Find the equation of the curve that passes through the point 0, 1 6 and whose slope at each point (x, y) is − x 12y .

How do you make x+2y=6 a linear equation

madreJ [45]

Subtract X
2y=-x+6
Then divide by 2
Y=-1/2x+3

5 0

3 years ago

* The nth term of sequence A is 3n − 2 The nth term of sequence B is 10 − 2n Sally says there is only one number that is in both

Nina [5.8K]

Answer:

Sally is not right

Step-by-step explanation:

Given the two sequences which have their respective $n^{th}$ terms as following:

Sequence A. $3n - 2$

Sequence B. $10 - 2n$

As per Sally, there exists only one number which is in both the sequences.

To find:

Whether Sally is correct or not.

Solution:

For Sally to be correct, we need to put the $n^{th}$ terms of the respective sequences as equal and let us verify that.

$3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}$

When we talk about $n^{th}$ terms, $n$ here is a whole number not a fractional number.

But as per the statement as stated by Sally $n$ is a fractional number, only then the two sequences can have a number which is in the both sequences.

Therefore, no number can be in both the sequences A and B.

Hence, Sally is not right.

7 0

2 years ago

X + y = 4<br> 3x + 4y= 14

Vaselesa [24]

Y = 4 - x
3x + 4(4-x) = 14
3x + 16 -4x = 14
-x = -2
x = 2
y = 2

7 0

2 years ago

Read 2 more answers

The playground of a school has areas fixed for various activities. One-fifth of the playground is used for students to sit and r

sertanlavr [38]

Answer:

2/3* 4/5 = 8/15

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached file below.

Given:

One-fifth (1/5) of the playground is used for students to sit and read
2/3 is used for playing soccer
The rest of the playground is used for playing basketball

So assume that the the playground is divided into 5 equal part

=> 1 part is used for students to sit and read or (1/5)

=> the remaining equal part is 4 or (4/5)

Because 2/3 of the remaining part is used for playing soccer

=> the equation represents the part of the playground used for soccer is:

2/3 of 4/5

= 2/3* 4/5

= 8/15

8 0

3 years ago

Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit

aalyn [17]

Answer:

Step-by-step explanation:

The type I error occurs when the researchers rejects the null hypothesis when it is actually true.

The type II error occurs when the researchers fails to reject the null hypothesis when it is not true.

Null hypothesis: The proportion of people who write with their left hand is equal to 0.23: p =0.23

Type I error would be: Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29

Since 0.29 is assumed to be the alternative claim.

Type II error would be: Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

Still with the assumption that 0.29 is the alternative claim.

3 0

3 years ago