The formula that represents the image is:

The statement which is not true for the given number line is |c| < d.

The visual representation of numbers on a straight line, either horizontally or vertically, is known as a number line. When numbers are written down on a number line, it is straightforward for humans to compare them and perform basic arithmetic operations on them. One might assume that a number line starts at zero (0). There are only negative numbers to the left of zero and only positive numbers to the right of zero. In other words, as we move to the right on a number line, the value of the numbers increases. This shows that the numbers on the right are more numerous than those on the left.

When any value is written within the mod, it is always considered a positive value.

So, accordingly option (B) |c| < d is the correct answer.

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The quotient of the fractions is -5/12

Expressions are mathematical statements that are represented by variables, coefficients and operators

The fraction expression is given as

-2 1/2 ÷ 6

Express the mixed number -2 1/2  as an improper fraction

So, we have

-2 1/2 ÷ 6 = -5/2 ÷ 6

Express the division as a product expression

So, we have

-2 1/2 ÷ 6 = -5/2 x 1/6

Evaluate the products

So, we have

-2 1/2 ÷ 6 = -5/12

Hence, the value of the expression is -5/12

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The sign is a parallelogram because both the pairs of the opposite sides are parallel.

A parallelogram is a quadrilateral with two sets of parallel sides. A parallelogram has opposing sides that are the same length and angles that are the same size. the internal angles on the same side that are in addition to the transversal. The sum of all interior angles is 360 degrees.

Characteristics of a parallelogram:

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Answer:

B

Step-by-step explanation:

The absolute value of -x+2 is 2-|x-2|.

What is the Absolute Value ?

The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.

Since the absolute value is isolated, we set it equal to the positive and negative of the constant

Therefore,

|(-x+2)| =
for x < 2, -(-x + 2)

for x ≥ 2, (x + 2)

Hence, This is so that no matter the value of x, the value of the function is always greater or equal to 0.

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[tex]\angle 1=88^{\circ}[/tex] (linear pair)

[tex]\angle 3=92^{\circ}[/tex] (vertical angles)

[tex]\angle 4=88^{\circ}[/tex] (linear pair)

[tex]\angle 5=88^{\circ}[/tex] (corresponding angles)

[tex]\angle 6=92^{\circ}[/tex] (corresponding angles)

[tex]\angle 7=92^{\circ}[/tex] (linear pair)

[tex]\angle 8=88^{\circ}[/tex] (linear pair)

Using proportional relationships, it is discovered that they will cover 32 miles overall by walking 12 laps and running 20 laps.

For the second issue, the appropriate response is:

Brown 12 10 14 30

Green 20 25 35 75

Total 32 35 49 105

What is a direct proportional relationship?

In a direct proportional connection, the output variable is determined by multiplying the input variable by the proportionality constant, k, as in the example below:

y = kx.

For the first question, we have that out of a total distance of 8 miles, they:

Walk 3/8 of the distance.

Run 5/8 of the distance.

Hence the proportional relationships for the distances are given as follows:

Walked = 3/8 x Total Distance.

Ran = 5/8 x Total Distance.

For a total distance of 32 miles, the distances walked and ran are given as follows:

Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.

Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.

For the second question, we have that the table has to following the given ratios of the first row to the second row, with the third row being the sum of the first two rows, hence the third table is correct.

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we know that

cost between $25 us and $40 us

Convert 21,130 RP to US

we have

1 RP=0.0147 US

so

Applying proportion

0.0147/1=x/21,130

solve for x

x=21,130*0.0147

x=310.61 US

so

310.61 US is not in the interval [25 US, 40 US]

that means

Answer:

6.5

Step-by-step explanation:

A=hxb

Jan should use 75 carrots for mixed vegetable soup.

Let us assume the total number of tomatoes and carrots be x. So, as per the mentioned information, the equation will be -

40%×x = 50

Converting percentage to fraction

40/100×x = 50

x = 50×100/40

Cancelling zero and performing division

x = 5×25

Performing multiplication

x = 125

Total number of vegetables = number of tomatoes + number of carrots

125 = 50 + Number of carrots

Number of carrots = 125 - 50

Performing subtraction

Number of carrots = 75

Therefore, Jan should use 75 carrots.

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The complete question is -

Jan made a mixed vegetable soup using tomatoes and carrots. Forty percent of the mixed vegetables were tomatoes. If she used a total of 50 tomatoes, how many carrots should she use?

Answer:

Step-by-step explanation:

75 carrots should be used

Answer: -23/6

Step-by-step explanation:

The station owner make a good economic decision in raising the parking prices from one year to the next Ashe made an extra profit of $250.

From the information, the gasoline station very near a professional football stadium parks cars on its lot to make money on game days. Last year it charged $4.00 per car and parked 1000 cars. The amount made last year will be:

= Amount charged × Number of cars

= $4 × 10000

= $4000

This year it raised the parking price to $5.00 and parked 850 cars. The amount made will be:

= $5 × 850

= $4250

Therefore, the profit made will be:

= $4250 - $4000

= $250

He made a good decision.

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Answer:

21 + t > 33

t > 12

Hope this helps!

Step-by-step explanation:

Answer:

7, 23

Step-by-step explanation:

R could lie either to the left of S or to the right of S on the number line

Therefore possible values for R are 15-8 = 7

and 15 + 8 = 23

Answer:

X/2 = 12

7X = 168

Step-by-step explanation:

180 = X/2 + 7X

180 = 7.5 X

X = 24

We have the temperature points measured on the Fahrenheit scale.

