Use linear regression to find a function that fits the following points. (-2,-1), (3,9).​

Answers

Answer 1

Step-by-step explanation:

[tex] \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} [/tex]

[tex] \frac{y - ( - 1)}{9 - ( - 1)} = \frac{x - ( - 2)}{3 - ( - 2)} [/tex]

[tex] \frac{y + 1}{ \cancel{10}} = \frac{x + 2}{ \cancel{5} }[/tex]

[tex] \frac{y + 1}{2} = \frac{x + 2}{1} [/tex]

[tex]1.(y + 1) = 2.(x + 2)[/tex]

[tex]y + 1 = 2x + 4[/tex]

[tex]y = 2x + 4 - 1[/tex]

[tex]y = 2x + 3[/tex]


Related Questions

The price of a television in a certain store was a dollars in June. On the first day of each month after June, the price was reduced by 20 percent of the price for the previous month. What was the price of the television during the month of Sep- tember?​

Answers

Answer:

0.8

Step-by-step explanation:

multiply 1.00 .20 4 times

Function g is a transformation of the parent exponential function, . Which graph shows function g?

Answers

Answer:

the answer is b! i got the same question before!

Step-by-step explanation:

67/100 simplificado
1/4 simplificado​

Answers

[tex] \sf{La \: \: fracción \: \: \dfrac{67}{100} \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

A la igual que la otra Operación:

[tex] \sf{La \: \: fracción \: \: \dfrac{1}{4 } \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

Ninguna tiene factores comunes.

Espero que te sirva, salu2!!!!

The fraction 67/100 It cannot be simplified.

It cannot be simplified since the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

The fraction 1/4 Nor can it be simplified.

Since If the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

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How do you solve for x? X is not 34°, just to let you know.

Answers

Answer:

x = 90

Step-by-step explanation:

X is equal to 90 degrees:

As you can see it forms paralell line we know paralell line is equal to 180 degrees just divide it by 2, so 90

PLSS HELP ME WITH THIS 20 POINTSS!! The graph below shows a proportional relationship between 2 and 4. What is the constant of proportional y/x

Answers

Answer:

3.5.

Step-by-step explanation:

Y = kx   where k is the slope of the line

k = y/x

The slope 3/5/1 = 3.5

y/x = 3.5.

PLEASE HELP!!!!!!!!!!!!!

Answers

Answer:

d this is the answer that I got sorry if its wrong

What do you know about measure AEB compared to angle ADB?

Answers

Answer:

[tex]m \angle AEB = m \angle ADB[/tex]

Step-by-step explanation:

By the Inscribed Angle Theorem, since both angles have the same intercepted arc, they are congruent.

Which equation does NOT represent a vertical asymptote of the graph of y=tanθ?

A. θ=-pi/2
B. θ=0
C. θ=pi/2
D. θ=3pi/2

Answers

The value of theta where we do not have a vertical asymptote is θ = 0.

Where we do not have a vertical asymptote?

The vertical asymptotes happen when the denominator becomes equal to zero.

For our case, we have:

tan(θ) = sin(θ)/cos(θ).

So the vertical asymptotes are for the values of θ where the cosine is equal to zero. Particularly, cos(0) = 1, then in θ = 0 the denominator is not equal to zero, which means that at that value we do not have an asymptote.

Then the correct option is B.

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All of the following countries were impacted by Chernobyl EXCEPT...
A. Great Britain
B. Brazil
C. Norway

Answers

Answer:

B: Brazil

Step-by-step explanation:

The Chernobyl impacted Belarus, Russia, and Ukraine as well as many other European countries. And Brazil isnt a European country.

( I hoped this helped)

The product of -5/7 and -2/5 is

Answers

Answer:2/7

Step-by-step explanation:

TThe solution is in the image

Find the area of EFGH

Answers

The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of triangle ABC, hence:

18 ft² = (1/2) * 3 * h

h = 12 ft

Let x represent the height of triangle EFG, hence:

x/12 = 2/3

x = 8 feet

Area of EFG = (1/2) * 2 * 8 = 8 ft²

The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².

