Which expression simplifies to
m-2
—— ?
m-1

The following operations are used to transform the quadratic equation y = x² into parabolas in standard form:

Case 1

Horizontal translation, vertical translation. Horizontal stretch.

Case 2

Horizontal translation, vertical translation. Reflection in the x-axis, vertical stretch.

Case 3

Horizontal translation, vertical translation. Horizontal stretch.

In this question we find three cases of parabolas in standard form, that is, quadratic equations of the form:

y - k = a · (x - h)²

Where:

This parabola is translated both horizontally and vertically by using the following definitions:

Horizontal translation

x → x - a, where a > 0 for rightward translation.

Vertical translation

y → y - b, where b > 0 for upward translation.

Horizontal dilation

f(x) → f(k · x), where k is a non-negative real number.

Vertical dilation

f(x) → k · f(x), where k is a non-negative real number.

Reflection in the x-axis

f(x) → - f(x)

The procedure is summarize below:

Finally, we summarize the procedure for each case:

Case 1

g(x) = x²

g(x) = [(1 / 2) · x²]

g(x) + 4 = [(1 / 2) · (x - 2)]²

Horizontal shift: 2 units right, vertical shift: 4 units down. Horizontal stretch.

Case 2

f(x) = x²

f(x) = - (1 / 2) · x²

f(x) - 2 = - (1 / 2) · (x - 4)²

Horizontal shift: 4 units right, vertical shift: 2 units down. Reflection in the x-axis, vertical stretch.

Case 3

h(x) = x²

h(x) = 2 · x²

h(x) - 5 = [2 · (x + 2)]²

Horizontal shift: 2 units left, vertical shift: 5 units up. Horizontal stretch.

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Answer:

a = 2 radical 19

Step-by-step explanation:

a^2 + 18^2 = 20^2

a^2 + 324 = 400

subtract 324 from both sides

a^2 = 76

square root both sides

a = radical 76

simplify radical to get 2 radical 19

Answer:

1:50

Step-by-step explanation:

The drawing's scale factor is

1:50

Explanation:

In drawing, width of the garage is 6 cm and in actual width of the garage is 3m or 3×100=300 cm.

Hence, the drawing's scale factor is 6:300 and dividing by 6, it is 1:50

Answer:

A opção 2. Para um número ser maior que -5,basta ele está mais perto do 0,na reta numérica.

Espero ter lhe ajudado!

The angle K for the Isosceles trapezoid is a supplementary angle to the angle J and the measure of angle K = 152°

This is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. The opposite angles are supplementary which implies they sum up to 180°.

angle J and angle M are base angles for the Isosceles trapezoid and are equal, so:

23x + 5 = 13x + 15

23x - 13x = 15 - 5 {collect like terms}

10x = 10 {divide through by 10}

x = 1

angle J = 23(1) + 5 = 28°

Angle K and angle J are supplementary so:

K = 180 - 28

K = 152°

Therefore, the measure of the angle K for the Isosceles trapezoid JKLM is equal to 152°

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Answer: k = 11

Step-by-step explanation:

[tex]\frac{11}{3k} = \frac{1}{3} \\\\[/tex]

Cross multiply:

[tex]11 * 3 = 1*3k[/tex]

[tex]33 = 3k[/tex]

[tex]k = 11[/tex]

Answer:

h can be any value.

Step-by-step explanation:

As long as each input as exactly one output, the value of h does not matter.

Answer:

3x-2y= -6

Step-by-step explanation:

change the sign on both lines in the equation

-3x-2y= 6

3x - 2y = - 6

Answer:

(-7,1)

Step-by-step explanation:

The vertex of a parabola is the maximum or minimum point on the graph. On this point, the maximum is at (-7,1).

Answer:

b

Step-by-step explanation:

From the four possible guesses listed below, for the Terrence the highest chance of success is selecting black or pink square tile and blue or green round tile.

In probability theory, the chain rule describes how to calculate the probability of the intersection of, not necessarily independent, events or the joint distribution of random variables respectively, using conditional probabilities.

