Determine the intercepts of the line.
Do not round your answers.
3x+2y=5

The value of x and y is solved in the equation  7x + y = 17 and -9x - y = -21 to get

The problem is a simultaneous equation of two unknowns with two equations.

The equations are formed as follows

7x + y = 17

-9x - y = -21

adding the equations will result to

-2x + 0 = -4

x = 2

substitute x = 2 into 7x + y = 17

7x + y = 17

7 * 2 + y = 17

14 + y = 17

isolating y

y = 17 - 14

y = 3

therefore x = 2 and y = 3

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The correct sentence to describe in the parent function is,

⇒ Shifted up.

⇒ Horizontal stretch

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The function is,

⇒ f (x) = x

Here, The graph of the parent function of f (x) = x is shown in figure.

Hence, We get;

The correct sentence to describe in the parent function is,

⇒ Shifted up.

⇒ Horizontal stretch

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Answer:

10/32

Step-by-step explanation:

10+8+14 = all dishes = 32

10 = how many plates

In a ratio: 10/32

Answer: In a right triangle, the length of the hypotenuse is the square root of the sum of the squares of the other two legs. So, using the Pythagorean theorem, the other leg would be the square root of (21^2 - 15^2) = (441 - 225) = 216 = 14.69 inches.

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

slope is rise over run:

3/2

Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line.

Define slope -intercept form?

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The graph for the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2) is plotted as below.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y=|x+4|.

Graph the absolute value using the vertex and a few selected points.

Plot the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2)

Therefore, the graph for the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2) is plotted as below.

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A possible inequality to represent the amount Payton spent is x >15, and two examples of the possible amount of money Payton spent are $30 and $6.

This is a mathematical expression that represents a situation using symbols such as ≥ (greater or equal to) or < (less than).

A possible inequality is  15 >x or 15 <x, which means the amount of money spent was less than or more than 15.

Some possible values within this range are:

$10

$2

$6

$30

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The required values of x in the interval 0° ≤ x ≤ 360° are 146.1° and 326.1°, when the value of tan x is given.

The interval of angle is given as 0° ≤ x ≤ 360°.

The value of x for which tan x is given as, tan x = - 0. 6745.

We have tan negative in two of the four axes, they are second (90° - 180°) and fourth quadrants (270° - 360°).

So, tan x = - 0. 6745

x = tan⁻¹ (- 0. 6745) = -33.9

As periodicity of tan x is 180°, x = 180-33.9 = 146.1°

x = 360-33.9 = 326.1°

Thus, the required values of x in the interval 0° ≤ x ≤ 360° are 146.1° and 326.1°, when the value of tan x is given.

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The factorization of -25-15mn is -5(5+3mn)

Factorising is the reverse process of expanding brackets. To factorise an expression fully, means to put it in brackets by taking out the highest common factors. The simplest way of factorising is: Find the highest common factor of each of the terms in the expression.

For example 5( 3x+ 2y+ 4z) can be expanded into 15x + 10y + 20z and moreover 15x + 10y + 20z can be transformed by finding the factors between each terms, here the factor is 5; 5( 3x + 2y +4z)

Similarly to factorize -25-15mn we find the factor that is common to -25 and - 15 . The common factor is -5.

therefore factorizing -25-15mn we bring -5 out of -25 and -5

= -5( 5+3mn)

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The coordinates of point A after a reflection over the y-axis are given as follows:

A(3,-9).

The original coordinates of A are given as follows:

A(-3,-9).

The rule for a reflection over the y-axis is given as follows:

(x,y) -> (-x,y).

Meaning that the x-coordinate has the signal exchanged while the y-coordinate remain constant, hence the coordinates of point A after a reflection over the y-axis are given as follows:

A(3,-9).

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Negative bases are not often used in logarithms because they produce complex results. For example, if the base is negative and the exponent is positive, the result will be a complex number.

Logarithms are generally used to solve equations or simplify complex problems. Having a negative base would complicate this process, as it would introduce complex numbers or even imaginary numbers into the equation. Consequently, it is not feasible to use negative bases with logarithms. Furthermore, if both the base and the exponent are negative, the result is undefined. This means that it is not possible to evaluate the expression. Therefore, for these reasons, it is usually not practical to use negative bases when working with logarithms.

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The seller ought to bring more medium-sized shirts because these are the best-selling size.

From the graph we can see that total small shirt sold = 160

Total number of sale of small shirt = 225

Now remaining shirts = Total small shirt sold/Total number of sale

Now remaining shirts = 160/225 × 100

Now remaining shirts = 71

Total medium shirt sold = 335

Total number of sale of medium shirt = 375

Now remaining shirts = Total shirt sold/Total number of sale

Now remaining shirts = 335/375 × 100

Now remaining shirts = 89

Total large shirt sold = 275

Total number of sale of large shirt = 325

Now remaining shirts = Total shirt sold/Total number of sale

Now remaining shirts = 275/325 × 100

Now remaining shirts = 85

Total X-large shirt sold = 125

Total number of sale of X-large shirt = 175

Now remaining shirts = Total shirt sold/Total number of sale

Now remaining shirts = 125/175 × 100

Now remaining shirts = 71

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The complete question is given below:

Andrew intends to make a second batch of Sauce 1 and Sauce II with 3,180 green peppers and 5,560 hot chili peppers.

