All categories

2 years ago

Which equation represents a linear function? y – 2 = –5(x – 2) x 7 = –4(x 8) y – 3 = y(x 4) y 9 = x(x – 1).

Mathematics

1 answer:

REY [17]2 years ago

3 0

To solve such problems we need to know about the Linear function.

<h2 /><h2>Given to us</h2>

A.) y – 2 = –5(x – 2)

B.) x + 7 = –4(x + 8)

C.) y – 3 = y(x + 4)

D.) y + 9 = x(x – 1)

<h2>Linear function</h2>

A linear function is a function that is in the form of y=mx+c. thus we will check which functions are in this form, to know that a function is linear or not.

A.) y – 2 = –5(x – 2)

$y-2=-5(x-2)\\y-2= -5x+10\\y = -5x+10+2\\y = -5x+12$

As we can that the function is in the form of y=mx+c. therefore, the function is a linear function.

B.) x + 7 = –4(x + 8)

$x+7 = -4(x+8)\\x+7 = -4x-32\\4x + x = -32-7\\5x = -39$

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

C.) y – 3 = y(x + 4)

$y-3=y(x+4)\\y-3=yx+4y\\$

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

D.) y + 9 = x(x – 1)

$y+9 = x(x-1)\\y+9 = x^2 -x\\$

As we can that the function is not in the form of y=mx+c. therefore, the function is a non-linear function.

Learn more about Linear function:

brainly.com/question/14165558

You might be interested in

48 cookies; 25% decrease how do I do it?????

Harrizon [31]

Step One: Find 25% of 48.
Step Two: Subtract that number from 48.

48 * 0.25 = 12
48 - 12 = 36

36 cookies

4 0

2 years ago

Please Help!!! I will give Brainliest to the correct answer!!

Rudiy27

Answer:

A. NO

B. NO

C. YES

D. YES

E. NO

F. NO

Step-by-step explanation:

7 0

2 years ago

Pleaseeeeeee help mee

BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

<u><em>verification </em></u>:-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

4 0

2 years ago

a rectangular prism measures 2 in by 4 in by 8 in what is the side length of a cube with the same volume

Umnica [9.8K]

<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ First find the volume of the rectangular prism:

2 x 4 x 8 = 64

Now you need to cube root it, this would be because all lengths of a cube are equal:

$\sqrt[3]{64} = 4$

The side length would be 4 inches.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0

3 years ago

I need to find the limit

Digiron [165]

For $x=\dfrac{1}{2}$ the function is undefined.

$\displaystyle
\lim_{x\to\tfrac{1}{2}^-} x\sec (\pi x)=\infty\\
\lim_{x\to\tfrac{1}{2}^+} x\sec (\pi x)=-\infty\\\\
\lim_{x\to\tfrac{1}{2}^-}x\sec (\pi x)\not = \lim_{x\to\tfrac{1}{2}^+}x\sec (\pi x)
$
So, the limit doesn't exist.

8 0

2 years ago