Create two equations, one that will model a linear relation and one that will not (e.g., y = -3x +2, y = 4x2 -7). Describe the ways by which you could determine whether it is a linear relation. Include calculations, graphs, tables of values and anything else you feel will support your argument.

Answer:

The correlation coefficient "tell us" that the model in question does not fit the data well (the correlation coefficient is near zero), in whose case we need to find another that can do it.

Step-by-step explanation:

Roughly speaking, the correlation coefficient "tell us" if two variables could present the following behavior:

As we can follow from the question, a correlation coefficient of 0.02 is near to zero. In this case, the correlation coefficient is "telling us" that the two variables do not follow the cases 1 and 2 above described. Instead, it follows the case 3.

Therefore, the model in question does not fit the data well, in whose case we need to find another that can do it. For example, if the model is linear, we need to test an exponential model.

It is important to remember that the correlation coefficient does not tell us anything about that one variable causes the other variable, only behaviors as described above.

Answer:

Step-by-step explanation:

( 3 √ 3)(6√6) = ( 3 × 6) (√ 6 × 3)

= 18√18 = 18( √ 9 × 2)

= 18 ( √9 × √2)

= 18( 3√2)

= ( 18 × 3)√2

Hope this helps you

3√3 x 6√6

multiply whats outside the radical and put it outside:

6 x 3 = 18 ------> 18√x

and multiply what's inside and place it inside:  

3 x 6 = 18  --------> x√18

so now, you have 18√18, which can be simplified to:

18√(9 x 2)

18√9√2 = 18*3√2 =   54√2                                    

Answer:

she needs to save up for 3 months

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here is another example :

Answer:

B. rotation 90° counterclockwise about the origin.

Step-by-step explanation:

Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.

Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.

In the given question, ∆ABC is  mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.

The correct option is (B). rotation 90°counterclockwise about the origin.

Given, ∆ABC and ∆A'B'C' are shown in attached figure.

We have to map ∆ABC onto ∆A'B'C',.

A transformation is a general term for four specific ways to manipulate the shape and or position of a point, a line, or geometric figure.

Transformation is  also the process by which the size or orientation of a given figure is altered without any effect on its shape.

A rotation is a transformation in which the object is rotated about a fixed point.The direction of rotation can be clockwise or anticlockwise.

It is clear from the fig that the ∆ABC can be mapped over ∆A'B'C' by the rotation of  90°counterclockwise about the origin.

Hence the correct option is (B). rotation 90°counterclockwise about the origin.

For more details follow the link:

https://brainly.com/question/1571997

Answer:

[tex]m=-\frac{13}{20.8}=-0.625[/tex]

Nowe we can find the means for x and y like this:

[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]

[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]

And we can find the intercept using this:

[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]

So the line would be given by:

[tex]y=-0.625 x +9[/tex]

Step-by-step explanation:

We have the following data:

X: 3,3,2,1,7

Y:6,7,8,9,5

We want to find an equationinf the following form:

[tex] y= bX +a[/tex]

[tex]a=m=\frac{S_{xy}}{S_{xx}}[/tex]

Where:

[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]

[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]

So we can find the sums like this:

[tex]\sum_{i=1}^n x_i = 3+3+2+1+7=16[/tex]

[tex]\sum_{i=1}^n y_i =6+7+8+9+5=35[/tex]

[tex]\sum_{i=1}^n x^2_i =72[/tex]

[tex]\sum_{i=1}^n y^2_i =255[/tex]

[tex]\sum_{i=1}^n x_i y_i =99[/tex]

With these we can find the sums:

[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=72-\frac{16^2}{5}=20.8[/tex]

[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=99-\frac{16*35}{5}=-13[/tex]

And the slope would be:

[tex]m=-\frac{13}{20.8}=-0.625[/tex]

Nowe we can find the means for x and y like this:

[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]

[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]

And we can find the intercept using this:

[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]

So the line would be given by:

[tex]y=-0.625 x +9[/tex]

Answer:

2x+y

Step-by-step explanation:

Simply remove the +2

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y + 2 = 0 ( subtract 3x + 2 from both sides )

y = - 3x - 2 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (3, - 4) into the partial equation

- 4 = - 9 + c ⇒ c = - 4 + 9 = 5

y = - 3x + 5 ← equation of line in form y = mx + c

Answer:

108cm[tex]^{3}[/tex]  (B)

Step-by-step explanation:

Find the area of the triangle first.

6 * 4  = 24/2 = 12

Multiply by the width.

12 * 9 = 108

Hey there! :)

Answer:

B. V = 108 cm³.

Step-by-step explanation:

Find the volume of the triangular prism using the formula:

V = 1/2(bh) where b = l × w

Solve for the base:

b = 4 × 9

b = 36 cm²

Plug this into the formula for the volume:

V = 1/2(36 · 6)

V = 1/2(216)

V = 108 cm³. The correct answer is B.