For two events A and B, by chain rule, we have:

P(A∩B) = P(B) P(A|B) = P(A) P(B|A)

Here P(A|B) is probability of occurrence of A given that B already occurred.

here, we have,

Terrence is playing a game in which he will randomly select one square tile and one round tile from the tile sets shown below.

Before he does so, he tries to guess which tiles he will draw.

Square tiles: 12 blue, 20 yellow, 8 red, 6 green, 4 pink, 5 black, 3 brown, 2 white, total 60.

Round tiles: 9 black, 4 green, 3 yellow, 2 white, 6 blue, 12 red, total 36.

Here, the event of choosing round tile and square tile is independent to each other.

a. black or pink square tile and blue or green round tile

The chance of black or pink square tile and blue or green round tile is,

P_1 = 0.65

b. yellow square tile and yellow round tile

The chance of yellow square tile and yellow round tile is,

P_2 = 0.42

c. green, brown, or white square tile and black or white round tile

The chance of green, brown, or white square tile and black or white round tile is,

P_3 = 0.49

d. red square tile and red or white round tile

The chance of red square tile and red or white round tile is,

P_4 = 0.52

Thus, from the four possible guesses listed below, for the Terrence the highest chance of success is selecting black or pink square tile and blue or green round tile.

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Answer:

34625

Step-by-step explanation:

Coordinate (0,1) of y-intercept implies that a line or curve cross the Y axis

at 1.

The location of a point on the cartesian coordinate plane where a straight line or curve line as well as a plane crosses the Y axis is called Y-intercept. The coordinate of y-intercept is expressed as (0, y). This y value is y-intercept. The X coordinate of y intercept is zero.

In case of an equation of line while writing in slope-intercept form it is denoted by b such as y = mx+ b

in the above equation, b is y-intercept and m is the slope.

The y -intercept given by coordinate (0, 1) defines that a straight-line or curve line cross the Y axis at 1. The x coordinate of y -intercept is always zero because over the Y axis there is no value of X.

The y-intercept can have negative or positive value.

Suppose we have an equation of line 4x + 8y + 10 = 0

                                we will write it in a slope-intercept form

                                     8y = -4x - 10

                                     y = - 4x/8 - 10/8

                                    y = -1/2x - 5/4

In the above equation - 5/4 or -1.25 is the y-intercept that means the line crosses the Y-axis at -1.25

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Yes , you can join Wikipedia as a creator who can help maintain the platform and update the content from time to time. There are also different types of job roles which you can find for Wikipedia .

You can also simply just create an account and start contributing as a member of Wikipedia.

For this the first step would be to select an appropriate username, which will be unique , as this will be used to identify and differentiate you from others. Then you can start contributing to Wikipedia and other Wikimedia projects.

Communicate with other editors via your own talk page. You can also opt in to exchanging emails with other users and thus increase your community.

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[tex] \longmapsto \: 7x + 5x + 2x = 35820 \\ \\ x = \frac{35840}{14} = 2560[/tex] length equals to 7 into 2560 = 1792

Jasmine can buy a average of 4 binders because the cost of the binders, multiplied by the number of binders she wants to buy, plus the cost of the pens, must not exceed her total budget of $26.

Step 1: Define the variable. Let x represent the number of binders Jasmine can buy.

Step 2: Write the inequality. 5x + 4.75 ≤ 26

Step 3: Solve the inequality. 5x ≤ 21.25

Step 4: Isolate the variable. x ≤ 4.25

Step 5: The maximum number of binders Jasmine can buy is 4.

Let x represent the number of binders Jasmine can buy

5x + 4.75 ≤ 26

5x ≤ 21.25

x ≤ 4.25

Jasmine has a total of $26 to spend on binders and one pack of pens. The cost of the pens is $4.75, and each binder costs $5. To determine the maximum number of binders she can buy. The inequality we need to solve is 5x + 4.75 ≤ 26. We can solve this inequality by first multiplying both sides of the equation by 5, which gives us 5x ≤ 21.25. We can then isolate the variable by dividing both sides of the equation by 5, which gives us x ≤ 4.25. This means that the maximum number of binders Jasmine can buy is 4.

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The minimum  hours of daylight occur in January and December is the correct answer . The amount of daylight increases each month until it reaches a maximum mid-year. Therefore, option D is correct.

