Solve the equation 3x + 4y = 7 for y.
y equals the quantity negative 3 times x plus 7 end quantity over 4
y equals the quantity 3 times x plus 7 end quantity over 4
y equals negative 3 over 4 times x plus 7
y equals negative 3 times x plus 7 over 4

The 3 types straight line are

1. Slope-intercept form: y = mx + b

2. Point-slope form: y - y1 = m(x - x1)

3. Standard form: ax + by = c

1. Slope-intercept form: y = mx + b - This is the most common form of a straight line; it is composed of two parts: m (the slope of the line) and b (the y-intercept). To use this form, you need to know the slope (m) of the line and the y-intercept (b). From this information, you can calculate the equation of the line by substituting the values of m and b into the equation.

2. Point-slope form: y - y1 = m(x - x1) - This form of a straight line requires two points on the line and the slope of the line. To use this form, you need to know the two points on the line (x1, y1) and the slope of the line (m). Then, you can calculate the equation of the line by substituting the values of x1, y1 and m into the equation.

3. Standard form: ax + by = c - This form of a straight line is composed of three parts: a (the coefficient of x), b (the coefficient of y) and c (the constant). To use this form, you need to know the coefficients of x and y and the constant. From this information, you can calculate the equation of the line by substituting the values of a, b and c into the equation.

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The other addend is from the arithmetic operation is 14

The act of combining two or more objects is known as an addition. The process of computing the sum of two or more integers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently utilized in daily life.

The addends are the figures that are added. Between the addends is the plus sign (+), which represents addition.

Given that:

7 + x = 21

Then;

x = 21 - 7

x = 14

Therefore, we can conclude that if one addend is 7, the other will be 14 to make a sum of 21.

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The additive inverse of -13 7/8 is +13 7/8.

The additive inverse of a number is the number that, when added to the original, equals zero. The additive inverse of -13 7/8 can be found by turning the sign of the original number into its opposite, which would be +13 7/8. This can be expressed mathematically using the formula a + (-a) = 0, where a is the original number.

When -13 7/8 is added to +13 7/8, the result is 0. This can be seen by calculation: -13 7/8 + 13 7/8 = -13 7/8 + 8/8 + 5/8 = -5/8 + 8/8 = 3/8 + 8/8 = 11/8 + 8/8 = 19/8 + 8/8 = 27/8 + 8/8 = 35/8 + 8/8 = 43/8 + 8/8 = 51/8 + 8/8 = 59/8 + 8/8 = 67/8 + 8/8 = 75/8 + 8/8 = 83/8 + 8/8 = 91/8 + 8/8 = 99/8 + 8/8 = 107/8 = 0.

Therefore, the additive inverse of -13 7/8 is +13 7/8.

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Distance is a measure of how far an object has traveled from a starting point. Displacement is the change in position from the starting point.

It is the total distance an object has moved and is the sum of all the displacements an object has made. The formula for calculating distance is distance = speed x time. For example, if a car has traveled at a speed of 50 km/h for 4 hours, then the distance traveled is 200 km (50 km/h x 4 h = 200 km).

Displacement is the change in position from the starting point. It is the shortest distance between the starting point and the final point and does not take into account the direction of motion. The formula for calculating displacement is displacement = final position – initial position. For example, if a car starts at point A and travels to point B, the displacement is the distance between A and B (B – A).

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The number 9550000 can be arranged in a total of 8!/(4!4!) = 70 different ways.

Digits are numerals or numbers used for counting, measuring, and representing quantities. They are the building blocks of mathematics, and are used to express amounts, relationships, and orders of magnitude. Digits are also used in computers and other digital devices to store and communicate information.

The 8 digits of 9550000 can be arranged using the formula for permutation: nPr = n!/(n-r)!

In this case, n = 8 and r = 8. So, the number of permutations of the 8 digits of 9550000 will be 8!/(8-8)! = 8!/(0!) = 8! = 40320.

