Which of these graphs represents a function?
OA. W
OB.
X
C. Y
OD. Z
y
5
1032 -
2
-5-4-3-2-11 1 2 3 4 5
-2
-3
35
-4
-5
W.
y
5
4
321
123
-5-4-3-2-1 1 2 3 4 5
-2
-3
-4
457
Y.
Xx
४
४
5
4
3
y
2
1
-5-4-3-2-11 1 2345
423
-2
-4
X.
e
55221
423
-5-4-3-2-11
-2
-3
-4
-5
12345
N
Z.
A
x
X

Evaluating The function

f(x) = 8x - 3 ;

f(0) =  -3

f(4) =  29

f(-4) = -35

f(2) =  13

f(-3) = -27

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The collection of values that might result in a function's outputs is known as the co-domain.

The function

f(x) = 8x - 3

Evaluating

f(0) = 8 *0 - 3  = -3

f(4) = 8*4 -3 = 29

f(-4) = 8*(-4) -3 = -35

f(2) = 8*2 - 3 = 13

f(-3) = 8(-3) -3 = -27

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An interval on the graph above that is increasing include the following: B. -2 < x < 2.

For any given function, y = f(x), if the output value (range) is increasing when the input value (domain) is increased, then, the function is generally referred to as an increasing function.

On the other hand (conversely), if the output value (range) is decreasing when the input value (domain) is increased, then, the function is generally referred to as a decreasing function.

By critically observing the graph above, we can reasonably infer and logically deduce that it is increasing over the interval -2 < x < 2.

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The amount of cough syrup the pharmacist have left is 1600 millilitres.

The pharmacist has a 2.8 L bottle of cough syrup. She fills a bottle that is 1200 ml . The amount of cough syrup the Pharmacist has left can be calculated as follows:

Let's convert litres to millilitres

Therefore,

1 litres = 1000 millilitres

2.8 litres = ?

cross multiply

Therefore,

amount of syrup in millilitres = 2.8 × 1000

amount of syrup in millilitres = 2800 millilitres.

Therefore,

amount of cough syrup the pharmacist has left = 2800 - 1200 = 1600 millilitres.

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Angela has 15 cans

Brian has 8 cans

Carlos has 12 cans

Danielle has 0 cans

This question uses the comparison theory.

Step 1: Carlos has 12 cans.

Step 2: Brian has 4 fewer than Carlos, so Brian has 8 cans.

Step 3: Angela has 3x many than Brian, so Angela has 24 cans.

Step 4: Everyone has more than Danielle, so Danielle has 0 cans.

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The lower bound for the given numbers is 41.66. the maximum: 42.19

The top and lower boundaries of a rounded number are as follows: Determine the claimed level of accuracy's place value. Multiply this place value by two. Add this amount to the given value to determine the upper bound, and subtract this amount to determine the lower bound. The maximum and smallest values that a number may have before it was rounded are known as upper and lower limits. They are also known as accuracy limits.

The lower: a=49.35. b=7.69

so the lower bounds is:

a-b=49,35-7.69 =41.66 = a=49.49.34.

b=755 the upper = a= So the upper bounds is = a-b= 42.79.

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The domain of the graph is D)(-∞,5].

What is domain of the function?

Domain is the set that contains all possible input values for the function. In a graph, it is given by the values of x.The collection of all potential inputs for a function is known as its domain. For instance, the domain of f(x)=[tex]x^2[/tex] and g(x)=1/x are all real integers with the exception of x=0.

In given graph we can observe horizontal extent of the graph is -∝ to 5. Then the domain of the graph is (-∞,5].

Thus the domain of the graph is D)(-∞,5].

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In the given geometric sequences, it is found that:

A. As the quotient between consecutive terms is the same, the data is a geometric sequence.

B. The recursive formula is:

f(n) = f(n-1)* 2 ^n-1, f(1) = 2

C. She will need a time of 1024 units to complete the 10th station.

When two consecutive words in a sequence have the same difference, the sequence is said to be arithmetic. The sequence is geometric if the quotient between related terms is the same.  

