how to graph from linear standered form 2x-6y=12?​

Answer:

James is 1 meter and 63 centimeters tall

Step-by-step explanation:

James is 1 meter and 63 centimeters tall. The first step will be to subtract 1 from his height;

1.63 - 1 = 0.63 meters

The 1 subtracted is equivalent to 1 meter. The next step is to convert the remaining height in meters to centimeters by multiplying by 100;

0.63 * 100 = 63 centimeters

We can thus say, James is 1 meter and 63 centimeters tall or equivalently 163 centimeters tall

Answer:

The total gain at the end of the second year for both accounts combined is $509.09.

Step-by-step explanation:

Amount saved = $8500

40% of 8500 is saved in saving account; [tex]0.4\times8500=3400[/tex]

Remainder amount in stock plan; [tex]8500-3400=5100[/tex]

Working for savings plan:

[tex]A=p(1+\frac{r}{n})^{nt}[/tex]

Here, p = 3400 ; n = 1 , t = 2 , r = 0.042

Putting values in formula:

[tex]A=3400(1+\frac{0.042}{1})^{2}[/tex]

[tex]A=3400(1+0.042)^{2}[/tex]

A = $3691.60

We get a gain of [tex]3691.60-3400=291.60[/tex] dollars

Working for stock plan:  

The stock plan decreases 3% in the first year and increases 7.5% in the second year.

[tex]5100\times 0.97=4947[/tex]

When increases;

[tex]4947\times1.075=5318.03[/tex]  dollars

So, we get a gain of [tex]5318.03-5100=218.03[/tex] dollars  

Therefore, we have a total gain of [tex]291.06+218.03=509.09[/tex] dollars.

if we take 125 to be the 100%, what is 57 off of it in percentage?[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 125&100\\ 57&x \end{array}\implies \cfrac{125}{57}=\cfrac{100}{x}\implies 125x=5700 \\\\\\ x=\cfrac{5700}{125}\implies x = 45.6[/tex]

There are 125 people and 57 of the people have pets. What percent of people have pets.

First, we need to understand what the question is asking us to do. We know that there are 125 people altogether and only 57 of the people have pets. We are trying to figure out what percent of the people have pets.

The fraction [tex]\frac{57}{125}[/tex] is representing the 57 people who have pets out of all the people. To find what percent of people have pets, we have to change [tex]\frac{57}{125}[/tex] to a percent.

57 ÷ 125 = 0.456

0.456 × 100 = 45.6%

Therefore, 45.6% of people have have pets.

Given,

[tex]y = \frac{ - 2}{7} x \\ \frac{2}{7} x + y = 0 \\ \frac{2x + 7y}{7} = 0 \\ 2x + 7y = 0[/tex]

Now,

slope of the line(m) =

[tex] \frac{- coefficient \: of \: x }{coefficient \: of \:y} \\ = \frac{ -2 }{7} [/tex]

Answer:

-2⁄7

Step-by-step explanation:

In the Slope-Intercept Formula, y = mx + b, m is the Rate of Change [Slope]. So, in this case, our slope is -2⁄7.

I am joyous to assist you anytime.

Answer:

Hourly fee = $15 per hour

Step-by-step explanation:

Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below.

To find out hourly fee , we use any two points from the given graph

Hourly fee is the slope of the line

LEts pick (2,52)  and (3,67)

Slope = [tex]\frac{y_2-y_1}{x_2-x_1} = \frac{67-52}{3-2} = 15[/tex]

Hourly fee = $15 per hour

Answer:

$15

Step-by-step explanation:

I play the violin and my lessons i get from school ive been playing for 4 and a half years now i no everything and i can surely  tell you its $15

Answer:

x = 90°

Step-by-step explanation:

The diagonals of the kite AC and BD are perpendicular to each other

Hence x = 90°

Answer:

5.08 centimeters equals 2 inches

10 inches equals 25.4 centimeters

Step-by-step explanation:

we have to complete the following table.

