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3 years ago

HELP PLEASE IM GONNA FAIL21. Identify as a function or not a Function

Mathematics

1 answer:

Vladimir [108]3 years ago

5 0

Answer:

First one: function

Second one: not a function

Step-by-step explanation:

A function is a relationship where each input has it's own unique output. If an input has more than one output then the relationship is not a function

For the first one no x value repeats meaning each input has it's own output therefore it is a function

For the second one the x value 8 has more than 1 output therefore the second one is not a function

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Solve | x + 6| - 7 = 8

Alex

Answer:

x = 9,-21

Step-by-step explanation:

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Cancel absolute sign and add plus-minus to 15:

$\displaystyle \large{x+6=\pm 15}$

Transport 6 to subtract ±15:

$\displaystyle \large{x=\pm 15-6}$

Consider:

$\displaystyle \large{x= 15-6}$ or $\displaystyle \large{x = -15-6}$

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x = 9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Second Method

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Absolute Function Property:

$\displaystyle \large{|x-a| = \begin{cases} x-a \ \ (x \geq a) \\ -x+a \ \ (x < a) \end{cases}}$

Consider both intervals:

When x ≥ a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{x+6=15}$

Transport 6 to subtract 15:

$\displaystyle \large{x=15-6}\\\displaystyle \large{x=9}$

When x < a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{-(x+6)=15}\\\displaystyle \large{-x-6=15}$

Transport -6 to add 15:

$\displaystyle \large{-x=15+6}\\\displaystyle \large{-x=21}$

Transport negative sign to 21:

$\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Let me know if you have any questions regarding this question, my answer or explanation. Hope this answer and explanation helps you and good luck with your assignment!

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2 years ago

A tree casts a 242 centimeters shadow. A person next to the tree casts a 89 centimeter shadow. If the person is 181 centimeters

defon

Answer:

150 centimeters

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3 years ago

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Jason is pulling a box across the room. He is pulling with a force of 11 newtons and his arm is making a 37 angle with the horiz

MissTica

Force=10N

Angle=37

Vertical componenets:-

$\\ \sf\longmapsto Fsin\theta$

$\\ \sf\longmapsto 10sin38$

$\\ \sf\longmapsto 10(0.6)$

$\\ \sf\longmapsto 6N$

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3 years ago

A book store contains 75,972 books, divided in three sections: Science, Business, and Math.

Artyom0805 [142]

The answer is 12,662 books in the math section.

Since the science section represents 1/3 of the total books, divide 75,972 by 3.

75,972 ÷ 3 = 25,324 books in the science section.

Now, subtract 25,324 science books from the total number of books.

75,972 - 25,324 = 50,648 remaining books.

Divide the remaining books by 4 and then multiply by 3.

50,648 ÷ 4 = 12,662 • 3 = 37,986 business books.

Add the science books and business books together.

25,324 + 37,986 = 63,310 science and business books.

Subtract 63,310 from 75,972.

75,972 - 63,310 = 12,662 books in the math section.

Hope I helped!

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3 years ago

7.2÷(6.6×1.1+(2.2) to the second power-3.1)

Hoochie [10]

Answer:

0.98001931 is your answer : >

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4 years ago

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HELP PLEASE IM GONNA FAIL21. Identify as a function or not a Function ​

HELP PLEASE IM GONNA FAIL21. Identify as a function or not a Function