Does anyone have general Algebra 1 Quadratics tips? Anything appreciated.

Answers

Answer 1

Answer:

I got you

1. Use a calculator (its ur bestie fr fr)

2. Organization is key it might help with solving the problems

3. Ask someone or a teacher if you don’t understand

4. Remember COMBINE LIKE TERMS (ex: x+3x)

Step-by-step explanation:


Related Questions

a polling organization conducts a telephone poll of 850 registered voters and asks which candidate they will vote for in the upcoming presidential election. forty-three percent of the respondents prefer candidate a and 45% prefer candidate b. a.what is the population being studied? b.what is the sample being studied? c.based on the sample, what percentage of the population do you think would vote for candidate b?

Answers

For a polling organization that conducts a telephonic poll from 850 registered votes and ask them to whom they will vote in coming presedential election. In the context of question, population size, sample and percentage of voter preference is given below.

a. The population being studied is the population of registered voters who will vote in the upcoming presidential election.

b. The sample being studied is the group of 850 registered voters who were surveyed by telephone.

c. Based on the sample, it is estimated that 45% of the population would vote for candidate B. However, it's important to note that this is only an estimate based on a sample of registered voters, and it may not accurately reflect the views of the entire population. Additionally, since the sample size is only 850, the estimate may have a margin of error associated with it. To get a more accurate estimate of the percentage of the population that would vote for candidate B, a larger sample size or a different method of polling would be necessary.

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A sample of 100 clients of an exercise facility was selected. Let x = the number of days per week that a randomly selected client uses the exercise facility.

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The number that is 1.5 standard deviations below the mean is 1.55 (rounded to three decimal places).

To find :  The number that is 1.5 standard deviations below the mean

We need to first calculate the mean and standard deviation of the random variable X.

First, let's find the mean. The mean, also known as the expected value, is calculated as follows:

[tex]Mean = (1 * 15 + 2 * 30 + 3 * 28 + 4 * 10) / 100 = 2.8[/tex]

Next, let's find the variance, which is calculated as:

[tex]Variance = ( ( (1 - 2.8)^2 * 15) + ( (2 - 2.8)^2 * 30) + ( (3 - 2.8)^2 * 28) + ( (4 - 2.8)^2 * 10) ) / 100 = 0.72[/tex]

Finally, the standard deviation is calculated as the square root of the variance:

[tex]SD = \sqrt{0.72} = 0.85[/tex]

Now that we have the mean and standard deviation, we can calculate the number that is 1.5 standard deviations below the mean:

[tex]Number = Mean - 1.5 * SD = 2.8 - 1.5 * 0.85 = 1.55[/tex]

So, the number that is 1.5 standard deviations below the mean is 1.55 (rounded to three decimal places).

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The complete question is :

A sample of 100 clients of an exercise facility was selected. Let X = the number of days per week that a randomly selected client uses the exercise facility.

X Frequency

0 2

1 13

2 31

3 29

4 11

5 7

6 7

Find the number that is 1.5 standard deviations BELOW the mean. (I also have to round the answer to three decimal places.)

Which of the following best describes the correct interpretation of a p-value resulting from a statistical test?
A) The probability of an event occurring given that the null hypothesis is true
B) The probability of an event occurring given that the alternative hypothesis is true
C) The likelihood that you will reject the alternative hypothesis
D) The likelihood that your sample calculation captures the true population statistic

Answers

The p-value in this example would be 1 - 0.99865 = 0.00135.

A p-value is a measure of how likely it is to observe a result from a statistical test, given that the null hypothesis is true. It is calculated by taking the probability of the observed result under the assumption of the null hypothesis, then subtracting this probability from 1.

Formula:

P-value = 1 - Probability(observed result | null hypothesis)

For example, if the observed result is that the mean of a sample is 5 and the null hypothesis states that the mean is 3, the p-value is calculated by taking the probability of observing a mean of 5 or greater under the assumption that the mean is 3. This probability can be calculated from a standard normal distribution table by looking up the z-score corresponding to the mean of 5 and subtracting it from the total area under the curve (which is equal to 1).

Therefore, the p-value in this example would be 1 - 0.99865 = 0.00135.

