Eva bought a car for $21,000. one year later the value is $16,000. what is percent decrease in the value of the car?

Consider the following theorem and proof.Theorem: The number âš2 is not rational number.Proof: Let's suppose âš2 is a rational n

ololo11 [35]

Answer:

The statement "Both of the numbers a and b cannot be even." is justified by the fact that a/b is simplified lowest terms

Step-by-step explanation:

We need to show that the √2 is an irrational number.

And from the given steps of proof stated in the question, we need to find the assumption that justifies the fact : " Both of the number a and b cannot be even".

First take the given options :

Option a : √2 is a rational number

√2 being an rational or irrational has no relation of a and b to be even or odd. So, this option is rejected.

Option B : a/b is simplified lowest terms

This shows that a and b are not even because if a and b are even then a/b can be simplified in other lowest term.

Option c : √2 is a irrational number

Similarly, By using the inverse part of Option A, option c is also rejected.

Option d : The fact that b divides a evenly

This only shows that the a is even. This does not give any idea about b is even or not. So option D is also rejected.

Option E : The fact that a and b are whole numbers

This fact does not imply that the a and b are even or odd. So option E is also rejected.

Hence, The statement "Both of the numbers a and b cannot be even." is justified by the fact that a/b is simplified lowest terms

7 0

3 years ago

The given triangles are similar. Solve for x.

Maru [420]

The first one is 21.93 rounded up to 22.

8 0

3 years ago

Which of the expressions are equivalent to the one below? 7x(6+3)

frosja888 [35]

A. Is the answer
Hope this helped :)

5 0

3 years ago

Mrs.smells math class has 20 questions worth 100 points. if the multiple choice are worth 3 points and the short answer is worth

andreyandreev [35.5K]

Let, Number of multiple choice = x
Number of short answer question = y

Now, x + y = 20
& 3x + 11y = 100

Multiply 1st equation by 3, and subtract from eq,2,
3x + 3y = 60
After subtraction,
8y = 40
y = 40/8
y = 5

Now, substitute in eq (1),
x + 5 = 20
x = 15

In short, There are 15 Multiple choice & 5 short answer questions

Hope this helps!

4 0

3 years ago

If the parent function is fx) = x^3 which transformed function is shown in the graph?

34kurt

Answer:

g(x) = (x-3)³ is the transformed function.

Step-by-step explanation:

Horizontal shift:

If f(x) is the parent function.

Then horizontal shift can be expressed as:

, will shift left units.

$y = f(x - c)$ , will shift $f(x)$ right c units.

Given the parent function

f(x) = x³

From the graph, it is clear that the transformed function is indicating that the parent function has been horizontally shifted right 3 units.

Therefore, according to the rule, $y = f(x - c)$ :

g(x) = (x-3)³ is the transformed function.

From the graph,

The Red graph indicates the parent function i.e. f(x) = x³

The Blue graph indicates the transformed function i.e. g(x) = (x-3)³

It is clear that the blue graph is obtained when the parent function has been horizontally shifted right 3 units.

Therefore, g(x) = (x-3)³ is the transformed function.

6 0

3 years ago