Laat season Ria's football team scored 50 goals in 20 matches. This season they scored 60 goals in 25 matches. work out the mean number of goals per match for each season.​

The domain of the function is all the real numbers and the range is from -2 to 2.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

In the image, we can see that the value of the function varies from -2 to 2 at all the possible values of the real numbers.

Therefore, the domain of the function is all the real numbers and the range is from -2 to 2.

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The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

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The number 3.18 can be written as a rational number, specifically 318/100. In other words, 3.18 can be expressed as the rational number 318/100.

To convert a decimal number to a rational number, follow these steps:

Step 1: Write down the decimal number as the numerator of the fraction.

Step 2: Determine the denominator by using the appropriate power of 10. In this case, since 3.18 has two decimal places, the denominator is 100.

Step 3: Simplify the fraction if possible. In this case, 318/100 can be simplified by dividing both the numerator and denominator by 2:

318/100 = 159/50

Therefore, 3.18 can be expressed as the rational number 318/100.

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Answer:

\(5800 \times 9 \times 5 \div 100\)

The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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Answer:

1,065

Step-by-step explanation:

Multiply 213 by 5 to get your final answer.

The probability of observing 35 or fewer heads from 100 coin tosses assuming the coin is fair is approximately 0.13%. Assuming the coin is fair, the probability of observing a head on a single coin toss is 0.5, and the probability of observing a tail is also 0.5.

We can use the normal approximation to the binomial distribution to find the probability of observing 35 or fewer heads from 100 coin tosses. The mean of the binomial distribution is np = 100 x 0.5 = 50, and the standard deviation is the square root of np(1-p) = sqrt(100 x 0.5 x 0.5) = 5.

We can standardize the distribution by subtracting the mean and dividing by the standard deviation:

z = (35 - 50) / 5 = -3

Using a standard normal distribution table or calculator, the probability of observing a z-score of -3 or less is approximately 0.0013.

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Answer:

P = 2288 W

Step-by-step explanation:

The power, P (watts), of a car engine is proportional to the square of its speed i.e.

\(P\propto s^2\)

or

\(P=ks^2\)

Put s = 35, P = 1760 to find k.

\(k=\dfrac{P}{s^2}\\\\k=\dfrac{1760}{35^2}\\\\k=1.43\)

Now put k = 1.43 and s = 40. So,

\(P=1.43\times (40)^2\\\\P=2288\ W\)

So, the new power is 2288 W when the speed is 40 m/s.

Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D

In the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.

Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.

In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.

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Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:

3x(7-3)y2=21

Step-by-step explanation:

hope it is write

Answer:

3

Step-by-step explanation:

looking for x-intercept you need the value of y to be zero. so the accoring to the pattern x is +6 and y is +16 for each next point so when y reaches 0 x will be 3.

a) The frequency table is completed on the image given at the end of the answer.

b) The fraction of the 600 people that drink at least four cups of tea each day is given by: 9/25.

The sample size in this problem is given as follows:

600 people.

The fraction that says yes is given as follows:

9/10.

Hence the amounts are given as follows:

40% of the people who say yes drink at least 4 cups each day, hence the amounts are given as follows:

Then the fraction of the 600 people that drink at least 4 cups of tea each day is given as follows:

40% of 90% = 4/10 x 9/10 = 2/5 x 9/10 = 18/50 = 9/25.

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The name of the Platonic solid that resembles a cuboid is the hexahedron, or more commonly known as a cube.

The correct answer is option C.

The name of the Platonic solid that resembles a cuboid is the hexahedron, also known as a cube. The hexahedron is one of the five Platonic solids, which are regular, convex polyhedra with identical faces, angles, and edge lengths. The hexahedron is characterized by its six square faces, twelve edges, and eight vertices.

The term "cuboid" is often used in general geometry to describe a rectangular prism with six rectangular faces. However, in the context of Platonic solids, the specific name for the solid resembling a cuboid is the hexahedron.

The hexahedron is a highly symmetrical three-dimensional shape. All of its faces are congruent squares, and each vertex is formed by three edges meeting at right angles. The hexahedron exhibits symmetry under several transformations, including rotations and reflections.

Its regularity and symmetry make the hexahedron an important geometric shape in mathematics and design. It has numerous applications in architecture, engineering, and computer graphics. The cube, as a special case of the hexahedron, is particularly well-known and widely used in everyday life, from dice and building blocks to cubic containers and architectural structures.

Therefore, the option which is the correct is C.

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The question probable may be:

What is the name of the Platonic solid which resembles a cuboid?

