Which form or linear equations are these pls help last day of school due tonight !

On using the implicit differentiation the equation of the tangent line the the curve "x² + 2xy - y² + x = 39" at the point (5,9) is 29x - 8y = 73  .

The equation of the curve is  x² + 2xy - y² + x = 39 ;

to find the equation of the tangent , we differentiate the curve with respect to "x" ,

On differentiation ,

We get ,

⇒ d/dx (x² + 2xy - y² + x) = 0 ,

⇒ 2x + 2y + 2x(dy/dx) - 2y(dy/dx) + 1 = 0 ,

⇒ dy/dx = (1 + 2x + 2y)/(2y - 2x) ....equation(1)

We know that the equation of tangent at the point (x₀,y₀) is given as : ⇒ y = y₀ + y'(x₀)(x - x₀) ...equation(2)

where x₀ = 5 and y₀= 9

So from equation(1) , y'(x₀) = (1 + 10 + 18)/(18 - 10) = 29/8 ,

Then equation(2) becomes , y = 9 + 29/8(x - 5) ,

⇒ y = (29/8)x - (73/8) ,

⇒ 29x - 8y = 73 .

Therefore , the equation of the tangent line is 29x - 8y = 73 .

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The given question is incomplete , the complete question is

How do you use implicit differentiation to find an equation of the tangent line to the curve x² + 2xy - y² + x = 39 at the given point (5,9)?

Answer:

Step-by-step explanation:

Use FOIL method

(2 - 7x)(-x + 2) = 2*(-x) + 2*2 + (-7x)*(-x) + (-7x)*2

                     = -2x + 4 + 7x² - 14x    {Combine like terms}

                   =  7x² - 14x - 2x + 4

                   = 7x² - 16x + 4

x²(2-7x)(-x + 2)= x² (7x² - 16x + 4)

                      = x²*7x² - 16x * x² + 4x²

                      \(7x^{2+2} -16x^{1+2} + 4x^{2}\\\\= 7x^{4} - 16x^{3} + 4x^{2}\)

Answer:13/24

Step-by-step explanation 1. the desired probability is the sum of the probabilities of two disjoint events. In the first event, an apple is selected from the first basket and an orange is selected from the second basket; the probability of this event is (4/6)(5/8)=20/48.                                                           2. In the second event, an orange is selected from the first basket and an apple is selected from the second basket; the probability of this event is (2/6)(3/8)=6/48. Therefore, the desired probability is 20/48+6/48=26/48=13/24.

A function h such that f(x) = (h ◦ g3)(x) is h(x) = 1 - 2cos^2(x) - sin(x).

We want to find a function h such that f(x) = (h ◦ g3)(x), where g3(x) = 3x.

First, we need to express f(x) in terms of g3(x):

g3(x) = 3x

=> sin(g3(x)) = sin(3x)

=> sin(g3(x)) = 3sin(x) - 4sin^3(x)

Using this expression, we can rewrite f(x) as:

f(x) = 2sin^2(x) - sin(x) - 1

=> f(x) = 2(1-cos^2(x)) - sin(x) - 1

=> f(x) = 2 - 2cos^2(x) - sin(x) - 1

=> f(x) = 1 - 2cos^2(x) - sin(x)

Now we can substitute g3(x) into f(x) to obtain:

f(g3(x)) = 1 - 2cos^2(3x) - sin(3x)

Let h(x) = 1 - 2cos^2(x) - sin(x), then:

f(g3(x)) = h(3x)

Therefore, the function h(x) such that f(x) = (h ◦ g3)(x) is                            h(x) = 1 - 2cos^2(x) - sin(x).

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Answer:

5x^3+15x^2-35x

Step-by-step explanation:

Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

Step-by-step explanation:

Given function:

The vertex is (2, 3)

We know the vertex form:

Substitute coordinates to get:

Compare with given to find out:

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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Answer:

x=0

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

3x+3=4+x-1

3x+3=x+4-1

3x+3=x+3

3x+3-3=x+3-3

3x=x

3x-x=x-x

2x=0

\(\frac{2x}{2}=\frac{0}{2}\)

x = 0

The missing values are:

If the point lies on the line.

The point is on both lines, so the lines will intersect at that point.

When the two lines touch is a solution to the system of equations

Both equations will be true

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Suppose you have the following system of two linear equations in two variables:

y= 3+ 2x and y= x .

The first equation is shown in blue, and the second one is shown in red. In the first figure below, both have been plotted.

As you can see, the point of intersection lies on both lines at (-3, -3). As a result, we can also say that this point touches both lines and is a solution to the system of equations.

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The tendency of group members to exert less effort when they work in groups than they would exert if they were acting alone is known as social loafing.

Social loafing is a common phenomenon that occurs when individuals feel that their individual effort will not significantly affect the group's overall performance or when they believe that other group members will compensate for their lack of effort.

This phenomenon can be observed in various group settings, such as in work teams, sports teams, and even in classroom group projects. The lack of accountability and the diffusion of responsibility that occur in groups can contribute to social loafing.

