how to solve -4+y=3?​

Step-by-step explanation:

solution..

(0,5)=(x1,y1)

(-3,4)= (X2,y2)

now,

distance (d)^2=(x2-x1)^2+(y2-y1)^2

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

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

Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

Answer:

JZF

Step-by-step explanation:

when JZF and HZJ are added together to make 180 degrees

this is significant because when a angle is supplementary both angles must add up to 180 degrees

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

Answer:

\({ \tt{ {a}^{8} - {12a}^{4} + 36}} \\ = { \tt{ {a}^{4} ( {a}^{2} - 12) + 36 }} \\ = ( {a}^{2} - 12)( {a}^{4} + 36) \\ \)

Answer: 12x^2+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The following code is written in Python. It is a function that takes in the number of miles as an argument and returns the number of laps that those miles represents.

def miles_to_laps(miles):

   laps = miles / 0.25

   return laps

Answer:

x = 20

Step-by-step explanation:

The sum of the three angles in the diagram is 180 degrees since they form a straight line

x + 100 + 3x = 180

Combine like terms

100 +4x = 180

Subtract 100 from each side

100+4x-100 =180-100

4x= 80

Divide each side by 4

4x/4 = 80/4

x = 20

The solution of the given system is x = 0 and y = -2.

Simultaneous equations are any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is a simultaneous equation.

Given:

A system of equations,

-5x + y = -2   {equation 1}

and -3x + 6y = -12    {equation 2}.

Multiply 6 by equation 1 and subtract equation 2 from equation 1,

we get,

-30x + 6y -(-3x + 6y) = -12 -(-12)

-27x = 0

x = 0.

Substitute the value of x into equation 1,

we get,

y = -2.

Therefore, the solution is x = 0 and y = -2.

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Answer:

= -7/ 17

Step-by-step explanation:

To find the slope when given two points

m= ( y2-y1)/(x2-x1)

   = ( -11-3)/(20- -14)

   = (-11-3)/(20+14)

   = -14/34

Divide top and bottom by 2 to simplify

  = -7/ 17

Answer:

-7/17

Step-by-step explanation:

Plug these points into the equation y2-y1/x2-x1. In this case, the y2 value is -11 and the y1 value is 3. In this case, the x2 value is 20 and the x1 value is -14. Therefore, the equation is -11-3/20--14. This is equal to -14/20+14 which is equal to -14/34. This is equal to -7/17. Therefore, the slope is -7/17

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Answer:

The minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Let X represent the scores on a common final exam.

It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.

It is provided that according to the department policy is that the top 10% of students receive an A.

That is, P (X > x) = 0.10.

⇒ P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding z-score is:

z = 1.28

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)

Thus, the minimum exam score to be awarded an A is about 8.52.

Answer:

\(y= -\frac{2}{3}x + 12\) --- (1)

\(y = -2x -6\) --- (2)

Step-by-step explanation:

Solving (a): Line Equation

\((x_1,y_1) = (3,10)\)

\((x_2,y_2) = (6,8)\)

First, calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{8 - 10}{6 -3}\)

\(m = \frac{-2}{3}\)

\(m = -\frac{2}{3}\)

The line equation is then calculated using:

\(y - y_1 = m(x - x_1)\) --- slope intercept formula

This gives:

\(y - 10 = -\frac{2}{3}(x - 3)\)

\(y - 10 = -\frac{2}{3}x + 2\)

Solve for y

\(y= -\frac{2}{3}x + 2+10\)

\(y= -\frac{2}{3}x + 12\)

Solving (b): Line Equation

\((x_1,y_1) = (2,-10)\)

\((x_2,y_2) = (-4,2)\)

Calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{2 -(- 10)}{-4 -2}\)

\(m = \frac{2 + 10}{-6}\)

\(m = \frac{12}{-6}\)

\(m=-2\)

The line equation is then calculated using:

\(y - y_1 = m(x - x_1)\)

This gives:

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

\(y +10 = -2(x - 2)\)

\(y +10 = -2x +4\)

Solve for y

\(y = -2x +4-10\)

\(y = -2x -6\)

Answer:

1. The mean amount that this farmer will earn over a long period of years is:

$57,100

2. It makes sense financially for the farmer to buy the insurance.   In a year of drought, he earns only $5,200.  If he spends on insurance premium, his earnings are reduced by $2,000 to $3,200 but the insurance reimbursement will take his overall net earnings to $23,200 ($3,200 + $20,000).  Incurring the insurance expense is highly justified.

Step-by-step explanation:

Earnings in a typical year = $75,000

Earnings in a wet year = $48,000

Earnings in a drought = $26,000

Pro

                         Typical            Wet           Drought

Earnings          $75,000       $48,000      $26,000

Probability        0.50              0.30             0.20

Expected

 earnings       $37,500       $14,400        $5,200

Mean earnings = $57,100

Insurance expense                                 $2,000

Net earnings after insurance expense $3,200

Insurance Reimbursement                  $20,000

Net earnings                                         $23,200

Answer:

The answer is y=-1 (answer is C).

The correlation coefficient for the data is given as follows:

r = 0.53.

Hence there is an association between the variables that is positive and not strong.

