What is f(-3) if f(X) =1/3x

Answer:

the equation of the line = y + x -3 -3 = 0

Step-by-step explanation:

Equation of the line is give n by the formula

y - y¹ = m

x - x¹

note: m is the gradient.

Point = (3, 3) and (-1, 7).

Gradient =m= y2 - y1 = 7 - 3 = 4 = -1

x2 - x1 -1 -3 -4

the equation of the line

y - y1 = m

x - x1

y - 3 = -1

x - 3

note: Perform cross multiplication also remember every whole number is over one.

=y - 3 = -1 (x - 3)

=y - 3 = - x + 3

y + x - 3 - 3 = 0.

The weight after 36 weeks is 80.6 kg.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, a man weighs 95 kg and starts an exercise and eating programme to lose weight.

Let the number of weeks be x.

Now, the expression is 95-0.4x

Here, x=36

95-0.4×36

= 95-14.4

= 80.6 kg

Therefore, the weight after 36 weeks is 80.6 kg.

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Answer:

There are 14 pizza rolls and 2 mini hot dogs in the combination meal.

Step-by-step explanation:

From the question, we have the following parameters

Pizza roll = 55 calories each

Mini hotdog = 70 calories each

Combination meal = 910 calories in total

Let the pizza roll be x and the mini hotdog be y

So, we have

55x + 70y = 910

x = 12 + y

Make x the subject in x = 12 + y

x = 12 + y

Substitute x = 12 + y in 55x + 70y = 910

55(12 + y) + 70y = 910

Evaluate

660 + 55y + 70y = 910

So, we have

125y = 250

This gives

y = 2

Recall that

x = 12 + y

So, we have

x = 12 + 2

x = 14

Hence, there are 14 pizza rolls and 2 mini hot dogs

A 4 polygon is a two-dimensional shape with four sides and four angles.

Polygon is a closed figure in a plane made up of straight lines or curved lines that intersect in pairs. A polygon has at least three sides and angles. The sides can be of any length and the angles can be of any measure. Polygons are classified according to the number of sides they have, such as triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), etc. Polygons are used in many fields, from mathematics to engineering.

It is a type of quadrilateral, which is a polygon with four sides. Examples of 4 polygons include squares, rectangles, rhombuses, and trapezoids. All 4 polygons have four sides of equal length, and all their interior angles add up to 360 degrees.

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The perimeter of an equilateral triangle is equal to three times the length of the side.  Perimeter = 33 cm and Area =  30.58 cm^2 (√30.58 cm^2)

Perimeter of an equilateral triangle = 3 x side  

=> 3 x 11 cm = 33 cm  

Area of an equilateral triangle = (√3/4) x (side^2)  

=> (√3/4) x (11 cm^2)  

=> (√3/4) x (121 cm^2)  

=> 30.58 cm^2  

=> √30.58 cm^2

The perimeter of an equilateral triangle is equal to three times the length of the side. Therefore, an equilateral triangle with a height of 11 cm will have a perimeter of 33 cm (3 x 11 cm). The area of an equilateral triangle can be calculated using the equation (√3/4) x (side^2). In this case, the area of the triangle is 30.58 cm^2 ((√3/4) x (11 cm^2)). This can be simplified to √30.58 cm^2 in its simplest radical form.

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Speed = 7.7miles/2.2hours = 3.5miles/hour

In physics, the average speed is defined as the ratio of distance traveled during a certain time period.

Distance/Time = Speed

If the problem stated that the two groups’ average speeds are equal,

Mark’s Group Speed Equals Sally’s Group Speed

The problem now suggests that the time is likewise equal. That means Sally’s group took t = 4.7 – 2.5 = 2.2 hours to travel the remaining 7.7 miles.

That implies that the speed is,

7.7 miles/2.2 hours = 3.5 miles/hour.

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The exponent 0 refers to the number being raised to the power of 0.

When any number, except 0, is raised to the power of 0, the result is always 1. This is known as the "zero power property" and it is true for any non-zero number a. The mathematical statement can be represented as:

a^0 = 1

For example, 2^0 = 1, 5^0 = 1 and so on. This property holds true for any base a, including real numbers, complex numbers, and even matrices.

The exponent 1 refers to the number being raised to the power of 1. When any number is raised to the power of 1, the result is always the same as the number itself. This is known as the "identity property" and it is true for any non-zero number a. The mathematical statement can be represented as:

a^1 = a

For example, 2^1 = 2, 5^1 = 5 and so on. This property holds true for any base a, including real numbers, complex numbers, and even matrices.