By interpreting the p-value, we can determine the likelihood that the observed result would occur given that the null hypothesis is true. In this example, the p-value of 0.00135 indicates that it is very unlikely that the mean of the sample would be 5 or greater if the true mean is 3. Therefore, we can reject the null hypothesis and conclude that the true mean is not 3.

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discuss how discrete mathematics led to less cultural distinctions and where mathematics became more a unifying language of its own.

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Discrete mathematics has had a significant impact on reducing cultural distinctions by serving as a universal language that transcends cultural barriers. One way it has done this is by providing a common framework for communication and collaboration between mathematicians from different cultures.

Discrete mathematics is a branch of mathematics that deals with discrete objects, such as numbers, graphs, and algorithms. It provides a basis for computer science, information technology, and other fields that rely on computational methods and mathematical models.

These fields have become increasingly important in our interconnected world, and their growth has helped to reduce cultural distinctions by bringing mathematicians from different cultures together to work on common problems and develop a shared understanding of mathematical concepts and methods.

Another way discrete mathematics has reduced cultural distinction is by providing a common language for representing and solving problems in various fields, such as engineering, finance, and biology.

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Katya owns two cockatoos, an older white cockatoo and a younger Galah cockatoo. At present, the sum of the cockatoos’ ages is 44 years. In n years, where n > 0, the white cockatoo’s age will be four times the Galah cockatoo’s age. If n is an integer, determine the possible present ages of each cockatoo.

Answers

It a Katy’s iwns two cockatoos

Part A: Given the function g(x) = |x + 3|, describe the graph of the function, including the vertex, domain, and range. (5 points)

Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| − 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?

Answers

The characteristics of the absolute value functions in this problem are given as follows:

A. The graph of the function was shifted 3 units left, having vertex at (-3,0), domain all real values and range [0, ∞).=B. The graph of the function was shifted 2 units up, having vertex at (0,2), domain all real values and range [2, ∞).

What is the definition of the absolute value function?

The absolute value function is defined by the following rule:

f(x) = |x - h| + k.

For which:

The vertex is at (h,k).The domain is all real values.The range is [k, ∞).

For item a, we have that h = -3, meaning that the function was shifted 3 units left, and then:

The vertex is at (h,0), as h = -3, while there was no change to k.

The domain is all real values, as is the standard for the absolute value function.

The range is [0, ∞), as there was no vertical shift.

For item b, we have that k = 2, meaning that the function was shifted 2 units up, and then:

The vertex is at (0,2), as k = -2, while there was no change to h.

The domain is all real values, as is standard.

The range is [2, ∞), due to the vertical shift of k = 2 moving the graph 2 units up.

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If you order 12 pizzas, you will get 96 slices of pizza. How many slices are there in one
pizza?

Answers

Answer:

8 slices per pizza.

Step-by-step explanation:

To find the number of slices in one pizza, we can use division.

If you order 12 pizzas, you will get 96 slices of pizza. To find the number of slices in one pizza, we can divide the total number of slices by the number of pizzas:

96 ÷ 12 = 8

Therefore, there are 8 slices in one pizza.

Answer:

8

Step-by-step explanation:

12 pizzas have 96 slices
So one pizza must have 96/12 = 8 slices of pizza

A bookstore sells 10 books for $122.50. Which table represents the relationship
between number of books and the total price?
A
C
Books
1
11
21
Cost
$12.25
$22.25
$32.25
Books Cost
10
$122.50
20
$132.50
30
$142.50
B
D
Books Cost
10
$122.50
11
$134.75
12
$147
Books
1
2
3
Cost
$12.25
$13.25
$14.25

Answers

Answer:

D

Books Cost

10

$122.50

11

$134.75

12

$147

Step-by-step explanation:

The table format is all messed up but I was able to figure out the numbers.

Since 10 books cost $122.50, each book must cost $122.50/10 = $12.25

For 1 book => 10 x $12.25 = $122.50

For 11 books => 11 x $12.25 = $134.75

For 12 books => 12 x $12.25 = $147

Answer choice is D which perfectly fits the numbers

what is the value of b in the diagram


A - 0.8
B - 1
C - 1.8
D - 2.2

Answers

On, solving the provided question, we can say that from the provided number line, the value of b is = 1

what is number line?

