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Tema [17]
3 years ago
10

Tell me at least 3 distinct things you know about i and imaginary numbers.

Mathematics
1 answer:
MakcuM [25]3 years ago
5 0
I^2 is equal to -1
i is equal to _/-1
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I need help with this
andre [41]

Answer:

  f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}

Step-by-step explanation:

Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.

__

Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².

__

Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).

__

Taken altogether, these factors give us the function ...

  \boxed{f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}}

8 0
3 years ago
The equation P = 31 + 1.75w models the relation between the amount of Tuyet's monthly water bill payment, P, in
dimulka [17.4K]

Answer:

The "P" intercept, 31, means that Tuyet's monthly water bill would be $31 if he used no water.

Step-by-step explanation:

5 0
3 years ago
Mr. Smith estimates that
OLEGan [10]

Answer:

B. 7.5 hours

Step-by-step explanation:

Assuming that both hoses fill at the same rate, then by simple proportion,

To raise the pool by 1 foot of water:

1 hose ---> takes 3 hours

2 hoses ----> fills twice as fast ---> will take half the time ---> 3/2 = 1.5 hrs

Hence with 2 hoses, it will take 1.5 hours to fill 1 foot of water.

to fill 5 feet of water, we will need 1.5 hours x 5 feet = 7.5 hours

5 0
3 years ago
Read 2 more answers
Which graph represents the solution of the inequality |3x+12| ≥ 3?
xxMikexx [17]

Answer:  A

Step-by-step explanation:

The solution to the inequality is x <= -5 and x>=-3 so A is correct

3 0
2 years ago
Solve by the quadratic formula x^2 = 6x-4
tresset_1 [31]

Answer:

x=3+√5 or x=3−√5

Step-by-step explanation:

6 0
3 years ago
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