Which value are solution of the inequality? 3r<4r-6

ANSWER:

EXPLANATION:

[tex]\frac{1}{3}(9-6m)+\frac{1}{4}(12m-8)\\\text{Distribute.}\\3 - 2m + 3m - 2\\\text{Simplify.}\\m + 1[/tex]

Answer:

I belive it is m +1

Step-by-step explanation:

The first hing you need to do is distribute, and then combine like terms.

Answer:

I would solve for x in the first equation.  X in the first equation has a coefficient of 1, unlike y in the second equation which has a coefficient of 2.  I do not have to divide to solve for my variable.

Step-by-step explanation:

I would solve for x in the first equation.  X in the first equation has a coefficient of 1, unlike y in the second equation which has a coefficient of 2.

x-3y =1

Add 3y to each side

x = 1+3y

Then substitute this into the second equation.

Max would have to subtract 7x from each side and then divide by 2

7x+2y =7

2y = -7x+7

y = -7x/2 + 7/2

This makes the math complicated when it is substituted into the first equation because we are multiplying by 3.  We will have fractions.

Answer:

Jerry solved the system of equations.

x minus 3 y = 1. 7 x + 2 y = 7.

As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement?

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7.

The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2.

The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.

correct answer is AAAAA

Answer:

The slope of the parallel line is 2/3

Step-by-step explanation:

Parallel lines have the same slope, so we need to find the slope of the line on the graph.

We can use the equation for the slope of a line

m = (y2-y1)/ (x2-x1)

   =(2-0) /(3-0)

   = 2/3

The slope of the line of the graph is 2/3  so

The slope of the parallel line is 2/3

The solution to (x-2)(x+10)=13 is x can be either 3 or -11, therefore the problem has 2 solutions.

Answer:

x = 3 or  x = -11

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Answer:

55

Step-by-step explanation:

Add from left to right

1+2+3+4+5+6+7+8+9+10

3 +3+4+5+6+7+8+9+10

6+4+5+6+7+8+9+10

10+5+6+7+8+9+10

15+6+7+8+9+10

21+7+8+9+10

28+8+9+10

36+9+10

45+10

55

Answer:

Step-by-step explanation:

• Suppose the angle is PQR where Q is the midpoint.  

• Keep the compass at angle vertex Q and adjust some wide setting (the width is not important).

• Without changing the compass, draw an arc across each leg of the angle

• Now keep the compasses on the point drawn on each leg, and draw an arc in the interior of the angle.

• Using a ruler, draw a line through the vertex to the point where the arcs cross

Answer: fold the paper through the vertex so that the rays lie on top of each other.

Step-by-step explanation: apex

Answer:

option B

Given : |x + 4| < 5

A. –5 > x + 4 < 5

B. –5 < x + 4 < 5

C. x + 4 < 5 and x + 4 < –5

D. x + 4 < 5 or x + 4 < –5

In general , |x|< n where n is positive

Then we translate to -n < x < n

|x + 4| < 5

5 is positive, so we translate the given absolute inequality to

-5 < x+4 < 5

So option B is correct

Step-by-step explanation:

Parent function f(x) = x

g(x)= -3(x-4) + 1

If any number added or subtracted with x  then graph moves left or right

Here 4 is subtracted from x, so graph move 4 units to the right

If any number added or subtracted at the end then  graph move up or down

Here 1 is added at the end, so graph move 1 unit up.

g(x) = -f(x), for negative sign the graph reflects across x axis

We have negative sign at first, so the graph reflects over x axis

The graph of [tex]\( g(x) \)[/tex] is the result of these transformations applied to the graph of the parent function [tex]\( f(x) \)[/tex].

The sequence of transformations that transforms the graph of the parent function [tex]\( f(x) = x \)[/tex] into the graph of the function [tex]\( g(x) = -3(x-4)+1 \)[/tex] involves a reflection across the x-axis, a horizontal shift, a vertical stretch, and a vertical shift.

1. Reflection across the x-axis: The negative sign in front of the function[tex]\( g(x) \)[/tex]indicates a reflection across the x-axis. This means that for every point \( (x, y) \) on the graph of [tex]\( f(x) \)[/tex], there will be a corresponding point [tex]\( (x, -y) \)[/tex] on the graph of [tex]\( g(x) \)[/tex].

2. Horizontal shift: The expression [tex]\( (x-4) \)[/tex] inside the function [tex]\( g(x) \)[/tex]indicates a horizontal shift to the right by 4 units. This means that every point on the graph of [tex]\( f(x) \)[/tex] is moved 4 units to the right along the x-axis to get the graph of [tex]\( g(x) \).[/tex]

3. Vertical stretch: The coefficient 3 in [tex]\( -3(x-4) \)[/tex] indicates a vertical stretch by a factor of 3. This means that for every point [tex]\( (x, y) \)[/tex] on the graph of the reflected function[tex]\( -f(x) \)[/tex], the y-coordinate is multiplied by 3 to get the corresponding point [tex]\( (x, 3y) \)[/tex] on the graph of [tex]\( g(x) \)[/tex].

