what is the slope of the line

The required, simplified expression is 2x - 6y(2a - x) + 6y.

To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.

2x - 6y(2a - x) + 6y.

Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:

2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
                           = 2x - 6y(2a - x) + 6y

Learn more about simplification here:

https://brainly.com/question/30200858

#SPJ1

Answer:

1,800 lbs of sand

900 lbs of gravel

600 lbs of cement

Step-by-step explanation: 11*300=3,300. 300*6=1,800, 300*3=900, and 300*2=600. This is correct because if you add 1,800+900+600 you get 3,300.

Answer:

The mean number of customers that will arrive in a five-minute period is 2.

Step-by-step explanation:

a. What is the mean or expected number of customers that will arrive in a five-minute period

For one minute, the mean is of 0.4 customers.

So, using proportions, for 5 minutes, the mean is of 5*0.4 = 2 customers.

The mean number of customers that will arrive in a five-minute period is 2.

The linear function that has the greatest initial value is Function C.

Function B has the greatest rate of change.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function A:

The initial value is o.

f(0) = 0

The rate of change.

= (f(4) - f(2)) / 4 - 2

= (10 - 5) / 2

= 5/2

= 2.5

Function B:

The initial value is

y = 3x - 1

y = 3 x 0 - 1 = 0 - 1 = -1

Let y = f(x)

The rate of change.

= (f(2) - f(1)) / (2 - 1)

= (5 - 2) / 1

= 3

Function C:

The initial value is 2.

(0, 2) is considered as when x = 0, y = 2.

Take two coordinates from the graph.

(3, 3) and (6, 4)

The rate of change.

= (4 - 3) / (6 - 3)

= 1/3

= 0.33

Thus,

Function C has the greatest initial value.

Function B has the greatest rate of change.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Answer:

a

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

this is because both number are to the left of zero which makes both numbers negative which leaves you with one answer.

Answer:

Step 2

Step-by-step explanation:

from Step 1      4/3 - 1/3 = 3/3  = 1   =  q   =  q + 1/3 - 1/3

Answer:

9

30

2.5

4

Step-by-step explanation:

I hope you understand cause I did it mentally but if you need and explanation just text here

The room is 18 ft by 26 ft which is 468 ft^2

She can afford a 240 ft^2 rug

12 * 20 = 240

She can afford a rug that is 12 ft wide by 20 ft long

The dimensions that the rug she wants to buy should have is: 12 ft by 240 ft

The formula for the area of a rectangle is expressed as:

Area = length * Width

Now, we are told that:

Dimensions of room = 18 ft by 26 ft

If she leaves a strip of 3ft across the room, then, we can say that area that needs carpeting = 12 ft by 20 ft

Let us check with the 240 square feet of carpeting

12 * 20 = 240 ft

Read more about area of rectangle at: https://brainly.com/question/2607596

#SPJ2

Answer: The area  is 13\(\pi\)ft^2 or  40.84 ft^2

Step-by-step explanation:

First find the area of the square and subtract it from the area of the circle.

The area of a square is  one of the side length squared.

A= 6^2

A = 36  

Now find the area of the whole circle.As it indicates that the diameter is 14ft and to find the area of a circle,we need square the radius and multiply it by pi.

Since the diameter is 14 divide it by 2 to find the radius.  14/2 = 7  

A= 7^2*\(\pi\)  

A = 49\(\pi\)   We will leave the area in terms of pi.

49\(\pi\) - 36 = 13\(\pi\)

Answer:

b

Step-by-step explanation:

The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The volume of the closet space = 207,936 in³

The volume of the one roll of toilet paper = 141.3in³

To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.

Where;

length = 57 in

width = 57

height = 64

volume = 57×57×64 = 207,936 in³

The volume of the toilet paper with the shape of a cylinder would be = πr²h

where;

radius = diameter/2= 6/2=3in

height = 5 in

volume of cylinder = 3.14×3×3×5 =141.3in³

Learn more about volume here:

https://brainly.com/question/30794567

#SPJ1

The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.