A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.

from the provided number line,

the value of b = 13/8 - 5/8 =

1.625 - 0.625 = 1

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i attached the work on the screen pls help me

Answers

(0,2) and (4,0)

Explanation:

Since it only needs 2 points, use the y-intercept and x-intercept. To find those, you just have to plug in 0 for either X or Y and solve for the variable. If it sounds confusing:

To find y-intercept, plug x in as 0:
3(0)+6y=12.
And solve.
6y=12
y=2

Now, you have the y-intercept (0,2)


To find the x-intercept, plug in 0 for y:
3x+6(0)=12
And solve.
3x=12
X=4

Now, you have the x-intercept (4,0).

You have 2 points to graph now, (0,2) and (4,0).

Find the general solution of the following differential equation. primes denote derivatives with respect to x.3x^2y' +6xy = 15y^3

Answers

The general solution to the differential equation [tex]3x^2y' + 6xy = 15y^3[/tex] is

y = ±√(c/15) where c is an arbitrary constant.

To solve this differential equation, we first divide both sides by

[tex]3x^2[/tex] to obtain [tex]y' + 2x/3y = 5y^3/3x^2[/tex]

Next, we can use the substitution

[tex]v = y/x^(2/3)[/tex] to get[tex]v' = (y'x^(2/3) - 2y/3x^(1/3))/x^(2/3) = y'x^(2/3) - 2v/3[/tex]

Substituting back into the original equation gives [tex]v' + 2v/3 = 5v^3[/tex]. This is a separable differential equation and can be solved using the separation of variables. Integrating both sides,

we get [tex](v^2)/2 = -2v/3 + c[/tex] where c is an arbitrary constant. Solving for v, we get v = ±√(c/15). Finally, substituting back for y, we get

[tex]y = ±x^(2/3)√(c/15).[/tex]

Thus, the general solution to the differential equation [tex]3x^2y' + 6xy = 15y^3 is y = ±√(c/15)[/tex] where c is an arbitrary constant.

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Write an equation of the line passing through the point $a\left(6,-1\right)$ that is perpendicular to the line $y\ =\ -2x+8$.

Answers

The line equation that passing through point (6,-1) and perpendicular to y = -2x + 8 is

From the case we know that:

Point = (6, -1)

Line 1: y = -2x + 8

Line 2?

If line 1 and line 2 is perpendicular, hence the slope of both lines should fulfill this rule:

m1 x m2 = -1

(-2) x m2 = -1

m2 = 1/2

Next, we will try to find the line equation using the passed through point:

y - y1 = m (x - x1)

y - (-1) = 1/2 (x - 6)

y + 1 = 1/2 (x - 6)

y + 1 = 1/2 x - 3

y = 1/2 x - 4

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Line F has a slope of -5/3. Line G is parallel to line F, what is the slope of line G?

Answers

Answer:

The slope of line G is also -5/3, since parallel lines have the same slope.

line g has a slope of -5/3 bc parallel lines have the same slope

hope this helps you

amelia’s bank account earns interest annually. the equation shows her starting balance of $200 and her balance at the end of four years, $220.82. at what rate, r, did amelia earn interest?

Answers

Answer: $50

Step-by-step explanation:

Why do scientists think it is helpful to the periodical cicadas to emerge every 13 to 17 years?

Answers

Scientists believe that it is helpful for the periodical cicadas to emerge every 13 to 17 years because this allows them to synchronize their population cycles with those of their predators.

How to determine the GCF?By emerging in large numbers, the cicadas can overwhelm their predators, resulting in higher survival rates.Scientists believe that it is beneficial for periodical cicadas to emerge every 13 to 17 years because this allows them to avoid the most dangerous predators.This is known as the “predator satiation hypothesis” and is expressed mathematically as “S=P/P+N”, where S is the probability of survival, P is the number of predators and N is the number of cicadas.By emerging every 13 to 17 years, periodical cicadas are able to survive in large numbers and increase their chances of survival.The GCF of numbers is the greatest common factors between the numbers

The GCF of the years is 1

The intervals are given as: 13 years and 17 years

Factor both intervals (i.e. 13 and 17)

13 = 1 * 13

17 = 1 * 17

The common factor between both products is 1

So, we have:

GCF = 1

Hence, the GCF of the years is 1

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(3-6 arithmetic sequences as linear functions)
1. -4, -2, 0, 2, ...
2. 1/2, 5/8, 3/4, 13/16

Answers

1.  -4, -2, 0, 2... is an arithmetic sequences with a common difference of 2.

