Wich ordered pair makes both inequalities true
Y>-2x+3

Y<_ x-2

Answer:

x=3/5 or 0.6

Step-by-step explanation:

Take into account:

x = speed of the airplane

y = speed of the air

consider that the product in between time and speed is equal to the distance traveled in the time.

Then, if the airplane took 3 hours complete 600 miles, agaist the wind, you have that the distance traveled by the airplane is 3x without wind. The speed of the wind decelerates the airplane. The "distance traveled by the wind is 3y"

Then, when you subtract the previous terms you obtain:

3x - 3y = 600 factorize 3 left side

3(x - y) = 600

Option B, C, and D do not match the equivalent system of equations we derived. Hence, the correct answer is A) 2x + 4y = 4, -x + y = 1.

To find an equivalent system of equations for the given system:

2x + 4y = 4

−5x + 5y = 5

We can start by manipulating the second equation to make the coefficients of x in both equations the same. Let's multiply the second equation by 2:

2(−5x + 5y) = 2(5)

This simplifies to:

-10x + 10y = 10

Now we have:

2x + 4y = 4

-10x + 10y = 10

Next, we can simplify the equations by dividing both sides of the second equation by 10:

-10x/10 + 10y/10 = 10/10

This simplifies to:

-x + y = 1

Now we have:

2x + 4y = 4

-x + y = 1

We have obtained an equivalent system of equations where the coefficients of x in both equations are the same. Therefore, the correct answer is:

A) 2x + 4y = 4

  -x + y = 1

Option B, C, and D do not match the equivalent system of equations we derived. Hence, the correct answer is A) 2x + 4y = 4, -x + y = 1.

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Answer:

b. 8 inches wide and 25 inches long

Step-by-step explanation:

Here are the options

5 inches wide and 25 inches long

b. 8 inches wide and 25 inches long

c. 15 inches wide and 15 inches long

d 15 inches wide and 25 inches long

Area of a rectangle = length x width

10 x 20 = 200

first option

5 x 25 = 125 does not have the same area as the one lanu drew

second option

8 x 25 = 200 has  the same area as the one lanu drew

third option

15 x 15 = 225 does not have the same area as the one lanu drew

fourth option

15 x 25 = 375 does not have the same area as the one lanu drew

The equation of the line tangent to the graph of f(x)=3sin(x)−2cos(x) at x=−π is given by; \(y=-150(x+\pi)+3\)

Explanation: The formula for the line tangent to a curve y=f(x) at the point (x0,f(x0)) is given by \(y-f(x_0)=f'(x_0)(x-x_0)\)

where f'(x) is the derivative of the function f(x) and evaluates to f'(x)=3cos(x)+2sin(x).

Hence the line tangent to the curve f(x)=3sin(x)−2cos(x)

at x=−π can be written as:

\(y-f(-\pi)=f'(-\pi)(x+\pi)\)\(y+2

                 =f'(-\pi)(x+\pi)\)

Now, \(f'(-\pi)=-3\)since \(f'(-\pi)

                         =3cos(-\pi)+2sin(-\pi)

                         =-3\)

Thus, \(y+2=-3(x+\pi)\)

Solving for y;\(y=-3(x+\pi)-2\)

Expanding, \(y=-3x-3\pi-2\)

Finally, rearranging the terms; \(y=-3x-3\pi+2\)

Simplifying, \(y=-3(x+\pi)+3\)

Multiplying through by -50 gives; \(y=-150(x+\pi)+150\)

Hence the equation of the line tangent to the graph of f(x)=3sin(x)−2cos(x) at x=−π is given by;\(y=-150(x+\pi)+3\)

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Answer:

L=62.5 W=12.5

Step-by-step explanation:

L=5W

150=2W+2(5W)

75=W+5W

75=6W

W=12.5

12.5×5=62.5

62.5+62.5+12.5+12.5=150

Answer:

210

Step-by-step explanation:

1: Part/whole=%/100

2: 100-5=95

3: 3150/30=$105 uniforms.

Answer: $210

Hope this helps.