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The distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

The length along a line or line segment between two points on the line or line segment.

The coordinates of A are (-18, -18)

coordinates of B are (20, 0)

coordinates of C are (-12, 16)

The formula for distance is Distance=√(x₂-x₁)²+(y₂-y₁)²

Distance AB=√(20-(-18))²+(0-18)²

=√(20+18))²+(0-18)²=√38²+18²

AB=√1444+324=√1768=42.04 units

Distance BC=√(-12-20)²+(16)²

=√(-32)²+(16)²=√1024+256

=√1280

=35.77

Distance CA=√(-12-(-18))²+(16+18)²

=√(6)²+(34)²

=√36+1156=34.5

Hence, the distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

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The linear combination method will be used to resolve a system of three equations in three variables.

Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal." The slope-intercept form, standard form, and point-slope form are the three primary formats for linear equations. A mathematical expression known as an equation has an equals sign. Many equations contain algebra. When you don't know the exact number to compute in math, algebra is used.

given

The linear combination method will be used to resolve a system of three equations in three variables.

This time, we will consider two equations at a time, eliminate one variable using the resulting equations in two variables, then solve for the third variable. with respect to this instance.

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The number of different combinations to pay 10p with British coins is given as follows:

6.

The British coins are defined as follows:

Hence the different combinations to pay 10p with British coins are given as follows:

Which means that the number of combinations is of six, and the six combinations are the ones listed by the bullet points, above.

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Lisa's book has 10,600 pages.

Multiplication is an operation that represents repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication is the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number.

Tim's book has 50 pages, if Lisa's book has 212 times as many pages, therefore;

Lisa's book has 212 x 50 pages

Lisa's book has 10,600 pages.

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Answer: 3

If you look at the left-most side on figure A, youll notice that it is 2 units long. On figure B, it is 6 units long. 2*x=6 where X is the scale factor. You'll find that X=3. YW BRO

ans is 90 and 30

Step-by-step explanation:

LN=90° (right angle)

MN=30°(DO THE MATH)

The value of the equation on x = 2 is 0.5

Given Quadratic equation,

[tex]= \frac{11}{12} x - \frac{5}{6}( x - \frac{2}{5})[/tex]

Put the value of x = 2 in the above equation and we get

[tex]= \frac{11}{12} *2 - \frac{5}{6}( 2 - \frac{2}{5})[/tex]

[tex]= \frac{11}{6} - \frac{5}{6} * \frac{8}{5}[/tex]

[tex]= \frac{11}{6} - \frac{4}{3}[/tex]

[tex]= \frac{1}{2}[/tex]

= 0.5

Therefore, the value of the equation on x = 2 is 0.5

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You want to build a structure with a length of 5 m, where the proportions of other dimensions are conserved. Estimate the scale factor, 10 cm / 5 m = 0.02 .

The scale factor is a number that represents the ratio of the measurements of two similar figures, such as geometric shapes or maps. To find the scale factor, you can compare corresponding side lengths or angles of the two figures. The scale factor is the ratio of the length of a side in one figure to the corresponding side in the other figure. You can also find the scale factor by taking the square root of the ratio of the areas or the ratio of the volumes of the two similar figures.

Once you have the scale factor, you can use it to find the missing measurements of a similar figure by multiplying any measurement of one figure by the scale factor. In summary, the scale factor is a numerical value that allows to relate the measurements of two similar figures.

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The four ways to find the midpoint of a line segment are using the Midpoint Formula, using the Distance Formula, using a Graph, and using a Ruler.

Using the Midpoint Formula:

This method involves using the midpoint formula, which is (x1 + x2)/2, (y1 + y2)/2. This formula gives the coordinates of the midpoint when the coordinates of the two endpoints of the line segment are known.

Using the Distance Formula:

This method involves using the distance formula to find the distance between the two endpoints of the line segment and then dividing the distance by 2. The midpoint will be located at the point that is half the distance from each endpoint.

Using a Graph:

This method involves plotting the two endpoints of the line segment on a graph and then drawing a line segment connecting the two points. The midpoint of the line segment will be located at the point where the line segment is bisected.

Using a Ruler:

This method involves measuring the distance between the two endpoints of the line segment with a ruler or measuring tape, and then marking the point that is halfway between the two endpoints. The midpoint of the line segment will be located at the point that is marked.

All of these methods can be used to find the midpoint of a line segment, it depends on what information is given and what tools are available.