For item a:

When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.

For Item b:

The recursive formula for a geometric sequence with a common ratio  and the first term  is given by:

f(n) = f(n-1)* q ^n-1, f(1) = a

for our case

f(n) = f(n-1)* 2 ^n-1, f(1) = 2

For Item c:

The explicit formula for a geometric sequence with a common ratio  and the first term  is given by:

an  = a1 q^n-1

Hence, in this question:

an = 2(2)^n-1 = 2^n

For the 10th station:

a10 = 2 = 1024

Therefore, She will need a time of 1024 units to complete the 10th station.

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y=580(1.17)ˣ is the exponential equation used to model the quail population.

The mathematical expression f(x)=exp or ex denotes the exponential function. The term, unless specifically stated otherwise, generally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras. A mathematical function with the following form is an exponential function: Where x is a variable and an is a constant known as the function's base, the formula is f (x) = an x. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.

Here,

Aο=580

r%=17%

r=0.17

y=Aο(1+r)ˣ

y=580(1+0.17)ˣ

y=580(1.17)ˣ

The exponential model to model the quail population is y=580(1.17)ˣ.

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The side that is opposite to the 60° angle, BC = y × √3 = y√3 will be the medium length.

What is angle ?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

A 30-60-90 triangle is a special triangle since the length of its sides is always in a consistent relationship with one another.

In the below-given 30-60-90 triangle ABC, ∠ C = 30°,∠ A = 60°, and ∠ B = 90°. We can understand the relationship between each of the sides from the below definitions:

The side that is opposite to the 30° angle, AB = y will always be the smallest since 30° is the smallest angle in this triangle

The side that is opposite to the 60° angle, BC = y × √3 = y√3 will be the medium length because 60° is the mid-sized degree angle in this triangle

On the side that is opposite to the 90° angle, the hypotenuse AC = 2y will be the largest side because 90° is the largest angle.

The side that is opposite to the 60° angle, BC = y × √3 = y√3 will be the medium length.

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The solution for the inequality is x∈(-∞,4)U(1,+∞)

What is inequality?

Inequality is a statement that compares two values and states that one value is greater than, less than, or not equal to the other value.

To solve the inequality (x-4)(x-1)>0, we can first factor it:

(x-4)(x-1)>0

We can then use the Zero Product Property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.

So we get:

x-4=0 or x-1=0

x = 4 or x = 1

Now we will test the sign of inequality for x-4 and x-1.

x<4 or x>1

Hence, the solution for the inequality is x∈(-∞,4)U(1,+∞)

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D.0.125

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.

You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

Step by Step Exlaination:

A spinner is divided into 8 parts.

Numbered as 9 to 16.

S={9,10,11,12,13,14,15,16}

n(S)=8.

A:probability of getting reater than 15.

A={16}

m(A)=1

p(A)=m(A)/n(S).

      = 1/8.

      =0.125

p(A)=0.125

Probability of getting greater than 15 is 0.125

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Answer:

x = 110°, z = 32°

Step-by-step explanation:

x + 70 = 180 (Exterior angles)

x = 110

4z - 58 + 110 = 180 ( Linear pair)

4z = 128

z = 32

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Answer:yo mom

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 48.

The volume of this prism is 3150 cm³.

step1:

given 11cm, 19cm, 14cm, 11cm

To find: volume of given prism

the given prism is combination two prism

Triangular prism

cuboidal prism

volume of cuboidal prism =l*b*h

                                          =(15*14*11) cm^3

                                           =2310cm^3

step2:

volume of triangular prism=1/2*l*b*h

                                           =1/2*15*8*14    

                                            =840cm^3

step3:

volume of given prism=volume of cuboid + volume of triangular prism

                                     =(2310+840)cm^3

                                      =3150cm^3

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The cost of cementing the path at the rate of ₹ 5 per m² is ₹ 6500.

What is a rectangle field?