Answer:

Solution in photo

Step-by-step explanation:

Answer:

x = 19, ARC MP = 104º

Step-by-step explanation:

9x-43 = 5x+33

4x = 76

x = 19

Arc MP = 360 - (9x-43 + 5x+33)

Arc MP = 360 - (9(19)-43 + 5(19)+33)

= 360 - 256

MP = 104º

Answer:

\({ \boxed{ \mathfrak{ \: answer : }}} \\ { \rm{2x + 3 {y}^{2} - 2(x - {y}^{2}) }} \\ = { \rm{2x + 3 {y}^{2} - 2x + 2 {y}^{2} }} \\ = { \rm{(2x - 2x) + (3 {y}^{2} + 2 {y}^{2} ) }} \\ \\ = { \underline{ \rm{ \: 5 {y}^{2} \: }}}\)

Answer:

5y²

Step-by-step explanation:

2x+3y²-2(x-y²)=2x+3y²-2x+2y²

=2x-2x+3y²+2y²

=5y²

Answer:

line of symmetry

Line rotation

Answer:

360

Step-by-step explanation:

To find the unit vectors parallel to the tangent line to the parabola \(y = x^2\)at the point (3, 9),  to find the derivative of the function \(y = x^2\) and evaluate it at x = 3 to find the slope of the tangent line at that point.

Find the derivative of \(y = x^2:\) We differentiate \(y = x^2\) with respect to x using the power rule for derivatives:

\(dy/dx = 2x\)

Evaluate the derivative at x = 3:

Substitute x = 3 into the derivative:

dy/dx = 2(3) = 6

This means that the slope of the tangent line to the parabola \(y = x^2\) at the point (3, 9) is 6. Find the unit vector in the direction of the tangent line:

The direction of the tangent line is given by the slope, which is 6. To find the unit vector in that direction, we divide the slope vector by its magnitude.

The slope vector is <1, 6> (where 1 represents the change in x and 6 represents the change in y for a unit change in x).

The magnitude of the slope vector is calculated as follows:

magnitude = \(sqrt(1^2 + 6^2) = sqrt(1 + 36) = sqrt(37)\)

To obtain the unit vector, we divide the slope vector by its magnitude:

unit vector =\(< 1/sqrt(37), 6/sqrt(37) >\)

So, the unit vectors that are parallel to the tangent line to the parabola\(y = x^2\)at the point (3, 9) are <1/sqrt(37), 6/sqrt(37)> and <-1/sqrt(37), -6/sqrt(37)>, as both vectors have the same direction but opposite orientation.

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The probability that they play at least three games is 16/25. This means that on average, they will need to play 25/16 = 1.56 games until Joe wins.

To solve this problem, we need to consider the different scenarios that could occur when playing the game repeatedly until Joe wins a game. Let's start by calculating the probability that Joe wins in one game.

Since any one of the five players is equally likely to win, the probability that Joe wins in one game is 1/5. Therefore, the probability that he does not win in one game is 4/5.

Now, let's consider the different scenarios that could occur in multiple games until Joe wins. If Joe wins in the first game, then they only play one game, and the probability that they play at least three games is zero. If Joe does not win in the first game, they need to play at least one more game.

If Joe wins in the second game, then they have played two games, and the probability that they play at least three games is zero. However, if Joe does not win in the second game, they need to play at least one more game.

If Joe wins in the third game, then they have played three games, and the probability that they play at least three games is one. If Joe does not win in the third game, they need to play at least one more game.

We can see a pattern emerging here. The probability that they play at least three games is only non-zero if Joe does not win in the first two games. In this case, they must continue playing until Joe wins a game, and this will take at least three games.

The probability that Joe does not win in the first two games is (4/5) x (4/5) = 16/25. Therefore, the probability that they play at least three games is 16/25.

However, it's important to note that this is just an average, and they could play more or fewer games depending on the outcomes of each individual game.