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Although part of your question is missing, you might be referring to the question :

Given that 2x+3y / 3x+4y = 5, find the ratio of y:x

Given : 2x+3y / 3x+4y =5

To find : y : x

Solution :

(2x+3y) / (3x+4y) = 5, or

2x + 3y = 15x + 20y, or

-15x + 2x = 20y - 3y, or

-13x = 17y

Therefore, x/y = -17/13

Hence, y/x = -13/17

y : x = -13 : 17.

The answer is -13 : 17.

The compound inequality says that x+1 is greater than 3 and less than 6.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than the relation between variables and the numbers.

Given that the compound inequality is 6 > x + 1 > 3. The compound inequallity says that the value of x +1 is greater than 3 and is less than 6.

The inequality can be written as,

6 > x + 1 > 3

x + 1 > 3

x +1 < 6

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The positive exponent for the given expression is 1/5.

A positive exponent tells us how many times to multiply a base number, and a negate

ve exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.

The given exponent is [tex]25^{-\frac{1}{2}[/tex].

Now, [tex]25^{-\frac{1}{2} }=(5^2)^{-\frac{1}{2}[/tex]

= 5⁻¹

= 1/5

Therefore, the positive exponent for the given expression is 1/5.

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Answer:

Marshall saves 1/4 of his money and spends 1/4 of his money on fun. Therefore, he saves and spends 1/4 + 1/4 = 1/2 or 50% of his money on those two categories.

Step-by-step explanation:

The total cost of the fencing as a function of the length of the x side is 11x

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the total cost:

Total cost = (southern + east + west) * side

Total cost = (5 + 3 + 3)*x

Total cost = 11x

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In part A; The graph of inequality y > 2x - 9 shows the dashed line.

And, In part B; The graph of inequality y - 6 ≤ x shown the solid line.

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality are,

Part A: y > 2x − 9

Part b; y − 6 ≤ x

Now,

In part A; The inequality '<' used which represent the dashed line

And, In part B; The inequality ≤ used which represent the solid line.

Hence, The graph of inequality y > 2x - 9 shows the dashed line.

And, The graph of inequality y - 6 ≤ x shown the solid line.

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Answer:

P(2)= 1/6

P(odd)= 1/2

P(factor)= 2/3

Answer:

7

Step-by-step explanation:

7

Answer:

29 is the correct answer

Euclid is the father of geometry

Euclid and René Descartes was often called the father of modern mathematics because he created analytic geometry and the Cartesian coordinate system.

What is modern mathematics?

Different methodologies have been used in contemporary mathematics. It focuses mostly on entities, whereby interconnections follow themes and patterns.

René Descartes was a person who was very famous for his philosophy of science and mathematics. He was considered a person who evaluate and made various new development in the field of math as well as time in separate fields like geometry and algebra with new properties that is developed by him.

He had the main idea of having finite and infinite particles or numbers in geometry. And also used various scientific methods to prove that.

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A line can be represented in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

Given that m = −72 and the y-intercept is 12, we can represent the line as y = −72x + 12

We are also given that the point (x, 5) lies on the line. So we can substitute the x and y values of the point into the equation of the line to find the value of x.

y = −72x + 12

5 = −72x + 12

-7 = -72x

x = 7/72

So the value of x is 7/72.

We can also get this by solving the equation of the line for x.

y = -72x + 12

y - 12 = -72x

(y - 12)/-72 = x

x = (y - 12)/-72

So for any point (x, y) on the line, the value of x can be obtained by substituting y and the slope-intercept form equation.

Answer: To get another turn, Sydney's score must be greater than 1. Therefore, to find the lowest number that Sydney can roll to get another turn, we need to find the smallest number that, when multiplied by the fraction on the card, will give a result greater than 1.

It's not mentioned which fraction card Sydney drew, so we can assume any fraction.

Let's assume the fraction card is labeled 1/4.

To get another turn, Sydney's score must be greater than 1. Therefore, we need to find the smallest number that, when multiplied by 1/4, will give a result greater than 1.

1/4 * x >1

x > 4

so the smallest number that Sydney can roll to get another turn is 5.

It should be noted that this is assuming that the fraction card is labeled 1/4 , if the fraction card is labeled with any other fraction the answer would be different.

Step-by-step explanation:

Answer:

I think the answer is A

1,2

Answer:

[tex] \frac{23}{3} ....in \: fraction \: or \\ 7.666666...in \: decimal[/tex]

Step-by-step explanation:

Greetings!!!

look at the image attached

Hope it helps!!!