According to the information contained in table 2.54 centimeters it is equal to 1 inch

The first information we have to complete is how many inches equals 5.08 centimeters

To solve it we apply a simple rule of three

[tex]2.54 centimeters \longrightarrow 1 inch \\5.08 centimeters \longrightarrow x[/tex]

[tex]x=\frac{(5.08)(1)}{2.54} \\x=2[/tex]

5.08 centimeters equals 2 inches

The second information that we have to complete is how many centimeters equals 10 inches

[tex]1 inch \longrightarrow 2.54 centimeters\\10 inches\longrightarrow x \\x=\frac{(10)(2.54)}{1} \\x= 25.4[/tex]

10 inches equals 25.4 centimeters

Answer:may 5cm

Step-by-step explanation:

Answer: Eden correctly solved the problem.

Step-by-step explanation:

Without specific problem details, it is impossible to provide an accurate answer on who completed the problem correctly and what mistakes the others made.

Without the details of the problem that Emma, Erin, and Eden completed, it is impossible to correctly determine who solved the problem right and what errors the other two students made in their calculations. However, usually, such questions involve displaying similar problems worked out by different students and based on the solution, we would determine who was correct and identify the errors on the part of the other students.

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A is the correct answer. Factor by grouping

Answer:B

Step-by-step explanation:

Is easy

Answer:

A firm determines its profit by subtracting "Total Cost" from "Total Revenue".

Step-by-step explanation:

We have been given a statement "A firm determines its profit by subtracting _____ from ______. Now we need to fill the blanks with suitable words.

We know that there are some initial costs associated with production of any product. So to get the profit, we need to subtract the cost that that is spent during production of the product from total sales.

Hence final answer can be written as:

A firm determines its profit by subtracting "Total Cost" from "Total Revenue".

For this case we must solve the following questions:

Question 1:

We must solve the following quadratic equation:

[tex]x ^ 2 + 1 = 0[/tex]

We subtract 1 from both sides of the equation:

[tex]x ^ 2 + 1-1 = -1\\x ^ 2 = -1[/tex]

We apply square root to eliminate the exponent:

[tex]x = \pm \sqrt {-1}[/tex]

The solution is not real.

[tex]x_ {1} = + i\\x_ {2} = - i[/tex]

Answer:

[tex]x_ {1} = + i\\x_ {2} = - i[/tex]

Option D

Question 2:

We must solve the following quadratic equation:

[tex]x ^ 2-10x + 24 = 0[/tex]

We factor the equation, that is, we must look for two numbers that when multiplied give as result 24 and when summed with -10. These numbers are -6 and -4:

[tex]-6-4 = -10\\-6 * -4 = 24\\(x-6) (x-4) = 0[/tex]

The roots are:

[tex]x_ {1} = 6\\x_ {2} = 4[/tex]

ANswer:

[tex]x_ {1} = 6\\x_ {2} = 4[/tex]

Option D

Question 3:

We must complete squares of the following expression:

[tex]x ^ 2-18x = 7[/tex]

We add [tex](\frac {b} {2}) ^ 2 = (\frac {-18} {2}) ^ 2 = (- 9) ^ 2[/tex]

Then:

[tex]x ^ 2-18x + (- 9) ^ 2 = 7 + (- 9) ^ 2\\x ^ 2-18x + (- 9) ^ 2 = 7 + 81\\x ^ 2-18x + (- 9) ^ 2 = 88\\(x-9) ^ 2 = 88[/tex]

Then, to complete the square, add it to both sides [tex](-9) ^ 2 = 81[/tex]

Answer:

Option C

Option 2 in the given figure will have a maximum volume of 5120π cubic meters.

Volume is defined as the space occupied by any object in the three-Dimensions. To find out the volume of the cylinder we need the length and diameter of the cylinder.

The volume of the first figure:-

V = ( π / 4 ) ( d² ) L

V  = ( π / 4 ) ( 10² ) 64  = 1600π cubic meters

The volume of the second figure:-

V = ( π / 4 ) ( d² ) L

V  = ( π / 4 ) ( 32² ) 20  = 5120π cubic meters

The volume of the third figure:-

V = ( π / 4 ) ( d² ) L

V  = ( π / 4 ) ( 10² ) 128  = 3200π cubic meters

We can see that the volume of the third figure is maximum.

