what is the factor of this 3x - 12

[tex] \color{magenta} \huge{answer}{} [/tex]

on comparing with ax+by+c=0

We can find out that

[tex] \green{ \huge{a= -2}{} }[/tex]

[tex] \pink{ \huge{b = 3}{} }[/tex]

[tex] \color{magenta} \huge{c = 6}{} [/tex]

The expression -22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0

The given equation is:

-2x + 3y = 6

Comparing the equation above with ax + by + c = 0

Rewrite -2x + 3y = 6 in the form ax + by + c = 0

-2x + 3y - 6 = 0

If -2x + 3y - 6 = 0 is compared with ax + by + c = 0

a = -2, b = 3, c = -6

Therefore, the expression-22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0

Learn more on linear equations here: https://brainly.com/question/14323743

Answer:

Step-by-step explanation:

12 inches per foot

The floor is 9(12) = 108 inches by

12(12) = 144 inches

The floor area is 108(144) = 15552 sq. In.

Each tile is 4(6) = 24 sq. in.

Need 15552/24 = 648 tiles

Answer:

Yes

Step-by-step explanation:

the triangle is a scalene triangle (has no equal parts

Answer:

w = 5, x = 7, y = 6, z = 12

Step-by-step explanation:

Evaluate each row by solving the corresponding equation, that is

row 1

4w = 20 ( divide both sides by 4 )

w = 5

row 2

2w + 2x = 24 ( substitute w = 5 )

2(5) + 2x = 24

10 + 2x = 24 ( subtract 10 from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

row 3

w + 2x + y = 25 , that is

5 + 2(7) + y = 25

5 + 14 + y = 25

19 + y = 25 ( subtract 19 from both sides )

y = 6

row 4

w + x + y + z = 30 , that is

5 + 7 + 6 + z = 30

18 + z = 30 ( subtract 18 from both sides )

z = 12

Answer:

  a) 47.7%

  b) 87.2%

Step-by-step explanation:

Find the ratio of interest, and convert it to a percentage.

  (messy right-handed writers)/(right-handed writers)

  = 31/65 = 31/65 × 100% ≈ 47.7%

__

  (neat right-handed writers)/(neat writers)

  = 34/39 = 34/39 × 100% ≈ 87.2%

Answer:

ΔT = ΔT0 e^-K T

As I understand Newton's Law of Cooling

ΔT at any time is the difference between the temperature and the surroundings

Originally       ΔT0 = 95 - 22   difference between 95 and room temperature

65 - 22 = 33 = 73 e^-KT      where t is time to cool to 65 deg

ln (33/73) = -KT       K = .794 / 5 = .159    where 5 is time to cool to 65 deg

40 - 22 = 73 e^-.159 T      where t is time to cool to 40 deg

18 = 73 e^-.159 T

ln (18 / 73) = -.159 T

T = 8.8 min

It would take 8.8 min for the object to cool to 40 deg C

Suppose the object cooled from 95 to 90 deg, then

ln 68 / 73 = -.159 T     and T = .45 min

Answer:

  13.2 minutes

Step-by-step explanation:

We cannot tell what your equation is supposed to be. Usually, the equation will have the form ...

  f(t) = c·e^(kt) +r

where c is the initial temperature difference (95 -22 = 73) and r is the room temperature (22). The value of k can be found from the given intermediate temperature and time.

  f(5) = 65 = 73·e^(k·5) +22

  43/73 = e^(5k)

Taking the natural log gives ...

  5k = ln(43/73)

  k = ln(43/73)/5 ≈ -0.105852

__

We want to find t for f(t) = 40. Then ...

  f(t) = 40 = 73·e^(-0.105852t) +22

  18/73 = e^(-0.105852t)

  t = ln(18/73)/-0.105852 ≈ 13.227

The tea will be drinkable after 13.2 minutes.

__

In the attached, we have used exponential regression to find the equation of the temperature curve.

Answer:

x = 4,-9

Step-by-step explanation:

This is a quadratic equation in x-intercept pattern. Since this is completely factored, we can simply solve the equation like a linear.

