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3 years ago

Rewrite in slope-intercept form: 2y + 2x = 2

Mathematics

1 answer:

Ann [662]3 years ago

7 0

Answer:

The slope-intercept form of the equation is y = -x + 1.

Step-by-step explanation:

Hey there!

We are given an equation in the standard form of the equation type Ax + By = C. We would like to work with this equation to rewrite it in the slope-intercept form.

Slope-intercept form is represented by the equation y = mx + b.

The equation we have been given can be manipulated to match the slope-intercept form equation.

$2y + 2x = 2$

Our main goal is to get the y-variable on the left side of the equation and by itself. To achieve this, we can subtract 2x from both sides of the equation.

$2y = -2x + 2$

Now, we still need to get the y-variable by itself, so to get rid of its coefficient of 2, we can divide both sides of the equation by 2.

$y = -x + 1$

Therefore, our original equation has been translated to slope-intercept form.

Learn more about slope-intercept form and standard form here: brainly.com/question/24436844

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Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h

kirza4 [7]

Answer:

95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.

Step-by-step explanation:

Confidence interval is given as mean +/- margin of error (E)

Data: 5, 15, 12, 22, 27

mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months

sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months

n = 5

degree of freedom = n-1 = 5-1 = 4

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776

E = t×sd/√n = 2.776×7.68/√5 = 9.53 months

Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months

Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months

95% confidence interval is (6.67, 25.73)

3 0

3 years ago

Petra jogs 5 miles in 40 minutes at the rate how long would it take her to jog 11 miles

KatRina [158]

88 minutes (1 hour and 28 mins)

Since 5 miles takes 40 minutes, multiplying both numbers by 2 gets you to 10 miles in 80 minutes. To get the extra 1 more miles you have to find the unit rate

5 miles in 40 minutes : divided both numbers by 5 to get
1 mile in 8 minutes
add the one mile in 8 minutes to the 10 miles in 80 mins and you get 11 miles in 88 minutes

6 0

3 years ago

What is the main idea of the White House

Genrish500 [490]

Answer:

The White House is the solemn residence and the workplace of the President in the United States Of America. The president can also have his family there.

Step-by-step explanation:

The main motto or goal of the white house is to give and protect the fundamental rights of United States citizens

6 0

3 years ago

Find the slope of the line that passes through the following points. Write "undefined" if the slope is undefined.

Katyanochek1 [597]

The slope of the line that passes through the following points is undefined

Solution:

Given that, We have to find the slope of line passing through two points

Given points are (-1, 5) and (-1, 6)

The slope of line is given by formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (-1, 5)\\\\(x_2, y_2) = (-1, 6)$

Substituting the values we get,

$m = \frac{6-5}{-1-(-1)}\\\\m = \frac{1}{-1+1}\\\\m = \frac{1}{0}$

Thus the slope is undefined

5 0

3 years ago

The sum of 9 and twice a number

timofeeve [1]

Answer:

2x + 9

Step-by-step explanation:

Let, "A number", be denoted by the variable, x.

Note the meaning of each part:

"the sum" means addition, or + .

"twice" means multiply by 2

Put the parts together:

The sum of 9 and twice a number

2x + 9 is your amsw34.

3 0

3 years ago