8 times the sum of twice a number and 5

The following statements best explains the steps to solve the pair of equations graphically is Option D.

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

The first equation is:

y = -x +1

so the slope is -1, and the y-intercept is +1.

The second equation is:

 y = 2x +4

so the slope is 2, and the y-intercept is 4.

The slopes and intercepts are properly described in the last selection.

To know more about Line check:

https://brainly.com/question/17188072

#SPJ9

The complete question:

A pair of linear equations is shown below:

y = -x + 1

y = 2x + 4

Which of the following statements best explains the steps to solve the pair of equations graphically? (4 points)

On a graph, plot the line y = -x + 1, which has y-intercept = -1 and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of

Intersection of the two lines as the solution.

On a graph, plot the line y = -x + 1, which has y-intercept - 1 and slope = 1, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of

intersection of the two lines as the solution.

On a graph, plot the line y = -x + 1, which has y-intercept = 1 and slope = -1, and y = 2x + 4, which has y-intercept = -2 and slope = 2, and write the coordinates of the point

of intersection of the two lines as the solution.

On a graph, plot the line y = -x + 1, which has y-intercept = 1 and slope = -1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of

intersection of the two lines as the solution.

Answer:

To solve the integral, we can use partial fractions and then integrate each term separately. The integrand can be written as:

\(\dfrac{x^4(1-x)^4}{1+x^2} = \dfrac{x^4(1-x)^4}{(x+i)(x-i)}\)

Using partial fractions, we can write:

\(\dfrac{x^4(1-x)^4}{(x+i)(x-i)} = \dfrac{Ax+B}{x+i} + \dfrac{Cx+D}{x-i}\)

Multiplying both sides by (x+i)(x-i), we get:

\(x^4(1-x)^4 = (Ax+B)(x-i) + (Cx+D)(x+i)\)

Substituting x=i, we get:

\(i^4(1-i)^4 = (Ai+B)(i-i) + (Ci+D)(i+i)\)

Simplifying, we get:

\(16 = 2Ci + 2B\)

Substituting x=-i, we get:

tex^4(1+i)^4 = (Ci+D)(-i-i) + (Ai+B)(-i+i)\)

Simplifying, we get:

\(16 = 2Ai + 2D\)

Substituting x=0, we get:

\(0 = Bi + Di\)

Substituting x=1, we get:

\(0 = A+B+C+D\)

Solving these equations simultaneously, we get:

A = -22/7 + π

B = 0

C = 22/7 - π

D = -2/5

Therefore, the integral can be written as:

\(\int_0^1 \dfrac{x^4(1-x)^4}{1+x^2}dx = \int_0^1 \left[\dfrac{-22/7+\pi}{x+i} + \dfrac{22/7-\pi}{x-i} - \dfrac{2/5}{1+x^2}\right]dx\)

Integrating each term separately, we get:

\(\int_0^1 \dfrac{-22/7+\pi}{x+i}dx = [-22/7+\pi]\ln(x+i) \bigg|_0^1 = [\pi-22/7]\ln\left(\dfrac{1+i}{i}\right)\)

\(\int_0^1 \dfrac{22/7-\pi}{x-i}dx = [22/7-\pi]\ln(x-i) \bigg|_0^1 = [22/7-\pi]\ln\left(\dfrac{1-i}{-i}\right)\)

\(\int_0^1 \dfrac{-2/5}{1+x^2}dx = -\frac{2}{5}\tan^{-1}(x)\bigg|_0^1 = -\frac{2}{5}\tan^{-1}(1) + \frac{2}{5}\tan^{-1}(0) = -\frac{2}{5}\tan^{-1}(1)\)

Therefore, the correct options are:

A) \(\pi-\frac{22}{7}\)

B) \(\frac{2}{105}\)

C) 0

D) \(\frac{71}{15}-\frac{3\pi}{2}\)

Answer:

Step-by-step explanation:

First we must distribute the multiplier 3 over x + 4, obtaining 3x + 12.

We then have 3x + 12 = 3x + 12, or 12 = 12.  This is always true; the given equation has an infinite number of solutions.

Answer:

Step-by-step explanation:

Area of each face of a cube = 25 ft²

⇒ Side² = 25

Surface area of cube = 6side²

                                     = 6*25

                                      = 150 ft²

Answer:

For anyone who needs it the answer is 150 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.

To solve the expression "32 divided by 10-8 divided by 2-3," we follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

32 divided by 10 equals 3.2.

Next, perform the second division which is 8 divided by 2 which equals 4.

Subtract the result of the second division (4) from the first division result (3.2): 3.2 - 4

= -0.8.

Finally, subtract 3 from the -0.8.

-0.8 - 3

= -3.8.

Therefore, the expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ6

Answer:

The factorization is given below:

Step-by-step explanation:

The factorization is given below:

a.\(x^2 - 2x\)

(x - 2) (x)

b.  \(6x^2 + 12x\)

6(x^2 + 12)

6x (x + 2)

c. \(3x^2 - 9x\)

3(x^2 - 3x)

3(x - 3) (x)

d. \(4x^2 + 28x^3\)

4x^2 (1 + 7x)

The area to the right of 2.6 in a t-distribution with n degrees of freedom is 0.9082, assuming the sample is a random sample from a distribution that is reasonably normally distributed and that we are doing inference for a population mean.

