list 6 geometric principles represented in the picture.

If input is number of people and output is number of backpack then it is not a relation because same person can have different number of backpacks.

When the input is the number of people an the output is the number of backpacks, it is not a relation,

The reason is, Because same number of people might have a different number of backpacks.

A function is a relation in which each and every input has an output, and each and every input has a unique output.

In this situation, it is not compulsory that each person carry a backpack.

Even if each an everyone does have a backpack. It is not sure that if one person has only one backpack or not.

So, it is not a relation.

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The Average total cost per class if a studio member takes 50 classes per year will be 17.8$

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

Given that A yoga studio charges a $140 yearly fee for membership plus 15 dollars for each class.

Yearly charge = 140  $

Charge per class = 15 $

The Number of classes attended by; studio members per year = is 50

We want to find the average total cost per class for this member for a year.

The Total charge = Yearly charge + Number of classes attended x Charge per class

Total charge = 140 + 50 x 15

Total charge = 140 + 750

Total charge = 890$

Than the Average total cost per class =890/ 50

= 17.8

Therefore, the Average total cost per class, if a studio member takes 50 classes per year, will be 17.8$

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The value of x for the given equation will be -4.3×10⁻⁶.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Arithmetic operation is used to find the value of x in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that,

186+2947•4194(3.486)x

x=-186/2947•4194(3.486)

x=-4.3×10⁻⁶.

Thus, the value of x for the given equation will be 4.3×10⁻⁶.

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Answer: [tex]\Large\boxed{-\frac{1}{3} }[/tex]

Step-by-step explanation:

Given expression

[tex]-2+\dfrac{5}{3}[/tex]

Convert into fraction form

[tex]=-\dfrac{2}{1} +\dfrac{5}{3}[/tex]

Multiply 3 on both the numerator and denominator of 2

[tex]=-\dfrac{2\times 3}{1\times 3} +\dfrac{5}{3}[/tex]

[tex]=-\dfrac{6}{3} +\dfrac{5}{3}[/tex]

Add the numerator

[tex]=\dfrac{-6+5}{3}[/tex]

Simplify by addition

[tex]=\Large\boxed{-\frac{1}{3} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

[tex]\frac{1}{9}[/tex] fraction of the job is left undone.

Any number of equal parts is expressed by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, represents how many components of a suitable size there are when stated in ordinary English. fraction, A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction occurs in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. a week ago.

Given Data

A contractor completed five-ninths of a job before a second contractor completed an additional one-third.

Total work done is 1.

Contractor and second contractor completed:

= [tex]\frac{5}{9}[/tex] + [tex]\frac{1}{3}[/tex]

= [tex]\frac{5+3}{9}[/tex]

= [tex]\frac{8}{9}[/tex]

Total work done = 1

Work left undone:

= 1 - [tex]\frac{8}{9}[/tex]

= [tex]\frac{1}{9}[/tex]

[tex]\frac{1}{9}[/tex] fraction of the job is left undone.

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THE PRICE AT WHICH THW ITEM IS REDUCED BY IS 30% OF $90

[tex] \frac{30}{100} \times \frac{90}{1} \\ = \frac{3}{10} \times 90 = 27[/tex]

THE PRUCE U BEING REDICED BY $27

TO GET THE NEW PRICE OF THE ITEM WE SUBTRACT THE PRICE IT WAS REDUCED BY FROM THE ORIGINAL SELLING PRICE.

[tex] = 90 - 27 \\ = 63[/tex]

NOW THE NEW PRICE OF THE ITEM IS $63

Explanation

An image of triangle ABC can be seen below;

The largest angles are the angles with the longest sides. Therefore from largest to smallest we will have

Answer: Option A

4

Step-by-step explanation:

3×3+12x=2×2+8

9+12x=4+8

9+12x=12

12x=12-9

12x=3

Answer:

122

Step-by-step explanation:

2+30 =32

32+30=62

62+30=92

Answer:

Use the formula

Step-by-step explanation:

I hope it helps

The Slope of the line is 3/2 and the y-intercept is at (0,3)

Each solution in the two-variable scenario can be thought of as the Cartesian coordinates of a specific point on the Euclidean plane.

The graph of the line passes through (0,9) and (2,6) .