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Here, we have

Given:

Length of the whole field = 80m

The breadth of the whole field = 60m

∴ Area of the whole field = ( Length × breadth )

= 80m × 60m

= ( 80 × 60 ) m²

= 4800m²

Length of the field excluding the path

= [ 80 - ( 5 + 5 ) ] m

= [ 80 - 10 ] m

= 70m

The breadth of the field excluding the path

= [ 60 - ( 5 + 5 ) ] m

= [ 60 - 10 ] m

= 50m

∴ Area of the field excluding the path

= 70m × 50m

= ( 70 × 50 ) m²

= 3500m²

Now, the area of the path,

= 4800m² - 3500m²

= ( 4800 - 3500 ) m²

= 1300m²

According to the question,

The cost of cementing the path at the rate of ₹ 5 per m² is,

= ₹ ( 1300 × 5 )

= ₹ 6500

Hence, the cost of cementing the path at the rate of ₹ 5 per m² is ₹ 6500.

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The inequality that is true is option D. Negative 1 greater-than three-fourths

An inequality is a statement in which two expressions or values are not equal to each other, but have a certain relationship, such as 3 + 4 > 7 or x + y < z. Inequalities can be represented by different symbols, such as <, >, ≤, ≥, ≠ which denotes "less than", "greater than", "less than or equal to", "greater than or equal to", and "not equal to" respectively

An equality, on the other hand, is a statement in which two expressions or values are equal to each other, such as 3 + 4 = 7 or x + y = z. It is represented by the symbol "=".

Therefore, the correct answer is as given above

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A plan with sufficient specifics to carry out a task or goal is called an action plan.

An action plan is a document used in project management that outlines the activities to take in order to accomplish the project's goals and objectives. Therefore, an action plan specifies the resources you'll need to achieve those goals, creates a timeframe for the tasks or action items, and establishes the team members you'll need to complete it all.

An action plan is a detailed checklist of the steps and materials required to finish a project or reach a goal. It can be viewed as a visual countdown to project completion or a list of tasks necessary to produce desired results.

A plan with sufficient specifics to accomplish a task or goal is called an action plan.

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There are three ways to solve systems of linear equations in two variables graphing ,substitution method ,elimination method.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

What makes an equation linear?

When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1. This is the basis for the term "linear equation" being used to describe it.

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The distance between any two points is represented by the length of the line segment separating them. The two locations are connected by a solitary line.

The length of the line segment connecting any two points represents the distance between them.

There is just one line that connects the two places.

Therefore, by measuring the length of the line segment that connects the two sites, the distance between them may be determined.

The length of the line segment is the separation between two points.

Congruent segments are those that are the same length.

By using a ruler to construct a line, we may determine how far apart two points are from one another.

Therefore, the distance between any two points is represented by the length of the line segment separating them. The two locations are connected by a solitary line.

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Enrique's statement some numbers have an odd number of factors is correct

Rob's statement was that the factors of a number is always an even number, while Enrique's admitted that odd number can be involved

A factor refers to a number that divides another number without remainder.

The statement can be verified by finding a number that will have both odd and even factors.

Let the number be 40

factors of 40 : 1, 2, 4, 5, 8, 10, 20 and 40.

5 is and odd number and 8 is even number and 5 * 8 = 40

Because of this, it is right to say that  Enrique is correct

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Answer:

29

Step-by-step explanation:

The total number of apps can be determined by multiplying the number of rows of apps by the number of apps in each row:

6*8 = 48

If she deleted 19 apps, then:

48-19 = 29 apps

Therefore if she deleted 19 apps she'd have 29 remaining.

Answer:

The scale of the map is 1 cm: 0.5 km, which means that 1 cm on the map represents 0.5 km in real life.

If Birch Avenue is 3.2 cm long on the map, we can use this scale to find the actual length of the street. To do this, we can multiply the length of the street on the map (3.2 cm) by the scale factor (0.5 km/cm).