Therefore Option 2 in the given figure will have a maximum volume of 5120π cubic meters.

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Answer: D) y = -3 sin 8x

Step-by-step explanation:

The given graph has an amplitude of 3 (A = 3) and a period of π/2 (B = 4).

Therefore, the equation of the graph is: y = 3 sin 8x    Option A

Option B is a reflection of Option A, shifted π units to the left

Option C is Option A, shifted 2π units to the right

Both Options B and C are equivalent to Option A

Option D is a reflection of Option A but since there is no horizontal shift, it cannot be equivalent to Option A

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

Explanation:

The portion that has 2pi*r^2 represents the two base areas (think of the top and bottom of a can). The 2*r*pi*h is the lateral surface area, which can be thought of as the area in which the label covers. So put together the total surface area of the entire cylinder is 2pi*r^2 + 2*r*pi*h

note: 2*r*pi*h is the same as 2pi*r*h

Answer:

[tex]\large\boxed{-\dfrac{4}{2}=-2}[/tex]

Step-by-step explanation:

[tex]a_1,\ a_2,\ a_3,\ a_4,\ ...-\text{geometric sequence}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...-\text{common ratio}\\\\======================\\\\\text{We have}\\\\-2,\ 4,\ -8,\ 16,\ -32,\ ...\\\\\text{The common ratio:}\\\\\dfrac{4}{-2}=-2\\\\\dfrac{-8}{4}=-2\\\\\dfrac{16}{-8}=-2\\\\\dfrac{-32}{16}=-2[/tex]

Answer: 7 years

Step-by-step explanation:

year 1    5.75 (million) x 1.16 (16 percent ) = 6.67   motorcycles

year 2    6.67  x 1.16 = 7.7372

year 3     7.74 x  1.16 = 8.9784

year 4      8.98 x 1.16 = 10.4168

year 5     10.42 x  1.16 = 12.0834

year 6     12.09 x 1.16 = 14.0244

year 7    14.02 x 1.16 = 16.2632

year 1    3.5 (million) x 1.25 (25 percent) = 4.375

year 2    4.375 x 1.25 = 5.46875

year 3    5.47   x  1.25 = 6.8359

year 4     6.84   x 1.25 = 8.5449

year 5      8.55 x 1.25 = 10.6875

year 6    10.69 x 1.25 = 13.359375

year 7    13.36 x 1.25 = 16.7

Answer:

[tex]3 \sqrt[3]{162} = 3 \sqrt[3]{27} \sqrt[3]{6} = 3(3 \sqrt[3]{6} ) = 9 \sqrt[3]{6} [/tex]

Final answer:

The simplest form of 3 cube root of 162 is 9 cube root 2, with a=9 and b=2 after factoring out the perfect cube within 162.

Explanation:

The student has asked about simplifying the expression 3 cube root of 162 into the form a3 cube root b. The cube root of 162 can be simplified by factoring out cubes. The number 162 is equal to 2 * 81, where 81 is a perfect cube (3³). Thus, we can rewrite 162 as 2 * 3³. When taking the cube root, the cube root of 3³ is 3, and it comes out of the cube root symbol leaving us with 2 inside the cube root. Multiplying this by 3 outside the cube root, we get:

3 * 3 cube root 2 = 9 cube root 2

Therefore, the expression in its simplest form is 9 cube root 2, which follows the format a3 cube root b with a=9 and b=2.

Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

Therefore , speed of the train = 32 km/h

Answer: Second Option

[tex]\frac{x}{3x-4} = \frac{20}{80}[/tex]

Step-by-step explanation:

The baseball team is composed of bats and balls.

Call x the number of bats and call z the number of balls.

Then we know that:

The number of baseballs is four less than three times the number of bats.

This is:

[tex]z = 3x-4[/tex]      (I)

Then we know that the team is 80% baseballs

This is:

[tex]\frac{x}{z} = \frac{0.2}{0.8}[/tex]    (II)

We substitute the first equation in the second and we have:

[tex]\frac{x}{3x-4} = \frac{0.2}{0.8}\\\\\frac{x}{3x-4} = \frac{20}{80}[/tex]

Answer:

x/(3x-4) = 20/80

Answer:

-20

Step-by-step explanation:

Unfortunately, there is no shortcut to solve these... you have to do the work, iteration by iteration.