Social loafing can have negative consequences on group performance, as it can decrease the overall quality of the group's output and reduce motivation among group members.

To mitigate social loafing, it is important to establish clear roles and responsibilities for each group member and to provide regular feedback and recognition for individual contributions.

Additionally, creating a sense of collective identity and establishing group goals can also help to combat social loafing by promoting a sense of shared responsibility and commitment to the group's success.

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Answer:

Answer: D (the last graph)

Step-by-step explanation:

In this item, we are given that each student is to pay an amount equal to $300 on top of the $800 that is assumed to be divided by the total number of students who will join the field trip. In this case, the more number of students, the lesser would be the amount the student will pay from the deposits.  

If there are infinite number of students, one student will partake almost $0 in the deposit. The answer to this item therefore is the last graph.

Answer:

d

Step-by-step explanation:

Geometric growth is a type of exponential growth where a quantity or value increases at a fixed percentage rate over a certain period of time.

Geometric growth is a type of exponential growth where a quantity or value increases at a fixed percentage rate over a certain period of time. This means that the growth rate is proportional to the current size or value of the quantity, resulting in a continuously increasing growth rate.

Geometric growth is commonly observed in natural and social systems, such as population growth, compound interest, and the spread of infectious diseases. It is represented mathematically by an exponential function, where the base of the exponent is greater than one, indicating an increasing rate of growth over time.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What is geometric growth ?

To use a centimeter ruler to measure a matchstick, place the ruler parallel to the matchstick, aligning the zero mark with one end. Identify the nearest centimeter mark and estimate the millimeter measurement by looking at the divisions between centimeters and smaller increments for more precision.

To begin, ensure the centimeter ruler is in good condition and properly calibrated. Lay the matchstick on a flat surface, making sure it is straight. Position the ruler next to the matchstick, aligning the zero mark with one end while keeping it parallel to the matchstick. Observe the other end of the matchstick and identify the nearest centimeter mark on the ruler to the left of the end point. This represents the whole centimeter measurement. Next, look at the lines or ticks between the whole centimeter marks. Each centimeter is divided into 10 millimeter intervals. Estimate the length of the matchstick by identifying the millimeter line that aligns with the end of the matchstick. For more precise measurements, use the smaller divisions on the ruler. Each millimeter is further divided into smaller increments called tenths of a millimeter. Estimate the length by identifying the smallest increment that aligns with the end of the matchstick. Record the measurement by noting the number of centimeters, followed by the number of millimeters (and tenths of millimeters, if necessary). Handle the matchstick carefully to avoid any damage or inaccuracies in the measurement..

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Answer: That would be alternate interior angles

Step-by-step explanation:

1. 0.04

2. 0.15

i just finished that assignment for properties of probability distributions.

i hope this is what you were looking for!

Step-by-step explanation:

1. gradient=y2-y1/x2-x1

=21-9/-7-(-12)

=21-9/-7+12

=12/5

2.consider any two coordinates:

(13,32),(7,33)

gradient:

=33-32/7-13

=1/-5

Answer:

defenitely not reflection im thinking either a or b leaning more towards a tho

Step-by-step explanation:

Answer:

ROTATION

Step-by-step explanation:

I GOT IT CORRECT ON TEST :))

Answer:

Estimated amount of liquid in the pitcher = 39 ounces (Approx)

Step-by-step explanation:

Given:

Amount of water = 32 ounces

Amount of lemon juice = 7.15 ounces

Find:

Estimated amount of liquid in the pitcher

Computation:

Estimated amount of liquid in the pitcher = Amount of water + Amount of lemon juice

Estimated amount of liquid in the pitcher = 32 ounces + 7.15 ounces

Estimated amount of liquid in the pitcher = 39.15 ounces

Estimated amount of liquid in the pitcher = 39 ounces (Approx)

If the mean number of people who attended three basketball games was 8,242, that means the sum of the number of people who attended all three games is equal to 8,242 multiplied by the number of games, which is 3.

What does math mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Total attendance = mean attendance * number of games

Total attendance = 8,242 * 3

Total attendance = 24,726

So the total attendance at the three games is 24,726 people.

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Answer:

Refer to the attachment

The Trigonometric function that can be used to find the value of x is; x = 12/tan(25)

The triangle given is a right triangle and the angle given is 25°.

The side opposite the given angle is; 12 units.

Hence, it follows from Trigonometry that;

Hence, x = 12/tan(25).

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Answer:

SAS, because vertical angles are congruent.

96 square ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

250 for place  4 for books each.

If they charge 14 per person, 4 of that goes for the books and 10 will be applied to the rental fee.

250/10= 25 people to break even. Any people beyond that  is a profit of 10.00 since the other 4 will still go to the books.

Etta needs to add the source of the information to better arrange these notes.

A note is a place where information about a specific item is recorded for later reference. The main goals of taking notes are to promote active learning and create study materials for tests. You should be able to organise material into an understandable format that will aid in your learning process by developing note-taking skills.

As a result, it is clear from the question that Etta is making notes for the purpose of creating a webpage about healthy eating. Once her notes have been organised with the relevant facts and information, Etta will need to cite her sources.

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