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The probability of randomly drawing a chip number that is smaller than 201 is 0.541

The given parameters are

Plastic chips = 1 to 370

This means that

Chips = 370

There are 200 sections that are smaller than 201

This means that the probability is

P = 200/370

Evaluate

P = 0.541

Hence, the probability of randomly drawing a chip number that is smaller than 201 is 0.541

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Answer:

So i actually had the same question last year and a friendo sent me the answer its not mine originally so please dont give me brainliest but i hope this helps you, just like it helped me

Step-by-step explanation:

Answer:

14. Three points tat are not collinear

Three points that are not colinear consist of a line and a third point, therefore, joining all three points form a flat figure having a length and a width which is a two-dimensional flat figure or a plane

15. A line and a point not lying on the line

Like the example above, the joining of the points results in a two dimensional figure having a length and a width also known as a planar surface

16. Two lines which intersect at a point

Given two lines that intersect at a point, joining the other end point of the two lines results in the forming of a flat figure, that can be described in two dimensions also known as a planar surface or plane

Step-by-step explanation:

A plane in mathematics is a flat surface that has only two dimensions and extends infinitely in all directions

Answer:  -14

Step-by-step explanation:

The multiplicative inverse is the reciprocal of the number.

1/(-1/14) = -14

Answer:

-14

Step-by-step explanation:

one of the multiplicative inverses is the also the reciprocal of the number -14

Answer:

735

Step-by-step explanation:

7 * 5 * 21 = 735 outfits

The woman can create 735 outfits.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

To find the total number of outfits that can be created, we need to multiply the number of options for each item.

For each blouse, there are 5 options for a skirt, and 21 options for a pair of shoes.

So, the total number of outfits can be calculated as:

7 blouses x 5 skirts x 21 pairs of shoes = 735

Therefore, the woman can create 735 outfits.

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Answer:

The answer is "\(\bold{\frac{1}{3} \ n^2 (n - 1) \ units^3}\)"

Step-by-step explanation:

Please find the complete question in the attachment file.

The volume of a pyramid: \(V=\frac{1}{3} (\text{base area}) \times (\text{height})\)

In the question if:

\(Area= n^2 \ units^2 \\\\height= (n-1) \ units\\\)  

apply the value in the volume formula:

\(V=\frac{1}{3}\ n^2 \ units \times (n-1) \ units^2\\\\\)

   \(= \frac{1}{3}\ n^2 \times (n-1) \ units^3\\\\ = \frac{1}{3}\ n^2 (n-1) \ units^3\\\\\)

Answer:

option C). 1/3^2(n − 1) units3

Step-by-step explanation:

just took test

The Poisson distribution is applied to events where the probability of occurrence of a certain number of events in a fixed interval of time, space, or distance is small but not necessarily "very small". False.

The Poisson distribution is used to model events that occur randomly and independently over a continuous or discrete interval of time, space, or distance, such as the number of phone calls received at a call center in an hour, the number of cars passing through a toll booth in a given time period, or the number of emails received per day. The Poisson distribution is characterized by a discrete probability mass function that describes the probability of a certain number of events occurring in a given interval, and it is widely used in probability theory and statistics for modeling events with low to moderate occurrence rates.

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The poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.

Given statement is False.

Because, The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is not necessarily very small, but rather where the events occur randomly and independently at a constant average rate.

The Poisson distribution models the number of events that occur in a fixed time interval or within a certain area or volume of space, assuming that the events occur independently of each other and at a constant average rate. It is used in many fields, such as biology, physics, economics, and engineering, to model the occurrence of rare or common events.

The Poisson distribution has several important properties, including:

Its mean is equal to λ, and its variance is also equal to λ.

It is a discrete distribution, meaning that it models only whole numbers of events.

It is often used to model rare or unusual events, but can also be used for events that occur frequently, as long as they occur independently at a constant average rate.

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Answer:

b<11=board is shorter then

b>11=more then 11 books

b<12=fewer then 12

b>12=taller then 12

Hope This Helps!!!

Answer:

16%

Step-by-step explanation:

To calculate this we first need to calculate the probability of Mario scoring for every individual shot that he takes. Since he makes 2 goals for every 5 shots on average, we simply divide these numbers to get the probability of a goal per shot.

2 / 5 = 0.4  ...multiply by 100 to get percentage value

0.40 * 100 = 40%

We see that the probability of scoring a goal per shot is 40%. Now we need to multiply this probability twice to get the probability of scoring 2 consecutive goals in two shots.