Answer:

The unit prices will be within the range of $0.77 ≤x≤$0.78

Step-by-step explanation:

If a package 8-count AA batteries cost $6.16 and a package of same 20-count AA batteries cost $15.60, to calculate the unit price, the following steps must be carried out:

8 counts AA batteries = $6.16

A unit price (i.e 1 count) = x

Cross multiplying

8 × x = 6.16 × 1

x = 6.16/8

x = $0.77 for a unit price

Similarly, if 20-count AA batteries cost $15.60, then:

20 counta = $15.60

1 count = x

Cross multiplying

20 × x = $15.60 × 1

x = $15.60/20

x = $0.78 for a unit price

From above calculation, of can be seen that the unit price is almost similar but with a difference of $0.01 ($0.78-$0.77) which is insignificant. Based on this, we can conclude that a unit price of the battery is between the range

$0.77 ≤x≤$0.78

Answer:

The 8-count pack of AA batteries has a lower unit price of 0.77

per battery.

Step-by-step explanation:

Answer:

y= -3x+2

Step-by-step explanation:

Parallel lines have the same slope. We can form an incomplete equation:

y= -3x+b

(make sure to see why the slope is -3)

We can plug in the coordinates of (2, -4):

-4= -3(2)+b

-4= -6+b

2=b

b is 2! We can form an equation: y= -3x+2

Answer:

The answer is

Step-by-step explanation:

(x+3)(2x-4)(x-6)

Expand

We have

(x + 3) ( 2x² - 12x - 4x + 24)

(x + 3)( 2x² - 16x + 24)

2x³ - 16x² + 24x + 6x² - 48x + 72

Simplify

Group like terms

2x³ - 16x² + 6x² + 24x - 48x + 72

We have the final answer as

Hope this helps you

Answer:

24 minutes

Step-by-step explanation:

Fred can mow a lawn in 60 minutes.

Fred's Rate  [tex]=\frac{1}{60}[/tex]

Rocky can mow the same lawn in 40 minutes.

Rocky's rate [tex]=\frac{1}{40}[/tex]

Let the time it will take both of them = x minutes

Therefore:

[tex]\frac{1}{60}+\frac{1}{40}=\frac{1}{x}\\$Multiply all through by 1200$\\1200\times \frac{1}{60}+1200\times\frac{1}{40}=1200\times\frac{1}{x}\\20+30=\frac{1200}{x}\\50=\frac{1200}{x}\\$Cross multiply\\50x=1200\\Divide both sides by 50\\x=24\\[/tex]

It would take the two of them 24 minutes to mow the lawn.

Answer:

The pyramid's height h = 12 ft

Step-by-step explanation:

Notice that the slant height of the pyramid forms a right angle triangle with the segment that joins the bottom end of the slant height with the center of the pyramid's base, and with the pyramid height (h).

The segment joining the slant height with the center of the pyramid's base is one half of the side of the base in length, so that it; 16 feet.

then we have a right angle triangle with hypotenuse given by the pyramid's slant height (20 ft), a leg given by 16 ft, and we need to find the length of the second leg (pyramid's height (h).so we use the Pythagorean theorem:

[tex]hyp^2=leg_1^2+leg_2^2\\(20\,ft)^2= (16\,ft)^2+h^2\\h^2=400\,ft^2-256\,ft^2\\h^2=144\,ft^2\\h=12 \,ft[/tex]

Answer:

C.12ft

Step-by-step explanation:

for people on edmentum

Explanation:

The distance we're after is the vertical distance from the point to the line. So we only care about the difference in y values from y = -19 to y = 3

You can count out the spaces or use subtraction along with absolute value

distance from P to Q = |P-Q|

distance from -19 to 3 = |-19-3|

distance from -19 to 3 = |-22|

distance from -19 to 3 = 22

The absolute value is to ensure the result is never negative.

The range of a function may refer to either of two closely related concepts: The codomain of the function The image of the function

MARK BRAINLIEST PLEASE DEAR...THANKS I LOVE U

Answer:

So for the first few small values of n, we have proven by demonstration that f(n) = n / (n+1).

Our task is to prove that if it works for any positive integer value of n, then it works for n + 1. This way, it must by induction work for all subsequent values of n.

Formally said, we need to prove that if for some positive integer n we can show that f(n) = n / (n+1), then we can conclude that f(n+1) = (n + 1) / (n + 2).

We begin the real "proof" by expanding f(n + 1):

f(n + 1) = f(n) + 1 / ((n+1)((n+1)+1)) because that's based on the construction.

= n / (n+1) + 1 / ((n+1)(n+2)) because f(n) = n / (n+1); this is called "using what you know from earlier".

= n(n+2) / ((n+1)(n+2)) + 1 / ((n+1)(n+2)) because we can multiply the left fraction by (n+2)/(n+2).

= (n2 + 2n + 1) / ((n+1)(n+2)) because we have a common denominator and can combine the numerators.

= (n+1)2 / ( (n+1)(n+2)) because we can factor the numerator now; it is a perfect square.