First, separate two equations. Let r be the roots of equation, therefore:

[tex]\displaystyle \large{r=\begin{cases}x-4=0\\ x+9=0 \end{cases}}[/tex]

I use the r-variable to denote the roots of equations (not necessary), simply separate both then solve it like a linear.

[tex]\displaystyle \large{r=\begin{cases}x-4+4=0+4\\ x+9-9=0-9 \end{cases}}\\\displaystyle \large{r=\begin{cases}x=4\\ x=-9 \end{cases}}[/tex]

Therefore, the roots of equation are x = 4 or x = -9. In short, we can write as x = 4,-9.

The reason why we use OR instead of AND because one of x-values satisfy the quadratic equation hence ‘or’ is more suitable than ‘and’. However, you must write all valid solutions instead of writing only one x-value from two.

___________________

Let me know in the comment if you have any questions.

Answer:

I don't understand the question. Write it again & briefly.

Answer:

20+24= 2(10+12) = 4(5+6)

Those are two ways to factor 20+24.

Answer:

B) x = 3 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - x = 15

Subtract 15 from both sides:

2 x^2 - x - 15 = 0

x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:

x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4

sqrt(121) = sqrt(11^2) = 11:

x = (1 + 11)/4 or x = (1 - 11)/4

(1 + 11)/4 = 12/4 = 3:

x = 3 or x = (1 - 11)/4

(1 - 11)/4 = -10/4 = -5/2:

Answer:  x = 3 or x = -5/2

Answer:

See answers below

Step-by-step explanation:

2x - 7 = x + 1      sides are equal

x - 7 = 1

x = 8

Find the length of each side

AD = 2x -7                BC = x + 1            AB = 2x - 2                DC = x - 1

AD = 2(8) - 7             BC = 8 + 1            AB = 2(8) - 2             DC = 8 - 1

AD = 16 - 7                BC = 9                 AB = 16 - 2                DC = 7

AD = 9                                                   AB = 14

Answer:

the volume of a cylinder is pi r^2 h = 3.14.(3.5)^2. 5.5=211.55 cubic foot

211.55 x 7.48052 =1583.36 gallons.

Step-by-step explanation:

Answer:

1. A. falling asleep

2. D. taking more time to wind down before bedtime

3. B. There is more than one reason that people have trouble sleeping.

4. C. The problem of falling asleep has been around for a long time and affects many people

5. A. why kids have trouble falling asleep and what they can do about it

6. A. something done over and over

Step-by-step explanation:

Answer:

Three choice

Step-by-step explanation:

I think.

Answer:

Option C) 5/8 is correct.

For explanation, Refer to the attachment.

[tex]\Large\textsf{Hope \: It \: Helped}[/tex]

Answer:

C

Step-by-step explanation:

Substitute the values for v and w into the expression.

[tex]\frac{1}{2}[/tex] + ([tex]\frac{3}{4}[/tex] - [tex]\frac{5}{8}[/tex] )

= [tex]\frac{1}{2}[/tex] + ([tex]\frac{6}{8}[/tex] - [tex]\frac{5}{8}[/tex] )

= [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{8}[/tex]

= [tex]\frac{4}{8}[/tex] + [tex]\frac{1}{8}[/tex]

= [tex]\frac{5}{8}[/tex] → C

Answer:

f(x) - 3 : the ones that move the graph down

f(x -3)  : the ones that move the graph to the RIGHT

Step-by-step explanation:

graph transformations:

f (x-3):

if the number is inside the "()" sign with the x -> you will have to move the graph sideways (left or right), but it has a little twist: if the number is negative (i.e: f(x)-3), you will move the graph to the right, and if it is positive, you will move it to the left.

f (x) -3:

if the number is outside the "()" -> you will have to move the graph up or down. there is no twist here: if its negative, it goes down, if its positive, it goes up.

hope i could help:)

Answer:

where is the bar chart can u post an image to help

Answer:

The ratio of hours of CPR training to hours of first aid training is  10:15

Step-by-step explanation:

Answer:

y = -5x + 15

Step-by-step explanation:

We'll look for a linear function of the form y = mx + b, where m is the slope and b is the y-intercept.

