What is the equation of the line of best fit for the following data ? Round the slope and y-intercept of the line to three decimal places

Answer:

5

Step-by-step explanation:

y ∝ x

y = k times x

where 'k' is constant

substitute y for -7 and x for -28

-7 = k times -28

-7 = -28k

Divide through by -28

[tex]\frac{-7}{-28}[/tex] = [tex]\frac{-28k}{-28}[/tex]

= [tex]\frac{1}{4}[/tex] =k

formula y = [tex]\frac{1}{4}[/tex] times x

y = [tex]\frac{1}{4}[/tex] times 20

y = 5

 By using the proportionality relation, at x = 20 the value of y will be 5.

Given in the question → y ∝ x

                                       y = kx

                                       Here, k = Proportionaility constant

It's given, when x = -28, value of y = -7

By substituting these values in the expression,

-7 = k(-28)

[tex]k=\frac{-7}{-28}[/tex]

k = [tex]\frac{1}{4}[/tex]

Therefore, given expression for the proportional relation will be,

[tex]y=\frac{1}{4}x[/tex]

If x = 20, we have to calculate the value of y,

Substitute x = 20 in the same expression,

[tex]y=\frac{1}{4}(20)[/tex]

y = 5

    Therefore, for the value of x = 20, value of y will be 5.

Learn more about the proportional relation here,

https://brainly.com/question/7096655?referrer=searchResults

Y-3 = -2(x+5)

Rewrite in slope intercept form:

y-3 = -2(x+5)

Simplify the right side:

y-3 = -2x -10

Add 3 to both sides:

y = -2x -7

The y intercept is -7

Answer:

Yes.

Step-by-step explanation:

We'll substitute in the values in both equations.

[tex]2x-3y=-5[/tex]        [tex]4x-4y=-4[/tex]

[tex]2(2)-3(3)=-5[/tex]   [tex]4(2)-4(3)=-4[/tex]

Distribute.

[tex]4-9=-5[/tex]             [tex]8-12=-4[/tex]

Simplify.

[tex]-5=-5[/tex]                [tex]-4=-4[/tex]

Yes, it is a solution. You can plug the equations into Desmos to check.

Answer:

[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]

Step-by-step explanation:

Given functions are:

[tex]s(x)= x+6\\t(x)= 4x^2[/tex]

We have to find:

(s.t)(x) => this means we have to multiply the two functions to get the result.

So,

[tex](s.t)(x) = s(x)*t(x)\\= (x+6)(4x^2)\\=4x^2.x+4x^2.6\\=4x^3+24x^2[/tex]

Also we have to find

(s-t)(x) => we have to subtract function t from function s

[tex](s-t)(x) = s(x) - t(x)\\= (x+6) - (4x^2)\\=x+6-4x^2[/tex]

Also we have to find,

(s+t)(-3) => first we have to find sum of both functions and then put -3 in place of x

[tex](s+t)(x) = s(x)+t(x)\\= x+6+4x^2[/tex]

Putting x = -3

[tex]= -3+6+4(-3)^2\\=-3+6+4(9)\\=3+36\\=39[/tex]

Hence,

[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]

Answer:

Slope = 3

Step-by-step explanation:

For a proportional relationship, the slope of the line is simply y/x.

So using any given pair of values from the table, say (1, 3), the slope is:

y/x = 3/1

Slope = 3

Answer:

∠BCH ⩭ ∠DCG  ;Opposite angles of a parallelogram are congruent.

Step-by-step explanation:

Answer:

To run one lap Lin takes 1.6 minutes.

Step-by-step explanation:

To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.

Answer:. 30 : 48

40:64

Step-by-step explanation: The hint is in the table where the rows highlighted in pink, multiples of 5 and 8, contain the values of the original given ratio, 10:16

Equivalent ratios include any of the corresponding values in columns AND that are in the pink rows.

5:8, 10:16, 15:24, 20:32 . . .

We can see the pattern; pairs of multiples of the factors of the numbers in the original ratio are equivalent ratios.

Answer:

answer is in photo. please try again yourself.

Answer:I zoom in but it blurry .

Sorry but have a great day.

Step-by-step explanation:

Answer:

If the discriminant of the quadratic equation is zero then it will have 2 equal roots.

If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots.

If the discriminant of the quadratic equation is less than zero then it will have no roots.

