All categories

2 years ago

Rearrange 3x - 6y = -2 to the form y=mx + c

Mathematics

2 answers:

wel2 years ago

5 0

3x - 6y = -2

-6y = -3x - 2, divide through by -1

6y = 3x + 2, divide through by 6

y = 3x/6 + 2/6

y = x/2 + 1/3

Troyanec [42]2 years ago

4 0

Answer:

y = 1/2x - 1/3

Step-by-step explanation:

subtract 3x from each side first to get:

-6y = -3x - 2

divide each side by -6 to get:

y = 3/6x - 2/6

simplify:

y = 1/2x + 1/3

You might be interested in

The cost of renting a video game is $4 per

Leya [2.2K]

Answer:

Step-by-step explanation:

4x3=12

7 0

2 years ago

Read 2 more answers

Which expression shows the prime factorization of 36?

Svetradugi [14.3K]

36....we need to break this down...12 * 3 = 36
12 * 3....we can break this down because 12 is not prime...4 * 3 = 12
4 * 3 * 3...we can break the 4 down because it is not prime
2 * 2 * 3 * 3 <==== prime factorization

6 0

3 years ago

200x - y + 500= 0 Put it in Y=mx + b form

blondinia [14]

Answer:

Step-by-step explanation:

1. Put y on the other side - 200x + 500 = y

y= 200x +500

See, this works because -y, when bringing it to another side, you would be adding it. That cancels out the negative, giving you your slope-intercept form. All you have to do is flip it into y=mx + b form, and that's how you get y=200x + 500

7 0

2 years ago

Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - α)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of z for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

4 0

2 years ago

Find the value of x.

Firlakuza [10]

Answer:

x=34 degrees

Step-by-step explanation:

since angle TSU=4x then angle RSP=4x

4x-3x=x

angle PSQ=x

angle PQS=112 degrees (180-68=112)

triangle PSQ angles are x+x+112=180

2x-68

x=34 degrees

4 0

2 years ago