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vampirchik [111]

3 years ago

6

Mrs. Lin had two dozen pencils. She gave them to four students and asked them to share equally among them. How many pencils shou

ld each student get?

2 answers:

Vlad1618 [11]3 years ago

4 0

Answer:

Each student should get 6 pencils.

Step-by-step explanation:

2 dozen = 24

24/4 = 6

Mice21 [21]3 years ago

3 0

Answer:

6 pencils each

Step-by-step explanation:

2 dozen = 24

24/4 = 6

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Describe how to transform the graph of g(x)= ln x into the graph of f(x)= ln (3-x) -2.

Strike441 [17]

Answer:

The graph of g(x) = ㏑x translated 3 units to the right and then reflected

about the y-axis and then translated 2 units down to form the graph of

f(x) = ㏑(3 - x) - 2

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

function g(x) = f(-x)

- If the function f(x) translated horizontally to the right

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down

by k units, then the new function g(x) = f(x) – k

* lets solve the problem

∵ Graph of g(x) = ㏑x is transformed into graph of f(x) = ㏑(3 - x) - 2

- ㏑x becomes ㏑(3 - x)

∵ ㏑(3 - x) = ㏑(-x + 3)

- Take (-) as a common factor

∴ ㏑(-x + 3) = ㏑[-(x - 3)]

∵ x changed to x - 3

∴ The function g(x) translated 3 units to the right

∵ There is (-) out the bracket (x - 3) that means we change the sign

of x then we will reflect the function about the y-axis

∴ g(x) translated 3 units to the right and then reflected about the

y-axis

∵ g(x) changed to f(x) = ㏑(3 - x) - 2

∵ We subtract 2 from g(x) after horizontal translation and reflection

about y-axis

∴ We translate g(x) 2 units down

∴ g(x) translated 3 units to the right and then reflected about the

y-axis and then translated 2 units down

* The graph of g(x) = ㏑x translated 3 units to the right and then

reflected about the y-axis and then translated 2 units down to

form the graph of f(x) = ㏑(3 - x) - 2

7 0

3 years ago

Read 2 more answers

Use counting to determine the whole number that corresponds to the cardinality of these sets:______. (a) A= (xl x € Nand 20.<

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

Cardinality of a set is defined as number of element in a set. It is represented as n(X) where X is any set.

a) Given the set A =(x l x € N and 20.< x<27). According to the set, the set contains the values of natural numbers between 20 and 27. The values are 21, 22, 23, 24, 25 and 26

A = (21, 22, 23, 24, 25, 26)

According to the set A, it can be seen that there are 6 elements in the set, <em>this means n(A) = 6.</em>

b) Given B=(x | xeN and x+1=x)

Since natural numbers starts from 1, the first element in the set is 2 i.e 1+1

The elements of the set B = (2, 3, 4, 4...)

<em>The number of whole number in the set is therefore infinite. </em>

c) For the set C={x l xe N and (x- 1)(x - 9) = 0)

We need to get the root of the equation (x- 1)(x - 9) = 0

x-1 = 0 and x-9 = 0

x = 1 and x = 9

Hence the element C = (1,9)

<em>The number of whole number in the set is n(C) = 2</em>

d) D={xlx E N, H X 5 100, and x is divisible by both 5 and 8)

Given the value of x between 5 and 100, the values of x divisible by 5 = (10, 15, 20, 25, 30, 35, 40, 45, 50 , 55, 60 , 65, 70, 75, 80 85, 90, 95)

values of x divisible by 8 = (16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96)

<em>The total number of elements in both set = 29 i.e n(D) = 29 </em>

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3 years ago

How do you graph y=3x-2

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Answer:

The graph should look almost exactly like this. I used a virtual graphing chart to assist, since it is capable of showing more than paper alone.

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2 years ago

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Write a fraction with a denominator of 9. The fraction should be less than half

uysha [10]

Answer:

The only fraction i can think of is 2/9

Step-by-step explanation:

6 0

3 years ago

Find the slant height x of the pyramid shown, to the nearest tenth.<br> 5 mm<br> 9 mm<br> 9 mm

MArishka [77]

The slant height of the pyramid can be calculated using Pythagoras theorem. Therefore, the slant height is 6.7 mm

<h3>How to find slant height of a pyramid?</h3>

The slant height x, can be found using Pythagoras theorem,

Therefore,

c² = a² + b²

where

c = hypotenuse
a and b are other two legs.

Therefore,

x² = 4.5² + 5²

x² = 20.25 + 25

x² = 45.25

x = √45.25

x = 6.72681202354

x = 6.7 mm

learn more on pyramid here: brainly.com/question/11805304

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2 years ago