Can someone please help me with The Questions #14 and #15 of The Operations On The Polynomials & The Special Products for me, please guys? :)

Answer:

y = -1x - 1

Step-by-step explanation:

y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (3-(-3)) / (-4-2)

   = 6 / -6

m = -1

Find b:

Pick anyone of the two coordinates. Let's use (2, -3).

y = mx + b

-3 = -1(2) + b

-3 = -2 + b

b = -1

Use m and b from above steps to make equation.

y = mx + b

y = -1x - 1

Answer:

\( \boxed{x = - \frac{1}{6}} \)

Step-by-step explanation:

\( = > \frac{1}{2} x + \frac{3}{4} = \frac{2}{3} \\ \\ = > \frac{1}{2} x = \frac{2}{3} - \frac{3}{4} \\ \\ = > \frac{1}{2} x = ( \frac{2}{3} \times \frac{4}{4} ) - (\frac{3}{4} \times \frac{3}{3} ) \\ \\ = > \frac{1}{2} x = \frac{8}{12} - \frac{9}{12} \\ \\ = > \frac{1}{2} x = \frac{8 - 9}{12} \\ \\ = > \frac{1}{2} x = - \frac{1}{12} \\ \\ = > x = 2 \times ( - \frac{1}{12} ) \\ \\ = > x = - \frac{1}{6} \)

Answer:

6 units to the right

Step-by-step explanation:

i added it to a graph.

Answer: You can use the distance formula to find the distance between any two points ion the plane. In this case, look carefully at the coordinates:

R(-1, 7) and T(-7, 7), Notice they both have y-coordinate 7. That means they are both on the same horizontal line. To find their distance, just subtract -7 from -1 and take the absolute value.

|-1 - (-7)| = |-1 + 7| = |6| = 6

The distance is 6 units

Step-by-step explanation:

Answer:

He paid $2.30 for each gallon of gas he got.

This type of reflection is a reflection that is across the y axis

A reflection across the y-axis is a transformation that flips a figure over the y-axis.

In this transformation, each point of the original figure is reflected to the opposite side of the y-axis.

In terms of coordinates, a point (x, y) in the original figure is transformed to the point (-x, y) in the reflected figure. This means that the x-coordinate of each point changes sign, but the y-coordinate remains the same.

This image is flipped on the y axis. The positions are changed from the positions at y

Read more on reflection transformation here:https://brainly.com/question/29788009

#SPJ1

Dr. Anderson and her team used a systematic method of observation to quantify the number of interruptions made by kindergartners during a 1-hour lesson. To manage the observation period, the team used a cyclical approach of observing for 1 minute, taking a 1-minute break, and then repeating the cycle.

This allowed the team to stay focused during the observation period and prevent fatigue or observer bias. The team likely used a tally sheet or another method of recording data to keep track of the number of interruptions during each 1-minute observation cycle. This helped them to accurately quantify the data and draw conclusions based on their observations.
Dr. Anderson and her team used a systematic observation method to quantify the number of times kindergartners interrupt their teacher during a 1-hour lesson. They employed a cyclical approach where they observed for 1 minute, took 1 minute off, and then repeated this cycle throughout the entire lesson. This method allowed the team to effectively manage the observational period and gather data on the kindergartners' behavior.

To learn more about observation :  brainly.com/question/31715625

#SPJ11

The sum of the numbers 3.2 and −0.8 will be 2.4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

3.2 and −0.8

Then the sum of the numbers 3.2 and −0.8 will be given by putting a plus sign between the numbers 3.2 and −0.8.

⇒ 3.2 + (−0.8)

⇒ 3.2 − 0.8

⇒ 2.4

The sum of the numbers 3.2 and −0.8 will be 2.4.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

The surface area of the right rectangular prism is 21 square feet.

The surface area of a right rectangular prism can be found using the formula:

Surface Area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the prism, respectively.

The surface area of the right rectangular prism is 21 square feet.

In this case, the height is 5 ft, the width is 1 1/2 ft, and the length is 1 1/3 ft. We need to convert the width and length to improper fractions in order to use the formula:

Width = 1 1/2 = 3/2

Length = 1 1/3 = 4/3

Substituting these values into the formula, we get:

Surface Area = 2(4/3)(3/2) + 2(4/3)(5) + 2(3/2)(5)

Surface Area = 8/3 + 40/3 + 15

Surface Area = 63/3

Surface Area = 21

Therefore, the surface area of the right rectangular prism is 21 square feet.

