A school has a toy drive for a holiday in which students bring in toys to be donated to charity. the number of toys donated by juniors and seniors are summarized in the histograms

The polynomials that match with other equivalent expressions are :(a) → (iii), (b) → (ii), (c) → (iv), (d) → (i)

Consider the polynomials,

(a) 4x² + 18x                                (i) 2x(2x + 1)

(b) 4x² + 2x + 18x +9                   (ii) (2x + 1)(2x +9)

(c) (2x + 3)(2x + 3)                       (iii) 2x(2x + 9)    

(d) 4x² + 2x                                   (iv) 4x² + 12x + 9

Now,

Consider the polynomial 2x(2x + 1),

2x(2x + 1) = 2x(2x) + 2x(1)

2x(2x + 1) = 4x² + 2

Therefore, (d) is equal to (i).

Consider the polynomial 2x(2x + 9),

2x(2x + 9) = 2x(2x) + 2x(9)

2x(2x + 9) = 4x² + 18x

Therefore, (a) is equal to (iii).

Consider the polynomial (2x + 1)(2x +9) ,

(2x + 1)(2x +9)  = (2x)(2x) + (2x)(9) + (2x)(1) + 9

(2x + 1)(2x +9) = 4x² + 18x + 2x + 9

Therefore, (b) is equal to (ii).

Consider the polynomial (2x + 3)(2x + 3),

(2x + 3)(2x + 3) = (2x)(2x) + (2x)(3) + (3)(2x) + 9

(2x + 3)(2x + 3) = 4x² + 12x + 9

Therefore, (c) is equal to (iv).

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When a new spending tax of 25% is placed on electrical items, the price of a product that costs £100 before the tax is imposed is reduced to $25.

In economics, a percentage is a percentage or ratio that is specified as a fraction of 100. Occasionally, this same acronyms "percentage points.," "%," and "pm" are also used. But it is broadly classified into the following by the percent sign, "%." The % sum has no dimensions. Rates are effectively fractions when the sum is 100. Use the percent sign (%) to indicate that a number seems to be a fraction by placing it next to it. So instance, you score a 75% if you properly answer 75 out from 100 respondents on a test (75/100). Divide the money by the total as well as multiply it by 100 to calculate percentages. The formula used to calculate the percentage is (value/total) x 100%.

given

All prices must be reduced by a certain amount in order to return to their pre-tax levels.

percentage = £100 / 100 * 25%

= 25

When a new spending tax of 25% is placed on electrical items, the price of a product that costs £100 before the tax is imposed is reduced to $25.

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Answer: its either 6, 8, 2 or 8, 2. I don't know its one of these. bc ill show u how I got these.

Step-by-step explanation:

this could be:

plus,

times,

subtract,

or divide.

The domain of the equation is equal to: B. all real numbers.

The range of the equation is equal to y ≥ -4 or {-4, ∞}.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = {-∞, ∞} or all real numbers.

Range = {-4, ∞} or {y|y ≥ -4}.

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Answer:true

Step-by-step explanation:

The value of x is 30 degrees as it is a complimentary angle. When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.

Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees.

Reflex angles are those that are larger than 180 degrees and less than 360 degrees. So 270 degrees is a reflex angle.

Since it is a right angle triangle,

hence

[tex](2x+1)+29=90\\2x+1=61\\2x=60\\x=30[/tex]

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Answer: 116322

Step-by-step explanation:

23948+92374= 116322

Let's call the sales tax rate as t (in decimal form).

The cost of a $10 sweater with the sales tax included is $10 + $10 * t = $10.90.

We can set up an equation to solve for t:

$10 * t = $0.90

Dividing both sides by $10:

t = 0.09

So the sales tax rate is 0.09, which is equivalent to 9%.

The equation expressing the relationship between the amount of sale of statin, x years after 1998, S - 1.3·x = 5.5, indicates that the amount spent on statin in 2018 is $31,500,000,000

An equation expresses the relationship of equivalence between values or variables.

The equation that gives the amount of statin in billions of dollars is presented as follows;

Where;

S = The amount of sale of statin in billions of dollars

x = The number of years after 1998

The amount people in the U.S. will/did spend on statins in 2018 is found as follows;

S  = 1.3·x + 5.5

In 2018, x = 2018 - 1998 = 20

Therefore;

S  = 1.3 × 20 + 5.5 = 31.5

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Answer:

Last choice

Step-by-step explanation:

There are two ways to solve this problem.

1. Simplify both fractions

2. Cross multiply (If a/b = c/d, then ad = bc)

Now for the answer choices:

1. 5/7 is less than one while 7/5 is greater

2. 3/12 = 1/4, which is not equal to 3/4

3. 16/20 = 4/5, while 15/25 = 3/5

4. 6/9 = 2/3, and 10/15 also equals 2/3.