2.1/2, 5/8, 3/4, 13/16... is not an arithmetic sequences.

What is mean by arithmetic sequence?

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.

We use the common difference to go from one term to another.

Take the current term and add the common difference to get to the next term, and so on. That is how the terms in the sequence are generated.

If the common difference between consecutive terms is positive, we say that the sequence is increasing.On the other hand, when the difference is negative we say that the sequence is decreasing.

The given sequence can only be an arithmetic sequences if they have same common difference

1.

2-0 = 2

0 - (-2) = 2

-2 -(-4) = 2

Thus, the given sequence is an arithmetic sequences with a common difference of 2.

2.

13/16-3/4 = 1/16

3/4 -5/8  = 1/8

5/8 - 1/2 = 1/8

Thus, the given sequence is not an arithmetic sequences.

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Complete question:

Arithmetic Sequences as Linear Functions.

Determine whether each sequence is an arithmetic sequence. Write yes or no.

1. -4, -2, 0, 2, ...

2. 1/2, 5/8, 3/4, 13/16 ...

Can someone PLEASE help? I will give brainliest if possible and lots of points. Show work

Click on the image to see questions

Answers

Answer:

Step-by-step explanation:

Part A: Vertical angles are angles that are opposite each other and are formed by two intersecting lines. They are congruent, meaning they have the same measure, and are supplementary, meaning they add up to 180 degrees.

Part B: We are given that m∠1 = (2x — 5)° and m∠3 = (1/3x + 60)°. Since vertical angles are congruent, we can set the two equations equal to each other:

(2x — 5)° = (1/3x + 60)°

Solving for x, we get:

2x — 5 = 1/3x + 60

5/3x = 65

x = 39

So, m∠1 = (2x — 5)° = (2 * 39 — 5)° = 77°.

Part C: We are given that m∠2 = (5y + 7)° and m∠4 = (7y — 33)°. Since vertical angles are congruent, we can set the two equations equal to each other:

(5y + 7)° = (7y — 33)°

Solving for y, we get:

5y + 7 = 7y - 33

-2y = -40

y = 20

So, m∠2 = (5y + 7)° = (5 * 20 + 7)° = 107°.

find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3 5 x2, y = 8 5 − x2; about the x-axis

Answers

4071.5 is the volume v of the solid .

How is volume measured?

The 3-dimensional space that is occupied by matter or surrounded by a surface is measured in volume, which is expressed in cubic units.

                            A derived measure called the cubic meter (m3) serves as the SI unit of volume.

Limits of intgration: 18 - x2 = x2;  2x2 = 9; x = ±3;

V = π∫-33[(18 - x2)2 - (x2)2]dx

       = 2π∫03(324 - 36x2)dx

      = 2π(324x - 12x3)03

        = 1296π

        = 4071.5

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Find the general solution of the following differential equation. Primes denote derivatives with respect to x. 2x?y' + 6xy = 14y3 = The general solution is

Answers

Answer:

Hence the solution to the differential equation is Step-by-step explanation:

What ordered pairs are the solutions of the system of equations shown in the graph below?
NEED HELP ASAP

Answers

Answer:

(-4, -8) and (0, -5)

Step-by-step explanation:

For a point to be a solution, both equations on a graph must intercept. In other words, if they cross at the same point, then they are a solution.

From what I see in the screenshot, it looks like the parabola and line at points (-4, -8) and (0, -5). Therefore, they should be the two solutions in the system of equations.

Hope this helps.

15. What is the length of the diagonal for the given rectangular prism to the nearest whole unit?
0 10 cm
011 cm
06 cm
O13 cm
Length = 8 cm
Width =3 cm
Height = 7 cm

Answers

c = 11.05 ≈ 11 cm. When the diagonal length for the rectangular prism is given is to the nearest whole unit, the correct answer is B.

what is length ?

