All categories

3 years ago

2k-1-5k+6=0. Find the value of k

Mathematics

1 answer:

Lorico [155]3 years ago

3 0

Answer:

k = 5/3

Step-by-step explanation:

Solve for k:

5 - 3 k = 0

Subtract 5 from both sides:

(5 - 5) - 3 k = -5

5 - 5 = 0:

-3 k = -5

Divide both sides of -3 k = -5 by -3:

(-3 k)/(-3) = (-5)/(-3)

(-3)/(-3) = 1:

k = (-5)/(-3)

Multiply numerator and denominator of (-5)/(-3) by -1:

Answer: k = 5/3

You might be interested in

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books does he have now?

Helen [10]

Let's create a variable to represent the size of Ruben's book collection prior to his buying the new books.

B = number of books in Ruben's collection before buying new ones

So, we know that when he bought 6 books, this increased his collection by 12%.

12% of his book collection would be represented by 0.12B. Therefore, we know that:

0.12B = 6

Divide both sides by 0.12, to get to B = 50.

However, you are being asked how many books does he have now. B represents the number of books he had before. Therefore you want to add back the 6 books he just bought.

The answer is 50 + 6 = 56

7 0

2 years ago

A line has slope -3/4and passes through the point (8, 3). Write an equation of the line.

Phoenix [80]

Answer:

y=-3/4x + 0.25

Step-by-step explanation:

7 0

3 years ago

The tables below show four sets of data:

vovangra [49]

Answer:

Hence, the set that represent a negative linear association between x and y is:

Set A.

Step-by-step explanation:

We are given 4 sets of data as:

Set A

x 1 2 3 4 5 6 7 8 9

y 10 9 8 7 6 5 4 3 2

Set B

x 1 2 3 4 5 6 7 8 9

y 3 4 5 6 7 8 9 10 11

Set C

x 1 2 3 4 5 6 7 8 9

y 8 6 5 4 3.5 3 2.5 2 2

Set D

x 1 2 3 4 5 6 7 8 9

y 1 2.5 2.5 3 4 5 6 8 9

We are asked to determine the set which represent negative linear association between x and y?

Clearly in Set B and Set D the values of y keeps on increasing as the value of x increases; hence they both represent a positive linear association between x and y.
In set C the relationship is non-linear though it is negative.
Clearly in Set A we could see that the the y is related to x as:

y=11-x or y= -x+11.

Hence, clearly we could see that the relationship is linear and also negative as the value of y keeps on decreasing with increasing x.

Hence, the set that represent a negative linear association between x and y is:

Set A.