0.40 * 0.40 = 0.16  ... multiply by 100 to get percentage value

0.16 * 100 = 16%

Answer:

16%

Step-by-step explanation:

I know that 2/5 = 0.4 or 40%

and 0.4 x 0.4 = 0.16

or 16%

basically what the other one said, without words

Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.

Answer:

y = 2x + 3  → Gradient / slope = 2 → Y - intercept = 3

y = -3x + 3 → Gradient / slope = -3 → Y - intercept = 3

Step-by-step explanation:

y = mx + c

This is the standard way an equation of a line is written. The 'm' of the line is the slope/gradient and the 'c' is the y - intercept. You can find the x-intercept by making y = 0. When the questions asks you to find the gradient you should never put 'x' after it only the number so

y = 2x + 3

Gradient / slope = 2

Y - intercept = 3

y = -3x + 3

Gradient / slope = -3

Y - intercept = 3

Answer:

Hello!

You have to find the probabilities of these happening

To pick Mike the first time is a 1 /4 chance

To pick Tom after Mike is a 1 / 3 chance since you picked mike

To pick Chris after Tom is a 1 / 2 chance since there are only two friends left

To find the probability of these happening in a row you multiply them

1/4 * 1/3 * 1/2 = 1/24

The answer is 1/24

Hope this helps!

-Brinks

The center of the circle is (4, 0).  The radius is √50. The equation of the circle is (x - 4)² + y² = 25. The correct option is a.

To find the equation of a circle, we need the center and radius. The center of the circle is the midpoint of the diameter, which can be found by averaging the x-coordinates and the y-coordinates of the endpoints.

Midpoint formula:

Midpoint(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Let's calculate the midpoint using the given endpoints (3, -7) and (5, 7):

Midpoint(x, y) = ((3 + 5) / 2, (-7 + 7) / 2)

= (8 / 2, 0 / 2)

= (4, 0)

So, the center of the circle is (4, 0).

Next, we need to find the radius, which is the distance between the center and one of the endpoints. We can use the distance formula to calculate this distance.

Distance formula:

Distance = √((x2 - x1)² + (y2 - y1)²)

Using the center (4, 0) and one endpoint (3, -7):

Distance = √((3 - 4)² + (-7 - 0)²)

= √((-1)² + (-7)²)

= √(1 + 49)

= √50

So, the radius is √50.

Now we have the center (4, 0) and the radius √50. We can write the equation of the circle in the form (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Substituting the values, we get:

(x - 4)² + (y - 0)² = (√50)²

(x - 4)² + y² = 50

Therefore, the equation of the circle is: a. (x - 4)² + y² = 25

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Solve for dy/dx:   dy/dx = (-2x) / (2y) = -x / y which gives the slope of tangent line using implicit differentiation

To find the slope of a tangent line using implicit differentiation, follow these steps:

1. Start with the given equation that represents the relationship between x and y in the form of an equation involving both variables, for example: F(x, y) = 0.

2. Differentiate both sides of the equation with respect to x using the chain rule whenever necessary. Treat y as a function of x and apply the derivative rules accordingly.

3. After differentiating, have a resulting equation involving both x, y, and their derivatives (dy/dx). Rearrange the equation if necessary to isolate dy/dx on one side.

4. Solve for dy/dx to find the derivative of y with respect to x. This will give the slope of the tangent line at any given point on the curve defined by the implicit equation.

Note: The resulting expression for dy/dx may involve both x and y variables. To find the slope of the tangent line at a specific point, substitute the coordinates of that point into the expression for dy/dx.

Here's an example to illustrate the process:

Given the implicit equation: \(x^2 + y^2 = 25\)

1. Start with the equation: \(x^2 + y^2 = 25.\)

2. Differentiate both sides with respect to x:

  2x + 2y * (dy/dx) = 0

3. Rearrange the equation to isolate dy/dx:

  2y * (dy/dx) = -2x

4. Solve for dy/dx:

  dy/dx = (-2x) / (2y)

         = -x / y

Now, have the expression for the slope of the tangent line in terms of x and y. To find the slope at a specific point, substitute the coordinates of that point into the expression.

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