A quantity known as length has the ability to calculate approximate distance between two areas. In addition to height the breadth, it creates an object's length. Children will learn about length in math lessons to help them solve practical challenges both inside and outside of the classroom. the length or width that is possible to measured; a thing's greatest or longest dimension. 10 feet in length. Table of Metric units, Metric System Table: The length characteristic. The quantity or measurement between two points is the definition of length. In other words, a geometric arrangement or object's largest two or highest three dimensions.

given

Start by calculating the length of the base's diagonal using the Pythagorean theorem:

a² + b² = c²

Fill in the equation with the length and width:

8² + 3² = c²

64 + 9 = c²

73 = c²

c ≈ 8.54 cm

Using our estimated diagonals for the base and the height, we can now determine the prism's diagonal's length. Apply the same formula:

(8.54)² + 7² = c²

73 + 49 = c²

122 = c²

√122 = c

c = 11.05 ≈ 11 cm. When the diagonal length for the rectangular prism is given is to the nearest whole unit, the correct answer is B.

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Let the United States population be approximately 325 million people.

The average monthly disability benefit (cash received) per person on Disability is $1000.

The number of EMPLOYED Americans is 163. 229 million.

Each month, a person on Disability on average receives a check of $1000.

How much is this per week, assuming there are 4 weeks per month? Enter a number only

Answers

If monthly disability is $1000, the amount of disability per week is $250.

Based on the provided information in the question, the average monthly disability benefit (cash received) per person is $1000. The weekly benefit can be determined using division operation. The weekly benefit will be the average monthly disability benefit divided by number of weeks per month. Assuming that there are 4 weeks per month, the weekly benefit is:

Weekly monthly disability benefit = Monthly benefit/Number of weeks per month =$1000/4 = $250

Hence, if the monthly disability benefit is $1000 per person, then the weekly disability benefits is $250 per week.

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Idenify the terms and the coefficient of the expression?

1. 5x + 2v - 5

Answers

Answer:

The expression is:

5x + 2v - 5

The terms in this expression are:

5x, with a coefficient of 5

2v, with a coefficient of 2

-5, with a coefficient of -5

So the coefficients are 5, 2, and -5 respectively.

Geometry triangle proofs, please help

Answers

∠DEF ≅ ∠FHG as, The other two corresponding angles are equal.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Are two triangles DEF and FGH.

DE || FG so the m∠D = m∠F.

Therefore, The sides opposite to ∠D and ∠F are equal and they are

EF and GF.

Given, m∠E = m∠G>

Therefore, The measure of angle D is equal to the measure of angle F.

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Find the volume of a right-circular cone of base radius r and height h.

Answers

You need to include an image or the measurements. No one can give you the answer without those numbers.

The volume of a right-circular cone of base radius 7cm and height 24cm is 1232 cm³.

What is volume?

An object or substance's volume is the amount of space it takes up. The capacity of a container is typically understood to be equal to its volume rather than the amount of space it occupies. The SI unit for volume is the cubic metre (m³).

Given that radius r = 7

height h = 24

The volume formula of a right-circular cone is

V = 1/3hπr²

Putting the values, we get

[tex]$\text V = \frac{1}{3} \times 24 \times \frac{22}{7} \times 7 \times 7[/tex]

V = 1232 cm³

Thus, The volume of a right-circular cone of base radius 7 and height 24 is 1232 cm³.

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Complete question:

Find the volume of a right-circular cone of base radius r and height h, from the figure given below.

The graph of the line in the xy - plane passes through
the point (2, 3) and crosses the x-axis at the point
(3,0). The line crosses the y-axis at a point (0, b)
what is the value of b?

Answers

The value of b on the given linear equation is: b= 9.

What is the value of b?

Here we have a linear equation.

Remember that the general linear equation can be written as:

y = a*x +b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we have the two points (2, 3) and (3, 0), then the slope is:

a = (0 - 3)/(3 - 2) = -3

The line is like:

y = -3*x +b

To find the value of b, we can replace the values of the point (3, 0), then we will get:

0 = -3*3 + b

0 = -9 + b

9 = b

That is the value of b.

