Find the equation of the line passing
through the points (2, 1) and (5, 10).
y= [? ]x + [ ]

[tex]\\ \sf\longmapsto 5.9=\dfrac{x}{9}[/tex]

[tex]\\ \sf\longmapsto x=9(5.9)[/tex]

[tex]\\ \sf\longmapsto x=9(\dfrac{59}{100})[/tex]

[tex]\\ \sf\longmapsto x=53.1[/tex]

[tex]\sf \displaystyle \frac{x}{9} =5,9 \\\\x=9\cdot 5,9 =45+8,1=53,1 \\\\ \boxed{\sf x=53,1}[/tex]

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

Explanation:

Consider the set

[tex]\left\{x_1,x_2,x_3,\ldots,x_n\right\}\\\\[/tex]

which has n items in it. We don't know anything about any individual item, but what we do know is that the mean is S.

So,

[tex]\text{mean} = \frac{\text{sum of values}}{\text{number of values}}\\\\\text{mean} = \frac{x_1+x_2+x_3+\ldots+x_n}{n}\\\\S = \frac{x_1+x_2+x_3+\ldots+x_n}{n}\\\\nS = x_1+x_2+x_3+\ldots+x_n\\\\x_1+x_2+x_3+\ldots+x_n = nS\\\\[/tex]

In short, the sum of the values [tex]\left\{x_1,x_2,x_3,\ldots,x_n\right\}\\\\[/tex] is exactly nS, where S is the mean of the same set.

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

Next, we add 1 to [tex]x_1[/tex], add 2 onto [tex]x_2[/tex], etc to form this new set

[tex]\left\{x_1+1,x_2+2,x_3+3,\ldots,x_n+n\right\}\\\\[/tex]

Let's find the mean like so

[tex]\text{mean} = \frac{\text{sum of values}}{\text{number of values}}\\\\\text{mean} = \frac{(x_1+1)+(x_2+2)+(x_3+3)+\ldots+(x_n+n)}{n}\\\\\text{mean} = \frac{\left(x_1+x_2+x_3+\ldots+x_n\right)+\left(1+2+3+\ldots n\right)}{n}\\\\\text{mean} = \frac{nS+0.5n(n+1)}{n}\\\\\text{mean} = \frac{n(S+0.5(n+1))}{n}\\\\\text{mean} = S+0.5(n+1)\\\\[/tex]

which is why S+0.5(n+1) is the answer

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

Let's look at a concrete example.

Consider the set {1,7,10} which has n = 3 items in it.

Its mean is,

S = (1+7+10)/3 = 18/3 = 6

Now increase the items in {1,7,10} by adding on the values {1,2,3} to each element in the order shown

1+1 = 2

7+2 = 9

10+3 = 13

So {1,7,10} becomes {2,9,13}

The mean of the new set {2,9,13} is...

mean = (2+9+13)/3 = 24/3 = 8

Notice how,

newMean = S + 0.5(n+1)

newMean = 6 + 0.5(3+1)

newMean = 8

which helps us see how the formula works and partially confirm the answer. While this example isn't definitive proof, it's still handy to go over. I recommend forming other sets to check to see that this formula works. Not only do I recommend trying different values, but also a different number of values as well (i.e. increase n to some larger integer).

Answer:

I think it is 1/2

Step-by-step explanation:

rise/run

you go up 1 unit and you move 2 units to the side.

Answer:

(-1.5,0) (0,0.5)

Step-by-step explanation:

I graphed it

Answer:

y = -2x + 23.

Step-by-step explanation:

If the line is parallel to

y = -2x - 5,

that means it has the SAME SLOPE. Parallel lines have the same slope, but they could have different y-intercepts.

The slope intercept form is:

y = mx + b.

m = slope.

b = y intercept.

In this case, the slope is -2.

So we know the answer will have a slope of -2.

So we can write:

y = -2x + b.

We just have to finish the answer by replacing "b" with a number.

To find out what "b" is, we plug in the point (8,7).