Answer:

6 / 9 and 10 / 15

Step-by-step explanation:

Hope this helps :)

Answer:

Five divided by 206 is 0.02426

Answer:

41.2

Step-by-step explanation:

The inverse relationship between the two variables is indicated by a negative slope. In this case, the y value falls as the x value rises. As an alternative, we may see that the y value rises as the x value falls.

You can tell if (0,0) is on the line if it crosses the origin. It is known that a line has a slope of m=0.5 if it is perpendicular to the equation y=2x+3. This is the slope's negative reciprocal. Using the provided information, solve for y=0.5x+b to get the answer.

A graph with a negative slope and a left-to-right tilt is produced by a declining linear function.

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The fifth term of this arithmetic sequence 5, 2, –1, –4,... ..... is equal to -7.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 2 - 5

Common difference, d = -3

Substituting the given parameters into the formula, the 5th term of this arithmetic sequence is given by;

a₅ = a₁ + (5 - 1)d

a₅ = 5 + (4)(-3)

a₅ = 5 - 12

a₅ = -7.

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Answer:

c^2+4c-3

Step-by-step explanation:

(4c^2-3c^2)+(6c-2c)-3 = c^2+4c-3

The solution is Option D.

The sum of the infinite geometric progression is S = ( 64/7 )

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the sum of the geometric progression be represented as S

Now , the equation will be

S = 16 , -12 , 9 , -( 27/4 ) ...

The sum of the infinite GP is S = a / ( 1 - r ) , where r is the common ratio

Substituting the values in the equation , we get

a₁ = 16

a₂ = -12

So , the common ratio r = a₂ / a₁

The common ratio r = -3/4

Substituting the values in the equation , we get

The sum of the infinite GP is S = a / ( 1 - r )

The sum of the infinite GP is S = 16 / ( 1 - ( -3/4 ) )

The sum of the infinite GP is S = 16 / ( 1 + 3/4 )

The sum of the infinite GP is S = 16 / ( 7/4 )

The sum of the infinite GP is S = ( 16 x 4 ) / 7

The sum of the infinite GP is S = ( 64/7 )

Hence , the sum of GP is ( 64/7 )

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In the rectangle, the measure of the length is 30 meter and width is 16 meter,

.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. The length and breadth are the two dimensions that define a rectangle. The rectangle's longer side is its length, while its shorter side is its breadth.

Let the width of the rectangle is x meter, than the length of the rectangle is 2x-2.

Perimeter of rectangle = 2*(length + width)

⇒ 92 = 2*(2x-2 + x)

⇒ 92 = 2*(3x-2)

⇒ 92 = 6x - 4

add 4 in both side

⇒ 92 + 4 = 6x

⇒ 96 = 6x

divide oth side by 6

⇒ x = 96/6

⇒ x = 16

So the width of rectangle is 16 meter

The length of the rectangle = 2x-2

⇒ The length of the rectangle = 2*16-2

⇒ The length of the rectangle = 32-2

⇒ The length of the rectangle is 30

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So for question 24:

x = 47 degrees.

Triangles angles add to 180 degrees so 43 + 90 + 37 = 180.

y = 180 degrees.

A straight line is 180 degrees.

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Question 25:

x = 53 degrees.

X is similar to the angle that says 53 degrees.

y = 78 degrees.

180 - 49 - 53 - 79

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Mark me Brainliest. :D

Answer:

C

Step-by-step explanation:

The correct answer is C. Although Laura knew the creek was full of leeches, she pushed Nelly in anyway. Laura was tired of Nelly's arrogance and bragging.

The square root -6 -9 in complex number notation is √6i - 9

A complex number is a number of the form a + bi, where a and b are real numbers.

Given that, rewrite square root -6 -9 in complex number notation

We know that, the principal square root of a negative number is a positive number times i.

Therefore,

√-6 = √6i

Therefore, the mathematical notation will be

√6i - 9

Hence, the square root -6 -9 in complex number notation is √6i - 9

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Answer:

12 over 60

Step-by-step explanation:

The experimental probability of landing on a number less than 2 can be calculated by counting the number of times the outcome was 1, which is 12, and dividing it by the total number of trials, which is 60.

So, the experimental probability is 12/60 = 1/5 = 12 over 60.

Answer: 12 over 60

Step-by-step explanation:

Step 1: Count the number of times a number less than 2 was landed on.

Answer: 12

Step 2: Count the total number of times the number cube was tossed.

Answer: 60

Step 3: Divide the number of times a number less than 2 was landed on by the total number of times the number cube was tossed.

Answer: 12 over 60

Final Answer: 12 over 60

The number line would be

|---------|---------|
0        1/3      2/3

What is a number line?

