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3 years ago

How to write the inverse of 3x+4y=12 in f^-1 (x)?

1 answer:

8 0

3x+4y=12

4y=12-3x

y=(12-3x)/4 <---------- This is f(x)

---------------------

3x+4y=12

3x=12-4y

x=(12-4y)/3

Therefore:

f⁻¹(x)=(12-4x)/3

=[4(3-x)]/3

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For which value of a does Limit of g(x) as x approaches alpha not exist?

Hunter-Best [27]

The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

<h3>Limit of a function</h3>

The limit of a function is the limit of a function as x tends to a value.

From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.

Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

Learn more on limit of a function here: brainly.com/question/23935467

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1 year ago

What is the measure of angle x?

sammy [17]

The measure of x is 47

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4 0

3 years ago

Read 2 more answers

On a hiking trip,LaShana notes that she hikes about 12 kilometers every 4 hours .If she continues at this rate,use a ratio table

Evgesh-ka [11]

12 : 4 = 3 km her <span>speed per hour
3 * 6 = 18 km </span><span>she could hike in 6 hours</span>

4 0

3 years ago

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

3 years ago

Suppose that the concentration of a bacteria sample is 60 comma 000 bacteria per milliliter. If the concentration triples in 4

Elodia [21]

Answer:

1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

Step-by-step explanation:

The inicial concentration is 60,000, and this concentration triples every 4 days, so we can write the equation:

P = Po * r^t

where P is the final concentration after t periods of 4 days, Po is the inicial concentration and r is the ratio that the concentration increases (r = 3)

Then, we have that:

102000 = 60000 * 3^t

3^t = 102/60 = 1.7

log(3^t) = log(1.7)

t*log(3) = log(1.7)

t = log(1.7)/log(3) = 0.483

so the number of days that will take is 4*0.483 = 1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

3 0

3 years ago