What does the expression n+3 represent??

Roberto will roll a number cube and flip a coin. The faces of the number cube are labeled 1 through 6. The coin can land on head

Lyrx [107]

Answer: There are 3 even numbers on the cube. There are 2 sides to a coin. there is a 1/2 chance of the cube landing on an even number. There is a 1/2 chance of the coin landing on tails.

There is a 1/4 chance of these events occurring together.

6 0

3 years ago

Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : $R_{90} (x,y)=(-y,x)$

5. Rotation of 180° : $R_{180} (x,y)=(-x,-y)$ .

6. Rotation of 270° : $R_{180} (x,y)=(y,-x)$ .

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is $R_{90} (x,y)=(-y,x)$ .

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is $R_{180} (x,y)=(-x,-y)$ .

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is $R_{180} (x,y)=(y,-x)$ .

5 0

3 years ago

It takes 9 builders 54 days to complete a house.

Dima020 [189]

It would take $6$ builders $36$ days to complete the same house.

<h3>Who are builders?</h3>

Builders are those person whose job is to build or repair houses and other buildings.

We have,

$9$ builders take $54$ days to complete a house.

So,

$1$ builder will take $(\frac{54}{9})$ days to complete a house,

In the same way,

$6$ builder will take $(\frac{54}{9}*6)$ days to complete a house,

i.e.

$6$ builder $=(\frac{54}{9}*6)= 36$ days.

Hence, we can say that it would take $6$ builders $36$ days to complete the same house.

To know more about builders and work click here

brainly.com/question/16924313

#SPJ2

5 0

2 years ago

Read 2 more answers

Reflectional symmetry is the quality a design has if it maintains all

stiks02 [169]

I think the answer is b

8 0

3 years ago

A kite is flying 12 ft off the ground. Its line is pulled taut and casts an 8 -ft shadow. Find the length of the line. If necess

LenKa [72]

Answer

14.4 ft~

Step-by-step explanation

A kite is flying 12 feet off the ground, therefore the height is 12 (assuming the line is tied to the ground if a person is holding the line then the height would be less)

Assuming the sun is positioned in such a way that the shadow represents a horizontal distance. Horizontal distance of shadow = 8

Use Pythagoras Theorem

Where a^2 + b^2 = c^2

8^2 + 12^2 = 208

Square root 208 = 14.4~

~ Hoodini, here to help :)

6 0

3 years ago