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The graph shows a line and four points that pass through it. у (12,5) (1,3) (3,2) (0, a) What are the values of a and b, and what is an equation

Answers

The equation of the line passing through the points (1, -9), and (-3, -9) is y = -9.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Points are (1,3) and (3,2)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

m = 2 - 3 / 3 - 1

m = -1/2

The equation of the line is given as

y - y₁ = m (x - x₁)

y - 3 = -1/2(x - 1)
y = -1/2x + 1/2 + 3
y = -1/2x + 7/2

As point (0, a) lies on the line, so
a = -1/2(0) + 7/2
a = 7/2

Thus, the required value of a is given as 7/2 and the equaiton of the line is y = -1/2x + 7/2.

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determine the value of k for which the system

Answers

For the system of equations to have a unique solution the value of k must not be 6

Now, According to the question:

The given equations are,

kx + 2y = 5

3x + y = 1

The above equations can be written as,

kx + 2y – 5 = 0

3x + y – 1 = 0

We need to find the value of k.

So, we know that if the two equations are [tex]a_1x+b_1y+c_1=0[/tex], [tex]a_2x+b_2y+c_2=0[/tex] Then we will compare the coefficients such that

[tex]\frac{a_1}{a_2},\frac{b_1}{b_2} and \frac{c_1}{c_2}[/tex].

If [tex]\frac{a_1}{a_2}\neq \frac{b_1}{b_2}[/tex]  then the equations have unique solution, if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2} = \frac{c_1}{c_2}[/tex]

then the equations have infinitely many solutions and if [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}[/tex]

then the equations have no solutions.

Here we can clearly see that,

[tex]a_1=k,b_1=2,c_1=-5\\\\\\a_2=3,b_2=2,c_2=-1[/tex]

So, [tex]\frac{a_1}{a_2},\frac{b_1}{b_2} , \frac{c_1}{c_2}[/tex]

[tex]\frac{a_1}{a_2}=\frac{k}{3}, \frac{b_1}{b_2}=\frac{2}{1} , \frac{c_1}{c_2}=\frac{5}{1}[/tex]

We know that if the system of equation has unique solution then [tex]\frac{a_1}{a_2}\neq \frac{b_1}{b_2}[/tex]

So, we solve on putting their values and we get,

[tex]\frac{k}{3}\neq \frac{2}{1}[/tex]

[tex]k\neq 6[/tex]

Hence, for the system of equations to have a unique solution the value of k must not be 6.

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The given question is incomplete, complete question is:

Find the value of k for which the following system of equation has the unique solution:-

kx + 2y = 5

3x + y = 1.

if (x,y) is a solution to these equations, what is x y?

Answers

If (x,y) is a solution to equations y = x²  and  2y+6 = 2(x+3) , then the value of xy is (a) 1  .

The values of x and y are solutions to two equations:

⇒ y = x²   ....equation(1)

⇒ 2y + 6 = 2(x + 3)    ....equation(2)

To find the value of xy, we first need to find the values of x and y which satisfy both equations.

We can put value of y from the equation(1) into the equation(2) :

⇒ 2y + 6 = 2(x + 3)

⇒ 2x² + 6 = 2(x + 3)

⇒ 2x² + 6 = 2x + 6

⇒ 2x² - 2x = 0

⇒ 2x(x - 1) = 0

that means either "2x=0"   or "x-1=0" ;

⇒   x = 0  or x = 1 .

when x = 1  , we have y = (1)² = 1 .

So , the product is = 1 × 1 = 1 .

Therefore , the value of xy is (a) 1  .

The given question is incomplete , the complete question is

If (x,y) is a solution to equations y = x²  and  2y+6 = 2(x+3) , what is the value of  xy ?

(a) 1

(b) 2

(c) 3

(d) 9

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Simplify the expression
(Please show the work)

Answers

the simplest form of the given expression will be -6[tex]x^{4}[/tex]+26x²+48.

What is a quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally, the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

The equation (8+6x²)((6-x²)

= (8*6)-8x²+36x²-6[tex]x^{4}[/tex]

= -6[tex]x^{4}[/tex]+26x²+48

Hence the simplest form of the given expression will be -6[tex]x^{4}[/tex]+26x²+48.

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