Slope of the line = (6-9)÷(2-0) = 3/2

Hence the line will have the equation:

y - 6 = 3/2 ( x - 2 )

or, 2y - 12 = 3x - 6

or, 2y - 3x = 6

Now from the real world situation at y = 0, x = - 2

and at x = 0, y = 3

Hence the y-intercept is at (0,3)

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Answer:

A : The slope is negative two thirds, and the y-intercept is 9. The candle starts at a height of 9 inches and decreases two thirds of an inch every hour.

Step-by-step explanation:

I took the quiz and it was right

Answer:

x = 10

Step-by-step explanation:

the angles shown are corresponding angles

corresponding angles are equal

12x - 4 = 10x + 16

subtract 10x from both sides

2x - 4 = 16

add 4 to both sides

2x = 20

divide both sides by 2

x = 10

Answer: 4

Step-by-step explanation:

6/? = 3/2

3 x 2 = 6

2 x 2 = 4

Therefore; 4

The ounces of food that Poe eat is 4 ounces.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

ratio of the amount of food that my cat Jade eats to the amount of food that my cat Poe eats is 3 : 2.

For some constant k,

Ounces of food Jade eat = 3k

Ounces of food Poe eat = 2k

Jade eats 6 ounces of food.

3k = 6

k = 6 / 3 = 2

Ounces of food that Poe eats = 2k = 2 × 2 = 4

Hence Poe eats 4 ounces of food if Jade eats 6 ounces of food.

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Hello there. To solve this question, we'll have to remember some properties about dividing polynomials.

Given the polynomials, we want to evaluate the division:

Rewriting it the way we perform long division:

We start with the higher degree terms, namely x^4 and x².

Dividing x^4 by x², we get x². Now we multiply every term from the division by this factor and subtract from the term being divided.

Now, we have a 2x³ as the higher degree term from the term being divided. Dividing it by x², we get 2x. Multiply each term of the divisor and subtract from it.

Finally, the highest degree term from the term being divided is x². Dividing it by x², we get 1. Multiply each term of the divisor and subtract it from the dividend.

Now, the highest degree term from the dividend is -x, when the highest degree term from the divisor is x². We cannot proceed with the long division anymore.

It means that we have a quotient:

And a remainder:

Notice if we rewrite it as:

We have the division P(x)/D(x) written in the form:

Where Q(x) and R(x) are the quotient and remainder polynomials.

Answer:

23 remainder 13

Step-by-step explanation:

18 goes into 427 23 times with a remainder of 13

Answer:

The quotient of 427 and 18, the ratio of 427 and 18, as well as the fraction of 427 and 18 all mean (almost) the same:

427 divided by 18, often written as 427/18.

The number 427 is called the numerator or dividend, and the number 18 is called the denominator or divisor.

Welcome to 427 divided by 18, our post which explains the division of four hundred and twenty-seven by eighteen to you.

Step-by-step explanation:

Perimeter Hexagon =      31.99

perimeter Hexagon = AB+BC+CD+DE+EF+FA

AB= [tex]\sqrt{58[/tex] =7.61

BC = 5

CD = 6

DE = [tex]\sqrt{29}[/tex] =5.38

EF =7

FA= 1

∴  perimeter Hexagon =      31.99

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Based on the fact that 150g of syrup are needed when making 8 flapjacks, the quantity that is needed to make 16 flapjacks is 300 g.

The quantity of oats needed to make 8 flapjacks is 150 g.

Assuming direct proportion, the quantity of oats needed to make 16 flapjacks can be found by the formula:

= (Quantity of oats needed for 8 flapjacks x Number of flapjacks to be made) / Number of flapjacks made

Solving for the quantity of oats needed gives:
= (150 x 16) / 8

= 2,400 / 8

= 2,400 x 1/8

= 300 g

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Answer:

1.5

Step-by-step explanation:

2/5 of 15/4

1 of 3/2

1 1/2

1.5

Answer:

so find dots, then count how many sections are beetween them, so you will find lenght of every side and use formula to find area(S=a²+b²).

       A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

           A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b).

     Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 10x+14y=50. When an equation is given in this format, finding both intercepts is rather simple (x and y).

     When an equation of the form an x + b = 0, where a, b Q and, it is said to have one variable and be linear. A simple equation is a linear equation with a single variable. The solution of the equation is the value of the variables that makes the equation true, i.e., makes L.H.S. equal to R.H.S.

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The triangle’s enlargement dimensions will be 52.8 cm by 80 cm.

The size by which the shape is enlarged or reduced is called as its scale factor.

Scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape.

It is used to increase or decrease the size of an object.

The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.

For example, a rectangle has a length of 5 units and a width of 2 units. Now, if we increase the size of this rectangle by a scale factor of 2, the sides will become 10 units and 4 units, respectively. Hence, we can use the scale factor to get the dimensions of the changed figures.

Given:

A triangle’s original dimensions are 24 cm by 40 cm

scale factor=2.2

Thus,

enlarged dimensions= scale factor x original dimensions

[2.2] x 24 = 52.8 cm

[2.2] x 40 = 80 cm

Hence, the triangle’s enlargement dimensions will be 52.8 cm by 80 cm.

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Solution:

Given the function below

For teh possible roots;

From the deduction above,

The possible rational roots is

Hence, all the possible zeros is

the expression (x-6)² is equivalent to



(1) x² - 36

(2) x² - 12x +36

(3) x² + 36

(4) x² + 12x +36

______________________

(x-6)²= ( x - 6) ( x - 6)= x^2 -6x - 6x + 36 = x² - 12x +36

______________________

Do you have any questions regarding the solution?

Answer: (I know this is not college work, but whatever.) [tex]y=14.95x+5.75[/tex] is the answer.

Given that a parabola has

And that the standard form of a parabola can be expressed as

We are asked to find the value of p, h and k. This can be seen below.

Explanation

Recall, If a parabola has a horizontal axis, the standard form of the equation of the parabola is this

where p≠ 0. The vertex of this parabola is at (h, k). The focus is at (h + p, k). The directrix is the line x = h - p. The axis is the line y = k. If p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.

Value of h and k

By comparison

Answer: h = 2 and k =2

Value of p

Also, by comparison

Answer : p =1.41

Writing the equation of the parabola in standard form

We can then use the given data to express the parabola in standard form as;

Answer

Using limits, the end behavior of the function f(x) = (x + 7)(x - 6)² is given as follows:

To find the end behavior of a function f(x), we have to find the limits of f(x) as x goes both to negative infinity and to positive infinity.

For this problem, the function is given as follows:

f(x) = (x + 7)(x - 6)²

As x goes to infinity, we consider only the highest exponent of the function, hence:

f(x) = x³.

Then the limits that define the end behavior of the function are given as follows:

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The x-intercepts in the graph are ( - 2, 0 ), ( 1, 0 ) and ( - 1, 0 ) and the y-intercepts of the graph is ( 0, 6). The graph of the function tends to infinity in the negative y-axis direction after intersecting the x-axis at ( 1, 0).

Consider the function,

f(x) = - 3x³ - 6x² + 3x + 6

To find the x-intercept of the function we substitute y = 0.

f(x) = y = - 3x³ - 6x² + 3x + 6

- 3x³ - 6x² + 3x + 6 = 0

3x³ + 6x² - 3x - 6 = 0

3x²( x + 2 ) - 3 ( x - 2) = 0

( x + 2 )( 3x² - 3) = 0

Therefore,

x = - 2 and;

3x² - 3 = 0

3x² = 3

x = ± 1

Hence, the x-intercepts are ( - 2, 0 ), ( 1, 0 ) and ( - 1, 0 ).

Now, the y-intercept will be when x = 0,

y = - 3x³ - 6x² + 3x + 6

y = - 3(0)³ - 6(0)² + 3(0) + 6

y = 6

Hence, the y-intercept is ( 0, 6).

The graph of the function intersects the x-axis at ( - 2, 0) and ( - 1, 0 ) and then intersects the y-axis at ( 0, 6) then after intersecting the x-axis at ( 1, 0 ) the graph tends to infinity in the negative x-axis direction.

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8x + y = -16

3x + y = -5

The first to take is to subtract the second equation from the first equation

This will eliminate the y-variable leaving you with jus x-variable

That is;

5x = -11

x = -11/5