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4 years ago

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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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