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Show that if AB=DC in the figure below, then AB is parallel to CD.

Answers

AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

What are the properties of a parallelogram?

Note, the figure is a parallelogram

Some properties of a parallelogram are:

The opposite sides of a parallelogram are parallel and equal.The opposite angles are equal.The consecutive angles are supplementary, that is, the sum up to 180°The two diagonals divide each other.

if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.

Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

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In circle H with m/GHJ = 70 and GH = 10 units, find the length of arc GJ.
Round to the nearest hundredth.

Answers

Answer:

GH8 remains 70 and gh remains 10

Step-by-step explanation:

there is no five or more

6. The three sides of a triangle are in the ratio 2 : 3 : 4 and the perimeter
225 m. Find its area.

Answers

First step:
Add up all the parts in the ratio:
2 + 3 + 4 = 9

Second step:
Do 225 divided by 9, this helps you get the value of each part:

225 divided by 9 = 25

Third step:
Find the value of each ratio sector, this is done by doing:

2 times 25 = 50
3 time 25 = 75
4 times 25 = 100

Last step:
Area:
75 times 50 = 3750

Final answer is 3750.

Hope this helps!
Please give Brainliest!

Find the value marked b?

Answers

Based on the alternate interior angles theorem, the value marked b is calculated as: 190°

What is the Alternate Interior Angles Theorem?

The theorem states that two alternate interior angles are always congruent to each other.

The measure of angle b based on the alternate interior angles theorem would be:

m∠b = 50 + (320 - 180)

m∠b = 190°

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It costs $10 to enter a theme park and $2 for each ticket, t. Which equation represents the total cost, c, of going to the theme park?​

Answers

the answer in would be,
c = 2t+10

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

The answer to writing this graph in fully simplified slope-intercwpt form is y = 1/5x - 7.

You might need:
Calculator
f(t) = 2 + 19t + 60
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
smaller t=
larger t =
2) What is the vertex of the parabola?

Answers

Here is the answer (look at the photo)

Evaluate the equation. H divided by 3 = 69 2/3

Answers

Answer:

138

Step-by-step explanation:

Do the inverse. 69 2/3 multiplied by 3 is 138.

Write the equation of the conic section shown below.

Answers

Answer:

f(x) = -5/81( x^2 -2x - 80)  

Step-by-step explanation:

The zeroes are -8 and 10 so we can write :

f(x) = -a(x - 10)(x + 8)  

( negative is because the parabola opens downwards).

The maximum value is at the vertex = 5.

f(x) = -a(x^2 - 2x - 80)

       =  a[(x - 1)^2 - 1 - 80)

        = a(x - 1)^2 - 81a

As the vertex is at f(x) = 5

81a = 5 so a = 5/81

So the equation is

f(x) = -5/81( x^2 -2x - 80)    

   

1. Express 729 as a power of 3.
(a) 38 (b) 36 c) 9³ d) none of these​

Answers

Answer:

Option C: 9³

Step-by-step explanation:

9 * 9 = 81

( 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 +9 )

81 * 9 = 729

( 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81)

What is the measure of Angle A in the triangle
shown?

Answers

Answer:

44degrees

Step-by-step explanation:

I've just replaced letter A with x so that I can make it easier for me to get the value of x and after adding 54 + 82 I got 136 and when I transferred it to the other side I subtracted it from 180 because it had a positive sign before it and if it is carried out the other side it becomes a negative which means I should subtract hope you got me.

in short once a positive number is carried to the other side I mean past the equals sign then it changes to negative hope it helps

What are the values of x and y?

