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Marizza181 [45]
2 years ago
7

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

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Please help with this Math Question...
Nataly [62]

Answer: A

<u>Step-by-step explanation:</u>

f(x) = x³ + 4x² + 7x + 6

possible rational roots are ±{1, 2, 3, 6}

Try x = -2

-2 |   1   4   7   6

   <u>|   ↓  -2  -4  -6</u>

       1    2    3   0 ← remainder is 0 so x = -2 is a root  ⇒  (x + 2) = 0

The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.

a=1, b=2, c=3

x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\dfrac{-(2)\pm\sqrt{(2)^2-4(1)(3)} }{2(1)}

x=\dfrac{-2\pm\sqrt{4-12} }{2}

x=\dfrac{-2\pm\sqrt{-8} }{2}

x=\dfrac{-2\pm2i\sqrt{2}}{2}

x = -1 \pm i\sqrt{2}

x = -1 + i\sqrt{2}       x = -1 - i\sqrt{2}

x - (-1 + i\sqrt{2})=0       x - (-1 - i\sqrt{2})=0

The factors are:

(x - 2)[x - (-1 + i\sqrt{2})][x - (-1 - i\sqrt{2})]




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On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negat
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Answer:

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Step-by-step explanation:

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A coffee seller makes a salary of $3,500 per month plus a $12 commission for every $100 of coffee he sells. A case of coffee cos
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45x+10y+50=?<br> PLZ HELP ASAP DUE TODAY!
Viktor [21]

Answer:

5(9x + 2y + 10)

or

x = 0

y = -5

Step-by-step explanation:

If you are just factoring this, you will factor a 5 out from everything.

5(9x + 2y + 10)

or if you are trying to solve just isolate one of the variables and then substitute it into the original equation

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10y = 50 - 45x

y = 5 - 4.5x

45x + 10(5-4.5x) + 50

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x=0

45(0) + 10y + 50

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and it would be x = 0 and y = -5

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