Use quadratic regression to find a function that fits the following points. (-2,-16), (3,11), (0,2).

Answer:

y= -2x-22.

Step-by-step explanation:

1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;

2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);

3) the required equation in slope-interception form is:

y+16= -2x-6; ⇒ y= -2x-22.

note, the provided solution is not the only and shortest way.

Answer:

maybe A

Step-by-step explanation:

========================================================

Explanation:

The first term is 4 because of the notation [tex]a_1 = 4[/tex]

To get the second term, we'll use the recursive equation [tex]a_n = 5(a_{n-1})-1[/tex] which basically says [tex]\text{nth term} = 5*(\text{previous term})-1[/tex]. To get the second term, we'll multiply the first term by 5, then subtract off 1.

2nd term = 5*(1st term) - 1

2nd term = 5*4 - 1

2nd term = 19

This means [tex]a_2 = 19[/tex]

We repeat this process again to find the third term [tex]a_3[/tex]

[tex]a_n = 5*(a_{n-1})-1\\\\a_3 = 5*(a_{3-1})-1\\\\a_3 = 5*(a_{2})-1\\\\a_3 = 5*(19)-1\\\\a_3 = 95-1\\\\a_3 = \boldsymbol{94}\\\\[/tex]

The third term is 94

Answer:

How much did she start with tho???

Step-by-step explanation:

Answer:

3/7*2 5/6= 17/14 = 1 3/14 ≅ 1.2142857

Step-by-step explanation:

Conversion a mixed number 2 5/6 to a improper fraction: 2 5/6 = 2 5/6 = 2 ·6+ 5/6 = 12 + 5/6 = 17/6 1) Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/6 = 12/6

2) Add the answer from previous step 12 to the numerator 5. New numerator is 12 + 5 = 17

3) Write a previous answer (new numerator 17) over the denominator 6.

Two and five-sixths is seventeen sixths Multiple: 3/7 * 17/6 = 3 · 17/7 · 6 = 51/42

= 17 · 3/14 · 3 = 17/14. then you simplify.

I hope this helps

Answer:

19/23, 50/23

Step-by-step explanation:

We can take the first equation and isolate the x:

x + 5y = 3 ⇒ -5y ⇒

x = 3 - 5y.

Then we can substitute the x in the first equation by this:

3y + 2 = 4(3-5y) ⇒

3y + 2 = 12 - 20y ⇒ +20y

23y + 2 = 12 ⇒ -2

23y = 10 ⇒ ÷23

y = [tex]\frac{10}{23}[/tex]

Then we can add the value of y into the equation equaling x we made:

x = 3 - 5([tex]\frac{10}{23}[/tex]) ⇒

x = 3 - [tex]\frac{50}{23}[/tex] ⇒

x = [tex]\frac{19}{23}[/tex]

Hope this helps! :)

Answer:

Look at my solution

If the flight back to Boston against the same wind took 6 hours. The speed of the wind if the speed of the plane in still air is 550 mph is 50 mph.

Given data:

Boston to London = 5 hours

Flight back to Boston  = 6 hours

Still air = 550 mph

Using this formula

Speed (s) = Distance /Time

We need to formula an equation that will be used to find the speed

Equation: (550 + s)5 = (550 - s)6

So,

Let s represent the speed

(550 + s)5 = (550 - s)6

2750 +5s = 3300 - 6s

Collect like terms

6s +5s = 3300 - 2750

11s = 3300 - 2750

11s = 550

Divide both side by  11s

s= 550/11

s = 50mph

Therefore the speed of the plane is 50mph.

Learn more about speed here:https://brainly.com/question/28439044

#SPJ1

Answer:

4

Step-by-step explanation:

(25-18+5)/4=4

(insert the variables)

[tex] \rm \frac{2}{36} = \frac{3}{x} [/tex]

[tex] \rm\frac{1}{18} = \frac{3}{x} [/tex]

[tex] \rm x = 3 \times 18[/tex]

[tex] \rm x = \bold{54(d.)}[/tex]

Answer:

x < 4

Step-by-step explanation:

3x - 3 < 9 ( add 3 to both sides )

3x < 12 ( divide both sides by 3 )

x < 4

Answer:

x < 4.

Step-by-step explanation:

3x - 3 < 9

Add 3 to both sides:

3x < 9 + 3

3x < 12

Divide both sides by 3:

x < 4.

Answer:

120° , 80° , 90°

Step-by-step explanation:

The sum of the inner angles of a triangle is one hundred and eighty degrees. and as the diagram shows, The AB is equal to AC so angle ABC is equal to angle ACB so Angle A is 180°-(30°×2)=120°

you can get the second follow the above steps

and the third one is 2x+x+x=180°

so 4x=180°

so x=45°

so 2x=90°

Q.17) Given info:- In ∆ABC , AB = AC where, angle A = x°, angle B = 30°and angle C = ?°. Find the value of X in triangle ABC ?

Explanation:

Given that

ABC is a triangle

angle A = x°

angle B = 30°

angle C = ?°

And

AB =AC

We know that

In a triangle Angles opposite to equal sides are equal.