A. Dodecaheron  

B. Tetrahedron

C. Hexahedron

D. Octahedron  

Answer:

Step-by-step explanation:

You got 91% of the questions right out of 175. In math words, this is saying that:

\(\frac{91}{100}*175=x\)

\(x=159.25\)

So, you got 175 - 159 = 15.75 questions wrong. The decimal could be from getting only part of a question wrong. So you got partial credit for one question

Answer: 15

Step-by-step explanation:

160/175

=0.914285714285 or 0.91

175-160

=15

...And there you go

Answer:

A'(4,-4)

B'(6,2)

C'(8,8)

Step-by-step explanation:

we have to change the sign of y in reflection on x-axis and the sign of X in reflection on y-axis

Answer:

210 sq in

Step-by-step explanation:

Box dimensions: 5 x 5 x 8

2 faces: 5 x 5 -> 2 * 5 * 5 = 50

4 faces: 5 x 8 -> 4 * 5 * 8 = 160

Total = 50 + 160 = 210 sq in

\(\mathrm{Range\:of\:}3x^2+3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:3\:\\ \:\mathrm{Interval\:Notation:}&\:[3,\:\infty \:)\end{bmatrix}\)

Function range definition:

Vertex of \(3x^{2} +3\):   Minimum: \((0,3)\)

\(\mathrm{For\:a\:parabola}\:ax^2+bx+c\:\mathrm{with\:Vertex}\:\left(x_v,\:y_v\right)\)

\(\mathrm{If}\:a < 0\:\mathrm{the\:range\:is}\:f\left(x\right)\le \:y_v\)

\(\mathrm{If}\:a > 0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v\)

\(a=3,\:\mathrm{Vertex}\:\left(x_v,\:y_v\right)=\left(0,\:3\right)\)

\(f\left(x\right)\ge \:3\)

Answer:

\([3,\infty)\)

Step-by-step explanation:

\(f(x)=3x^2+3\\\\f(x)=3(x-0)^2+3\)

\(\{y|y\geq3\}\:\text{or} [3,\infty)\)

The value of x is -10 ;

The property that justifies the first step is the commutative property of addition

Here, we want to solve the equation

We start by bringng the like terms together

In this case, we bring the x-terms together and also, bring the numbered terms together

We have this as follows;

The property that justifies the first step is the commutative property of addition. It was chosen because if we bring terms which are of the same kind together to add, the result yielded will be a term which is the same type as those which we have brought together

Option D is the correct synthetic division of (x^2-4x+7) divided by (x-2)

Synthetic division is a shorthand procedure used to divide a polynomial by a linear factor of (x - a) form, in which "a" is constant. This method gives an expedient way to locate the quotient and remainder without carrying out long division.

x - 2 | x^2 - 4x + 7

            x^2 - 2x

           ---------

                 -2x + 7

                 -2x + 4

                 -------

                        3

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Answer:as tall as u want him to be

Step-by-step explanation:

Answer:

2 inches

Step-by-step explanation:

Answer:

\( a_2 =\frac{1}{2}\\\\

a_3 =2\\\\

a_2 =\frac{1}{2}\)

Step-by-step explanation:

\(a_1 = 2......(given)\\\\

a_n =\frac{1}{a_{n-1}}\\\\

Plug\: n = 2\\

a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\

Plug\: n = 3\\

a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\

Plug\: n = 4\\

a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\\)

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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The general form of the solutions of the recurrence relation is

\(a_n = (A + B n + C n^2 + D n^3) 1^n + (E + F n + G n^2) (-2)^n + (H + I n) 3^n + (J + K n) (-4)^n,\)

We are given that;

Series=1, 1, 1, 1, -2, -2, -2, 3, 3, -4

Now,

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

If the characteristic equation has repeated roots, then the general solution is modified by multiplying each term by a polynomial in n whose degree is equal to the multiplicity of the root minus one. For example, if r is a root of multiplicity m, then the corresponding term in the general solution is

\(a_n = (A + B n + C n^2 + … + Z n^(m-1)) r^n,\)

where A, B, C, …, Z are arbitrary constants.

In this question, the characteristic equation has roots 1, 1, 1, 1, -2, -2, -2, 3, 3, -4. The root 1 has multiplicity 4, the root -2 has multiplicity 3, and the roots 3 and -4 have multiplicity 2 each.

\(a_n = (A + B n + C n^2 + D n^3) 1^n + (E + F n + G n^2) (-2)^n + (H + I n) 3^n + (J + K n) (-4)^n,\)

where A, B, C, D, E, F, G, H, I, J and K are arbitrary constants.

Therefore, by the equation answer will be \(a_n = (A + B n + C n^2 + D n^3) 1^n + (E + F n + G n^2) (-2)^n + (H + I n) 3^n + (J + K n) (-4)^n,\)

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