We can use a t-distribution table or a statistical software program to find the area to the right of 2.6. Here, I'll show you how to use a t-distribution table:

Determine the degrees of freedom (df) for the t-distribution. This is equal to n - 1.

Look up the t-value that corresponds to a one-tailed probability of 0.05 and df.

Multiply the t-value by -1 to get the positive value for the right tail. In other words, we need the value for the right tail, so we flip the sign of the t-value.

Add 0.5 to the result to account for the area to the left of 2.6. This gives us the cumulative probability from negative infinity to 2.6.

Subtract the result from 1 to get the area to the right of 2.6.

For example, suppose we have a sample of size n = 10. Then, the degrees of freedom for the t-distribution would be df = 10 - 1 = 9. Using a t-distribution table, we can look up the t-value that corresponds to a one-tailed probability of 0.05 and df = 9:

t-value = 1.833

Since we need the positive value for the right tail, we multiply by -1 to get:

t-value = -1.833

Adding 0.5 to account for the left tail gives:

t-value + 0.5 = -1.333

Finally, subtracting this result from 1 gives us the area to the right of 2.6:

Area to the right of 2.6 = 1 - 0.0918 = 0.9082

for such more question on  t-distribution

https://brainly.com/question/16994704

#SPJ11

Answer:

Step-by-step explanation:

The above relations are true.

__

The relation 1.2 > √1.5 > 1.3 is false without even considering the value of √1.5, because 1.2 is not greater than 1.3.

You have to know the meanings of the symbols:

  A < B  ⇔  A is less than B

  C > D  ⇔  C is greater than D

Answer:

100

Step-by-step explanation:

"Percent" or "%" means "out of 100" or "per 100".

Therefore 20% can be written as  20 /100

Therefore, 20 is 20% of  100

Answer:

answer will be

Step-by-step explanation:

12

option d

Answer:

65/11 or 5 10/11 or 5.9

Step-by-step explanation:

Answer:

it is 4

Step-by-step explanation:

you need help I am hear for you girl you got this

Hey there!

This answer to your question is it is false.

This is because you could have a rectangle with a length of 6 and a width of 4, and the area would be the same as a rectangle with a length of 8 and a width of 3. They would both be 24.

Hope it helps and have an amazing day! Stay safe!

Answer:

Yes

Step-by-step explanation:

79.38 cm

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

Based on the study results, there appears to be a difference among North American, European, and Asian organizations in the proportion of organizations that raised prices in response to unfavourable exchange rates.

Out of the surveyed sample, 46.67% of North American organizations (70 out of 150) raised prices, while 54.17% of European organizations (65 out of 120) and 30% of Asian organizations (30 out of 100) raised prices. Therefore, it can be concluded that a higher proportion of European organizations raised prices compared to North American organizations, while Asian organizations had the lowest proportion.

However, it is important to note that this study only represents a sample of organizations and may not necessarily reflect the entire population of each region.

To know more about proportion visit:-

https://brainly.com/question/31548894

#SPJ11

Answer:

Question 1

The greatest number of treasure chest you can fill = 23

Step-by-step explanation:

Gold coins = 46

Diamonds = 115

Rubies = 184

To determine the greatest number of treasure chests you can fill, find the highest common factors of 46, 115 and 184

46 = 1, 2, 23, 46.

125 = 1, 5, 23, 115

184 = 1,2,4,8,23,46,92,184

The highest common factors of 46, 115 and 184 is 23

The greatest number of treasure chest you can fill = 23

Number of gold coins in each chest = 46/23

= 2

Number of diamonds in each chest = 115 / 23

= 5

Number of rubies in each chest = 184 /23

= 8

Question 2

Nickels = 246

Dimes = 312

Quarters = 204

Find the highest common factor of 246, 312, 204

246 = 1, 2, 3, 6, 41, 82, 123, 246

312 = 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312.

204 = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The highest common factor of 246, 312, 204 is 6

How many are in your group?

6 members

There are 6 members in your group that each person got the same exact amount of each coin with no coins remaining.

Number of nickels each person receive = 246 / 6

= 41

Number of dimes each person receive = 312 / 6

= 52

Number of quarters each person receive = 204 / 6

= 34

Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.

Step-by-step explanation:

The given equation is:

12x + 15y = 4140             .....(1)

Where,

x stands for $12 tickets and y stands for $15 tickets

According to the question:

x + y = 300           ....(2)

Now solving equation 1 and 2.

From equation 2:

x = 300 - y

Now putting this expression in equation 1.

12x + 15y = 4140

12(300 - y) + 15y = 4140

3600 - 12y + 15y = 4140

3600 + 3y = 4140

3y = 4140 - 3600

3y = 540

y = 180

And,

x = 300 - y = 300 - 180 = 120

The number of $12 tickets sold = x = 120

The number of $15 tickets sold = y = 180

Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.