3.2 cm * 0.5 km/cm = 1.6 km

So, the actual length of the Birch Avenue is 1.6 km.

Answer:

The expert answer is incorrect. Here's the correct answer.

Step-by-step explanation:

The equation of line that passed through the points (3, 6) and (8, 4) is 5y = -2x + 40.

In the given question, we have to find the equation of a line that passed through the points (3, 6) and (8, 4).

The point-slope approach is typically used when two points that sit on a specific line are specified.

A line's equation is written as y - y(1) = m(x - x(1)), where y(1) is the Y-axis coordinate, m is the slope, and x(1) is the X-axis coordinate.

Firstly we find the value of m using the formula

m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]

From the given points x(1) = 3, y(1) = 6, x(2) = 8, y(2) = 4.

Now putting the value

m = [tex]\frac{4-6}{8-3}[/tex]

Now solving

m = [tex]-\frac{2}{5}[/tex]

Now we finding the equation of line. We can use any one point in the given points.

Now taking the points (3, 6), x(1) = 3 and y(1) = 6

Now putting the value in equation y - y(1) = m(x - x(1)).

y - 6 = [tex]-\frac{2}{5}[/tex](x - 3)

Multiply by 5 on both side, we get

5(y - 6) = -2(x - 5)

Using the distribution property

5y - 30 = -2x + 10

Add 30 on both side, we get

5y = -2x + 40

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The complete question is:

What is the equation of a line that passed through the points (3, 6) and (8,  4)?

When the parallel lines are cut by a transversal, the values for the measurement of ∠5 and ∠7 is 99° each.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible.

Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.

In the given diagram the parallel lines are cut by a transversal.

The measure of angle 4 is, m∠4 = 81°.

It is known that each pair of interior angles on the same side of a transversal that cuts two parallel lines are supplementary, or they add up to 180 degrees.

So, m∠4 + m∠5 = 180°

81° + m∠5 = 180°

m∠5 = 180° - 81°

m∠5 = 99°

Now, as it can be seen in the image ∠5 and ∠7 are vertically opposite angles.

So, they will be congruent or equal to each other.

So, it is obtained that -

m∠5 = m∠7

m∠7 = 99°

Therefore, the measures of angles are m∠5 = 99° and m∠7 = 99°.

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Answer:

[tex]10x+20[/tex]

Step-by-step explanation:

[tex]10(x-2)[/tex] Using Distributive property

[tex]10x+20[/tex]

The value of f which satisfies the given equation 3f + 5 = 32 is 9. The correct option is C.

Given question is incorrect

Correct question :

Which value of f makes 3f+5=32 a true statement?

a. f=6

b. f=8

c. f=9

d. f=12

Given data :

It is required to find the value of f for which the equation 3f + 5 = 32 is satisfied.

Use simple rules of algebra to get the value of f which satisfies the given equation,

3f + 5 = 32

3f = 32 - 5

3f = 28

f = 28 / 3 = 9

Therefore, the value of f which satisfies the given equation 3f + 5 = 32 is 9 is correct option.

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The modal net incomes (in $millions) of a sample of steel fabricators will be b. $86

The goal of measures of central tendency, also known as measures of location, is to identify the data set's most "representative value." The mode, mean, and median are the three values listed here.

A data set's mode is its most frequent value. The mode of a distribution of probabilities has the highest probability. As a result, the mode can be quickly determined for a small number of observations. Any number of modes, or none at all, may exist for a given set of values. So, the value that will be sampled with the highest probability is the mode.

Note that the full question is:

The net incomes (in $ millions) of a sample of steel fabricators are: $86, $67, $86, $67, $86 and $85. What is the modal net income?

a. $85

b. $86

c. $85.5

d. $67

e. None of the above.

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Answe

Step-by-step explanation:

Answer:

∠ G = 59°

Step-by-step explanation:

angles 1 and G are a linear pair and sum to 180° , that is

∠ 1 + ∠ G = 180°

121° + ∠ G = 180° ( subtract 121° from both sides )

∠ G = 59°