A number line is a visual representation of real numbers on a straight line. It is used to graphically illustrate the relative position and size of numbers, and to perform operations like addition, subtraction, and comparison. The number line starts at a certain minimum value, and each point on the line represents a specific real number. The numbers increase as one moves to the right on the line, and decrease as one moves to the left. A number line is often used in mathematics education to help students understand basic concepts of numbers and operations.

2/3 + 2/3 = 4/6 = 2/3

|---------|---------|
0        1/3      2/3

hence, the number line would be

|---------|---------|
0        1/3      2/3

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Complete question:

Draw a number line for 2/3 + 2/3 on the given number line.

Triangle BCD and triangle BML are similar by AA similarity. Therefore, option C is the correct answer.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure, ML║CD.

Consider ΔBCD and ΔBML

Here, ∠M=∠C (Corresponding angles are equal)

∠L=∠D (Corresponding angles are equal)

By AA similarity, ΔBCD ~ ΔBML

Therefore, option C is the correct answer.

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The coordinates of point {B} would be (7,3).

Given is the point A(-3,-5) and its midpoint M(2,-1).

We can write as -

2 = (- 3 + x)/2

x - 3 = 4

x = 7

- 1 = (- 5 + y)/2

y - 5 = - 2

y = 3

Therefore, the coordinates of point {B} would be (7,3).

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The correct statement about an odd function is:

B) It has line symmetry about the line y = –x.

Here we know that the function f(x) is an odd function, then we know that:

f(x) = -f(-x)

So, if we change the sign of the argument, we also change the sign of the of the output of the function, then there will be symmetry around the line:

y = -x

Then the correct option is B;

It has line symmetry about the line y = –x.

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I need a bat a hit ball with this sport.

The word "sport" refers to Baseball game.

Baseball is a team ball game played by two teams, namely the pitcher team and the batter team. The game begins when the pitcher throws the ball to the batter who is called the batter. Baseball is almost the same as softball, but the size of the tools used and the fields are different.

Baseball is included in small ball games and is often included in sports lessons at school. In order to play proper baseball, there are several rules that need to be observed. In addition, the complete protection needs to be met so that players can avoid injury.

Baseball game was first created in Coperstown, New York in 1883 by Abner Doubleday. But the first baseball rules made in 1845 by Alexander J. Cartwright.

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Answer:

Andre's fraction of goals made to kicks taken is 4/6 or 2/3.

For Tom to make an equivalent fraction, he needs to make 4 goals out of a larger number of kicks than 6.

Two possible fractions for Tom would be 8/20 or 12/30. These both reduce to 2/5, which is equivalent to Andre's 2/3.

We can write the mathematical inequality as 3 ≤ (y - 2).

Inequality in mathematics is a relation that is used to compare two or more expressions in mathematics. For example -

(ax + b) > (cx + d)

kx < 6

Given is the inequality statement as -

"3 less than or equal to symbol y - 2"

Mathematically, we can write the inequality statement as -

3 ≤ (y - 2)

Therefore, we can write the mathematical inequality as 3 ≤ (y - 2).

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The y intercept of the line passes through the point (32, 22) and (48, 17) is 32

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The slope of the line passing through points (x₁, y₁) and (x₂, y₂) is:

m = (y₂ - y₁) / (x₂ - x₁)

The table shows that the line passes through the point (32, 22) and (48, 17). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-22=\frac{17-22}{48-32} (x-32)\\\\y=-\frac{5}{16}x+32[/tex]

The y intercept is 32

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Answer:

The y intercept of the line passes through the point (32, 22) and (48, 17) is 32

Answer:

x = 11

y = 21

Step-by-step explanation:

1. y = 2x-1

2. 6x-2y = 24

lets plug in the value of y from the first equation, into the second

6x - 2(2x-1) = 24

6x - 4x + 2 = 24

2x + 2 = 24

2x = 22

x = 11

lets plug in x to the first equation to find y

y = 2(11)-1

y = 22-1

y = 21

Answer:

x = 11

y = 21

Step-by-step explanation:

y = 2x - 1;

6x - 2y = 24

y = 2x - 1

3x - y = 12

y = 2x - 1

3x - (2x - 1) = 12

y = 2x - 1

x + 1 = 12

y = 2x - 1

x = 11

y = 2(11) - 1

x = 11

y = 21

x = 11

Answer:

  (a)  3x +y = 2

Step-by-step explanation:

You want the equation y = -3x +2 written in standard form.

The standard form of a linear equation is ...

  ax +by = c

where a, b, c are mutually prime integers with a ≥ 0. If a=0, then b > 0.

To put the given equation into that form, we can add 3x to both sides:

  3x +y = 3x -3x +2

  3x +y = 2