To know more about rectangular prism:

brainly.com/question/21308574

#SPJ4

Answer:

6

Step-by-step explanation:

22-2.5=19.5

19.5/3.25=6

Answer:

36h + 75 < 1200

solve:

36h + 75 = 1200

36h = 1125

h = 1125 divided by 36 = 31.25.

Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200

Answer:

(1 - 0.08)^4

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

hope this helps

Answer:

C

Step-by-step explanation:

C shows it being anything below six, and if x is less than six this is the correct answer.

Kismet paid a total of $49.39 for her day at the science museum.

To find the total amount Kismet paid for her day at the science museum, we will calculate the cost of the exhibit tickets, lunch, tax, and tip separately, and then sum these costs together.

Step 1: Calculate the cost of the exhibit tickets.

Admission to the exhibit is $15.75 per person plus tax, and Kismet pays for herself and her friend.
Ticket cost for 2 people: $15.75 * 2 = $31.50

Step 2: Calculate the tax for the exhibit tickets.
Tax for tickets: $31.50 * 9.15% = $31.50 * 0.0915 = $2.88

Step 3: Calculate the cost of Kismet's lunch.
Sandwich: $7.85
Apple: $1.75
Drink: $2.39
Total lunch cost: $7.85 + $1.75 + $2.39 = $11.99

Step 4: Calculate the tax for Kismet's lunch.
Tax for lunch: $11.99 * 9.15% = $11.99 * 0.0915 = $1.10

Step 5: Calculate the tip for the server.
Tip: $11.99 * 16% = $11.99 * 0.16 = $1.92

Step 6: Calculate the total amount Kismet paid.
Total cost: (Ticket cost + Ticket tax) + (Lunch cost + Lunch tax + Tip)
Total cost: ($31.50 + $2.88) + ($11.99 + $1.10 + $1.92) = $49.39

To learn more about tax, visit:

https://brainly.com/question/30163376

#SPJ11

Answer:

L = 3D + 51; 153

Step-by-step explanation:

Answer:

\(3^{0} =1\)

Step-by-step explanation:

The values of x in the equation are (a) x = 13 and (b) x = 1

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

(x - 7)2 = 36

This equation when expressed properly is

(x - 7)² = 36

Take the square roots of both sides of the equation

So, we have the following representation

x - 7 = ±6

Add 7 to both sides of the equation

This gives

x = 7 ± 6

Evaluate the sum and the difference

x = 1 and 13

Hence, the solutions are (a) and (b)

Read more about equations at

https://brainly.com/question/2476251

#SPJ1

x= 4  is a number and five is at least half the difference of six and the same number.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.

Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.

Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

According to our question-

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

Learn more about inverse proportional relations here:

brainly.com/question/1266676

#SPJ4

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

Visit here to learn more about median:

brainly.com/question/26177250

#SPJ11

The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

to know more about equations

brainly.com/question/29657983

#SPJ1

Step-by-step explanation:

(Steve's distance from the tip of the monument I'm assuming?)

ans: about 893.92 ft (√798,025)

a²+b²=c²

a=700

b=555

Answer:

Man i need someone to answer this too

Step-by-step explanation:

Answer:

1/2 1/6 1/6

Step-by-step explanation:

Answer:

43 if yousubtract it

STEP-BY-STEP EXPLANATION

The pair that leads to the lowest risk of loss is a probability of 0.40 with an outcome of $45,000.

To determine the pair that results in the lowest risk of loss, we need to consider the probability of occurrence and the associated outcome. In this case, the probability of 0.40 (40%) paired with an outcome of $45,000 provides the lowest risk of loss. With this pairing, there is a 40% chance of a loss, but the potential loss is only $45,000.

By contrast, the other option presented in the question is a probability of 0.60 (60%) paired with an outcome of -$60,000. This pairing represents a higher risk of loss, as there is a higher probability of occurrence (60%) and a greater potential loss (-$60,000).

Choosing the pair with the lower probability and a more favorable outcome results in a reduced risk of loss. It is important to consider both the probability and potential outcomes to assess and manage risk effectively.

Learn more about probability visit

brainly.com/question/31828911

#SPJ11

(A) A 95% confidence interval estimate for the percentage of all voters who believe competence is more important than character is (0.538, 0.602).

