write an equation to represent each graph​

The intersection of the two lines y = 3x +5 and y = -x + 1 will be at point (-1,2)

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations are:-

y   =   3x   +   5 ........................ 1

y   =   -x    +    1..........................2

The solution of the two equations will b;-

3x   +   5   =   -x    +    1

4x     =   -4

x  =  -1          

Put the value x in equation 2

y    =  -(-1)   +   1  =  2

Therefore the  intersection of the two lines y = 3x +5 and y = -x + 1 will be at point (-1,2)

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Given:

The given quadratic polynomial is :

\(x^2-x-12\)

To find:

The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.

Solution:

We have,

\(x^2-x-12\)

Equate the polynomial with 0 to find the zeroes.

\(x^2-x-12=0\)

Splitting the middle term, we get

\(x^2-4x+3x-12=0\)

\(x(x-4)+3(x-4)=0\)

\((x+3)(x-4)=0\)

\(x=-3,4\)

The zeroes of the given polynomial are -3 and 4.

The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.

A quadratic polynomial is defined as:

\(x^2-(\text{Sum of zeroes})x+\text{Product of zeroes}\)

\(x^2-(3+(-4))x+(3)(-4)\)

\(x^2-(-1)x+(-12)\)

\(x^2+x-12\)

Therefore, the required polynomial is \(x^2+x-12\).

s6 = 7

Step-by-step explanation:

I hope this helped

Answer:

352.05

Step-by-step explanation:

I don't know how to interpret the equation you wrote and so I just used annuities

I have attached my work below

the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest is $353.95.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given,  a $14,790 auto loan over four years at 6.9% annual interest.

To calculate the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest,

we can use the formula for the monthly payment of a loan:

M = P * (r/12) * (1 + r/12)ⁿ / ((1 + r/12)ⁿ¹)

where:

M = monthly payment

P = principal amount (loan amount)

r = annual interest rate (as a decimal)

n = total number of payments (number of years * 12)

Plugging in the given values, we get:

P = $14,790

r = 0.069 (6.9% expressed as a decimal)

n = 4 * 12 = 48 (4 years with 12 payments per year)

M = $14,790 * (0.069/12) * (1 + 0.069/12)⁴⁸ / ((1 + 0.069/12)⁴⁸⁻¹)

M = $353.95

Therefore, the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest is $353.95.

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Answer:

cost of each sub = $6, delivery fee = $2

Step-by-step explanation:

Let $x be the cost of each sub and $c be the delivery fee

3x + c = 20

4x + c = 26

x = 6, c = 2

The equation that calculates the length of the ladder is L^2 = 4^2 + 7^2

From the question, we have the following parameters

Base length to the ladder = 4 feet

From the base to the top of the ladder = 7 feet

These parameters can be represented as

Base = 4 feet

Height = 7 feet

The equation that calculates the ladder's length can be calculated using the following Pythagoras theorem

Length^2 = Base^2 + Height^2

Substitute the known values in the above equation

So, we have the following equation

L^2 = 4^2 + 7^2

Hence, the equation is L^2 = 4^2 + 7^2

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Answer: A

Step-by-step explanation:

The answers are:

(a) The x component of the vector is 41.568 m.
(b) The y component of the vector is 24.0 m.

(a) The displacement vector \(\( \vec{r} \)\) in the xy plane has a magnitude of 48.0 m and is directed at an angle of \(\( \theta = 30.0^\circ \)\) in the figure.
To determine the x component of the vector, we can use the trigonometric identity \(\( \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \).\)
In this case, the adjacent side represents the x component, and the hypotenuse is the magnitude of the vector.

So, the x component can be calculated as:
\(\( \text{x component} = 48.0 \, \mathrm{m} \times \cos(30.0^\circ) \)\( \text{x component} = 48.0 \, \mathrm{m} \times 0.866 \)\( \text{x component} = 41.568 \, \mathrm{m} \)\)
Therefore, the x component of the vector is 41.568 m.

(b) To determine the y component of the vector, we can use the trigonometric identity\(\( \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \).\)
In this case, the opposite side represents the y component, and the hypotenuse is the magnitude of the vector.

So, the y component can be calculated as:
\(\( \text{y component} = 48.0 \, \mathrm{m} \times \sin(30.0^\circ) \)\( \text{y component} = 48.0 \, \mathrm{m} \times 0.5 \)\( \text{y component} = 24.0 \, \mathrm{m} \)\)
Therefore, the y component of the vector is 24.0 m.

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Answer:

A- a = 8

D- b = 1

Step-by-step explanation:

The speed of the current is 2 miles per hour, and the speed of the kayak in still water is 6 miles per hour.

Given that Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours, while returning to her original location, she paddles downstream (with the current) the same distance in 1 hour, to determine her speed and the speed of the current, the following calculations must be made:

Therefore, the speed of the current is 2 miles per hour, and the speed of the kayak in still water is 6 miles per hour.

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Answer:

30 times 12

Step-by-step explanation:

Answer: 360

I hope its correct soooooo

The method that he chooses to select his sample is Stratified Sampling.

In Stratified, the population is divided into subpopulations and then the same sampling is applied to each region or subpopulation.