To plug this point in, we replace "x" with 8 and "y" with 7.

7 = -2(8) + b.

7 = -16 + b.

Now to get b by itself to solve for b, we have to add 16 to both sides.

7 + 16 = b.

b = 23.

So our final answer is: y = -2x + 23.

Answer:

1125 quarts

Step-by-step explanation:

5 hrs = 375 quarts

15 hrs = x quarts

5*3 = 15

375*3 = x

375*3 = 1125

1125 quarts

Answer:

answer = 1/11

Step-by-step explanation:

The addition rule of probability.

P (T + C) = P(T) + P(C) - P(T ∩ C)

The probability that both these people also used a car given that both of them use a train is 1/11.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of people who used the train and the car.

P (T U C) = 21 - 7 = 14

P(T) = Probability of the number of people who used the train = 12

P(C) = Probability of the number of people who used the car = 6

From the addition rule of probability.

P (T + C) = P(T) + P(C) - P(T ∩ C)

14 = 12 + 6 - P(T ∩ C)

P(T ∩ C) = 12 + 6 - 14 = 18 - 14 = 4

Now,

Two people are chosen.

P(C/T):

= P(T ∩ C) / P(T)

= [tex]^4C_2[/tex] / [tex]^{12}C_2[/tex]

= (4 x 3 / 2) / (12 x 11 / 2)

= 6 / 6 x 11

= 1/11

Thus,

The probability that both these people also used a car given that both of them use a train is 1/11.

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Answer:

x-intercept = 6.2 , y-intercept = 3.1

Step-by-step explanation:

First turn 2x + 4y = 12.4 to slope-intercept form (y = mx + b) where m is slope and b is y-intercept.

Subtract 2x on both sides to move it to the other side, and get 4y by its self. Now it looks like 4y = -2x + 12.4 (since 2x and 12.4 aren't like terms, you wouldn't combine them).

Next, divide 4 on both side to get rid of it, and to get y by its self. Now you'll have

y = -2/4 x + 3.1 (since 12.4 can be divided by 4, that's how you get 3.1). You can already tell, just by looking at

y = -2/4 x + 3.1 , that the y-intercept is 3.1

Now we graph, to find out what the x-intercept is. I did it for you above.⤴⤴⤴

Answer:

2+3+4+5(2+3+4+5)=79

Step-by-step explanation

2+3+4+5×2+3+4+5=79

Therefore the answer is 79

Answer:

Given are the transformations of the square root function:

Line a, translation to the left:

Line b, reflection over x-axis, translation to the right and up:

Line c, translation to the left and down:

Line d, reflection over x-axis, translation down:

Answer:

f(x) = x + 1 is an example

Step-by-step explanation:

This is a one to one function because when you put in an input there would be a different answer for each number put in.

A way to find out if something is a one to one function is by using the horizontal line test.

Hope this helps

Answer:

done.

Step-by-step explanation:

yeah+ya .... right?

Answer:

multiply ata gagawin dyan Ewan

Answer:

70%

Step-by-step explanation:

Math

Answer:

70%

Step-by-step explanation:

HOW TO:

To convert a number into percent multiple it by 100 and then add the percent sign. These examples convert the numbers 23 and 158 to percents. To convert a number with a decimal into percent, multiply it by 100 and add the percent sign.

Figure Out:

50 = 100%

25 = 50%

Therefore, the only legible solution would be 70%

Answer:x° ^56

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They are congruent angles

Answer:

-34

Step-by-step explanation:

Combine like terms

Hope this helped! Have a great day!!