(B) This is due to the interval's lower bound's value of 0.538, which is higher than 0.5.

(C) In this instance, 95% confidence indicates that if the sampling procedure were repeated numerous times and a 95% confidence interval estimate was calculated for each sample

(A) Using the method below, we can calculate an estimate with a 95% confidence interval for the proportion of voters who think competence is more significant than character:

CI equals p z*(sqrt(p*(1-p)/n)/p)).

where: p = the percentage of voters who say character is more essential than competence = 0.57; n = the sample size; 1000; and z = the z-score for a 95% confidence level; 1.96.

By entering the numbers, we obtain:

CI = 0.57 1.96*(sqrt(0.57*(1-0.57)/1000)), which equals 0.57 0.032. (0.538, 0.602)

the 95% confidence interval estimate for the proportion of respondents overall who think competence is more significant than character is (0.538, 0.602).

(B) Based on the range discovered in part, it is reasonable to infer that the majority of voters value competence over character (a). This is due to the interval's lower bound's value of 0.538, which is higher than 0.5. Therefore, we can state with 95% certainty that the actual proportion of voters who think competence is more crucial than character is at least 53.8%, which is a majority.

(C) In this instance, 95% confidence indicates that if the sampling procedure were repeated numerous times and a 95% confidence interval estimate was calculated for each sample, then roughly 95% of those intervals would contain the actual proportion of voters who believe competence is more significant than character. That is to say, we have a 95% confidence interval (0.538, 0.602) that contains the actual proportion of voters who think competence is more significant than character.

Learn more about percentage here:

https://brainly.com/question/29306119

#SPJ4

Answer:

#1

The cost to produce 500 helmets:

#5

The break-even point is the price when profit is zero:

#6

There will be a profit as the selling price is greater than the break even point:

Find cost of x=500 helmets

Break even point

So

There is profit as its less than 18

The equation of the tangent plane to the surface \(x^2 + 3y^2 + 2z^2 = 49\)at the point P₀(2, 3, 3) is 4x + 18y + 12z = 58. The equation of the normal line at P₀ is parametrically represented as x = 2 + 4t, y = 3 + 9t, and z = 3 + 6t, where t is a parameter.

To find the equation of the tangent plane at the point P₀(2, 3, 3), we need to compute the partial derivatives of the surface equation with respect to x, y, and z. Taking the partial derivatives, we get:

∂(x^2 + 3y^2 + 2z^2)/∂x = 2x

∂(x^2 + 3y^2 + 2z^2)/∂y = 6y

∂(x^2 + 3y^2 + 2z^2)/∂z = 4z

Evaluating these derivatives at P₀, we obtain: ∂f/∂x = 4(2) = 8, ∂f/∂y = 6(3) = 18, and ∂f/∂z = 4(3) = 12.

Using these values, we can write the equation of the tangent plane in point-normal form:

8(x - 2) + 18(y - 3) + 12(z - 3) = 0

Simplifying this equation gives us: 4x + 18y + 12z = 58, which is the equation of the tangent plane to the surface at P₀.

To find the equation of the normal line at P₀, we can use the gradient vector of the surface equation evaluated at P₀. The gradient vector is given by:

∇f = (∂f/∂x, ∂f/∂y, ∂f/∂z)

Substituting the values ∂f/∂x = 8, ∂f/∂y = 18, and ∂f/∂z = 12, we have ∇f = (8, 18, 12).

The parametric equations of the normal line passing through P₀ are then:

x = 2 + 8t

y = 3 + 18t

z = 3 + 12t

Here, t is a parameter that can vary to generate different points on the normal line.

Learn more about tangent plane here:

https://brainly.com/question/30565764

#SPJ11

The negation of the proposition posed the statement is:

"Every student in this class has seen a computer."

The negation of the proposition "There is a student in this class who has never seen a computer" can be expressed using quantifiers as follows:

∀ x ∈ S, ∃ y ∈ C (x has seen y)

This means "For all students x in the class S, there exists a computer y in the set of computers C such that x has seen y."

In English, the negation of the proposition can be expressed as "Every student in this class has seen a computer."

More information about  the negation of the proposition here: https://brainly.com/question/28610800

#SPJ11

Answer:

You can write it like 25.20 x -2 = -50.40

Step-by-step explanation: