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Lisa [10]
2 years ago
5

-9 – 3.

Mathematics
1 answer:
Len [333]2 years ago
3 0

Answer:

3 x -3y = -9y

3 x -1 = -3

The factored expression is 3(-3y - 1)

Step-by-step explanation:

All you have to do is -9y / 3 = -3y and -3 / 3 = -1, then put those numbers in parentheses. All of that is multiplied by 3.

The reason is because if you distributed the 3 it would become:

3 * -3y + 3 * -1 = -9y - 3

You might be interested in
3. (5 + 2) = (3 . 5) + (3 . 2) *
UNO [17]

Answer:

C) Distributive Property

Step-by-step explanation:

You're <em>distributing</em> in the 3 when you multiply it by the 5 and the 2 in the algebraic process:

 ➦  ➦

3•(5 + 2) = (3 • 5) + (3 • 2)

So, the 3 was <em>distributed</em> between the 5 and 2 when you multiplied.

Hence, this is the distributive property.

8 0
3 years ago
According to the general equation for conditional probability, if P(A n B) = 3/10 and P(B)= 2/5 what is p(alb)
Natali5045456 [20]

Answer:

P(A given B) = 3/4

Step-by-step explanation:

As we know that it is conditional probability, where the probability of an event depends on the event that has certain probability of occurrence.

The formula for conditional probability is:

P(A given B) = P(A ∩B) / P(B)

Where a and B are events. The probability of event B is known and we also know probability of A∩B

So, putting the values in the formula:

P(A\ given\ B) = \frac{P(A and B)}{P(B)}\\= \frac{\frac{3}{10} }{\frac{2}{5} } \\=\frac{3}{10} *\frac{5}{2}\\=\frac{3}{4}

So, the probability of A given B is 3/4 ..

3 0
3 years ago
Please help and is this correct
bulgar [2K]

Answer:8.1000=8000

9.100=900

8000>900

8.1000>9.100

Step-by-step explanation:

6 0
3 years ago
I need to know the answer quick
Paha777 [63]

Answer:

v = 13

Step-by-step explanation:

Truly hope I helped fast enough:).

3 0
3 years ago
Suppose that a and b are integers, a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ) . Find the integer c with 0 ≤ c ≤ 12 such that: c ≡ 9 a
g100num [7]

Answer:

A) For c ≡ 9 a ( mod 13 ) ; C is 10

B) For c ≡ 11 b ( mod 13 ) ; C is 8

C) For c ≡ a + b ( mod 13 ); C is 0

D) For c ≡ a² + b² ( mod 13 ); C is 6

E) For c ≡ a² − b² ( mod 13 ) ; C is 0

Step-by-step explanation:

This is a modular arithmetic problem where a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ).

And 0 ≤ c ≤ 12.

A) c ≡ 9 a ( mod 13 )

Substituting the value of a to obtain;

c ≡ 9 x4 ( mod 13 ) = 36 mod 13

To find 36 mod 13 using the Modulo Method, we first divide the Dividend (36) by the Divisor (13).

Second, we multiply the whole part of the Quotient in the previous step by the Divisor (13).

Then finally, we subtract the answer in the second step from the Dividend (36) to get the answer. Here is the math to illustrate how to get 36 mod 13 using Modulo Method:

36 / 13 = 2.769231

2 x 13 = 26

36 - 26 = 10

Thus, the answer to "What is 36 mod 13?" is 10

So C = 10

B) c ≡ 11 b ( mod 13 ) = 11 x 9 ( mod 13 ) = 99 ( mod 13 )

Using the same method as above,

99 ( mod 13 );

99 / 13 = 7.6155

7 x 13 = 91

99 - 91 = 8

So, C = 8

C)c ≡ a + b ( mod 13 ) = 4 + 9 (mod 13) = 13 (mod 13)

Thus;

13 / 13 = 1

1 x 13 = 13

13 - 13 = 0

So, C = 0

D)c ≡ a² + b² ( mod 13 ) = 4² + 9²( mod 13 ) = 16 + 81 ( mod 13 ) = 97 ( mod 13 )

Thus;

97 / 13 = 7.46154

7 x 13 = 91

97 - 91 = 6

So, C = 6

E)c ≡ a² − b² ( mod 13 )= 4² - 9²( mod 13 ) = 16 - 81 ( mod 13 ) = - 65 ( mod 13 )

Thus;

-65 / 13 = - 5

-5 x 13 = - 65

-65 - (-65) = 0

So, C = 0

3 0
3 years ago
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