Answers

Step-by-step explanation:

In figure:

∠PRT+∠RTP+∠TPR=180

O

(angle sum property of triangle)

⇒x+(180

O

−∠RTQ)+60

O

=180

O

(linear pair)

⇒x+(180

O

−97

0

)+60

o

=180

O

⇒x=31

o

Now, ∠PRT+∠TRQ+∠QRS=180

O

(angle of straight line)

⇒x+48

o

+y=180

O

⇒31

o

+48

o

+y=180

O

⇒y=101

0

In circle O, AD and BE are diameters. The measure of arc AB is 55° and the
measure of arc CD is 25º.
What is the measure of BC?
80
110
90
100

Answers

100. the diameter means the other half, so arc AD is 180 on both sides. so that means we can do 180-(25+55), which equals 100

Answer:

Arc AB = 55°

Angle AOB = 55° ( Centre angle is equal to respective arc )

Arc CD = 25°

Angle COD = 25° ( Centre angle is equal to respective arc )

Angle AOB + Angle BOC + Angle COD = 180° ( AD is the diameter)

55° + Angle BOC + 25° = 180°

Angle BOC + 80° = 180°

Angle BOC = 100°

A recipe for chocolate pudding calls for 600 milliliters of milk and 120 milliliters of heavy cream. How many liters of liquid are needed for 2 servings of pudding? I promise I will mark you brainliest answer.

Answers

Given:Milk= 600 mlHeavy cream= 120 mlTo find:

The amount liters of liquid needed for 2 servings of pudding.

Solution:1 serving:

[tex]600 + 120[/tex]

[tex] = 720 \: ml[/tex]

2 serving:

[tex]720 \times 2[/tex]

[tex] = 1440 \: ml[/tex]

Let's solve

[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]

[tex] \frac{1440}{1000} [/tex]

[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]

Therefore, 1.44 litres of liquid are required for 2 servings.

In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character

Answers

A because it was telling you about the emperor

Help please need asap!! Thank you

Answers

Answer:

your welcome    

Step-by-step explanation:

....bbc

The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 salaries and find that x bar = $111,000 . Use this information for both parts. Part 1: What is the lower limit of this 95% confidence interval? (Round to the nearest whole number)

Answers

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]\overline{x} = 111000, \sigma = 36730, n = 36[/tex]

Hence, the lower bound of the interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002[/tex]

The lower limit of the 95% confidence interval is of $99,002.

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Ten blackberry plants start growing in my yard. Absent constraint, blackberries will spread by 200% a month. My yard can only sustain about 50 plants. Using the logistic growth model, a. Write a recursive formula for the number of blackberry plants in my yard b. Calculate the number of plants after 1, 2, and 3 months

Answers

The recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

The recursive function

The given parameters are:

Initial = 10Maximum = 50Growth rate = 200%

The number of plants in month n is calculated using:

Tn = Tn-1 * (1 + 200%)

This gives

Tn = 3Tn-1

Hence, the recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

The number of plants after 1, 2, and 3 months

This means that n = 1, 2, 3

When n = 1, we have:

T1 = 3To = 3 * 10 = 30

When n = 2, we have:

T2 = 3T1 = 3 * 30 = 90

90 is greater than the maximum number of plant the backyard can contain

Hence, the number of plants after 1 month is 30 and the plants in the backyard would exceed 50 plants before the end of the 2 months

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The new floor plan for the interior of a home is below. Marisa wants to cover various parts of the floors with carpet, tile, or wood.

If tile costs $1.29/sq. ft., how much will the tiled portion of the floor plan cost?
A) $1,548.00
B) $1,161.00
C)5387.00
D) $774.00

Answers

Answer:

C. $774.00

Step-by-step explanation:

First, you have to find the area of the area that is tile, in this case, it is a trapezoid.

Area of Trapezoid formula:

A= 1/2(b1+b2)h

h= height

b=base

A= 1/2(15+25)30

A= 1/2(40)(30)

A=1/2(1,200)

A= 600

Now, you multiply 600 by the cost of the tile to get how much money it will cost.

600*1.29= $774.00

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