However, we need to account for the fact that there are 4 zeros in the number 9550000. To do this, we need to divide the number of permutations by 4! (factorial of 4) to account for the 4 identical digits.

Therefore, the total number of ways the digits in the number 9550000 can be arranged is 40320/4! = 70.

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An exponential function is a function in which the variable is in the exponent. The general form of an exponential function is f(x) = ab^x, where a and b are constants.

The variable x is the exponent, meaning that it is raised to a certain power, resulting in the variable being in the exponent. In this function, the value of the function increases or decreases at a rate that is proportionate to the current value of the function.

This type of function is commonly used in modeling growth or decay in various fields such as biology, economics, and physics. The exponential function generates a sequence that is exponential in nature, the rate of change of the function is directly proportional to the value of the function.

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The product of r and s to the fourth power is written as

In math, the term exponent refers to the number of times a certain number multiplies it self.

The number that is being multiplies is referred to as the base number while the number of times it multiplies itself is the exponents

In the problem, the multiplication of r and s is done as follows

= r * s

= rs

In this case, the base number is rs and raise to the fourth power implies that rs multiplies it self four times

= rs * rs * rs * rs

= (rs)⁴

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Answer:

(rs)^4

Step-by-step explanation:

tan(x) is equivalent to 1/sin2x - cos2x/sin2x.

To determine equivalent 1/sin2x - cos2x/sin2x we use the tan(x) formula.

What is tan(x)?

tan(x) is tangent of x here, tan is trigonometric operator.

Now, evaluate the given equation

= 1/sin2x - cos2x/sin2x

use the formula of 1-cos2x and substitute in the above equation.

= (1-cos2x)/sin2x

we have the formula of sin2x=2sinxcosx and converting 1-cos2x as 2sin²x

Now, substitute in the above equation.

= (2sin²x)/2sinxcosx

By, canceling 2sinx in the numerator and denominator, we get

= sin(x)/cos(x)

= tan(x)

Thus, tan(x) is equivalent to 1/sin2x - cos2x/sin2x.

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Answer:

-4.5

Step-by-step explanation:

3 × 1.5 = 4.5

Negative times positive is negative.

-3 × 1.5 = -4.5

Answer:

---------------------------------------

Let the number of quarters be x, then the number of dimes is x - 10.

We know that quarter is $0.25 and dime is $0.10.

The total amount is $10.90.

Set up equation and solve for x:

Najee has 34 quarters and 34 - 10 = 24 dimes.

Answer:

2x0

Step-by-step explanation:

2 rounds to 2

and 0.33 rounds to 0

2x0

I understand that the answer is 0.99 which would round to 1.
But if these are the options then 2x0 is your answer.

The sequence of rigid motion to take figure ABC to DEF given below.

Triangle is a geometric figure with three sides and three angles. It is one of the basic safe in geometry. Triangles are either write, acute or obtuse depending on the size of each angle. The sum of the angles in a triangle is 180 degrees. Triangle can be classified into equity real isosceles and triangles depending on the length of the sides.

1. Rotate figure ABC 90 degrees clockwise about the origin (point O).
2. Translate figure ABC 4 units to the right.
3. Rotate figure ABC 180 degrees clockwise about point O.
4. Translate figure ABC 2 units down.
5. Rotate figure ABC 90 degrees counterclockwise about point O.
6. Translate figure ABC 3 units to the left.
7. The figure is now in the position of figure DEF.

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Answer:

The correct answer is that X < 0.

Step-by-step explanation:

Now that all the important information is covered, let's take a look at the number line.

Please let me know if this helped!!!

Answer:

219.96

Step-by-step explanation:

Do you mean the product? The term quotient is for division.

We Proven that AB is congruent to BC in the given triangle.

Two sets of points are said to be congruent if and only if one set of points can be transformed into the other by an isometry, or a combination of rigid motions like translation, rotation, and reflection.

