(x) = x³ - 3 x² + 3 x ( 1 + 4 p) + 44
Now put x = -2:
(-2)³ - 3 (-2)² + 3 (-2) ( 1 + 4 p) + 44 = 0
-8 - 12 - 6 ( 1 + 4 p) + 44 = 0
- 20 - 6 - 24 p + 44 = 0
24 p = 18
p = 3 / 4.
Therefore, the value for p will be equal to 3 / 4.
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Answer: The answer is C.
Step-by-step explanation: This is because reflecting a point from Quadrant 1 over the y-axis always gets you a result from Quadrant 2.
It is C trust me I’m doing the same thing
So my step one would be to add the six over and get 3x squared -9x+6=0, then divide by 3 to get x squared-3x+2=0. The next step is seeing what two numbers multiply to 2 but also add to negative three. The two numbers are -1 and -2. So then you are going to make two equations, one being x-1=0 and the other being x-2=0. Solve both to get X=1 and X=2, check your answers in the original equation. Hope this helps!
Answer : 4.5 × 10⁴ square inches can be washed per hour.
Step-by-step explanation :
As we are given that an area can be washed at a rate of 4,900 cm²/min. Now we have to determine the square inches can be washed per hour.
Given conversions are:
1 cm = 0.39 in and 1 hr = 60 min
As, 1 cm² = (0.39)² in² and 1 min = 1/60 hr
So, 
Now we have to determine the square inches can be washed per hour.
As,
So, 
Therefore, 4.5 × 10⁴ square inches can be washed per hour.
