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2 years ago

Give a number that is not in the domain of f(x) = √3x-6

1 answer:

5 0

Any number that is less than 2 will work. It is impossible to find the square root of a negative number (you can only get imaginary number) since anything square is a positive number.
PS. If you are confused by the answer, just ask me.

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Which transformation, when performed on the triangle ABC, will result in the transformed figure A'B'C being similar but NOT cong

Gnoma [55]

Answer:

b. a dilation by a scale factor of 2

Step-by-step explanation:

Which transformation, when performed on the triangle ABC, will result in the transformed figure

A'B'C' being similar but NOT congruent to the original triangle?

a. a reflection over the x-axis

b. a dilation by a scale factor of 2

C.a translation two units to the right

d. a rotation 90° clockwise about the origin

Solution:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Rigid transformation are transformation that preserves the size and shape of a figure. Examples of rigid transformation are reflection, translation and rotation.

Dilation preserves the shape but not the size of a figure.

If translation, rotation or reflection is done on triangle ABC, the transformed figure would be congruent to the original triangle. But, if dilation is done, the transformed figure would be similar but NOT congruent to the original triangle.

8 0

3 years ago

Several ordered pairs from a continuous exponential function are shown in the table.

Sunny_sXe [5.5K]

Answer:

The domain is {x : x ∈ R} , the range is {y : y > 0}

Step-by-step explanation:

* Lets explain how to solve the problem

- The general form of the continuous exponential function is

$y=a(e)^{kx}$ where a is the initial value and k is the growth factor

- We have some ordered pairs from the continuous exponential

function

- The ordered pairs are:

(0 , 4) , (1 , 5) , (2 , 6.25) , (3 , 7.8125)

- Lets substitute the values of x and y in the equation to find a , $e^{k}$

∵ $y=a(e)^{kx}$

∵ x = 0 and y = 4 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ $4=a(e)^{k(0)}$

∴ $4=a(e)^{0}$

- The value of $e^{0}$ = 1

∴ a = 4

- Substitute the value of a in the equation

∴ $y=4(e)^{kx}$

∵ x = 1 and y = 5 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ $5=4(e)^{k(1)}$

∴ $5=4(e)^{k}$

- Divide both sides by 4

∴ $e^{k}$ = 1.25

- Substitute the value of $e^{k}$ in the equation

∴ $y=4(1.25)^{x}$

- The domain of the function is all the values of x which make the

function defines

- The range is the values of y corresponding to x

∵ There is no value of x makes the function undefined

∴ The domain is all real numbers

∵ y never takes a negative value

∴ The range is all the real positive numbers

* The domain is {x : x ∈ R} , the range is {y : y > 0}

4 0

2 years ago

Read 2 more answers

What’s the percentage?

sdas [7]

Answer:

66%

Step-by-step explanation:

66 out of 100 (66/100) of the grid is shaded, which is 66%

7 0

3 years ago

HELP ME PLEASE :( FASSSSTTT

ipn [44]

Answer:

4 and -5 for the first one

-5 and -5 for the second

5 and -4 for the third

-4 and 5 for the fourth

7 0

2 years ago

Read 2 more answers

What two inequalities do you get with the absolute value inequality shown below

Setler [38]

Answer:

1st answer

Step-by-step explanation:

x is great than 10 in the question, even if x was negative, the absolute value would still be great than 10 if it says its greater than 10. x is greater than 10 and -10.

8 0

3 years ago