We can determine a slope from the two given points by calculating a Rise/Run.  Starting at (2,5) and going to (3,0):

Rise = (0 - 5) = -5

Run = (3-2) = 1

Rise/Run = Slope, m) = -(5/1) or -5

Now we have y = -5x + b

To find b, enter either of the two points and solve for b.  I'll use (3,0), because I know my zero multiplication and addition tables by heart.

y = -5x + b

0 = -5(3) + b

b = 15

The equation becomes y = -5x + 15

See attachment.

Answer:

The number is 42.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

8cups

Step-by-step explanation:

if it takes 4-cups for 4-dozen. That's 1-cup each dozen so 8-dozen is 8-cups

Answer:

A={a,b,c}

B={1,2}

A×B={(a,1),(a,2),(b,1),(b,2),(c,1),(c,2)

The correct roots of the equation are (a) 9 and 1

From the complete question, their mistakes are:

Anu

Aji

A quadratic equation is represented as:

[tex]ax^2 + bx + c = 0[/tex]

Where:

[tex]\alpha\beta = \frac ca[/tex] --- product of roots

[tex]\alpha + \beta = -\frac ba[/tex] --- sum of roots

Anu made a mistake in the constant term, so we consider the sum of roots

[tex]Sum = 8 + 2[/tex]

[tex]Sum = 10[/tex]

Aji made a mistake in the coefficient, so we consider the product of roots

[tex]Product = -9 \times -1[/tex]

[tex]Product = 9[/tex]

The possible equations from the above sum and products are:

Of all the above equations, the most likely equation is [tex]x^2 - 10x + 9 =0[/tex], and it has a root of 9 and 1

Hence, the correct roots are (a) 9 and 1

Read more about roots of equations at:

https://brainly.com/question/3923172

Answer:

True

Step-by-step explanation:

If you do this on paper, you can make a triangle but it will be close to a line, since the two side lengths are the same and that the last side length is 1.

The correct statement is ''Lin can walk southwest by creating an obtuse triangle to reach his house from the gym'' and it can be determined by using the properties of triangle.

We have to determine

What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?

According to the question,

1.  Lin walked south, creating a right triangle-

When someone walked in only one direction then a straight line is made by him over his path.

Here Lin can not make a right triangle just by walking in one direction.

Thus statement 1 is incorrect.

2. Lin walked southwest, creating an obtuse triangle.

When someone wants to reach a diagonal direction he can use either the right angle triangle path or the obtuse triangle.  

Lin can walk southwest by creating an obtuse triangle to reach his house from the gym.

Thus statement 2 is correct.

3. Lin walked southeast, creating an acute triangle.

Actuate triangle is a triangle in which all three angles are less than the right angles (90 degrees).

With walking in actuate triangle one can make Lin can not go in his diagonal direction.

Thus statement 3 is incorrect.  

4. Lin walked directly east, creating a right triangle.

When someone walked in only one direction then a straight line is made by him over his path.

Here Lin can not make a right triangle just by walking in one direction.

Thus statement 4 is incorrect.

Hence, Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.

For more details about the Equation refer to the link given below.

https://brainly.com/question/9719077

Answer:

its B Lin walked southwest, creating an obtuse triangle

The width of the piece of metal will be 24 inches while the length will be 29 inches.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's say the width of metal w then the length will be w + 5

Now if we cut 1 inch square from the corner of the metal and then fold then the resultant cuboid will have;

Length = w+5 - 2 -= w + 3

Width = w - 2

Height = 1

So,

Volume = (w+3)(w-2)1

594 = w² + 2w + 3w - 6

w² + w - 600 = 0

By solving this

w = 24 so width will be 24 and length will be 24 + 5 = 29.

Hence "The width of the piece of metal will be 24 inches while the length will be 29 inches".

For more about rectangles,

https://brainly.com/question/15019502

#SPJ2

Answer:x

=

2

3

,

−

1

Step-by-step explanation:

Answer: The solution is k = -171.92.

Answer:

k = - 171.92

Step-by-step explanation:

[tex]\frac{k}{5.6}[/tex] + 41.5 = 10.8 ( subtract 41.5 from both sides )

[tex]\frac{k}{5.6}[/tex] = - 30.7 ( multiply both sides by 5.6 to clear the fraction )

k = - 171.92