The answer is 231 inches.

To understand how we arrive at this answer, let's break down the given measurement step by step. We have 6 yards, 3 feet, and 7 inches.

Starting with yards, we know that 1 yard is equal to 3 feet, so 6 yards would be equivalent to 6 * 3 = 18 feet. Adding the 3 feet given, we have a total of 18 + 3 = 21 feet.

Moving on to inches, we know that 1 foot is equal to 12 inches. So, the 21 feet we calculated earlier would be equal to 21 * 12 = 252 inches. Finally, adding the 7 inches given, we get a total of 252 + 7 = 259 inches.

Therefore, 6 yards 3 feet 7 inches is equal to 259 inches.

To learn more about measurement click here:

brainly.com/question/2107310

#SPJ11

Answer:

the third one is the right one

Answer:

1/6

Step-by-step explanation:

To find the probability that at least 2 of the comments are positive, we can use the concept of complementary probability. We'll find the probability that fewer than 2 comments are positive and then subtract it from 1 to get the desired probability.

Let's consider the following scenarios:

1. No comments are positive (all 10 comments are negative).

2. Exactly 1 comment is positive.

Let's calculate the probability of each scenario:

1. Probability of no comments being positive:

P(No positive comments) = (0.9)^10 = 0.3487 (rounded to four decimal places)

2. Probability of exactly 1 comment being positive:

P(Exactly 1 positive comment) = 10 * (0.1)^1 * (0.9)^9 ≈ 0.3874 (rounded to four decimal places)

To find the probability that at least 2 comments are positive, we subtract the sum of the above probabilities from 1:

P(At least 2 positive comments) = 1 - P(No positive comments) - P(Exactly 1 positive comment)

                             = 1 - 0.3487 - 0.3874

                             ≈ 0.2639 (rounded to four decimal places)

Therefore, the probability that at least 2 of the comments are positive is approximately 0.2639 or 26.39%

Learn more about complementary probability here:

https://brainly.com/question/17256887

#SPJ11

Answer:

450 N

Step-by-step explanation:

Since you have the VOLUME and the HEIGHT of the prism, you can calculate the AREA of the prism base :

 18 m^3 / 3 m =   6 m^2    area

Now you are given  pressure = force / area

                                      75 n/m^2 =  force / 6 m^2

        6 *75 = force = 450 N

Answer:

450 newtons

Step-by-step explanation:

To solve for the force, we first need to find the area. (Force = Pressure × Area)

\(Area = \frac{volume}{height} = \frac{18m^{3} }{3m} = 6m^{2}\)

Now we just substitute this number into \(Force = Pressure * Area\) and get that \(Force = 75newtons/m^{2} * 6m^{2} = 450 newtons\)

(p.s. Units are very important! This question doesn't require any unit

conversions, but others might.)

for number one, the mean would be 45 minutes

for number 9, he wants to use the number of minutes that occurred most often as that is the definition of mode

please mark branliest it’d be appreciated ♡

Answer:

for ponits

Step-by-step explanation:

The proof is completed using the properties of equality

The two column proof is completed as below

Statement                                              Reason

angle 2 ≅ angle 4                                  Given

angle 1 + angle 2 = 90 deg                   definition of right triangle

angle 3 + angle 4 = 90 deg                  definition of right triangle

angle 1 + angle 2 = angle 3 + angle 4  substitution property of equality

angle 1 + angle 4 = angle 3 + angle 4  substitution property of equality

angle 1 = angle 3                                   addition property of equality

Learn more about two column proof at

https://brainly.com/question/18286984

#SPJ1

Answer:

  x = 274 91/107

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

  2.14x -12.18 +12.18 = 576 +12.18

  2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

  2.14x(1/2.14) = 588.18(1/2.14)

  x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

Answer:

x = 274 91/107

Step-by-step explanation:

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

 2.14x -12.18 +12.18 = 576 +12.18

 2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

 2.14x(1/2.14) = 588.18(1/2.14)

 x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

The boat must move 785.82 m closer to the cliff  for the angle of depression to become 19°.

We need to find how much closer to the cliff the boat must move for the angle of depression to change from 7° to 19°.

Calculate the distance from the boat to the base of the cliff at 7° angle of depression.
Using the tangent function, we have:
tan(angle) = height/distance
tan(7°) = 150m/distance
distance = 150m/tan(7°)

distance=1221.49

Calculate the distance from the boat to the base of the cliff at 19° angle of depression.
Using the tangent function, we have:
tan(angle) = height/distance
tan(19°) = 150m/distance
distance = 150m/tan(19°)

distance=435.6665

Calculate the difference between the two distances to find out how much closer the boat must move.
difference = distance at 7° angle of depression - distance at 19° angle of depression

Plugging in the values from Steps 1 and 2, we get:
difference = (150m/tan(7°)) - (150m/tan(19°))

difference=1221.49-435.6665

difference=785.8235

After calculating, we find that the boat must move approximately 785.82 meters closer to the cliff for the angle of depression to change from 7° to 19°.

To learn more about angle of depression refer here

https://brainly.com/question/13514202#

#SPJ11