The highest point is 110°f

The lowest point is -28°f

The difference between the two points would be as follows

In conclusion, the difference is 138°f

Solve the equation for x, solve the operations between similar terms.

x has a value of -1.

Given:

To find:

We need to find the same transformation of the given function.

Explanation:

The function g(x) is translated 6 units right and 4 units down to get f(x).

Consdier the function :

:

Final answer:

The following functions have the same transformation as give f(x0.

The symbol that looks like an inverted U means interception. The interception of B and C is given by al the elements that B and C share. In order to find it we simply need to writte B and C and find the numbers that are part of both:

As you can see there is no nuber that belongs simultaneously to both B and C. This means that the intersection between B and C is an empty set and is represented with the following symbol:

So D is the correct option.

Given:

Required:

We need to find the set that has the subset E.

Explanation:

Recall that a set A is a subset of another set B if all elements of set A are elements of set B.Consider the set A = {1, 2, 4, 7, 10, 11, 9, 6}.

Element 6 from E is not an element of A.

Set E is not a subset of set A.

B = {2, 4, 6}.

7B

Set E is not a subset of set B

D = {4, 6, 8, 10, 12, ...}

2D

D.

C = {1, 2, 3, 4, 5, 7, 8, 9, 10}

Set C has all the elements of E.

C

Final answer:

The computation of the expression using the fewest possible terms is D. 21 over 40 times t plus positive 22

It should be noted that on Mathematics, an expression is used to show the relationship between the variables that are given or illustrated.

In this case, the expression given is illustrated as three fourths times t minus 5 plus two fifths times t end quantity minus quantity five eighths times t plus 17 end quantity.

This will be:

= (3/4t - 5 + 2/5t) - (5/8t + 17)

= (15/20t + 8/20t - 5) - (5/8t + 17)

= 23/20t - 5 - 5/8t + 17

= 46/40t - 5 - 25/70t + 17

= 21/40t + 12

Therefore, the correct option is D.

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In the picture, There is graph with a triangle SNZ. The reflected triangle of y=3 as (1,2),(5,3) and (5,5).

Given that,

In the picture, There is graph with a triangle.

The triangle is SNZ.

We have to find the reflection across y=3.

We have to draw a line on y=3.

On the line y=3,

Z point is there so it will be same that is (5,3).

Now, the point S is on (5,1)

Here, y is 1 that is 3+2=5

So, we take the reflected S point as (5,5)

Now, the point N is on (1,4)

Here, y is 4 that is 3-1=2

So, we take the reflected N point as (1,2).

Therefore, we get the reflected triangle of y=3 as (1,2),(5,3) and (5,5).

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The reflected triangle of y=3 as (1,2),(5,3) and (5,5)

In the picture, there is graph with a triangle SNZ

We have to find the reflection across y=3

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure

We have to draw a line on y=3

On the line y=3

Z point is there so it will be same that is (5,3).

The point S is on (5,1)

Here, y is 1 that is 3+2=5

Take the reflected S point as (5,5)

The point N is on (1,4)

Here, y is 4 that is 3-1=2

Take the reflected N point as (1,2)

Therefore, the reflected triangle of y=3 as (1,2),(5,3) and (5,5)

The reflected triangle of y=3 as (1,2),(5,3) and (5,5)

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y = 1100 + 15x.

Rewriting

y = 15x+1100

This is in slope intercept form

15 is the slope. It is the change for each x

It is the change for each book

The change in total cost for each book is 15 dollars

The y intercept is 1100. It is the cost when x =0. It is the cost when there are no books printed.

It is the cost to get started

The start up cost is 1100 dollars.

The sets of P is a subsets of the universal sets.

Sets are defined as the collection of objects whose elements are fixed and can not be changed.

In other words, a set is a collection of elements or numbers or objects, represented within the curly brackets { }. For example a collections of alphabets {a, b, c, d, e, f, g, h}

Therefore, universal set (usually denoted by U) is a set which has elements of all the related sets, without any repetition of elements.

Hence,

universal set = ∪ = {1,2,3,4,5,6,7,8,9,10}

Therefore,

P = {1,3,5,7,9}.

P is a subsets of the universal sets.

The subsets is a part of the universal set.

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Let the expression we will add be "A", thus we can write:

We can use the distributive property on the right hand side and then use a bit algebra to solve for "A". The distributive property is shown below:

Let's do the algebra. The steps are shown below:

Thus, we need to add 4x + 2 to "5x + 7" to make it equal to "9(x+1)".

The correct answer is:

Answer:

The piecewise function is given below as

Step 1:

To figure out h(-4),

The function that satisfies this is given below as

Therefore,

Substitute the value of x=-4

Hence,

h( -4 ) = -4

Step 2:

To figure out h(0)

The function that satisfies this condition is given below as

Hence,

Substitue the value of x = 0

Hence,

The value for h( 0 ) = 0

Step 3:

To figure out h( 1)

The function that satisfies this condition is given below as

Substitute x= 1 in the equation below

Hence,

The value of h(1) = -1

A function is said to be an odd function if its graph is symmetric with respect to the origin.

Examples of odd functions are;

The odd functions are; C, D E, H, J, K, N