= (n+1) / (n+2) because we can cancel the common (n+1) factor from the numerator and denominator.

Q.E.D. (which means "that which was to be proven", in other words: "voilà")

Step-by-step explanation:

Answer:

3x^2(3+x)

Step-by-step explanation:

Answer: 3x^2(3+1)

Because it is divisible by 3 and x^2

Answer:

no

Step-by-step explanation:

hey

Answer:

52 inches

Step-by-step explanation:

Answer:

we have, 1 feet =12 inches

13/3 foot =12×13/3 inches

=52 inches.

thereforethe , the answer is 52 inches.

Answer:

5/1

Step-by-step explanation:it goes up 5 and over 1

Answer:

Solution,

Let the points be A and B

A ( 8 , 2 ) -----> (X1 , y1 )

B ( 9 , 7 ) -------> (x2 , y2)

Now,

Slope =[tex] \frac{y2 - y1}{x2 - x1} [/tex]

[tex] = \frac{7 - 2}{9 - 8} [/tex]

[tex] = \frac{ 5}{1} [/tex]

[tex] = 5[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

x = -1/4(y +3)2 - 2.

Step-by-step explanation:

Here are the steps:

Find if parabola is horizontal or vertical

Find vertex and substitute into equation of step 1

Use another point to find a in the equation.

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

Parabola is obviously vertical.

that means we use x = a(y - k)2 + h

Our vertex is (-2,-3), and it's also (h, k)

so, our current equation is x = a(y - -3)2 - 2 and if we simplify it,

we get x = a(y +3)2 - 2.

It's not over yet, cuz we still need a.

so, we substitute in a point (x, y). We can use (-4, 1).

We plug in and get -4 = a(1 +3)2 - 2.

We solve like a one variable linear equation and get a = -1/4

Thus our equation is x = -1/4(y +3)2 - 2.

Answer:

the total amount is £ 756.

hope it helps..

Answer:

y = 5x + 8

Step-by-step explanation:

Start with y = mx + b:  general slope-intercept form, equation of a line:

Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):

8 = 5(0) + b.  Then b must be 8, and the desired equation is

y = 5x + 8

Answer:

He fails to sell that day 10 cottons.

Step-by-step explanation:

We are given that a cotton candy merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents.

One day when he made 120 cottons, he made a profit of 39 soles.

Let the number of cottons merchant is able to sold be 'x' and the number of cottons merchant is not able to sold be 'y'.

So, according to the question;

                                   x + y = 120

                                   x = 120 - y    ---------------------- [Equation 1]

                               [tex]0.40x - 0.50y=39[/tex]

                               [tex]40x - 50y=3900[/tex]

                               [tex]40(120-y) - 50y=3900[/tex]  

                               [tex]4800-40y - 50y=3900[/tex]

                               [tex]90y=4800-3900[/tex]

                                [tex]90 y = 900[/tex]

                                  [tex]y=\frac{900}{90}=10[/tex]

This means that the merchant is not able to sell 10 cottons.

Answer: 56g flour

Step-by-step explanation: 140/20 = 7g

7 x 8 = 56g

Answer:

150 cal

Step-by-step explanation:

5x30=150

Answer:

150 calories.

Step-by-step explanation:

Assuming there is the same amount of chocolate as well as cookie dough throughout the whole cookie.

You know that 1/5 of a chocolate chip cookie has 30 calories.

Find one cookie, by multiply 5 to both numbers. Set the equation:

1/5x = 30

Isolate the variable. Multiply 5 to both sides:

(1/5x) * 5 = (30) * 5

x = 30 * 5

x = 150

150 calories is your answer.

Answer:

2/5x

Step-by-step explanation:

x% of 40= x/100×40

= 40/100x = 2/5x

Answer:

Step-by-step explanation:

What sis line of best fit?

The line of best fit may be explained as a straight line which is drawn to pass through a set of plotted data point which gives the best and most approximate relationship between the data points. A line of best fit is required to give the best approximate value between the set of plotted data points such that it allows making inference on new data points while also ensuring the least possible deviation from the original data points.

Why do we want the sum of the residuals to be as close to zero as possible?

The line of best fit will be the line which gives the least value of residual error. The residual error is reffered to as the difference between the line drawn and the individual data point plotted. These errors are squared and summed together, the line which produces the least residual error is Considered as the leading ne of best fit for the data.

We want the sum of our residual error to be as close to zero as possible, this is to reduce the deviation between our original or plotted data and the modeled data produced by our line of best fit.

Answer:

Step-by-step explanation:

We wan the residuals to be closest to zero because they will help use later in the equation.

Answer:

i = {√(P-180)/20}+ 3

Step-by-step explanation:

Here, we simply need to make i the subject of the formula

that would be;

P -180 = 20(i-3)^2

Divide through by 20

(P-180)/20 = (i-3)^2

Find the square root of both sides

sqr (P-180)/20 = i-3

i = {√(P-180)/20}+ 3