This indicates either object might be precisely aligned with other object by moving & reflecting it, but not by resizing it. The ability to cut out and then perfectly match up two separate plane figures on a piece of paper indicates that they are congruent. I'm allowed to turn the paper over.

Given that

BD ≅ BE

DE bisects AB

DE bisect BC

If DE bisects AB it means

BD = DA

2BD = 2DA

2BD = AB

BD ≅ AB

Also DE bisect BC meaning

BE = EC

2BE= 2EC

2BE = BC

BE ≅ BC

As it already given that BD ≅ BE, we have,

⇒ AB ≅  BD ≅ BE ≅  BC

⇒ AB ≅ BC

Hence, Proven that AB is congruent to BC in the given triangle.

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The value of CE in the segment is 30 units.

The value of x in the segment is 1 units.

A line segment is bounded by two distinct points on a line. Therefore, point D is located on the segment CE. Hence,

CD = 24 and DE = x

CE = 5x

Therefore, the measurement of the segment CE can be found as follows:

CE = CD + DE

5x = 24 + x

5x - x = 24

4x = 24

divide both sides of the equation by 4

x = 24 / 4

x = 6

Finally,

CE = 5(6) = 30

The segment XZ is bisected by the point Y. Hence,

XY = 12x

XZ = 18x - 6

Hence, let's find x

Therefore,

2XY = XZ

2(12x) = 18x - 6

24x = 18x - 6

24x - 18x = -6

-6x = -6

x = -6 / -6

x = 1

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The graph shows the different combinations of loaves of bread and rolls that the baker can sell in order to reach a total revenue of $27.

What is the slope-intercept form?

The slope-intercept form is a way of expressing a linear equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is the point at which the line crosses the y-axis, meaning the point at which the line intersects the y-axis when x = 0.

The given equation is in the form of y = mx + b where y =27, m = 3 and b = 1, is a linear equation and it can be represented as a straight line in a coordinate plane.

To graph this equation, we can use the following steps:

The graph shows the different combinations of loaves of bread and rolls that the baker can sell in order to reach a total revenue of $27.

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a). The sequence as represented in question a). is not an arithmetic sequence and hence, does not have a common difference.

b). The sequence formed by recording the daily odometer reading of a car after driving 15 miles each day does not have a negative common difference.

It follows from the task content that the sequence which has a negative common difference be determined.

It follows that the common difference, by definition is the difference between successive terms a (n) of the sequence.

Therefore, common difference is usually given by; a (n) - a (n-1).

a). Since the given sequence is; 64, 32, 16, 8, ....

Since The common difference is; 32 - 64 ≠ 16 - 32 ≠ 8 - 16.

Hence, the sequence does not have a common difference and hence, is not an arithmetic sequence.

b). For a sequence involving the daily odometer reading of a car after driving 15 miles every day.

It follows that the recursive function for such a sequence would take the form; a (n) = a (n-1) + 15.

By comparison with the standard recursive function for arithmetic sequences, a (n) = a (n-1) + 15, it follows that the common difference, d = 15.

On this note, the common difference for the sequence is not a negative number.

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A function example table is a tool used to organize and present information about a specific function or set of functions.

It typically includes the following columns:

Input: This column lists the inputs or arguments that the function accepts.

Output: This column lists the outputs or return values that the function produces.

Description: This column provides a brief explanation of what the function does and how it works.

Example: This column provides one or more examples of how the function can be used, along with the corresponding inputs and outputs.

Function example tables are a useful tool for documenting and understanding code, as they provide a clear and concise summary of a function's behavior.

They can also be helpful for testing and debugging code, as they can be used to quickly check that a function is behaving as expected.

In conclusion, A function example table can be used to organize and present information about a specific function or set of functions, it typically includes the following columns: Input, Output, Description and Example.

This table is a useful tool for documenting and understanding code, as they provide a clear and concise summary of a function's behavior which can also be helpful for testing and debugging code.