In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.

The next choice shows the triangle's side length:

The point is,

The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.

Using Pythagoras' Theorem.

Use the formula:

a² + b² = c²

For 4, 8, 11

4, 8, 11

4² + 8² = 16 + 64 = 80

11² = 121

80 is not equal to 121 it cann ot form a right triangle

For 6, 8, 13

6² + 8² = 36 + 64 = 100

13² = 169

100 is equal to 169 - 69 can form a right triangle

For √3, √5, 8

(√3)² + (√5)² = 3 + 5 = 8

8² = 64

8 is equal to 64 cannot form a right triangle

For √3, √13, 4

(√3)² + (√13)² = 3 + 13 = 16

4² = 16

16 is equal to 16 can form a right triangle

In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.

To know more about right triangle, visit:

https://brainly.com/question/28908116

#SPJ1

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Answer:

The answer is "0.02%"

Step-by-step explanation:

It will propose the percentage model i.e (\(\frac{500000}{100}=5000\)) to find a good bid Therefore one percentage means \(\$5000\) or one individual gets \(\$5000\) taxable income if the probability is \(1\%\) . For even a chance of \(2\% \ of \ \$10000\) 

However if we increase the chances of 0-100% the amount also increases accordingly from 0-1 million, we get much more than $500,000 also as the degree of attraction. In\(\$200,000\) respectively \(0-100\%\) implies that its total will rise appropriately from \(0-\$200,000\). Thus, p* is at \(50\% =\$ 100,000\) .

The sequence of transformations that proves that the shapes are similar is given as follows:

B. a reflection across the x-axis, and then a dilation by a scale factor of 1.5

First, we have that the orientation of the figure, hence it was reflected.

The figure was reflected from the second quadrant to the third quadrant, hence the figure was reflected over the x-axis.

The base segment changes from a length of 2 units to a 3 units, hence the scale factor of the dilation is given as follows:

3/2 = 1.5.

Hence option B is the correct option for this problem.

The missing parts of the problem are given by the image presented at the end of the answer.

More can be learned about transformations in a figure at https://brainly.com/question/28687396

#SPJ1

The greatest number of binders Eula can buy is 5

The greatest number of notebooks Eula can buy is 10

The greatest number of binders she can buy  if Eula buys 7 notebooks is 3/2

It is an order relationship that is greater than, greater than, or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

We have,

4x + 2y ≤ 20

x = number of binders

y = number of notebooks

The greatest number of binders Eula can buy:

Put y = 0.

4x + 2 x 0 ≤ 20

4x ≤ 20

x ≤ 20/4

x ≤ 5

The greatest number of notebooks Eula can buy:

Put x = 0.

4x + 2y ≤ 20

4 x 0 + 2y ≤ 20

2y ≤ 20

y ≤ 10

Eula buys 7 notebooks then, the greatest number of binders she can buy:

4x + 2y ≤ 20

4x + 2 x 7 ≤ 20

4x + 14 ≤ 20

4x ≤ 20 - 14

4x ≤ 6

x ≤ 6/4

x ≤ 3/2

Thus,

The greatest number of binders Eula can buy is 5

The greatest number of notebooks Eula can buy is 10

The greatest number of binders she can buy  if Eula buys 7 notebooks is 3/2

Learn more about inequalities here:

https://brainly.com/question/3670690

#SPJ1

Answer:

Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. She has $20. The graph of the inequality 4x + 2y ≤ 20, which represents the situation, is shown.What is the greatest number of binders Eula can buy? What is the greatest number of notebooks Eula can buy? If Eula buys 7 notebooks, what is the greatest number of binders she can buy?  ⇒ 1

Step-by-step explanation:

The graph does not represent a function as it it fails the vertical line test.

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is f ( x )

The function has two ranges for a given domain

And , a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

So , it is not a function

Hence , the graph is not a function

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ7

Answer:

  -4

Step-by-step explanation:

If you multiply out the square, you can see ...

