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Artemon [7]
4 years ago
12

Can someone tell me if this is the correct choice?

Mathematics
1 answer:
masya89 [10]4 years ago
3 0

Answer:

Step-by-step explanation:

It's not the correct choice. If a root is given, that is the same thing as the solution. We go backwards from a solution to a factor, which is what you need to do here.

If x = 2i is the solution, then the factor is

(x - 2i). Likewise, with the other one.

If x = 3i is the solution, then the factor is

(x - 3i). The leading coefficient of 1 just sits outside the first set of parenthesis, and because multiplication is commutative, it doesn't matter which set you put first. Thus, the one you want looks like this:

f(x) = (x - 2i)(x - 3i) or

f(x) = (x - 3i)(x - 2i).

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<img src="https://tex.z-dn.net/?f=4%28a%20%2B%202%20%29%20-%202%20%28a%20-%203%29" id="TexFormula1" title="4(a + 2 ) - 2 (a - 3)
satela [25.4K]

Answer:

\large\boxed{2a+14}

Step-by-step explanation:

4(a + 2 ) - 2 (a - 3)\qquad\text{use distributive property:}\ a(b+c)=ab+ac\\\\=4a+8-2a-(-6)\qquad\text{combine like terms}\\\\=(4a-2a)+(8+6)\\\\=2a+14

5 0
3 years ago
The data on the right represent the number of traffic fatalities by seat location and gender. Determine ​P(​) and ​P(​|​). Are t
liubo4ka [24]

Answer:

The probability of selecting a male is 0.3151.

The events "male" and "driver" are not independent.

The correct option is B.

Step-by-step explanation:

The missing data is as follows:

                    Female          Male          Total

Driver            32759          11715          44474

Passenger      6534           6361          12895

Total              39293         18076          57369

The complete question is:

Determine ​P(​male) and ​P(male​|driver​). Are the events ​"male​" and ​"​driver" ​independent?

Solution:

Compute the probability of selecting a male as follow:

P(M)=\frac{n(M)}{N}=\frac{18076          }{57369}=0.3151

Thus, the probability of selecting a male is 0.3151.

Compute the probability of selecting a male given that he is a driver as follows:

P(M|D)=\frac{P(M\cap D)}{P(D)}=\frac{n(M\cap D)}{n(D)}=\frac{11715 }{44474}=0.2634

Two events, say A and B, are independent if:

P (A|B) = P(A)

Here, P (M|D) ≠ P (M)

Thus, the events "male" and "driver" are not independent.

7 0
4 years ago
The Hu family goes out for lunch, and the price of the meal is $44. The sales tax on the meal is 6%, and the family also leaves
Afina-wow [57]

Answer:

56.70

Step-by-step explanation:

45x0.06= 2.70

45x0.20=9

45+2.70+9= 56.70

8 0
3 years ago
What is the solution to the equation?
stiv31 [10]

Answer:

x = - 71

Step-by-step explanation:

x - 12 = - 83

+12          +12  (adding 12 to both sides)

x = - 71

7 0
3 years ago
Please help me with this question.
Ulleksa [173]

Answer:

-8

Step-by-step explanation:

-15+-9=-24

32-24=8

-24+-8=-32

8 0
3 years ago
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