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Answer:

triangle angle sum theorem

Answer:

55

Step-by-step explanation:

let 'n' equal the number

(n + 11) / 3 = 22

cross-multiply to get:

n + 11 = 66

n = 55

Answer:

Solution: Sine is a trigonometric function of an angle defined as the ratio of the length of the perpendicular(opposite) side to the hypotenuse. Thus, the value of sin 2A = √3 / 2.

The descriptions with the correct rule of transformation are given above.

Rotation 90° counterclockwise

(x, y) → (-x, y)

Reflection over the x-axis

(x, y) → (x, -y)

Translation 2 left and 2 up

(x, y) → (x - 2, y + 2)

Translation 2 right and 2 down

(x, y) → (x + 2, y - 2)

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

(x, y) is in the first quadrant.

Rotation 90° counterclockwise (x, y) will be in the II quadrant.

So,

(x, y) → (-x, y)

(x, y) is in the first quadrant.

Reflection over the x-axis (x, y) will be in the IV quadrant.

(x, y) → (x, -y)

(x, y) is in the first quadrant.

Translation 2 left and 2 up we get,

(x, y) → (x - 2, y + 2)

(x, y) is in the first quadrant.

Translation 2 right and 2 down we get,

(x, y) → (x + 2, y - 2)

Thus,

The descriptions with the correct rule of transformation are given above.

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In the given set of data, 4/5 is the constant of proportionality in the proportional relationship.

When two or more parameters are either directly or indirectly proportional to one another, the relationship is written as a = kb or a = k/b, where k denotes the direction of the relationship between the two variables. The proportionality constant, k, is defined as follows.

The ratio of two proportional values at a constant value serves as the definition of the proportionality constant. When the product or ratio of two variables yields a constant, the relationship between the two is proportional. By comparing the ratio of the two specified quantities, we can calculate the value of the proportionality constant. A direct variation or an inverse variation of this relationship are both possible.

Given

2 : 5/2

2 = (k)5/2

also

3 : 15/4

3 = (k)15/4

This gives us

k = 2 × 2/5

k = 4/5

k = 3 × 4/15

k = 4/5

Thus, In the given set of data, 4/5 is the constant of proportionality in this proportional relationship.

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Solving the provided question we can say that the  algebraic equation the value of 'y' is 19.

The difference is that expressions, which are essentially mathematical "phrases," do not contain an equal sign. Equations have an equal sign and demonstrate that two mathematical expressions are equivalent. An algebraic equation is 2x + b = 14, but 2x + b is an algebraic expression. Complete addition and subtraction from left to right after working from left to right to complete multiplication and division.

Expressions, which are essentially mathematical "phrases," are distinguished by the lack of the equal sign. Equations have an equal sign, which indicates that two mathematical expressions are equal.

3x+2y =  -4

15x +42y =  588

32y = 608

y = 608/32

y= 19

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Therefore ,the solution of the given problem of circle comes out to be as a result, the answer to the given circle problem is 6 + π cm

Each spot on a circle's plane is evenly spaced from the core and is a sealed, double object. The development of a ribbon of reflective symmetry is aided by each arc tracing the circle. Each angle also has an axis of symmetry centered on it.

Here,

The central angle of a 9 Pi sq millimeter circle is 60 degrees.

R² = 9 for the area of a circle.

Circumference = 2πR

=> = 6π cm = 2π*3 

(60/360)*6 cm is the length of an arc.

Following are the calculations for arc's perimeter: Radius + Arc Length + Radius = +3 + 3 = 6 + cm

Therefore ,the solution of the given problem of circle comes out to be as a result, the answer to the given circle problem is 6 + π cm

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When there are 25 students in the group, the number of people who not like non-fiction will be A. 15 people.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

From the information, three fifths of the students in the reading group like non-fiction books. If there are 25 students in the group, the number of people who not like non-fiction will be:

= 3/5 × 25

= 15

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