  (x +p)^2 = q

  x^2 +2px +p^2 = q

The coefficient of the x-term is 2p, so ...

  2p = -8

  p = -8/2 = -4

A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:

Corresponding angles: ∠1 ≅ ∠5.

Alternate interior angles: ∠4 ≅ ∠6.

Alternate exterior angles: ∠2 ≅ ∠8

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:

∠1 ≅ ∠5

By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:

∠4 ≅ ∠6

By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:

∠2 ≅ ∠8

Read more on alternate interior angle here: https://brainly.com/question/24839702

#SPJ1

For the following equation, the x-intercept is (3/2, 0) and the y-intercept is (0, 6).

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

y+2=-4(x-2)

for x-intercept=(x,0)

2=-4(x-2)

2=-4x+8

4x=6

x=6/4=3/2

for y-intercept=(0,y)

y+2=-4(*-2)

y=6

The x-intercept is (3/2,0) and y-intercept is (0,6) for given equation.

To know more about equation,

https://brainly.com/question/2228446

#SPJ1

Answer:

Equation is \(8M + 7P = 131\)

\(M = \$12\)

Step-by-step explanation:

Given

Jason: 6 Movies and 4 popcorn

Michael: 2 Movies and 3 Popcorn

1 Popcorn = $5

Total = $131

Required

- Write an equation to solve

Represent Movie with M and Popcorn with P

For Jason, we have:

6M + 4P

For Michael, we have:

2M + 3P

Add these parameters together

Jason + Michael = $131

\(6M + 4P + 2M + 3P = 131\)

Collect Like Terms

\(6M + 2M+ 4P + 3P = 131\)

\(8M + 7P = 131\)

Hence the equation is \(8M + 7P = 131\)

From the question, we have that

\(P = \$5\)

Substitute 5 for P

\(8M + 7 * 5 = 131\)

\(8M + 35 = 131\)

Solve for M

\(8M = 131 -35\)

\(8M = 96\)

\(M = \frac{96}{8}\)

\(M = \$12\)

Answer:

Tublu has more than enough paint to cover the tank surface in one layer coating

Step-by-step explanation:

Height of the cylinder = 1.4 m

diameter of the cylinder = 1.1 m

total volume of paint available = 2 litres

It takes 250 ml to cover 1 m^2 of the tank body

Since only the body is to be painted, we find the perimeter of the circle formed by the body of the tank.

perimeter of the circle formed by the body of the  tank = \(\pi d\)

==> 3.142 x 1.1 = 3.456 m

This perimeter, if spread out, will form a rectangle with a height of 1.4 m from the base.

The area of the rectangle that will be formed =  (perimeter of the cylinder body) x ( height of the cylinder)

==> 3.456 x 1.4 = 4.838 m^2

This is the area that needs to be painted.

Converting the paint volume,

250 ml = 0.25 litres

To paint the above calculated are, we will need 4.838 x 0.25 = 1.21 litres of paint, (of course, excluding the base)

The volume of paint available = 2 litres

volume of paint needed = 1.21 litres

Tublu has more than enough paint to cover the tank surface in one layer coating

Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

Answer:

A

Step-by-step explanation:

It charges cheapeer

Answer:

Equilateral triangle: All three sides are equal.

Isosceles triangle: All two sides are equal.

Scalene triangle: No sides are equal.

Step-by-step explanation: Step 1: Label the given points as A, B, and C, and plot them as vertices of a triangle with connecting lines to draw the triangle we are working to identify.

Step 2: Calculate the side length AB using the distance formula.

Step 3: Calculate the side length BC using the distance formula.

Step 4: Calculate the side length AC using the distance formula.

Step 5: Compare the side lengths AB, BC, and AC from the previous steps to define the triangle type.

Answer:

20 inches of water

Step-by-step explanation:

15 feet / 1.5 feet = 10

10 * 2 inches = 20 inches