⇛Opposite angle to AB = Opposite angle to AC

⇛angle B = angle C

⇛angle B & C = 30°

We know that

The sum of all angles in a triangle is 180°

⇛ angle A + angle B + angle C = 180°

⇛30° + x° + 30° = 180°

⇛60° + x° = 180°

⇛x° = 180°÷60 = 180°:60

⇛x° = 180°/60

⇛x° = 3°

Now,

⇛angle A = x = 3°

⇛angle B = 30°

⇛angle C = 30°

Answer: The value of x for the given problem is 3°

Q.18) Given info:- In ∆ABC , AB = AC where, angle A = x°, angle B = 50°and angle C = ?°. Find the value of X in triangle ABC ?

Explanation:

Given that

ABC is a triangle

angle A = x°

angle B = 50°

angle C = ?°

And

AB =AC

We know that

In a triangle Angles opposite to equal sides are equal.

⇛Opposite angle to AB = Opposite angle to AC

⇛angle B = angle C

⇛angle B & C = 50°

We know that

The sum of all angles in a triangle is 180°

⇛ angle A + angle B + angle C = 180°

⇛ x° + 50°+50° = 180°

⇛x° + 100 = 180°

⇛x° = 180°÷100° = 180°:100°

⇛x° = 180°/100

⇛x° = 18°

Now,

⇛angle A = x = 18°

⇛angle B = 50°

⇛angle C = 50°

Answer: The value of x for the given problem is 18°

Q.19) Given info:- In ∆ABC , AB = AC and angle A = 2x°, angle B = x°, angle C = x°. Find the value of X in triangle ABC ?

Explanation:

Given that

ABC is a triangle

angle A = 2x°

angle B = x°

angle C = x°

And

AB =AC

We know that

In a triangle Angles opposite to equal sides are equal.

⇛Opposite angle to AB = Opposite angle to AC

⇛angle B = angle C

⇛angle B & C = x°

We know that

The sum of all angles in a triangle is 180°

⇛ angle A + angle B + angle C = 180°

⇛x° + 2x° + x° = 180°

⇛2x° + 2x° = 180°

⇛4x° = 180°

⇛x° = 180°÷4 = 180°:4

⇛x° = 180°/4

⇛x° = 45°

Now,

⇛angle A = 2x = 2(45) = 90°

⇛angle B = 45°

⇛angle C = 45°

Answer: The value of x for the given problem is 45°

Answer:

Hamm i don't know sorry a want yo help You Buy a can't because a don't know sorry

Answer:

D : 0

Step-by-step explanation:

f(0) = 0

Answer:

135=9r

Step-by-step explanation:

"product" means multiplication.

Answer:

\(x = 1\)

Step-by-step explanation:

Based on the given conditions, formulate: \(x = 12 \div 12\)

Cross out the common factor:\(x = 1\)

Answer: \(x = 1\)

Answer:

Step-by-step explanation:

Answer:

-5°C

Step-by-step explanation:

if you want to subtract a smaller number from a bigger number you can consider the number line attached below. I have marked 2 and -5 with blue ink.

When you use a number line, firstly see where your first number lies on the number line, in this case 2 is your first number. If you have to subtract a number, you have to move left and if you have to add a number you have to move right on the number line.

As you have to subtract 7 from 2, move 7 spaces to the left counting zero as a number. If you count 7 spaces to the left, it will end at -5.

So your answer is -5°C.

Hope this helps!!

Answer:

28 is less than 35 by 20%

35is greater than 28 by 20%

Answer:

49

Step-by-step explanation:

x multiplied by 0.51 is the same as 49% of x

Answer:It is D Step-by-step explanation:

Answer:

x= -5

Step-by-step explanation:

f(x)= -5x +10

35= -5x +10

35-10 =-5x

25/-5 =x

x= -5

Answer:

please no of one is not function so sorry

Answer:

It is n-6=n/2.

Step-by-step explanation:

I took the quiz.

Answer:

The answer is the blue dot

Step-by-step explanation:

You should remember that the x goes first in (x,y).

Answer:

2+17

x^{2}+17

x2+17

Step-by-step explanation:

Answer:

[tex](x+1)(x+8)[/tex]

Step-by-step explanation:

Hi there!

[tex]x^2+9x+8[/tex]

We must ask ourselves: What two factors of 8 add up to 9? That would be 1 and 8.

1 × 8 = 8 and 1 + 8 = 9.

Rewrite the expression accordingly:

[tex](x+1)(x+8)[/tex]

I hope this helps!

Answer:

use Pythagoras theorem a^2+b^2 = c^2 where c is the longest side of the triangle (hypotenuse)

3^2 + 4^2 = c^2 (c is the length of the ladder)

9 + 16 = c^2

25 = c^2

c = √25 (square root)

c = 5

Answer:

blahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

what goes around always come back around

Using the Central Limit Theorem, it is found that the correct option is:

(A) A sample of size 25 will produce more variability of the estimator than a sample of size 50.

By the Central Limit Theorem, for a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], considering the sampling distribution of sample means of size n, the measure of variability is the standard error, which is given by:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

A similar problem is given at https://brainly.com/question/24663213