Step-by-step explanation:

hope this helped

Answer:

1,200 out of 2000 doctors use X aspirin

Step-by-step explanation:

Answer:Yes

Step-by-step explanation:

Answer:

the answer is

12 = y - 5

y=17

x+2 = 4

x=2

Answer:

0.57575757 / 1

Step-by-step explanation: :)

Answer:

0.5757=19/33

Explanation:

Let x=0.5757

100x=57.5757

100x−x=57.5757−0.5757=57

99x=57

x=57/99=19/33

Answer:

5 by the power of 5

3125 is the answer

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\large\textsf{5(5)(5)(5)(5)}[/tex]

[tex]\huge\textbf{Solving for your equation:}[/tex]

[tex]\large\textsf{5(5)(5)(5)(5)}[/tex]

[tex]\large\textsf{= 25(25)(5)}[/tex]

[tex]\large\textsf{= 625(5)}[/tex]

[tex]\large\textsf{= 3,125}[/tex]

[tex]\huge\textbf{Or you could simply say:}[/tex]

[tex]\large\textsf{5(5)(5)(5)(5)}\\\uparrow\ \uparrow \ \ \ \uparrow \ \ \ \uparrow \ \ \uparrow\\\large\textsf{1 2 \ 3 \ \ 4 \ 5}\\\\\large\text{Seems to me that you have a 5 fives. So, most likely your exponent: }\\\large\boxed{\rm{5^5}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{{Original\ answer \rightarrow \frak{3,125}}}\huge\checkmark\\\\\\\huge\boxed{Exponenential\ form \rightarrow \frak{5^5}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Area of big rectangle - area of mini rectangle

56in2 - 3in2

B. 53 in2

Step-by-step explanation:

Separate the two rectangleulsr shapes. 3x6 which equals 18.

8-3=5

5×7= 35

35+18= 53

B. 53 in sq

[tex] \sqrt{64} = 8[/tex]

[tex] \sqrt{81} = 9[/tex]

[tex] \sqrt{96} = 4 \sqrt{6} [/tex]

[tex] \sqrt{144} = 12[/tex]

[tex]ırratıonal \: number\: lıke \: \pi \: 0.6 \: \sqrt{3} \: etc[/tex]

Answer is C

Ans 7, 9, 11

Step-by-step explanation:

Think of it as an equation.  You have 3 integers x, y, and z.

x + 2y = z + 14.  

Plug in consecutive odd integers, picking your next set of trial and error integers based on how far off the equation is.

In this case, 7 + (2 * 9) = 11 + 14

In this example, it took me three attempts to get the correct answer.

Answer:

x>2 or x>6

Step-by-step explanation:

2x+6<10 or 2x+8>20

2x>4 or 2x>12

x>2 or x>6

Inequalities help us to compare two unequal expressions. The correct option is D.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The two of the given inequalities can be solved as shown below.

2x + 6 < 10

Subtract 6 from both sides of the equation,

2x + 6 - 6 < 10 - 6

2x < 4

Divide both the sides of the equation by 2,

2x/2 < 4/2

x < 2

2x + 8 > 20

Subtract 8 from both sides of the equation,

2x + 8 - 8 > 20 - 8

2x > 12

Divide both the sides of the equation by 2,

2x/2 > 12/2

x > 6

Hence, the correct option is D.

Learn more about Inequality here:

https://brainly.com/question/19491153

#SPJ2

Answer:

Jan would have traveled about 1500 miles

Answer:

78ft

I got it off of apec

Answer:

1. Yes

2. No

3. No

4. Yes

Answer: 850

Step-by-step explanation:

if  250 miles takes 5 gallons then 7 gallons may give you about 850.

It looks like your just adding on 2 more.

Answer:

350 miles

Step-by-step explanation:

5 gallons of gas - 250 miles

7 gallons of gas - [tex]\frac{7}{5}[/tex] × 250 miles = 350 miles

Answer:

A square field has a perimeter if 3.6km what is the length of one side in metres

Step-by-step explanation:

A square field has a perimeter if 3.6km what is the length of one side in metres

Given,

We need to find,

As we know that,

→3600=4s

→3600/4=side

→Side=900m

Answer:

She buys 2/8 more pound of granola than banana chips

Step-by-step explanation:

Answer:

NO

Step-by-step explanation: