4х2 - 3x + 2,
How many terms are there

The domain of a relation or function are the input values. In this image the domain is represented by the begining of the arrows (the values on the x column).

What is a one one function?

In Maths, an injective function or injection or one-one function is a function that comprises individuality that never maps discrete elements of its domain to the equivalent element of its codomain. We can say, every element of the codomain is the image of only one element of its domain.

The range are the output values. In this case they are the ends of the arrows (the values on the y column

• Domain: {5, 10, 15, 20}

• Range: {-3, -1, 1, 3}

• Description: ,this is an injective function, because it is a one to one relation

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Answer:c

Step-by-step explanation:

c

Answer:

Step-by-step explanation: 7 x + 9 = 23. 7x+9=23. Subtract 9 from both sides. Subtract 9 from both sides.

7x=23-9. 7x=23−9. Subtract 9 from 23 to get 14. Subtract 9 from 23 to get 14.

7x=14. 7x=14. Divide both sides by 7. Divide both sides by 7.

x=\frac{14}{7} x=714​ Divide 14 by 7 to get 2. Divide 14 by 7 to get 2.

The nearest whole number to which the new height of the image is enlarged is 9cm.

What is meant by height?

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12) The new height is 9cm it was originally 4cm wide and 3cm tall, scale factor is 3.

14) The new width is 12cm it was originally 2cm tall  and 4cm wide, scale factor is 3.

In mathematics, a scale factor is the proportion between corresponding measurements of an object and a representation of that object. The copy will be bigger if the scale factor is a whole number. A fraction scale factor means that the copy will be smaller.

To increase an object by a scale factor, measure each side of the object and multiply the result by the scale factor. A 2x2 cm square is presented to you.

Increase the square by a scale factor of 2.

To do this, multiply each side by 2.

The result is a 4x4cm square.

12) scale factor = 12/4

scale factor = 3

14) scale factor = 6/2

scale factor = 3

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The 5 coordinate systems are Cartesian Coordinate System, Polar Coordinate System, Cylindrical Coordinate System, Spherical Coordinate System, Elliptic Coordinate System.

1. Cartesian Coordinate System: This system uses two perpendicular axes (X and Y) to determine the location of a point. The point's coordinates are the distances from the origin point (0, 0). The axes divide the plane into four quadrants and the coordinates can be positive or negative. The axes are also referred to as the x-axis and y-axis.

2. Polar Coordinate System: This system uses an angle and a distance from a fixed origin point to specify a point. The angle is measured in radians and the distance is measured from the origin. The coordinates of the point are usually written as (r, θ).

3. Cylindrical Coordinate System: This system combines the two-dimensional polar system and the one-dimensional Cartesian system. It uses three coordinates, (r, θ, z) to determine a point's location in three-dimensional space. The r coordinate is the distance from the origin, θ is the angle measured from the z-axis, and z is the height.

4. Spherical Coordinate System: This system uses three coordinates, (r, θ, φ), to determine a point's location in three-dimensional space. The r coordinate is the distance from the origin, θ is the angle measured from the z-axis, and φ is the angle measured from the x-axis.

5. Elliptic Coordinate System: This system uses two coordinates, (a, b), to specify a point on an ellipse. The a coordinate is the distance from one of the ellipse's foci, and the b coordinate is the distance from the other. This system is useful for describing orbits, such as those of planets.

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Answer:

46.28

Step-by-step explanation:

i did pemdas

The equation that models the situation is 33 / 4 = h + 13 / 4.

Jamal measured the height of a flower growing in his garden at the beginning of the month. The flower was 3 1 / 4 inches tall . The flower grew h inches during the month.

At the end of the month it was 4 1 / 8 inches tall.

Hence, the equation to model the situation can be represented as follows:

Let's convert the mixed fractions to improper fractions.

3 1 / 4  inches = 13 / 4 inches

4 1 / 8 inches = 33 / 4 inches

Hence, the equation is as follows:

33 / 4 = h + 13 / 4

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It costs $4 for 2 visits, $8 for 4 visits, $10 for 5 visits, and $16 for 8 visits.

2 visits: c = 2v = 2(2) = $4,

4 visits: c = 2v = 2(4) = $8,

5 visits: c = 2v = 2(5) = $10,

8 visits: c = 2v = 2(8) = $16.

2 visits: c = $30, cost per visit = $15

4 visits: c = $60, cost per visit = $15

5 visits: c = $75, cost per visit = $15

8 visits: c = $120, cost per visit = $15

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No, 6 is not considered as a prime number, it is a composite number.

As given in the question,

Given number is equal to :

6

Prime numbers are those numbers which has only two factors one and the number itself.

Example of prime numbers are :

2, 3, 5, 7, 11, 13,... so on.

Here six has more than two factors .

Factors of 6 are equal to :

1, 2, 3, 6

There are four factors of six.

When a number has more than two factors then it is considered as composite number.