The ability to obtain a sample population that most accurately represents the overall population being investigated while ensuring that each subgroup of interest is represented makes stratified random sampling one popular technique employed by researchers. Researchers use stratified sampling to ensure that specific subgroups are represented in the sample. It also helps in the precise evaluation of each group's characteristics. This technique is often used in surveys to better understand disparities between subpopulations.

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Answer:

Step-by-step explanation:its 27

Step-by-step explanation:

step 1. x = 70° (alternate interior angles)

step 2. y = 90° (same side interior angles).

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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Step-by-step explanation:

I hope it will help you here's the answer

Answer:

I believe it's images of god

Answer:

the answer is the option : B

Answer:

D

Step-by-step explanation:

y=kx+m

In this case I think the slope would be k.

k=y2+y1 / x2+x1

(4,-1) and (-1,4)

k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1

The expression represents the median benefit for this insurance policy is x = [250 - √(62500 + 4/c)] / 2

To determine the median benefit for this policy, we need to first understand the probability density function (PDF) associated with the policy. The PDF is a mathematical function that describes the probability of a random variable taking on a specific value. In this case, the random variable is the benefit amount provided by the insurance policy.

The cumulative distribution function (CDF) for this PDF is F(x) = cx(250 - x)/2. To find the value of x that corresponds to a cumulative probability of 0.5, we set F(x) = 0.5 and solve for x:

0.5 = cx(250 - x)/2

1 = cx(250 - x)

1/c = x(250 - x)

1/c = -x² + 250x

0 = -x² + 250x - 1/c

We can solve this quadratic equation using the quadratic formula, which gives us:

x = [250 ± √(250² - 4(-1/c)(-1))] / 2

Simplifying this expression gives us:

x = [250 ± √(62500 + 4/c)] / 2

Since we know that x cannot exceed 250, we take the negative root of the expression to get:

x = [250 - √(62500 + 4/c)] / 2

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The feasible region for the graph is Region III.

Here we have been given the Objective Function

Max 20X + 10Y

The constraints to the function are

12X + 15Y ≤ 180

15X + 10Y ≤ 150

3X − 8Y ≤ 0

Now here we will first draw the graph of the function. We will do this by joining the intercepts of the constraints and shading the feasible region

Now,

12X + 15Y ≤ 180

Here putting X = 0 we get Y = 12 and putting Y = 0, we get X = 15

Hence the intercepts are

(0, 12) and (15, 0)

15X + 10Y ≤ 150

Here we will get the intercepts to be (0, 15) and (10, 0)

3X − 8Y ≤ 0

For this, we will get the intercept as

(0 , 0) and we will get another point as (8 , 3)

Hence now we see that all have a less-than-equal sign, hence all the lines will have their shadings toward the origin.

Hence we get the feasible region as ABCD as shown in the image.

This matches with region III from the question. Hence we get region III as the feasible region

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Complete Question

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Answer:

\( - \frac{23}{10} \)

Step-by-step explanation:

\( \frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2} \)

➡️ \( - \frac{2}{5} \times 2 - \frac{3}{2} \)

➡️ \( - \frac{4}{5} - \frac{3}{2} \)

➡️ \( - \frac{23}{10} \)

Answer:

The tank capacity is 24 gallons

Step-by-step explanation:

Let the tank capacity be c.

Then (1/6)c + 2 = (1/4)c, or (since the LCD is 12):

2c/12 + 24/12 =  3c/12, or

24/12 = c/12

Multiplying both sides by 12, we get:

24 = c

The tank capacity is 24 gallons.

Answer:

$1500

$3000

Step-by-step explanation:

let x = # of hours

$500 + ($50/hr)(20 hr) = $1500

$500 + ($50/hr)($50 hr) = $3000

The following equation is m=d-10+k×i represent the total amount in account(m) in dollar.

Although the question does not specify the options, but I have specified my answer as follows:

Given:

The equation representing the total amount in the account, m, when starting with d dollars and being charged a 10$ fee.

Account Opening Charges: $10

Starting amount: $d

The total amount in the account: $m

Let us say the depositor deposits an amount $k for 'i' number of months

Banks deduct their charges from the account balance itself, hence account opening charges are deducted from the bank balance.

I have assumed an amount $k invested every month. You can remove that term as per the requirement of the question.

The total amount at a point in time = starting amount - Account Opening Charges + monthly deposit till that time

⇒m=d-10+k×i

This equation shows that the total amount in the account will be equal to the initial deposit minus the fee charged by the bank.

Therefore, the following equation is m=d-10+k×i.

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Answer:

uh hamood habibi :)

Answer:

2,1  4,2  6,3  8,4  10,5  12,6  14,7  16,8  18,9  20,10  etc.

Step-by-step explanation:

Answer:

{1,2,3,4,5}

Step-by-step explanation:

union is the collection of all numbers from set A and set B.in order

Answer:

10/3 or 3.33333

Step-by-step explanation:

Images Below

Hope this Helps

Answer:

Nancy will be 32 and Khaled will be 16

Step-by-step explanation:

3 years ago Nancy was more than 2 so lets start with 2. To get back to present each year x2 meaning 3 x 2=6 and add the 2 so thats 8. Now the 4 more years is 4x2 which is 8. 8+8=16 and then twice Nancy's age is 16x2: Nancy is 32 and Khaled is 16