The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:

The correlation coefficient is obtained inserting the points of a data-set into a correlation coefficient calculator.

From the table given at the end of the answer, the points are given as follows:

(43, 99), (21,65), (25, 79), (42, 75), (57, 87), (59, 81).

Inserting these points into a calculator, the equation is given as follows:

r = 0.53.

Meaning that the relationship between the variables is positive and not strong.

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Answer:

D. all real numbers

Step-by-step explanation:

i think this is the answer sorry if you get it wrong.

Reaction rate and reaction time are inversely proportional to each other.

Reaction rate and reaction time are two intertwined concepts. Reaction rate refers to how quickly or slowly a reaction occurs while reaction rate refers to the time taken for a particular reaction to occur.

If the reaction rate increases, the reaction time decreases, if the reaction rate decreases, the reaction time increases hence the both quantities are inversely proportional to each other.

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Answer:

To expand (x-y)³ using Pascal’s triangle, we can write:

    1

 1     1

1 2 1

1 3 3 1

Each row of the triangle represents the coefficients of the binomial expansion of (a+b)ⁿ, with the top row being n=0.

So for (x-y)³, we take the fourth row of the triangle (starting with n=0), and substitute x and y into the formula, alternating the signs of y:

1x³ + 3x²(-y) + 3x(-y)² + 1(-y)³

= x³ - 3x²y + 3xy² - y³

Thus, (x-y)³ = x³ - 3x²y + 3xy² - y³.

Answer:

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Step-by-step explanation:Please help me important question in image

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Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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Answer:

A'(4,-4)

B'(6,2)

C'(8,8)

Step-by-step explanation:

we have to change the sign of y in reflection on x-axis and the sign of X in reflection on y-axis

The solution set of the inequality 2.5x ≥ 20 is x ≥ 8 and as such, Sebastian is incorrect based on his graph.

The graph of the solution set of -48 < -8t is shown below.

In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

Next, we would determine the solution to the given inequality as follows;

2.5x ≥ 20

x ≥ 20/2.5

x ≥ 8 (Sebastian was wrong)

-48 < -8t

-48/-8 < -8t/-8

6 < t

t > 8

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Answer:

anything else?

Step-by-step explanation:

Answer:

3/10, 2/5. 3/8, 7/20

Step-by-step explanation:

3/10=.30=30 percent

2/5=.40=40 percent

3/8=.375=37.5 percent

7/20=.35=35 percent

Answer:

\(10^{-3} \times10^{k} =10^{-3} =\frac{1}{10^{3} }\)

\(10^{-3+1+k} =10^{-3}\)

\(10^{-2+k} =10^{-3}\)

Therefore, \(-2+k=-3\)

\(k=-3+2\)

\(k=-1\)

OAmalOHopeO

Answer: C is the answer

Group B has lower range.

Group A shows variability.

Mean is the best to make concussion about age of Salsa students.

Upon visual examination, it appears that Group A is likely to have a lower average age of music students compared to Group B.

This inference is supported by the observation that the majority of data points in Group B are concentrated around younger ages.

In contrast, Group A exhibits a more dispersed distribution of data points across a wider range of ages, including higher.

So, Group B has lower range.

and, Group A shows variability.

Lastly, Mean is the best to make concussion about age of Salsa students.

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While problem and solution essays are considered expository (writing that exposes facts) in nature, they are persuasive in nature because they call for a solution to a problem.

What is the problem?

A mathematical problem is one that can be modeled, examined, and potentially resolved using mathematical techniques. This can be a practical issue, like figuring out the orbits of the planets in our solar system, or a more theoretical issue, like Hilbert's problems.

The expository essay is a type of essay that calls for the student to research a topic, assess the evidence, elaborate on the topic, and present an argument about the topic in a clear and succinct manner. This can be done by using examples, definitions, comparisons, cause and effect analyses, and more.

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The calculated area of the composite figure is 85 cm².

From the question, we have the following parameters that can be used in our computation:

The composite figure (see attachment)

Where, we have

Rectangle:

Area = length × width.

Therefore, the area of the rectangle is 10 cm × 6 cm = 60 cm².

Triangle:

Area = (1/2) × base × height.

Therefore, the area of the triangle is (1/2) × 5 cm × 10 cm = 25 cm².

To find the total area of the composite figure, we add the areas of the rectangle and the triangle:

Total Area = Area of Rectangle + Area of Triangle

= 60 cm² + 25 cm²

= 85 cm².

Therefore, the area of the composite figure is 85 cm².

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Answer:

a=55

Step-by-step explanation:

This question is asking for you to find the whole (a), given a part (11). This can be done through multiplication. 20% is 1/5 of 100%. This means to find the whole number, you should multiply the part by 5. 11*5=55. So, a must equal 55.

We can check this answer by working backward. Do this by finding 20% of 55, and checking to see if it is 11. To find a percentage of a number, multiply that number by the percent in decimal form. So, 20% of 55 is equal to 0.2*55, which is 11. Therefore, the answer is correct.

Answer: A=55

Step-by-step explanation: 20% of A is 11. 20% of 55 is 11. 55=a

All you do is divide 11 by .2 (11/.2)