Example of composite factors are :

4, 6, 8, 9, 10, ... so on.

6 is a composite number.

Therefore, 6 is not a prime number it is a composite number.

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a. The simple interest for 4 years would be $960.

b. The amount at the end of the 4 years would be $2160.$

A man deposited $1200 in his bank account. A simple interest of 20% per annum was paid on his deposit.

a. For calculating simple interest for the 4 years

We have been given data as:

Principal (P) = $1200

Rate of Interest (R) = 20%

Time (T) = 4 years

⇒ Simple interest  = P × R × T

Substitute the value of P, R, and T in the above formula,

The simple interest for 4 years would be:

⇒ 1200 x 20% x 4 = 960

b. For calculating the amount at the end of the 4 years

The amount at the end of the 4 years would be:

1200 + 960 = 2160

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Using the equation we know that the required value of x is (B) 30 cm.

Basically, an equation is when you have two expressions with the same value on either side of an "equal to" sign.

For example, 3x + 5 = 15.

There are lots of different types of equations, like linear, quadratic, and cubic, among others.

So, looking at the diagram, the equation is true.

x/75 = 12/30

Solve as follows:

30x = 12 * 75

30x = 900

30x/30 = 900/30

x = 30

Therefore, using the equation we know that the required value of x is (B) 30 cm.

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Correct question:

What is the value of x?

(A) X= 4.8 cm

(B) X= 30 cm

(C) X= 93 cm

(D) X= 187.5 cm

Answer:

Triangle: 15 cm

Rectangle: w = 2.5 cm

Step-by-step explanation:

Rectangle: A = w · l

2.5 · 6 = 15cm

Triangle: A = hᵇb/2 = 6 · 5/2 = 15 cm

I hope this helps!

Answer:

the answer is in the images

A reflective pronoun is a pronoun  formed with -self or -selves that refers to the subject. Hence, option B is correct.

When a pronoun is used to refer to the same noun as both the subject and the object of a verb, it is known as a reflexive pronoun. The pronouns that in English finish in "self" or "selves" are things like "himself," "myself," "ourselves," etc.

Words like myself, you, him, her, it, ourselves, ourselves, and yourselves are examples of reflexive pronouns. They make a reference to someone or something. When the subject and the object of a verb are the same, reflexive pronouns are frequently used. I cut myself yesterday night while preparing dinner.

Thus, option B is correct.

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Answer:

y = -4/1x + 28

Step-by-step explanation:

y=Mx +b

slope (m): -4/1

Y intercept (b): 28

They spoke of a bicycle that is 1-foot long. the revolutions the tire will make when it is ridden one mile is 1681.52 revolutions.

Generally, The circumference of a tire is equal to the diameter times pi

C = d * pi.

Since the spoke of the bicycle is 1 foot long, the diameter of the tire is also 1 foot.

Therefore, the circumference of the tire is 1 * pi = approximately 3.14 feet.

To find out how many revolutions the tire will make when it is ridden one mile, you need to divide the distance traveled (1 mile) by the circumference of the tire.

One mile is equal to 5280 feet, so to find out how many times the tire will revolve, you would divide

5280/ 3.14

=1681.52 revolutions.

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Answer:

-------------------------------------

Solve the following equation:

The value of x is given as follows:

x = 13.7.

The value of x is obtained using similar triangles, which share these two following features:

The proportional side lengths are given as follows:

Hence the proportional relationship of these lengths is given as follows:

x/16 = 6/7.

Meaning that the value of x is obtained as follows:

7x = 16 x 6

x = 16 x 6/7

x = 13.7.

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Complete transformations and then enter the final coordinates of the figure will be: A(2,2) B(1,-2) C (4,-4)

If a point (x, y) is translated by 4 units horizontally right and 1 unit upwards, coordinates of the image point will be,

(x, y) → (x + 4. y + 1)

Therefore, vertices of the image triangle ABC will be,

A(2, 2) → A'(2+4, 2+1)

         → A'(6, 3)

B(5, -1) → B'(5+4, -1+1)

         → B'(9, 0)

C(1, -2) → C'(1+4, -2+1)

Then reflected across y-axis.

Rule for the reflection across y-axis will be,

(x, y) → (-x, y)

A'(6, 3) → A"(-6, 3)

B'(9, 0) → B"(-9, 0)

C'(5, -1) → C"(-5, -1)           → C'(5, -1)

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The required two-column proof that the triangles are congruent is explained below.

A triangle is a three sided plane shape whose the sum of internal angles is 180^o. Thus two or more triangles are said to be congruent when their corresponding sides and measure of internal angles are equal.

When two triangles are congruent, it can be proven in all respect that they are thus equal (considering their corresponding length of sides and measure of internal angles).

The two column proof required in the question is given below:

        STATEMENT                                     JUSTIFICATION

1. <WXZ ≅ <YXZ                                  Property of an angle bisector.

2. <XZW  ≅ <XZY                                Definition of a perpendicular bisector.

