Answer:
Step-by-step explanation:
rational functions are :
1) f(x)= (3x-1)/(x^2-4x+5)
2) f(x) =-4x^-3+5x^-1+7-18x^2
3) f(x) = 0
Answer: approximately 5.1818 pounds per square inch (psi)
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Work Shown:
P = pressure
T = temperature
The pressure is directly proportional to the temperature, which means P = k*T where k is some constant. As T goes up, P goes up as well, and vice versa. If P goes down, then T goes down too (or vice versa). In short, P and T go up together or go down together.
We're told that 6 psi (pounds per square inch) correspond to a temperature of 440 degrees F. This means P = 6 and T = 440 pair up. Let's use this P and T pairing to find k.
P = k*T
6 = k*440
6/440 = k
k = 6/440
k = 3/220
Therefore, the equation
P = k*T
updates to
P = (3/220)*T
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The last step is to plug in T = 380 to figure out the paired value of P
P = (3/220)*T
P = (3/220)*380
P = 5.1818 approximately
Answer:
To the nearest hundredth, 2.85
To the nearest hundred, zero
Step-by-step explanation:
V = lwh
2x³ + 17x² + 46x + 40 = l(x + 4)(x + 2)
2x³ + 12x² + 16x + 5x² + 30x + 40 = l(x + 4)(x + 2)
2x(x²) + 2x(6x) + 2x(8) + 5(x²) + 5(6x) + 5(8) = l(x + 4)(x + 2)
2x(x² + 6x + 8) + 5(x² + 6x + 8) = l(x + 4)(x + 2)
(2x + 5)(x² + 6x + 8) = l(x + 2)(x + 4)
(2x + 5)(x² + 2x + 4x + 8) = l(x + 4)(x + 2)
(2x + 5)(x(x) + x(2) + 4(x) + 4(2)) = l(x + 4)(x + 2)
(2x + 5)(x(x + 2) + 4(x + 2)) = l(x + 4)(x + 2)
(2x + 5)(x + 4)(x + 2) = l(x + 4)(x + 2)
(x + 4)(x + 2) (x + 4)(x + 2)
2x + 5 = l
Answer:
Good
Step-by-step explanation:
