Mathematics College

Solve the following system of equations Detailed step by step

Answers

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following:

$\begin{gathered} 2\text{ x + y = 2 ------equation 1} \\ 4\text{ x + 3y =- 2--- -equation 2} \end{gathered}$

Step 2:

The details of the solution are as follows:

The graphical solution for the two systems of equations are as follows:

CONCLUSION:

The solutions to the systems of equations are:

$x\text{ = 4 , y = -6}$

Related Questions

A sociology professor assigns letter grades on a test according to the following scheme. A: Top 7% of scores B: Scores below the top 7% and above the bottom 60% C: Scores below the top 40% and above the bottom 25% D: Scores below the top 75% and above the bottom 10% F: Bottom 10% of scores Scores on the test are normally distributed with a mean of 67 and a standard deviation of 9.9. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.

Answers

Answer:66.871

Step-by-step explanation:

The mean=67

The population standard deviation=9.9

Let the minimum score representing grade D above the bottom 10% is x1.

P(x<x1)=0.10

P(Z<z)=0.10

z~=-1.48

IF UR GOOD AT MATH PLEASE HURRY AND HELP ME ASAP!!

Answers

how do I use the square root sign

the dot plot shows the heights of the players on two basketball team

Answers

I can’t see it is too burly I’m Srry

Answer:

H. Team B has a greater range in player heights than Team A has.

Step-by-step explanation:

I just took the quiz

si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos vertices, dar como respuesta la mayor de las ordenadas

Answers

The area of the square is given as 100 square unit

How to determine the area of square?

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos

Instead of using the values {1,2,3,4,5,6) on dice, suppose a pair of dice have the following: {1,2,2,3,3,4} on one die and {1,3,4,5,6,8} on the other. Find the probability of rolling a sum of 6 with these dice. Be sure to reduce.

Answers

Answer:

the probability of rolling a sum of 6 with these dice is 1/6.

Step-by-step explanation:

To find the probability of rolling a sum of 6 with the given pair of dice, we can first list all possible pairs of outcomes that add up to 6:

(2,4)

(3,3)

(4,2)

For each of these pairs, we need to find the probability of rolling each number on its respective die and then multiply those probabilities together. The probability of rolling a particular number on one die is the number of times that number appears on that die divided by the total number of outcomes on that die.

For the first pair (2,4), the probability is:

(2 appears twice on one die out of six possible outcomes) × (4 appears once on the other die out of six possible outcomes) = (2/6) × (1/6) = 1/18

For the second pair (3,3), the probability is:

(3 appears twice on one die out of six possible outcomes) × (3 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36

For the third pair (4,2), the probability is:

(4 appears twice on one die out of six possible outcomes) × (2 appears twice on the other die out of six possible outcomes) = (2/6) × (2/6) = 4/36

The total probability of rolling a sum of 6 is the sum of the probabilities of each possible pair:

1/18 + 4/36 + 4/36 = 1/6

Therefore, the probability of rolling a sum of 6 with these dice is 1/6.

A pack of cardinal flower seeds costs $4,and a pack of petunia flower seeds costs$2.50. You buy the same number of packs of each type of flower and spend $39. How many packs of each do you buy?

Answers

Answer:

6 packs of each

Step-by-step explanation:

$4+$2.50=$6.50

39/6.5=6

Answer:

Step-by-step explanation:

4x + 2.50x = 39

6.50x = 39

x = 6

M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =

Answers

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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A bag contains 2 red marbles and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and
a then draws a second marble, what is the probability that both marbles are red? Give the answer as a fraction in
simplest form.

Answers

Answer: I think it would be 1/2, 2/2 or 2/5. If i'm wrong then i'm sorry.

calling all dazai's ans dazai simps ♡♡♡♡♡♡♡

Answers

Is this even mathematics?

A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=x²-680x+127,958. How many machines must be made to
minimize the unit cost?
Do not round your answer.
Number of X-ray machines:
X
5

Answers

Answer:

To find the number of machines that must be made to minimize the unit cost, we need to find the minimum value of the function C(x). To do this, we can take the derivative of C(x) and set it equal to zero:

C'(x) = 2x - 680

2x - 680 = 0

x = 340

Therefore, the minimum value of C(x) occurs when x = 340, and 340 machines must be made to minimize the unit cost.

i have no idea how to do this can anyone help

Answers

f(x) will behave like the function y = 1/x as x -> ± ∞.g(x) will behave like the function y = 1 as x -> ± ∞.h(x) will behave like the function y = x as x -> ± ∞.