A recursive function is a function that calls itself and takes as input the output of the previous call.

a = -2 a + 4

a1: 1

a2: -2 (1) + 4 = -2 + 4 = 2

a3: -2 (2) + 4 = -4 + 4 = 0

a4: -2 (0) + 4 = -0 + 4 = 4

a5: -2 (4) + 4 = -8 + 4 = -4

a6: -2 (-4) + 4 = 8 + 4 = 12

a7: -2 (12) + 4 = -24 + 4 = -20

so a7 = -20

-7x-3x > -14-6; -10x > -20 divide both sides by -10; x < 2; Solutions are: A)-10, C) -5, E) -3, G)0

Answer:

i cant read it

Step-by-step explanation:

Answer:

The cone is a 1/3 of a cilinder.

hope this helped!

Answer:

41.5 ft

Step-by-step explanation:

From the information given, and definition of midpoint, we know that:

AB = BC = ½ AC

AC = CE = ½ AE

CD = DE = ½ CE

GF = FE = ½ GE

HG = GE = ½ HE

AI = IH = ½ AH

AJ = JI = ½ AI

We also know:

AH = 20

HE = 14

GD = 4

Therefore:

AI = IH = 10

HG = GE = 7

AJ = JI = 5

GF = FE = 7/2

Next, since JB and IC are parallel with HE, we know that AJB and AIC are similar to AEH.  So:

JB / 5 = 14 / 20

JB = 7/2

IC / 10 = 14 / 20

IC = 7

And since DF and CG are parallel to AH, then DFE and DGE are similar to AHE.  So:

DF / (7/2) = 20 / 14

DF = 5

CG / 7 = 20 / 14

CG = 10

Next we know that AIB and AHC are similar, and DEG and CEH are similar.

IB / 10 = CH / 20

CH / 14 = 4 / 7

CH = 8, IB = 4.

We've found all the lengths inside triangle AEH.  Adding them up:

JB + IB + IC + CH + CG + DG + DF

7/2 + 4 + 7 + 8 + 10 + 4 + 5

41.5

The total length of the inside bars is 41.5 ft.

Answer:

the circumference of the outer edge of the path around the pool is 113.04 ft

Step-by-step explanation:

Hello, I think I can help you with this

the circumference is given by:

S=2π*r

where, S is the length of the circumference,π=3.14159.., r= radius

Step one

define the radius

the total radius of the pool and the path is

radius=15 ft + 3 ft

radius=18 ft

Step two

π=3.14

radius=18 ft

put the values into the equation

S=2π*r

S=2*3.14*18 ft

S=113.04 ft

the circumference of the outer edge of the path around the pool is 113.04 ft

I hope it helps, Have a nice day.

Answer:

9 notebooks=36 or 12 pens=24+ 4 notebooks=12 in total 36

Step-by-step explanation:

first way: 9×4=36

second way: 12×2=24

3×4=12

24+12=36

Answer:

 x= 623/7      x =89              89 pages every night

Step-by-step explanation:

A week has 7 days

She reads 623 pages in one week(623 in 7 days)

8378909u4738938576743898567854ijthguiek

Standard wise. Put innnv graphs[tex]\lim_{n \to \infty} a_n[/tex][tex]\pi[/tex]⇒°О Aproximate form. 623= 624=625 and so on ( yeah you get the point ) so it will623x ex is 699

Brackish water is shown as being 0.05 - 3%

2% falls in this range, so it would be Brackish water.

Answer:

5km=5000m

Because the rate to this is: 1:1000

Answer:

Step-by-step explanation:

[tex]\text{5 km}*\dfrac{1000 m}{1 km} = 5000m[/tex]

Notice that the units cancel out. You always want that to happen. Depending on your grade level and your teacher, you can avoid the proportion by doing the question this way. Always make sure you arrange it so that 1 set of units will cancel.