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.

A. y = 1.383x + 1.526

B. y= -1.526x - 1.383

c. y = 1.383x - 1.526

D. y = -1.526x + 1383​

Answer:

picture from Goldbach's conjecture.

Step-by-step explanation:

Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states:

Every even integer greater than 2 is the sum of two primes.

The conjecture has been shown to hold for all integers less than 4 × 10^18, but remains unproven despite considerable effort.

So on the red and blue axes you see primes. The list of black numbers are even numbers.

Answer:

3

Step-by-step explanation:

"Rate of change" is the real-world problem way of saying "slope."

So whenever a question asks you to find "rate of change", simply look for the slope.

y = mx + b

e = 3h + 200

mx = slope/rate of change

So, 3 would be your answer.

Answer: 18 quarts

Step-by-step explanation:

As per given,

Quantity of sparkling juice is proportional to quantity of course with grape juice.

Given: A free cable sparkling juice calls for [tex]1\dfrac12[/tex] quarters of sparkling water and [tex]\dfrac34[/tex] course with grape juice .

Let x be the quantity of sparkling water need to mix with 9 quarts of grape juice.

then, by equation of direct proportion , we have

[tex]\dfrac{1\dfrac12}{\dfrac34}=\dfrac{x}{9}\\\\\Rightarrow\dfrac{\dfrac{3}{2}}{\dfrac{3}{4}}=\dfrac{x}{9}\\\\\Rightarrow\ \dfrac21=\dfrac{x}{9}\\\\\Rightarrow\ x=9\times2\\\\\Rightarrow\ x=18[/tex]

Hence, the quantity of sparkling water need to mix with 9 quarts of grape juice = 18 quarts

Answer:

r = V/2 - 2

Step-by-step explanation:

Answer:   r=1/2v−2

Step-by-step explanation:

v=4+2r

2r+4=v

2r+4+−4=v+−4

2r=v−4

2r/2=v−4/2

r=1/2v−2

Answer: C) Neither positive nor negative -- the sum is zero

Adding any positive number to its negative counterpart always leads to 0.

We could come up with a story problem where a person has $37 in their bank account, and then they take out $37 which is represented with the negative number. This leads the balance to become 37+(-37) = 37-37 = 0 dollars.

Answer:

69/8

Step-by-step explanation:

-55/8 + 31/2

The lowest common denominator (LCD) is 8.

(-55 + (8/2)31) / 8

(-55 + 124) / 8

69/8

8 5/8

I'm sorry if you do not understand. This is how I was taught.

Answer:

6

Step-by-step explanation:

Plz answer my question

Answer:

$4.50 per book

Step-by-step explanation:

Answer:

24 pounds of apples for $60

about 3 apples per pound

about 72 apples for $60

Step-by-step explanation:

$15 times 4 = $60, therefore 6 pounds times 4 = 24 pounds

5 out of 16 ounces equals about 3 apples per pound

24 pounds, with 3 apples in each pound, equals 72

Answer:

is 2.99 the price before or after the discount

Answer:

2.69 i think

Step-by-step explanation:

Substituting u = 6x - 5, you write

y = cos(u)

Then differentiating with the chain rule gives

dy/dx = dy/du • du/dx

We have

dy/du = -sin(u)

du/dx = 6

so

dy/dx = -6 sin(u) = -6 sin(6x - 5)

Answer:

i think its 14.4

Step-by-step explanation:i

Answer:

i think its c (14.4)

Step-by-step explanation:

pls mark brainliest! im tryna get to vituoso :3

Answer:

43-5= 38 (subtract the y-intercept from the last number to see how many stamps were sold over the past two months)

38/2= 19 (the number of stamps sold over 2 months divided by how many months it took for those stamps to be sold)

19 is what goes in the box

Answer:

y = 9x/5 + 50

Step-by-step explanation:

We are represent the information as coordinate (x,y)

If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)

Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;

(150, 320)

Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope;

m = y2-y1/x2-x1

m = 320-230/150-100

m = 90/50

m = 9/5

Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c

230 = 9/5(100)+c

230 = 9(20)+c

230 = 180 + c

c = 230-180

c = 50

Get the required equation

y = mx+c

y = 9/5 x + 50

Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50

Answer:

The number of miles increases as time increases

The number of hours causes a change in the number of miles ridden

The Variable h is the independent variable

Step-by-step explanation:

Answer:

y = x + 2

Step-by-step explanation:

The slope is 1

The y-intercept is 2

Answer: y=2x+0

Step-by-step explanation:

Answer:

3:15PM

Step-by-step explanation:

If If Diana got out of school at 1:40 P.M, this and spent 1 hour 35 minutes at the rehearsal, to know the time that the choir rehearsal ends, we will have to add the time spent at rehearsal to the time he got out of school;

1:40 P.M + (1hr 35 minutes)

1:40 P.M + 1 hr = 2:40PM

2:40PM + 35mintes = 2:40PM + (20mintes) +15 minutes

[2:40PM + (20mintes)] +15 minutes = 3:00pm + 15 minutes

3:00pm + 15 minutes = 3:15PM

Hence the choir rehearsal ends at 3:15PM

Answer:

B ; Point B

Step-by-step explanation:

ok to be honest I really don't know

Answer:

1.33333333quarts

1.3(repeating) quarts

Step-by-step explanation:

Answer:

International Press Telecommunications Council

Answer:

first one is -16

second is -4

I'm what the third is

Answer:

3x² -2x -3

Step-by-step explanation:

x² *3x²= 3x²

-x *2x=-2x

3 *-1= -3

Answer:

25/3

Step-by-step explanation:

Set the equations equal to each other since the lines are parallel.

(x+20)=(4x-5)

-x  +5       -x   +5

25/3 = 3x/3

x = 25/3

Answer:

x = 12

y = 14

Step-by-step explanation:

5x + 4y = 116

5 x 12 = 60

4 x 14 = 56

60 + 56 = 116

10x + 6y = 204

10 x 12 = 120

6 x 14 = 84

120 + 84 = 204

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

Here's how I found x and y:

10x + 6y = 204 can be divided by 2

5x + 3y = 102

Then I took 116 and subtracted 116 given the difference

in y.

116 - 102 = 14

So y =  14 and then I sovled for x:

5x + 56 = 116

116 - 56 = 60

60/5 = 12

10x + 84 = 204

204 - 84 = 120

120/10 = 12

Answer:

The maximum a person can weigh to go on the ride safely is 100.5 kg

Step-by-step explanation:

The specification for the maximum weight of each person that goes on the ride = 100 kg

Therefore, given that the maximum possible error of a measurement is equal to 1/2 multiplied by the unit of measurement, we have that the specified maximum weight, [tex]W_{max}[/tex], can be written as follows;

[tex]W_{max}[/tex] = (100 ± 0.5) kg, which gives the maximum a person can weigh to go on the ride safely as 100 kg + 0.5 kg = 100.5 kg

Answer:

52

Step-by-step explanation:

{[3(29)]+35-30} -40

{(87)+35-30}-40

(87+35-30)-40

(92)-40

92-40

=52

Answer:

24

Step-by-step explanation: