a girl bought 3 sachets of detergent for 120 .for how much would she buy 20 sachers​

Answer:

left 4(B)

Step-by-step explanation:

When the number is (x+4) or (×-4)

The plus one moves left.

The minus one moves right.

The volume of the rectangular box is equivalent to → V = x³ - 2x² - 8x.

Given is that the width is of the rectangular box is two feet shorter than its height while the length is two feet longer than its height.

We can assume the height {H} of the box be {x} feet's. Then its width will be -

{H} = {x} feet's

{W} = {x - 4} feet's

{L} = {x + 2} feet's

Then, we can write the volume as -

V = L x B x H

V = {x}{x + 2}{x - 4}

V = {x² + 2x}{x - 4}

V = x²{x - 4} + 2x{x - 4}

V = x³ - 4x² + 2x² - 8x

V = x³ - 2x² - 8x

Therefore, the volume of the rectangular box is equivalent to -

V = x³ - 2x² - 8x.

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The number whose three times the reciprocal of a positive number equals 9 times the reciprocal of 6 is 2.

Let the positive number be x. The three times reciprocal of the positive number will be 1/x × 3. The reciprocal of 6 will be 1/6.

Equating the values that represent Left Hand Side and Right Hand Side of the equation -

3×1/x = 9×1/6

Performing multiplication on both sides of the equation

3/x = 9/6

Rewriting the equation according to x

x = 3×6/9

Performing multiplication and division on Right Hand Side of the equation

x = 2

Thus, the number is 2.

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0.4225 is the value of log 7 ÷ 2

Given,

We have to find the value of log 7 ÷ 2

Here,

Logarithm;

The power to which a number must be raised in order to obtain other values is referred to as a logarithm. To put it another way, it provides the response to the query, "How many times is a number multiplied to get the other number?" The expression for a number's logarithm is. x = logb y.

Then,

Log 7 ÷ 2

The log value of 7 is 0.8450

So,

0.8450 ÷ 2 = 0.4225

That is,

The value of log 7 ÷ 2 is 0.4225

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The solution set of the inequality g < 5 is all the values of g that are less than 5.

What exactly is a math graph?

The term "graph" has at least two separate meanings in mathematics. The word "graph" in elementary mathematics refers to a plot or a function graph. In mathematical terms, a graph is a collection of points and the relationships between a subset of those points (which may be empty).

To graph this solution set, we use a number line, and place an open dot at 5 to indicate that 5 is not included in the solution set. Then, we shade the portion of the number line to the left of 5, which represents all the values of g that are less than 5. The graph of the solution set would look like this:

(shaded area represents all the values of g that satisfy the inequality)

|-----5----- |

Note: The value 5 is not included in the solution set as the inequality is strict inequality.

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The dilation center is at C. The scale factor is 5/12. The value of x is 5/2.

What is dilation?

Meaning of Dilation in Math. Dilation is a transformation that allows you to resize an object. Dilation is a technique for making objects larger or smaller. This transformation yields an image that is identical to the original shape. However, there is a size difference in the shape.

Given that the length of the original rectangle is 12. The length of the new rectangle is 5.

The scale factor is the ratio of the dimension of the new rectangle to the dimension of the original rectangle = 5:12 = 5/12

The width of the new rectangle is the product of the original width by the scale factor = 5/12 × 6 = 5/2

The value of x is 5/2.

The vertex of the triangles is at C.

The dilation center is at C.

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Raisins cost 0. 97. Per pound Michael for $15. 25 worth of raisins, Michael thus purchased 16 pounds of raisins.

cost of raisins = 0.97

worth of raisins per pound = $15. 25

15.25 ÷ 0.97 = 16

therefore, Michael purchased 16 ponds of raisins.

'What are raisins?'

The dried grapes known as raisins are actually grapes that have been dried in the sun or in a food dehydrator. They are the shriveled yellow, brown, or purple morsels.

Raisins are frequently used in salad dressings, oatmeal, yogurt, granola, and cereal.

You might have also eaten them after baking them into scrumptious muffins, breads, and cookies. Even though they are little, raisins are incredibly energizing and full of fiber, vitamins, and minerals.

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The evaluation of the straight line graph of the taxi cost for the daytime taxi, are as follows;

1. The point at which the line crosses the x-axis is (0, 250)

2. The y-intercept is; c = 250

3. The distance traveled at the y-intercept is 0

4. The y-intercept represents the initial fee for the taxi

The equation of a straight line graph in the slope-internet format is;  y = m·x + c.

The graph in the question obtained from the graph in a similar question posted online, is a straight line graph

The equation of the graph is therefore of the form; y = m·x + c

Where;

m = The slope of the graph

c = The y-intercept

The points on the possible graph of the question are;

(0, 250), (0.8, 400)

The y-intercept of the graph is therefore;

(0, 250), c = 250

The slope of the graph is therefore;

(400 - 250)/(0.8 - 0) = 187.5

The equation of the graph is therefore;

y = 187.5·x + 250

1. The point the graph crosses the y-axis is the point at which the x-value is 0. Therefore, the point the graph crosses the y-axis is the point (0, 250).

2. The y-intercept of the graph, c, is the point the graph intersects the y-axis, which is the point x = 0

3. The graph of the Cost to Distance Traveled indicates that distance traveled, x at the y-intercept, where, x = 0 is 0 miles

4. The y-intercept represents the initial fee for the daytime taxi

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Five examples of polynomial are 3x, 5x + y, 2, 7x² - 3, and 8x⁵ - 2x³ + 2.

A polynomial is a mathematical expression that involves a sum of powers in one or more variables. The general form of a polynomial in one variable x is a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x + a_0, where n is a non-negative integer and the coefficients a_0, a_1, ..., a_n are real or complex numbers.

Here are five more examples of polynomials in one variable x:

x^4 + 2x^3 - 5x^2 + 3x - 2

x^5 - 4x^4 + 3x^2 - 2x + 1

3x^6 + x^5 - 2x^4 - 5x^3 + 7x^2 + x - 6

5x^3 - x^2 - 2x + 4

2x^7 - 3x^5 + 4x^3 - x^2 + 6x - 7

It's worth noting that polynomials can also have multiple variables, like for example a polynomial in two variables x and y.

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The answer choice which correctly represents the value of cos B as required is; Choice B; Cosine B = StartFraction 40 Over 41 EndFraction.

It follows from the task content that the ratio which represents cos B is to be identified among the given answer choices.

Recall from trigonometric ratios that the cosine of an angle is the ratio of its opposite and hypothenuse.

Hence, it can be inferred that;

cos B = 80 / 82

cos B = 40 / 41.

Ultimately, the cosine of angle B following from trigonometric ratios as requested is; cos B = 40 / 41.

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The 45 45 90 triangle theorem states that 45 45 90 special right triangles have sides of which the lengths are in a special ratio of 1 : 1 : 2 and two 45° angles and one right angle of 90°.

When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle. It is the most frequently encountered angle in our daily lives. It can be noticed in room corners, box edges, mobile phone screens, and so on.

A square's and a rectangle's sides always make a right angle with each other. It is represented in radians as /2.

The angle formed by two lines that are perpendicular to each other is called a right angle. A right angle is equal to 90° and is in the shape of the letter "L". In the following figure, ray AB and BC form a right angle ABC.

Thus, The 45 45 90 triangle theorem states that 45 45 90 special right triangles have sides of which the lengths are in a special ratio of 1 : 1 : 2 and two 45° angles and one right angle of 90°.

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The methods used in factoring are Greatest Common Factor (GCF), Grouping Method, Using Identities, Factor Theorem, and Polynomial with Four Terms.

Greatest Common Factor (GCF): To factorise, We have to find out the greatest common factor, of the given polynomial.

a(b + c) = ab + ac

But in the matter of factorisation, it is just an inverse process;

ab + ac = a(b + c)

where p is the greatest common factor.

Grouping Method: This method is also stated to be factoring by pairs. In this method, the given polynomial is distributed in pairs to find the zeros. 

Factoring Using Identities: The factorisation can be accomplished also by using algebraic identities. The most typical identities used in terms of the factorisation are:

(α + β)² = α² + 2αβ + β²

(α – β)² = α² – 2αβ + β²

α² – β² = (α + β)(α – β)

Factor Theorem: For a polynomial g(x) of a degree greater than or equal to 1,

x - b is a factor of g(x), if g(b) = 0

If g(b) = 0, then x - b is a factor of g(x)

Where ‘b’ is a real number.

Factoring Polynomial with Four Terms:

For example, x³ + x² – x – 1 is the polynomial. 

Split the given polynomial into two parts.

(x³ + x²) + ( –x – 1)

We can see, from the first part, x² is the greatest common factor and from the second part, we can take out the minus sign. Thus,

x²(x + 1) - 1(x + 1)

Again, regrouping the terms as the factors.

(x² - 1) (x + 1)Therefore, the factorisation of x³+ x² – x – 1 gives (x² -1) (x+1).

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Answer:

The multiplicative inverse of -11/7 is "A. -7/11".

Step-by-step explanation:

The multiplicative inverse of a fraction is found by flipping the numerator and denominator. So, if a fraction a/b has a multiplicative inverse, then it must be true that:

a/b * (b/a) = 1

In this case, we want to find the multiplicative inverse of -11/7:

-11/7 * x = 1

So, we flip the numerator and denominator of -11/7 to find x:

x = -7/11

Therefore, the multiplicative inverse of -11/7 is -7/11, which is option A.

Answer: You would go 3 to the left because it is a negative sign. Then you would go 1 up because it is positive.

Step-by-step explanation: You´re welcome

Check the picture below.

Therefore the correct options are ,6 with multiplicity 2 ,-2 with multiplicity 2

The equation (x-6)²(x+2)² can be factored by using the difference of squares factorization. This factorization states that for any two binomials a-b and a+b, their product can be written as (a-b)(a+b)= a²-b². In this case, we have (x-6)² and (x+2)², which can be factored as (x-6)² = (x-6)(x-6) = (x-6)², and (x+2)² = (x+2)(x+2) = (x+2)².

So, the equation (x-6)²(x+2)² can be factorized as (x-6)²(x+2)² = (x-6)² * (x+2).

The roots of the equation are the values of x that make the equation equal to zero. To find the roots of the equation, we set each of the factors to zero and solve for x.

(x-6)² = 0, x = 6 , 6

(x+2)² = 0, x = -2 ,-2

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Complete question:

Find the root(s) of f (x) = (x- 6)2(x + 2)2.

-6 with multiplicity 1

-6 with multiplicity 2

6 with multiplicity 1

6 with multiplicity 2

-2 with multiplicity 1

-2 with multiplicity 2

2 with multiplicity 1

2 with multiplicity 2

The compound inequality represents the inequality ly - 31 - 4 ≤-3

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If f(x) = x³ - 2x² - 5x + 6 then the factored form is (x - 1)(x + 2) and (x - 3).

A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to find factors.

Given, f(x) = x³ - 2x² - 5x + 6

We have to find the complete factored form of f(x).

Consider (x - 1) as a factor of f(x).

Let us check (x - 1) is a factor of f(x)

f(1) = (1)³ - 2(1)2 - 5(1) + 6

simplifying the above equation, we get

= 1 - 2 - 5 + 6

= 6 - 6

= 0

f(1) = 0

Therefore, (x - 1) is a factor of f(x) = x³ - 2x² - 5x + 6.

Now, find the factor of x2 - x - 6

x² - x - 6 = 0

simplifying the above equation, we get

x² - 3x + 2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x + 2)(x - 3) = 0

Therefore, the factored form is (x - 1)(x + 2) and (x - 3).

The complete question is:

What is the factor of  f(x) = x³ - 2x² - 5x + 6?

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An absolute value equation is an equation that contains an absolute value expression. To solve an absolute value equation, you need to consider two cases: when the argument inside the absolute value is positive and when it is negative.

Here is an example of how to solve an absolute value equation:

|x - 3| = 5

To solve this equation, we need to consider two cases: x - 3 = 5 and x - 3 = -5.

Case 1: x - 3 = 5

In this case, we can add 3 to both sides of the equation to get x = 8.

Case 2: x - 3 = -5

In this case, we can add 3 to both sides of the equation to get x = -2.

So, the solutions to the equation are x = 8 and x = -2.

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Answer:

Line Plot

Step-by-step explanation:

Logic)

It will show the progress of the athlete's sleep in accordance to each other, making it easier to make conclusions based on evidence.

Answer:

Step-by-step explanation:

x = 4y - 3

2x +3y = 16

First, plug the equation x = 4y - 3 into the second equation so it looks like this:

2 (4y - 3) + 3y = 16    Now we only have one variable to solve for.

8y - 6 + 3y = 16    Simplify like variables

11y - 6 = 16     try to get y by itself

11y = 16 + 6

11y = 22     divide both sides by 11

y = 2

Now you can put Y back into the first equation

x = 4y - 3

x = 4(2) - 3

x = 8 - 3

x = 5

so the answer is x = 5 and y = 2

The coordinates of the centre of the circle after dilating with scale factor 2 will be (0,0).

What is scalar factor?

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The sum of a number and negative three multiplied by the number is not linear.

A series of numbers called a "linear number pattern" have constant term differences. Here are a few examples: Every phrase has a 2 difference between them. These figures are additionally known as linear numbers.

A number is then represented as x, and the total is added.

sum of a number and -3 multiplied by that number

(x+-3) (or (x-3)x

distribute

a(b+c)=ab+ac

x(x-3)=x^2-3x

if the degree (power) of the placeholder equals 1 and x2 2 is not equal to 1, the placeholder is linear else it is second degree and NOT linear.

IS NOT LINEAR

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x= -17

y=5

——-

I had this question on a quiz and got it right

The function [tex]$\mathbf{y}=\mathbf{0 .} 5^{\mathbf{x}-\mathbf{5}}+\mathbf{8}$[/tex] shifts the parent function 5 units right, and 8 units up.

The simplest function that nonetheless meets the criteria for a certain type of function is referred to as a parent function.

Families can be created by categorizing and arranging functions. A parent function is a fundamental equation that applies to each of these groups. The quadratic function family serves as an illustration. They all have a second degree with the highest exponent, and this family has a parabola—a U-shaped graph—in common.

The function [tex]$y=0.5^{\mathrm{x}-5}+8$[/tex] shifts the parent function 5 units right, and 8 units up.

The parent function is given as:

[tex]$$\mathrm{y}=0.5^{\mathrm{x}}$$[/tex]

Move the function right, by 5 units

[tex]$$y=0.5^{x-5}$$[/tex]

Move the function up by 8 units

[tex]$$y=0.5^{x-5}+8$$[/tex]

Therefore,the function [tex]$\mathbf{y}=\mathbf{0 .} 5^{\mathbf{x}-\mathbf{5}}+\mathbf{8}$[/tex] shifts the parent function 5 units right, and 8 units up.

The complete question is:

Use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)x−5 + 8. You may wish to graph it and its parent function, y = 0.5x, on the same axes. The parent function y = 0.5x is across its domain because its base, b, is such that . The function, f, shifts the parent function 8 units . The function, f, shifts the parent function 5 units .

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The answer are,

x=14√2

y=9.90

z=17.15

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

from the given figure,

we get.

x=14√2

y=9.90

z=17.15

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Answer: B. 450

Step-by-step explanation:

Eugene can type 55 words per minute, so in 30 minutes he will type 55 * 30 = 1650 words.

Allen can type 80 words in 2 minutes, so in 30 minutes he will type 80 * 15 = 1200 words.

To find out how many more words Eugene will type than Allen, we subtract Allen's total from Eugene's total:

1650 - 1200 = 450 words

So, Eugene will type 450 more words than Allen in 30 minutes. Therefore the answer is B. 450

Answer:

B. 450

Step-by-step explanation:

We can find how many words each person types by multiplying how fast they type by how long they get to type (30 minutes).

Eugene:

[tex] \frac{55 \: words}{1 \: minute} \times 30 \: minutes \: = 1650 \: words[/tex]

Allen:

[tex]\frac{80 \: words}{2 \: minutes} \times 30 \: minutes \: = 1200 \: words[/tex]

we can find how many more words Eugene types using subtraction

[tex]1650 - 1200 = 450[/tex]

Eugene types 450 more words

Answer:

In the problem, we are told that Amelie completed 56 sit-ups, and this is 7 times the number of sit-ups that Kiki completed.

We can use this information to create an equation that models the problem.

Let k represent the number of sit-ups Kiki completed.

One equation that models this problem is:

k = 56/7

Another equation that models this problem is:

56 = 7k

Both equations represent the same information, the first one is solved for k, and the second one is solved for the number of sit-ups Amelie completed.

So either k = 56/7 or 56 = 7k is the equation that models the problem.

Answer:

k=8

Step-by-step explanation:

If Amelie completed 56 sit-ups and its 7 times more you would divide

y=kx

k=56 divided by 7

k=8

k is the constant of proportionality

The distance between the two given points (5, 5) and (1 ,5) on a coordinate plane is equal to 4 units.

As given in the question,

Let the coordinates of the two given points in the coordinate plane are represented by:

 (x₁ , y₁) = (5, 5)

(x₂ , y₂ ) = (1 ,5)

Distance between two points  = √ ( x₂ - x₁)² + ( y₂ - y₁)²

Substitute the value we get,

Required Distance

= √ ( 1 - 5 )² + ( 5 - 5 )²

= √ ( -4 )² + ( 0 )²

= √ 16

= 4 units as distance is always positive.

Therefore, the distance between the given points on a coordinate plane is equal to 4 units.

The above question is incomplete , the complete question is :

What is the distance between points (5, 5) and (1 ,5) on a coordinate plane?

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Answer: z = 133

Step-by-step explanation:  From the question

126 + z = 259

Make z the subject

z = 259 - 126

z = 133

The k is not constant, so the table data does not display a proportional relationship.

What is the proportional relationship?

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

Here, we have

Given:

x    y

4    1

5    64.125

6    216

10   1,000

A proportional relationship defines that two or more quantities vary directly with one another.

y is proportional to x if  y=kx  for all values of y and x, and k is the constant of proportionality.

for the first value on the tale

k = 1/4  =0.25

for second value

k = 64.125/5 = 12.825

Hence, the k is not constant, so the table data does not display a proportional relationship.

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