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Leokris [45]
3 years ago
8

Question 4 5 pts For the equation: -k - 4k = 3 (k – 10) - 6 (k - 6), what is the value of k?​

Mathematics
1 answer:
Alla [95]3 years ago
3 0
<h2>Answer:</h2>

<em>K </em>= -3

<h2>Step-by-step explanation:</h2>

1. Simplify <em>-k-4k to -5k</em>

-5k=3(k-10)-6(k-6)

2. Distribute Parentheses/Expand

-5k=3k-30-6k+36

3.Simplify 3k-30-6k+36 to -3k +6

-5k=-3k+6

4. Add 3k to both sides

-5k+3k=6

5. Simplify -5k+3k to -2k

-2k=6

6. Divide both sides by -2

k=-6/2

7. Simplify 6/2 to 3

k=-3

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Is the multiplicative identity for rational number​
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Answer:

The rational number 1 is the multiplicative identity for rational numbers.

Step-by-step explanation:

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3 0
3 years ago
Can you solve -4a^ - (6a-2) + 3 (a^-1).the arrows that are pointing up is exponent 2.also please show work
Burka [1]
First step is to distribute.
-4a^2 - 6a +2 + 3a^2 -3
Combine like terms
-a^2 -6a -1
5 0
3 years ago
Find the value for x
harkovskaia [24]

Answer:

x=45

Step-by-step explanation:

add (3x-9)+30+24=180

subtract 30 and 24 from both sides

(3x-9) = 126

+9 on both sides

3x=135

divide by 3 on both sides

x=45

7 0
3 years ago
Derek and Mia place two green marbles and one yellow marble in a bag. Somebody picks a marble out of the bag without looking and
Ahat [919]

Step-by-step explanation:

With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.

To pick two of the the same color, they can either pick green twice or yellow twice.  

P = (2/3)(2/3) + (1/3)(1/3)

P = 5/9

To pick two different colors, they can either pick green first then yellow, or yellow first then green.

P = (2/3)(1/3) + (1/3)(2/3)

P = 4/9

Expected value for Derek is:

D = (5/9)(-1) + (4/9)(1)

D = -1/9

The expected value for Mia is:

M = (5/9)(1) + (4/9)(-1)

M = 1/9

5 0
3 years ago
PLEASE HELP!!!!! 3, 8, 13, 18, 23, ....<br><br> The recursive formula for this sequence is:
rodikova [14]

Answer:

a₈ = 37

Step-by-step explanation:

The given arithmetic sequence is: 3, 8, 13, 18, 23, . . .

The recursive formula for the sequence is: $ a_n = a_{n - 1} + 5 $

Here, $ a_n $ represents the $ n^{th} $ of the sequence.

And, $ a_{n - 1} $ represents the $ (n - 1)^{th} $ of the sequence.

'+5' denotes that '5' is added to the $ (n - 1)^{th} $ term to get the $ n^{th} $ term. In other words, the difference between two consecutive numbers in the sequence is 5.

Now, we are asked to find a₈ i.e., n =8.

Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.

So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.

⇒ a₆ = 23 + 5 = 28.

⇒ a₇ = 28 + 5 = 32.

⇒ a₈ = 32 + 5 = 37.

Therefore, the $ 8^{th} $ term of the sequence is 37.

8 0
3 years ago
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