3. WX ≅ YX                                          Congruent sides of a triangle.

4. WZ ≅ YZ                                           Definition of a midpoint.

Therefore,

ΔWXZ ≅  ΔYXZ                                    Angle-Angle-Side theorem

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The Function given as [tex]y=3^{x}[/tex] is an Exponential function and the base is 3 and the exponent in the function is x .

What are Exponential function ?

The exponential Functions are defined as a function written as [tex]f (x) = a^{x}[/tex], where the "variable x" is called exponent and the "number a" is a constant called the base of the function and base should be greater than 0.

the given function is [tex]y=3^{x}[/tex] ,

So , according to the definition of Exponential Function ,

we can see that the base of the function is 3 and is greater than 0 ,

the exponent is x .

Therefore , the function [tex]y=3^{x}[/tex] is an Exponential Function .

The given question is incomplete , the complete question is

Is [tex]y=3^{x}[/tex] an exponential function ?

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Marco practiced 1.13 hours more on Tuesday than on Monday.

In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. The numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. 

Given that,

Marco practiced for only 7/10 hours on Monday (less than the expected  [tex]1\frac{1}{4}[/tex]hours)

He practiced for [tex]1\frac{5}{6}[/tex] hours on Tuesdays.

He is supposed to practice [tex]1\frac{1}{4}[/tex] hours each day.

Finding the difference between the hours he practiced each day:

[tex]1\frac{5}{6} - 7/10 = 11/6-7/10= (110-42)/60 = 68/60 = 1.13 hours[/tex]

Thus,  Marco practiced 1.13 hours more on Tuesday than on Monday.

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Answer:

Photo 1:

             Question 4:

                   If the angles are the same (two 45° and one 90°) the vertical  side is equal to side C. the Pythagorean theorem states that A²+B²=C².

if Side C is equivalent to 4, both sides of the right angle are 4 (Because they are equivalent to each other.) so 4²+4²= 4 x [tex]\sqrt{2}[/tex] (5.8) so D=5.8, C=4

D is roughly 1.45 C

Step-by-step explanation:

Answer:

My idea is to look all at the left side of the graph, and whatever number without the decimal is lowest, label first, and do the same for the right side, for instance, if the lowest is 161, then label from lowest to highest across the x-axis, if it is something like 7 as the lowest on the right side of the graph, lowest to highest up the y-axis

Step-by-step explanation:

if we plug in different values for the input, we get corresponding values of output. There is always a pattern in the way input values x and the output values y are related which is given by the function rule.

What are the Slope and intercepts ?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction of function

The slope expresses how quickly the dependent variable changes when the independent variable changes. The Greek capital letter D or D is frequently used by mathematicians and economics to represent change. Slope contrasts the change in the vertical axis, y, with the change in the horizontal axis, x.

On the x-axis, negative numbers are below the origin, and on the y-axis, they are to the left of the origin. If the x-value is negative, begin at the origin and go to the left; if the y-coordinate is negative, move downward.

Line graphs, also known as XY graphs, are used to visually represent data (the outcomes of an experiment) in order to demonstrate the link between various factors, such as the severity of the disease and time.

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Answer:

-11/12

Step-by-step explanation:

As a result, according to Pythagoras' Theorem, the third side, or hypotenuse, has a value of 8 units, whereas the other two sides are 6 and 7.

The Pythagorean Theorem, often known as the Pythagorean Theorem, is the fundamental Euclidean geometry relationship between the three sides of a right triangle. The area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the right angle equals the sum of the squares that span its sides. It is sometimes written as the generic algebraic notation a2 + b2 = c2.

given

x2 = a2 + b2

x2 = 6*6 + 28

x2 = 36 + 28

x2 = 64

x = 8

As a result, according to Pythagoras' Theorem, the third side, or hypotenuse, has a value of 8 units, whereas the other two sides are 6 and 7.

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The six types of algebraic expressions are:

Monomial: An expression with only one term, such as 5x or 2[tex]y^3[/tex].

Binomial: An expression with two terms, such as 3x + 4y or 7a - 5b.

Trinomial: An expression with three terms, such as 2[tex]x^2[/tex] + 4x - 6 or 5[tex]a^2[/tex] + 3ab - 2[tex]b^2[/tex].

Polynomial: An expression with more than one term, such as 2[tex]x^3[/tex] + 4[tex]x^2[/tex] - 6x + 8 or 5[tex]a^4[/tex] - 3[tex]a^2[/tex]b + 2[tex]b^3[/tex].

Rational expression: An expression that is the ratio of two polynomials, such as (2x+3)/(x-4) or (5[tex]a^2[/tex]-3b)/(a-2b).

Radical expression: An expression that contains a square root, cube root, or any other root of a number or a variable, such as √x or 3√(2y+5)

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It's the last one

Because its one fourth of the original ones minus the original giving you the answers -3, 4.5, -1.5, 1.5, 3, -1.5, 3 and 3 again.