MATHEMATICS COLLEGE

Write an equation in point-slope form, if m= 3 and passes through (4, 5).

Answers

Answer 1
Answer:

Answer:

y - 5 = 3(x - 4)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

Step 1: Define

Slope m = 3

Point (4, 5)

Step 2: Write equation

Point-Slope Form:   y - 5 = 3(x - 4)

Related Questions

Suppose we express the amount of land under cultivation as the product of four factors:Land = (land/food) x (food/kcal) x (kcal/person) x (population)The annual growth rates for each factor are:1. the land required to grow a unit of food, -1% (due to greater productivity per unit of land)2. the amount of food grown per calorie of food eaten by a human, +0.5%3. per capita calorie consumption, +0.1%4. the size of the population, +1.5%.Required:At these rates, how long would it take to double the amount of cultivated land needed? At that time, how much less land would be required to grow a unit of food?
Complete the pattern 4,15,7,12,10,9 ? ? ? show me how you got your work
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Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.x-intercept 7; y-intercept -5
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Danielle has a crate of books in four different genres: fantasy, nonfiction, thrillers, and romance. She randomly picks a book from the crate and replaces it. She repeats this experiment 60 times and gets the results shown in the table.Book Genre Times Picked

fiction 12

nonfiction 18

thriller 24

romance 6


Which genre of book does Danielle likely have the most of?

Answers

Answer:

Thriller, 24

Step-by-step explanation:

It has the most books shown.

Answer:

iM nOT toO suRE BUT I THINK ITS THRILLER BECAUSE IT HAS 24 AND 60/24=2.5

Step-by-step explanation:

The Food and Drug Administration advises people against eating fish with mercury concentrations exceeding 1 part per million (ppm). Researchers wonder if the average mercury content of large-mouth bass in a certain state exceeds the limits and, thus, make such fish inedible. They randomly sample largemouth bass from randomly selected lakes in this state and record the amount of mercury in each fish. What is the correct parameter in this example

Answers

Answer:

The average amount of mercury in the population of large-mouth bass in this particular state

Step-by-step explanation:

Parameters are properties that describe entire populations rather than a sample. Therefore, since researchers are focused on the average mercury content of large-mouth bass, the correct parameter for the experiment would be the average amount of mercury in the population of large-mouth bass in this particular state.

Find three consecutive integers whose sum is 216. (Hint: if n represents the smallest of the three integers, n + 1 and n + 2 representthe other two numbers.)

Answers

Answer:

71, 72, 73

Step-by-step explanation:

So we want to find three consecutive integers that equal 216.

Let the first integer be n.

Then the second integer is n+1, and the third integer is n+2.

Thus:

n+(n+1)+(n+2)=216

Combine like terms:

3n+3=216

Subtract 3 from both sides:

3n=213\n

Divide 3 from both sides:

n=71

So, the first term is 71.

And the other two is 72 and 73.

And we are done :)

Write two ways
you could use to find 5 + 8.

Answers

5 + 8 = 13 or
8 + 5 = 13

Forty-five CEO’s from the electronics industry were randomly sampled and a 99 % % confidence interval for the average salary of all electronics CEO’s was constructed. The interval was $101,866<μ<$115,016 $101,866<μ<$115,016 To make more useful inferences from the data, it is desired to reduce the width of the confidence interval. What will result in a reduced interval width? Select one: a. Any of these methods will result in a reduced interval width. b. Keep the sample size the same and decrease the confidence level. c. Keep the sample size the same and increase the confidence level. d. Decrease the sample size and keep the same confidence level.

Answers

Answer:

b. Keep the sample size the same and decrease the confidence level.

Step-by-step explanation:

We first have to find the critical value of z, which depends of the confidence level.

90% confidence level

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = (1-0.9)/(2) = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

99% confidence level

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = (1-0.99)/(2) = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

The width of the interval is:

W = z*(\sigma)/(√(n))

In which \sigma is the standard deviation of the population and n is the size of the sample.

So, as z increses, so does the width. If z decreases, the width decreases. Lower confidence levels have lower values of z.

As n increases, the width decreses.

What will result in a reduced interval width?

b. Keep the sample size the same and decrease the confidence level.

How do I write an equation for line l in point-slope and slope-intercept form? L is parallel to y=3x

Answers

The required point-slope and slope-intercept form of the line is y + 3 = 3 (x - 4) and y = 3x - 15 respectively.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Given line = y = 3x
The slope of the above line is,
m = 3
Line L parallel to line y = 3 x
so the slope of both lines will be the same,
Now,
The equation line passes through the point (4, -3),
Point slope form of the line,
y - y₁  = m (x - x₁)
y + 3 = 3 (x - 4)
y =3x - 12 -3
y = 3x - 15

Thus, the required point-slope and slope-intercept form of the line is y + 3 = 3 (x - 4) and y = 3x - 15 respectively.

 

Learn more about slopes here:
brainly.com/question/3605446

#SPJ2

Answer: y+4=3(x-2)

slope intercept form : y=3x-10

Step-by-step explanation:
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