4. Vertical shift: Finally, the[tex]\( +1 \)[/tex] at the end of the function [tex]\( g(x) \)[/tex]indicates a vertical shift upwards by 1 unit. This means that every point on the graph of [tex]\( -3f(x-4) \)[/tex] is moved 1 unit up along the y-axis to get the graph of [tex]\( g(x) \).[/tex]

Putting it all together, the sequence of transformations is as follows:

 - Start with the parent function [tex]\( f(x) = x \).[/tex]

- Reflect the graph across the x-axis to get [tex]\( -f(x) \).[/tex]

- Shift the graph 4 units to the right to get [tex]\( -f(x-4) \).[/tex]

- Stretch the graph vertically by a factor of 3 to get [tex]\( -3f(x-4) \).[/tex]

- Shift the graph 1 unit upwards to get [tex]\( -3f(x-4) + 1 \),[/tex] which is the function [tex]\( g(x) \)[/tex].

Therefore, the graph of [tex]\( g(x) \)[/tex] is the result of these transformations applied to the graph of the parent function [tex]\( f(x) \)[/tex].

Divide 46 on both sides to get f(x)=((x+2)^3-3)/46. The domain ranges from negative infinity to infinity. The range ranges from -infinity to infinity as well because the exponent is 3, so the resulting number may be negative.

Remember, when graphing cubics, there is always two turns. The following graph is from Desmos.

Answer:

it will take 15 weeks for Nancy’s account to have TWICE as much money as Fred’s account

Step-by-step explanation:

Fred brown and his sister, Nancy, each have $15 in the bank

Initially both Fred and Nancy have $15

Every week Nancy plans to add $3 to her account

Let 'n' be the number of weeks she plans to add in her account

for 1 week, $3

For n weeks , its 3n

So amount of money in Nancy's account after 'n' weeks = 15 + 3n

Fret plans to add $1 to his account each week

for 1 week, $1

For n weeks , its 1n

So amount of money in Fred's account after 'n' weeks = 15 + 1n

Now we need to find out 'n' when

Nancy's account = 2 times of Fred's account

15 + 3n = 2(15+1n)

Distribute 2 inside the parenthesis

15 + 3n = 30 + 2n

Subtract 2n on both sides

15 + n = 30

Subtract 15 on both sides

n = 15

Hence, it will take 15 weeks for Nancy’s account to have TWICE as much money as Fred’s account

[tex]-3x+2y=11\qquad\text{add 3x to both sides}\\\\2y=3x+11\qquad\text{divide both sides by 2}\\\\y=\dfrac{3}{2}x+\dfrac{11}{2}\\\\for\ x=1\to y=\dfrac{3}{2}(1)+\dfrac{11}{2}=\dfrac{3}{2}+\dfrac{11}{2}=\dfrac{14}{2}=7\to(1,\ 7)\\\\for\ x=-3\to y=\dfrac{3}{2}(-3)+\dfrac{11}{2}=-\dfrac{9}{2}+\dfrac{11}{2}=\dfrac{2}{2}=1\to(-3,\ 1)\\\\for\ x=-5\to y=\dfrac{3}{2}(-5)+\dfrac{11}{2}=-\dfrac{15}{2}+\dfrac{11}{2}=-\dfrac{4}{2}=-2\to(-5,\ -2)[/tex]

The length of the rectangular playground can be determined using the conversion of the area formula, Length = Area ÷ Width. Substituting the values provided gives us Length = 3,162 ÷ 51.

The subject of this question is mathematics, more specifically, the topic involves calculating the dimensions of a rectangle when given the area and one side length. In this case, the student is asked to determine the length of a rectangular playground that has an area of 3,162 square meters and a known width of 51 meters.

The area of a rectangle is calculated by multiplying its length by its width, according to the formula: Area = Length x Width. This can be rearranged to find Length, resulting in: Length = Area ÷ Width.

Plugging in the values provided, we find the length by using the rearranged formula:

Length = 3,162 ÷ 51

With these calculations, we would find our answer for the length of the playground.

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let's say Artaud's age is "x", its opposite will then be -x, so

[tex]\bf \stackrel{\textit{opposite of his age plus 40}}{-x+40}~~\stackrel{is}{=}~~28\implies -x+40-28=0 \\\\\\ -x+12=0\implies \boxed{12=x}[/tex]

Answer:

12 years old

Step-by-step explanation:

28 - 40 = -12

Note that -12 is the opposite of 12.

Artaud is 12

Answer:

sum

Step-by-step explanation:

We have that, 'The multiplication of two or more quantities may be expressed as the repeated addition of the same quantities'.

i.e. multiplication of two or more terms is equal to adding as many copies of one of them.

i.e. a × b = a + a + ... ( 'b' number of times ) = b + b + .... ( 'a' number of times )

For example,

2 × 4 = 8

2 × 4 = 2 + 2 + 2 + 2 = 8 i.e. adding 2 four times

2 × 4 =  4 + 4 = 8 i.e. adding 4 two times

or

3 × 7 = 21

3 × 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3 = 21 i.e. adding 3 seven times

3 × 7 = 7 + 7 + 7 = 21 i.e. adding 7 three times.

Hence,  'The multiplication of two or more quantities may be expressed as the repeated addition of the same quantities'.

The multiplication of two or more quantities can be expressed as the product of the same quantities in mathematics.

Multiplication is a fundamental arithmetic operation that combines two or more numbers to find their total value. It represents repeated addition and is denoted by the "×" or "*" symbol. For example, multiplying 5 by 3 results in 5 * 3 = 15, indicating that the value is added five times.

In mathematics, the multiplication of two or more quantities may be expressed as the product of the same quantities. For example, if you multiply 2 by 3, the product is 6. This concept of multiplication applies to all quantities, whether they are numbers or variables.

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Your answer to 284*36 will be 10,224.Hope this helps!

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