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3 years ago

What is the difference in simplest terms of 3/4 - 1/3

Mathematics

1 answer:

GuDViN [60]3 years ago

6 0

Answer:

5/12

Step-by-step explanation:

can't be anymore simplified, it already is

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How do u plot the points from the equation y=-2x+1 and y=3x-1

malfutka [58]

Just plot on the y and x axis
It shows the points so just plot :)

6 0

3 years ago

How do I solve this equation? 3|13-2t|=15

Nikolay [14]

$3 |13 - 2t | =15$ ⇒ $|13-2t| = 15\div3$ ⇒ $\boxed {|13-2t| = 5}$

$\hbox {We have two equations : 1. } |13-2t|=5$
$2.|13-2t|=-5$

$\hbox{The first: }$ ⇒ $13-2t=5$ ⇒ $2t=13-5$ ⇒ $2t=8$ ⇒ $\boxed {t=4}$

$\hbox { The second: } 13-2t=-5$ ⇒ $2t=13-(-5)=18$ ⇒ $\boxed {t=9}$

5 0

3 years ago

Read 2 more answers

(x+1) - 4 How do i determine the roots

irga5000 [103]

<h2>Solution:</h2>

To find the zero,

x + 1 - 4 = 0

x = 4 - 1

x = 3

3 is the root of (x + 1) - 4.

4 0

3 years ago

Given that f(x)=2x+3 and g(x)=x-6, what is the composition f(g(1))?

Tresset [83]

Answer:

D/0

Step-by-step explanation:

the domain of (g o f )(x) is "all x > 0".

8 0

2 years ago

NO LINKS!!! What is the transformation f(x)= x^3:

Mama L [17]

Answer:

4. Horizontal shrink by a factor of ¹/₅

5. Left 5, Up 5

6. Right 5, Down 5

Step-by-step explanation:

Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

Transformations

For a > 0

$f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}$

$f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}$

$f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}$

$f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}$

$y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a$

$y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}$

$y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}$

$y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}$

Identify the transformations that take the parent function to the given function.

Question 4

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(5x)^3$

Comparing the parent function with the given function, we can see that the x-value of the parent function has been multiplied by 5.

Therefore, the transformation is:

$y=f(5x) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{5}$

As a > 1, the transformation visually is a compression in the x-direction, so we can also say: Horizontal shrink by a factor of ¹/₅

Question 5

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(x+5)^3+5$

Comparing the parent function with the given function, we can see that there are a series of transformations:

Step 1

5 has been added to the x-value of the parent function.

$f(x+5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units left}$

Step 2

5 has then been added to function.

$f(x+5)+5 \implies f(x+5) \: \textsf{translated}\:5\:\textsf{units up}$

Transformation: Left 5, Up 5

Question 6

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(x-5)^3-5$

Comparing the parent function with the given function, we can see that there are a series of transformations:

Step 1

5 has been subtracted from the x-value of the parent function.

$f(x-5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units right}$

Step 2

5 has then been subtracted from function.

$f(x-5)-5 \implies f(x-5) \: \textsf{translated}\:5\:\textsf{units down}$

Transformation: Right 5, Down 5

Learn more about graph transformations here:

brainly.com/question/27845947

6 0

2 years ago

Read 2 more answers