How to obtain the end behavior of the functions?

The end behavior of the functions is obtained considering the limits of the functions as the input variable x goes to infinity.

For limits when x goes to infinity, only the term with the highest exponent of each of the numerator and of the denominator is considered, hence the functions are written as follows:

f(x) = x²/x³.g(x) = x³/x³.h(x) = x^4/x³.

Applying the exponent properties, the equivalent expressions are given as the base x elevated to the subtraction of the exponents 2 and 3, hence:

f(x) = 1/x.g(x) = 1.h(x) = x.

Which is how the functions behave as x goes to infinity.

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In the diagram below, the lifeguard is 5 ft. tall while sitting and the angle of elevation from the man on the diving board to the lifeguard (angle 2) is 20. How far apart are the two men? Round your answer to the nearest tenth.

Answers

Answer:

d the same thing as the one that I was a great place for him to get to know the person you want and what is the answer to the

Hypatia has read 20 chapters of a 22-chapter book. What percent of the chapters has she read?

Answers

I’m guessing 90%. ......................

Answer:

90%

Step-by-step explanation:

a data set lists the number of breakages from one machine at an automotive assembly plant. for this data set, the minimum is 2, the first quartile is 13, the median is 14, the third quartile is 15, and the maximum is 18. construct a box-and-whisker plot that shows the number of breakages. move the median first, then the first and third quartiles, and last the minimum and maximum.

Answers

A box and whisker plot is a set of divided data into quartiles which is represented graphically. The quartiles are Q1,Q2,Q3. The box part represents the interquartile range that is between Q1 and Q2.

Whiskers represent the medium and maximum values that are 1.5 times the IQR below Q1 and 1.5 times of IQR above Q3. The data that comes out of the whiskers is considered individually.

The median is 14, the first quartile Q1 is 13, the third quartile Q3 is 15, the minimum is 2 maximum is 18. IQR is 15-13=2.

To construct a data of box-and-whisker.

Draw a number line with minimum and maximum values (2-8)

Make 14 the median on the number line and draw a box from the first quartile 13 to the third quartile 15.

Draw a line from the left side of the box and another line to the right side of the box minimum and maximum 2, 18.

Plot any outliers individually.

like the below representation.

____

| | |

2_131415_18

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The question is asked in the attached file,. Kindly someone answer it in the best way.

Answers

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

What does the Empirical Rule state?

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.

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Please answer this correctly

Answers

Answer:

Mode

Step-by-step explanation:

Mean:

Before replacing = 464/8 = 58

After replacing 42 with 98 = 520/8 = 65

Mode:

Before replacing = 42

After replacing 42 with 98 = 98

Median:

25, 42 , 42 , 47, 55 , 59, 96,98

Before replacing = 47+55/2 = 51

25, 42 , 47, 55 , 59, 96,98 , 98

After replacing 42 with 98 = 55+59/2 = 114/2 = 57

Can u Please help me review this question by solvingPart B and C

Answers

Part B

Given:

P(5, 16), Q(8, 4), R(28, 7), S(10, 16)

u in trigonometric form:

$\begin{gathered} u\text{ = \lparen8-5, 4-16\rparen} \\ =\text{ \lparen3, -12\rparen} \end{gathered}$

The trigonometric form of a vector v is:

$v(cos\theta,\text{ sin}\theta)$

Solving for u:

$\begin{gathered} u\text{ = }\sqrt{3^2\text{ + \lparen-12\rparen}^2} \\ =\text{ 12.37} \end{gathered}$

Solving for the angle:

$undefined$

A line of best fit was drawn to the plotted points in a data set below. Based 1 point
on the line of best fit, for what x-value does y=19? *
(0,4)
(4,7)
(8,10)

Answers

8,10 I had the same question and I put 8.10 I got it write

What is the value of 21/8 divided by 3/4.

Answers

7/2 or 3 1/2 or 3.5. they are all the same answers just in different forms

What is 4 & 1/2+1/8? *

Answers

Answer:

4 5/8

Step-by-step explanation:

Rewriting our equation with parts separated

=4+12+18

Solving the fraction parts

12+18=?

Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.

LCD = 8

48+18=58

Combining the whole and fraction parts

4+58=458

Part D
Write an expression for the area of square 5 by combining the areas of the four
triangles and the one square.
the expression not the area

Answers

The expression for the area is a^2 + b^2 + 2ab

How to determine the area expression?

The attached image represents the missing information in the question

From the attached image, we have:

Square: Dimension = c by cTriangles: Dimension = Base a or b and Height b or a

The area of the square is calculated using:

Area = c * c

Area = c^2

The area of the four triangles is:

Area = 4 * 0.5 * Base * Height

Area = 4 * 0.5 * b * a

This gives

Area = 2ab

When the areas of the square and the triangles are added, we have:

Total = c^2 + 2ab

Also, we have:

c^2 = a^2 + b^2 ---- Pythagoras theorem

So, we have:

Total = a^2 + b^2 + 2ab

Hence, the expression for the area is a^2 + b^2 + 2ab

Answers

Do you are do me are you di I number 285g72

- 4(x - 2) = 2 - 2x

What is x?

Answers

Answer:

x=3

Step-by-step explanation:

-4(x-2)=2-2x

-4x+8=2-2x

-4x+8=-2x+2

-4x=-2x+2-8

-4x=2x-6

-2x=-6

x=3

Let's solve your equation step-by-step.

-4(x-2)=2-2x

Step 1: Simplify both sides of the

equation.

-4(x-2)=2-2x

Simplify:

(-4)(x)+(-4)(-2) = 2+ -2x

(Distribute)

-4x+8=2+ -2x

-4x+8=-2x+2

Step 2: Add 2x to both sides.

-4x+8 + 2x = -2x+2+2x

-2x+8=2

Step 3: Subtract 8 from both sides.

-2x+8-82-8

-2x=-6

Step 4: Divide both sides by -2.

-2x -6 = -2 -2

x=3

Which of the numbers listed below are solutions to the equation? Check all
that apply.
x² =-7
A. - 77
B. 49
C.-3.5
D. 17
DE.-7.
DF. None of these

Answers

Answer:C is the right answer

Step-by-step explanation:

HELP ME PLEASE!!!!!!
ZEARN!!!!

Answers

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

How to rewrite the expression using fifteenths

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

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

Answers

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly 10 flights arrive on time.

Answers

Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

= 0.5333

= 53.33%

Hence the required probability is 53.33%.

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Find the final amount of money in an account if
$
6
,
700
is deposited at
7
%
interest compounded weekly and the money is left for
10
years.

Answers

Answer:

7064

Step-by-step explanation:

NO LINKS!!
Write a mathematical model for the problem and solve it.
The sum of two consecutive natural numbers is 575. Find the numbers. (Enter your answers as a comma-separated list.)

Answers

Answer:

Step-by-step explanation:

To find the two consecutive natural numbers whose sum is 575, we can set up the following equation:

x + (x+1) = 575

where x and x+1 are the two consecutive natural numbers.

We can solve this equation by combining like terms:

2x + 1 = 575

Subtracting 1 from both sides, we get:

2x = 574

Dividing both sides by 2, we get:

x = 287

Therefore, the two consecutive natural numbers are 287 and 288. Our final answer is 287, 288.

Answer:

287,288

Step-by-step explanation:

Question

The sum of two consecutive natural numbers is 575. Find the numbers

soln

x +( x + 1) = 575

x + x + 1 = 575

2x + 1 = 575

2x = 575 – 1

2x = 574

$ \frac{2x}{2} = \frac{574}{2} $

x = 287

since we got x as 287, lets solve(x+1)

by substituting

287 + 1 = 288

hence the consecutive numbers are 287,288

Check

287 + 288 = 575

we are correct.

i hope this helps

How do I solve this?

Answers

14.87

Step-by-step explanation:

use the Pythagorean theorem

a^2+b^2=c^2

C being the longest side of the triangle

14^2+5^2=C^2

196+25=C^2

221=C^

find the square root of 221

C=14.866

rounded to nearest tenth

C=14.87

Answer:

Step-by-step explanation:

5^2 +14^2=C^2

25+196=C^2

221=C^2

√221=√C^2

14.86=C

appr 15 =C

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