The reason behind this is the rotation and revolution of Earth around the sun. The more the sun is towards the North Pole  the shorter the day will be. On the equator, daylight will last generally for 12 hours as because sunlight falls directly on the equator

Therefore the shortest duration of daylight occurs in the month of December solstice when the North Pole is at its maximum distance from the Sun .

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Step-by-step explanation:

percentage of adults= number of adults over total number of persons times 100;

400/400+350*100

400/750*100

40/75*100

8/15*100

8/3*20

160/3

=53.3%

Answer:

C.

Step-by-step explanation:

If y=-3, then you substitute -3 into the equation every place that there is y, making it 4+(-3)/4(-3). This simplifies into 4-3/-12 which is 1/-12 or -1/12

Answer:

The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Answer:

64 times 7.5 and you will get your answer

Step-by-step explanation:

16*4=64

64*7.5=x

x is what you need to find

Best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake

Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0. 55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?

55 cupcakes per dollar

$0. 55 per cupcake

$4 per cupcake

c = 0. 55x

to determine the cost, c,

for x cupcakes.

CASE 1

55 cupcakes per dollar

therefor x = 55

c = 0. 55x

c = 0. 55 × 55

 = 30.25

case2

$0. 55 per cupcake

x = 1

c = 0. 55x

c = 0. 55 × 1

   =  0. 55

case 3

$4 per cupcake

x = 1

c = 0. 55x

c = 0. 55 × 1

   =  0. 55

therefor conclusion is best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake

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Answer:

150.8

Step-by-step explanation:

The formula for soving cylinder is V=Bh or V=πr2hmso if you plug that in you should get this answer like I did.

Answer:

the coordinates will be (0,9) (-8,0) and the equation will be y=(9/8x)+9

Step-by-step explanation:

Im not 100% sure but if im right please mark me as brainliest

Answer:

Volume of pyramid = [tex]1\frac{1}{3}[/tex] feet³

Step-by-step explanation:

Given:

Length of base = 2 feet

Width of base = 1 feet

Height of pyramid = 2 feet

Find:

Volume of pyramid

Computation:

Area of base = Length x Width

Area of base = 2 x 1

Area of base = 2 feet²

Volume of pyramid = (1/3)(A)(h)

Volume of pyramid = (1/3)(2)(2)

Volume of pyramid = (1/3)(4)

Volume of pyramid = 4/3

Volume of pyramid = [tex]1\frac{1}{3}[/tex] feet³

The first left turn, the value of d will be -1i, indicating that the robot is now facing north.

Value is the worth of something, which can be measured in terms of money, time or importance. It is something that is sought after and desired. Value can also be seen in terms of a person's character, morals, beliefs, and principles. It is an intangible concept that is difficult to quantify, but it is often sought after and is an important aspect of life. Value is what makes something worthwhile and irreplaceable.

The robot will need to be able to detect walls. As it moves through the maze, it will need to be able to detect when it is about to hit a wall. This can be done using sensors. The sensors should be able to detect the wall and the distance from the wall. This will allow the robot to turn in the correct direction and avoid hitting the wall.

The robot will also need to be able to detect when it has reached the end of the maze. This can be done by programming the robot to recognize when it has come to a dead end, or when it has reached a certain point in the maze. Once the robot has reached the end, it can then turn around and exit the maze.

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Answer:

Step-by-step explanation:

8x+18=2x+x+4x-3

8x+18=7x-3

perimeter = x+21

22/154=11/77=1/7

1/7 is the lowest form

Answer:

  ln(x²y⁵/(5z⁷))

Step-by-step explanation:

You want to condense the logarithmic expression 2 ln(x) + 5 ln(y) - 7 ln(z) - In (5).

The relevant rules of logarithms are ...

  a·ln(b) = ln(b^a)

  ln(ab) = ln(a) +ln(b)

  ln(a/b) = ln(a) -ln(b)

  [tex]2\ln{(x)}+5\ln{(y)}-7\ln{(z)}-\ln{(5)}=\boxed{\ln\left(\dfrac{x^2y^5}{5z^7}\right)}[/tex]

Answer:

your answer would be c.

hope this helps (ツ)