Answer:

1

1

2

+

1

2

Step-by-step explanation:

ombine like terms

2

−

7

+

1

0

2

+

7

+

1

2

1

1

2

−

7

+

7

+

1

2

Answer: 37 percent of waste is disposed of in some form of a landfill, 8 percent of which is disposed of in sanitary landfills with landfill gas collection systems

The U.S. is the king of trash, producing a world-leading 250 million tons a year—roughly 4.4 pounds of trash per person per day Collectively, out of the 254 million tons of trash Americans can produce in one year, we recycle about 34.3 percent of it. For our average individual, 710.6 pounds are recycled and 1,361.4 pounds of trash are tossed out every year — about the weight of a grizzly bear Every year, U.S. landfills are filled with 139.6 million tons of waste, including 30.63 million tons of food. 26.82 million tons of plastic. 18.35 million tons of paper and paperboard.

don't mark brainiest

Answer: 3.9 gigawatts

Step-by-step explanation: 7 x 3 equals 21 so just multiply the 1.3 gigawatts by 3 which would mean 21 giant solar planets generate 3.9 gigawatts.

Answer:

Step-by-step explanation:

Given:

Square both sides:

Now, square the 2a - 2/a:

Find the square root:

Answer:

I think answer is

1 number answer is e

2. A

3. D

4. C

5.B

The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

Their sum is 55 .

Their mean (average) is (55/10).

That's 5.5 . (Choice b).

Answer:

x=12

y=-3

Step-by-step explanation:

Because we already know what the value of x, we can use that value, -4y, to substitute it into the equation 2x+7y=3.

2(-4y)+7y=3   Simplify.

-8y+7y=3

-y=3                Divide both sides by -1 (to make y positive).

y=-3

Now, we can substitute y into the other equation, x=-4y.

x=-4(-3)   Simplify.

x=12

I really hope this helps!! Have a great day ❤

Answer:

C

Step-by-step explanation:

Use  this formula:  y - y1 =  m(x - x1)         Given (10, -9) and slope (m) = -2

   y - (-9) = -2(x - 10)

   y + 9 = -2(x - 10)

Answer:

C. y + 9 = –2(x – 10)

Step-by-step explanation:

Coordinates (xA, yA)

10

-9

Slope(m)

-2

Point Slope Form

-2x - y + 11 = 0

Answer:

x=3

Step-by-step explanation:

Answer:

[tex] \longmapsto(x - 4) + (x - 5) + 5 \\ = x - 4 + x - 5 + 5 \\ = \boxed{2x - 4}[/tex]

[tex] \longmapsto(x - 10) + 10 + 16 \\ = x - 10 + 10 + 16 \\ = \boxed{x + 16}[/tex]

Now, it is given that the two triangles have same perimeter

So equating the value of the perimeter of the two triangles, we get

[tex] 2x - 4 = x + 16 \\2x - x = 16 + 4 \\ \boxed{ x = 20}[/tex]

Therefore, the value of x is 20

El área de las tierras de Juan es el producto del largo y ancho de cada pieza, por lo que el área de sus tierras son 19.9375 m² y 90.250 m² respectivamente.

El Área de las tierras de Juan se puede calcular así:

Área = largo × ancho

Tierra 1:

Dimensión = 7 ¼ metros por 2 ¾

Área de terreno 1 = 7 ¼m × 2 ¾m = 19.9375 m²

Tierra 2:

Dimensión = 9,50 metros por 9,50 metros

Área de tierra 2 = 9.50 × 9.50 = 90.250 m²

Por tanto, la superficie de los terrenos de Juan es de 19,9375 m² y 90,250 m² respectivamente.

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Answer:

-1/12

Step-by-step explanation:

change divide sign to multiply by reciprocating

The amount earned by Tom is the product of the rate per hour and the number of hours worked which is $90.

The amount earned at the normal earning rate can be calculated thus :

Amount earned = $15 × 6 = $90

Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.

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The total pay Tom earn for working 11 hours is £185

Given that Tom is paid £15 if he works for less than 7 hours and then paid 1 1/3 times his normal salary if he works more than 7 hours.

Given that he works for 11 hours, hence:

Pay for the first 7 hours = £15 × 7 hours = £105

Pay for the overtime = 1 1/3 × £15 × (11 - 7) = 4/3 × £15 × 4 = £80

Total pay = £80 + £105 = £185

Hence the total pay Tom earn for working 11 hours is £185

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