You've tried poblanos and like the heat they provide to homemade salsa, but you're ready to branch out. The good news is that there are more than 4,000 different varieties of chili peppers in the world, and more are constantly being created.

Andrew prepares hot salts. his first batch will have 4 chili peppers and 6 green peppers, while his second batch will contain 3 green peppers and 10 chili peppers. We therefore need to know how many of each he requires.

To give you an idea of how many peppers to use per bottle of hot sauce, we suggest using at least two really hot peppers per bottle for a sauce with a lot of heat. In addition, habaneros can be made with 4-6 peppers.

Therefore, 975 green peppers and 1,250 hot peppers are purchased by Andrew. He uses all of those peppers to make both types of sauce.

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The solution of the system is x = 5 and y = 40.

A simultaneous equation is anyone or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is a simultaneous equation.

Given:

system of equations,

8x=x+35    {equation 1}

y=8x          {equation 2}

From equation 1,

8x = x+35

7x = 35

x = 5

Substituting the value of x to the equation 2,

And y  = 8(5)

y = 40

Therefore, the solution is x = 5 and y = 40.

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The solution is Option A.

The inequalities have one common solution

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equations be represented as A and B

The value of A is

( 1/2 )x + 8 ≤ 10   be equation (1)

-3x - 24 ≤ - 36   be equation (2)

On simplifying the equation (1) , we get

Subtracting 8 on both sides of the equation , we get

( 1/2 )x ≤ 2

Multiply by 2 on both sides of the equation , we get

x ≤ 4

And , on simplifying the equation (2) , we get

Adding 24 on both sides of the equation , we get

-3x ≤ -12

Multiply by -1 on both sides of the equation , we get

3x ≥ 12

Divide by 3 on both sides of the equation , we get

x ≥ 4

So , the common solution to the inequalities is x = 4

Hence , the inequalities have solution at x = 4

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Answer:

it is There are 4 cups of water for each cup of sugar

Step-by-step explanation:

Answer: -3 AND 7

Step-by-step explanation: very important to include the and, as it that point could be to the right or left of (3,1)

Answer:

I think 5

Step-by-step explanation:

There are two possible options for points and distances:

In this problem we need to determine the location of point M and distances between points A, M and B. This can be done by means of differences on number line and algebraic equations:

M - A = x² - x

M - (- 14) = x² - x

M + 14 = x² - x

M = x² - x - 14

B - M = 5 · x + 4

35 - M = 5 · x + 4

M = 31 - 5 · x

Then, we eliminate M and find the solutions to the resulting quadratic equation:

x² - x - 14 = 31 - 5 · x

x² + 4 · x - 45 = 0

(x + 9) · (x - 5) = 0

x = - 9 or x = 5

Finally, we determine the possible values for M based on the fact that M is between - 14 and 35:

x = - 9

M = 31 - 5 · x

M = 31 - 5 · (- 9)

M = 31 - 45

M = - 14

AM = - 14 - 14

AM = 0

MB = 35 - (- 14)

MB = 49

x = 5

M = 31 - 5 · x

M = 31 - 5 · 5

M = 31 - 25

M = 6

AM = 6 - (- 14)

AM = 20

MB = 35 - 6

MB = 29

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Answer: $250

Step-by-step explanation:

If Jake still owes $185 and only just paid back $65, you need to add 185 and 65 together to get the total amount that he borrowed.

The given statement using variables, quantifiers and symbols only ∀x ∈ p, ∃y ∈ p, t(x,y).

Predicate variables are quantified using quantifiers. It contains a formula, a type of statement whose veracity depends on the values of various parameters.

A predicate turns into a proposition when we give it a definite value. Another way to put it is that the predicate will turn into a proposition if it is quantified.

Therefore, the phrase "quantify" refers to quantifiers like "all" or "some."

The two basic categories of quantifiers are existential and universal quantifiers.

Additionally, it demonstrates whether the predicate is true or false for all conceivable values or for specific value(s) inside the realm of discourse.

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Only variables, quantifiers, and symbols are used in the following statement: ∀x ∈ p, ∃y ∈ p, t(x,y).

Only variables, quantifiers, and symbols are used in the supplied statement.

Quantifiers are used to quantify predicate variables. It includes a formula, which is a sort of assertion whose truth is determined by the values of several factors.

When we assign a definite value to a predicate, it becomes a proposition. Another way to say it is that if the predicate is quantified, it becomes a proposition.

As a result, the term "quantify" refers to quantifiers such as "all" or "some."

Existential and universal quantifiers are the two primary types of quantifiers.

It also shows whether the predicate is true or false for all possible values or for specified value(s) inside the scope of discourse.

