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umka21 [38]
2 years ago
13

Domain:___ Range:___ Function:___

Mathematics
1 answer:
Scilla [17]2 years ago
8 0

Answer:

Domain: {-4,-2,1,3}

Range: {3,2,-1,-5}

Function: (-4,-5);(-2,-1);(-2,3);(1,2);(3,-1)

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WHAT IS X³-27 SIMPLIFIED
Eduardwww [97]

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>(</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>)</u><u>³</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u>(</u><u>3</u><u> </u><u>-</u><u> </u><u>x</u><u>)</u>

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

=  {x}^{3}  -  {3}^{3}

From trinomial expansion:

{(x - y)}^{3}  = (x - y)(x - y)(x - y) \\

open first two brackets to get a quadratic equation:

{(x - y)}^{3}  = ( {x}^{2}  - 2xy +  {y}^{2} )(x - y)

expand further:

{(x - y)}^{3}  =  {x}^{3}   - y {x}^{2}  - 2y {x}^{2}  + 2x {y}^{2}  + x {y}^{2}  -  {y}^{3}  \\  {(x - y)}^{3}  =  {x}^{3}  -  {y}^{3}  + 3x {y}^{2}  - 3y {x}^{2}  \\  {(x - y)}^{3}  =  {x}^{3}  -  {y}^{3}  + 3xy(y - x) \\  \\ { \boxed{( {x}^{3} -  {y}^{3} ) =  {(x - y)}^{3}   - 3xy(y - x)}}

take y to be 3, then substitute:

( {x}^{3}  - 3^3) =  {(x - 3)}^{3}  - 9x(3 - x)

5 0
3 years ago
The entrance fee to the national park is $15. The campsite fee is $25 per night.
lisabon 2012 [21]

Answer:

Step-by-step explanation:

a.) y = 25x + 15

b.) y is the total cost x is the amount of nights stayed 15 is the entrance fee and 25 is the cost per night

i.) x is the amount of nights stayed y is the total cost

ii.) slope (or m) is 25 y-intercept is 15

c.) plug in 3 for x

y = 25(3) + 15

y = 75 + 15

y = 90

its $90 for 3 nights

hope this helps <3

8 0
2 years ago
What is 2 over seven times five over six?
sukhopar [10]
In its exact form 5/21



5 0
3 years ago
Read 2 more answers
Of 960 pages 384 had an add. What's the probability it contains an add
kramer
384/960
Thus, answer=2/5
4 0
3 years ago
Final grades are often computed using weighted averages. For example, Fran's teacher uses the following: homework 10%, quizzes 2
STALIN [3.7K]

The final grade of fran can be calculated by multiplying the corresponding percentage of his average homework, quizzes and tests, then sum it up and it is now the final grade of fran.

Final grade = (0.10 x 92) + ( 0.20 x 68) + (0.70 x 81)

<span>Final grade = 79.5 </span>

8 0
3 years ago
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