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3 years ago

4/x-1 + 3/x -3=0 (Solving rational expressions)

1 answer:

7 0

$\frac{4}{x - 1} + \frac{3}{x - 3} = 0 \\ \frac{4}{x - 1} = \frac{ - 3}{x - 3} \\ 4( x - 3) = - 3( x - 1) \\ 4x - 12= - 3x + 3 \\ x = 15$

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Evaluate the expression 2x-y for x=17 and y=12

mafiozo [28]

Answer:

The answer is 22.

Step-by-step explanation:

1) Replace the x with 17, and the y with 12.

2) 2(17) - 12

3) 2x17 = 34

4) 34 - 12 = 22

6 0

3 years ago

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A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor

Katena32 [7]

Answer:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Thus, Exam 3 score becomes the dependent variable and exam 1 score is the independent variable.

The regression equation is given by:

$\hat{y} = 50.57+0.4845x$

Comparing the equation to a linear equation:

$y = mx + c$

m = 0.4845

c = 50.57

Where m is the slope and tells the rate of change and c is the y intercept that is the value of y when x is 0.

When, there is a increase in x, we can write:

$\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1) - \hat{y}(x) = 50.57+0.4845(x+1)-(50.57+0.4845x)\\\hat{y}(x+1) - \hat{y}(x) = 0.4845$

Thus, the slope of equation can be interpreted as:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

5 0

4 years ago

What is the mode median and mean

stellarik [79]

The mode is 17 because it occurs most often.

There are 23 data points, so the 12th one is the median (middle). The median is 15.

The mean is 15.435 because it is the average. Add up all the ages, then divide by the number of people.

8 0

3 years ago

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HELP HELP HELP Quick algebra 1 question What is the slope of this graph?

Nataly [62]

Hello and Good Morning/Afternoon:

To find the slope of something:

⇒ let's consider what the formula of the slope needs

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

⇒ needs any two points on the line (x₁,y₁) and (x₂,y₂)

Let's get the required information:

(x₁,y₁) ==> (0,0)

(x₂,y₂) ==> (5,2)

Let's solve:

$Slope = \frac{2-0}{5-0} =\frac{2}{5}$

Answer: 2/5

Hope that helps!

#LearnwithBrainly

5 0

2 years ago

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Need help fast on a timer

nikitadnepr [17]

Answer:

D, $10i\sqrt{2}$

Step-by-step explanation:

Separate -1, 2, and 100 from each other inside the radical. You can take out -1 as i, and 100 as 10. You now have 10i on the outside of the radical and 2 on the inside. Hope this helps.

3 0

3 years ago

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