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The system of equations for the stuffed animals should the company manufacture to maximize profit P in dollars is P = 20x + 30y

The term equation in math is called as an expression or a statement that comprises two algebraic expressions with the same value and are separated by an equal symbol in between them.

Here we know that we have to determine the number of each of three types of souvenirs to be made.

Here let us consider that x, y, and z denote the respective numbers of type-A, type-B, and type-C souvenirs to be made.

Here we know that the total amount of time that machine I is used is given by 2x + y + z minutes and must equal 180 minutes.

Here the known details will leads to the equation

=> 2x + y + z = 180

While we take the similar considerations on the use of machines II and III lead to the following equations which is written as

=> x + 3y+2z = 300

=> 2x + y + 2z = 240

Here we have also identified the the stuffed animals should the company manufacture to maximize profit P in dollars as,

=>  P = 20x+30y

Here we know that the subject to the constraints plush stuffing trim x ≥ 0 y ≥ 0.

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The angles in the quadrilateral are as follows:

g = 116 degrees

h = 64 degrees

A quadrilateral is a polygon with 4 sides. The sum of angles in a quadrilateral is 360 degrees.

Therefore, let's find the angles g and h in the quadrilateral. According to the diagram, the quadrilateral has opposite side parallel to each other.

Therefore, the diagram can be regarded as a parallelogram.

Hence, adjacent angles of the diagram are supplementary.

Supplementary angles add up to 180 degrees.

Therefore,

116 + h = 180

h = 180 - 116

h = 64 degrees.

Therefore,

64 + g  = 180

g = 180 - 64

g = 116 degrees.

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Data collected at the same, or approximately the same point in time are  Cross- sectional data

In statistics and econometrics, cross-sectional data, or a cross section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.

For instance, if we wanted to determine the prevalence of obesity in a population, we could randomly select a sample of 1,000 people (also referred to as a cross section of that population), measure their height and weight, and then determine what proportion of that sample falls under the definition of obesity. With the use of this cross-sectional sample, we are able to get a current picture of that group. Be aware that based on a single cross-sectional sample, we cannot determine whether the prevalence of obesity is rising or falling; we can only describe the current proportion.

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Answer:

b = 13

Step-by-step explanation:

21 = b + 8   Subtract 8 from both sides

21 - 8 = b + 8 - 8

13 = b

Answer: 13

Step-by-step explanation:

He bought two books for $21, and one of the books was $8. With this, we know that if we subtract 8 from 21, we can get "b", or the cost of the other book

21 = b + 8

-8        -8

13 = b

b = 13

Therefore, b = 13, or $13 for the other obok

Answer:

A: first choice

x^4

Step-by-step explanation:

When you divide two powers with the same base, you subtract the exponents, not divide.

The step x^8/x^4 is correct.

The next step should be x^(8 - 4), not x^8/4.

The correct simplification is x^4.

Answer:

A: first choice

x^4

Percent of the total amount a per the given list price, documentation fee , registration fee and other payment paid by Charles is given by :

Option c. 16.70%

Cost of his old 2004 Dodge Neon = $6591

Sales tax = 6.88%

Dealer gives 80% trade in price on hos car

After tax selling price of the car

= 6,591 × (80/100) × [ 1 - (6.88/100) ]

= $4910.03

= $4,910

Vehicle registration amount = $1,089

List price of car = $21,450

Documentation fee = $124

Total cost of the car

= $21,450 + $1,089 + $124

= $22,663

Net amount Charles needs to pay

= $22,663 - $4,910

= $17,753

Monthly payment at the rate of 12.28% compounded monthly for 3 years

= 17753 [ 12.28%( 1+ 12.28%)^3 / [( 1+ 12.28%)^3 -1 ]

= $592

Total amount paid by Charles

= $592 × 36

= $21,312

Total interest paid by Charles

= $21,312 - $17,753

= $3,559

Percent of the total amount

= ( $3,559 / $21,312 ) × 100

= 16.699%

= 16.70%

Therefore, the percent of the total amount paid by Charles is equal to Option c. 16.70%.

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The solution of the system of equation using elimination method is x = -2, y = -4

The elimination method is a method used to solve systems of linear equations. It involves manipulating the equations in such a way that one of the variables is eliminated, resulting in an equation in one variable that can be easily solved.

-2y = 2 - 3x --- (1)

-5y = 10 - 5x ---(2)

To eliminate y, multiply (1) by -5 and multiply (2) by -2. Then subtract the result. That is:

-5 × (-2y = 2 - 3x)   =>  10y = -10 + 15x

-2 ×(-5y = 10 - 5x)    => 10y = -20 + 10x

.......................................................................

                                      0 = 10 +5x

.........................................................................

0 = 10 +5x

5x = -10

x = -10/5

x = -2

put x = -2 in (1):

-2y = 2 - 3x

-2y = 2 -3(-2)

-2y = 2 + 6

-2y = 8

y = -8/2

y = -4

Thus, x = -2, y = -4

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