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Korolek [52]
4 years ago
8

Evaluate the indicated function for f(x)=x^2-7 and g(x) =x-2

Mathematics
1 answer:
enyata [817]4 years ago
7 0

Answer:

f(g(x))=(x-2)^2 - 7

(x-2)(x-2) - 7

x^2-2x-2x+4-7

x^2-4x-3

g(f(x))=x^2-2-7

x^2-9

(x+3)(x-3)

Step-by-step explanation:

  1. to solve for f(x), replace x with the g(x).
  2. since we don't multiply a bracket with the negative or the positive signs to the
  3. exponent, you have to factor into two binomials.
  4. use the FOIL method to eliminate the brackets.
  5. add like-terms

  • to find g(x), replace x with the f(x).
  • add like-terms
  • since there's difference of square, factor them into two binomials
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3 years ago
9x+2y-27z=-155 -11x-y+37z=208 19x+6y-52z=-304
Paladinen [302]

Answer:

(x,y,z)=( -2, -1 ,5)

Step-by-step explanation:

9x+2y-27z=-155                                                        (1)

-11x-y+37z=208                                                        (2)

19x+6y-52z=-304                                                     (3)

(1) *3   ;(2) *6     ;(3)*1, you have

27x+6y-81z=-465                                                      (1)

-66x-6y+222z=1248                                                 (2)

19z+6y-52z=-304                                                      (3)


(1) +(2), you have

-39x+141z= 783                                                       (4)

(4) /3, you have

-13x +47z=261                                                          (4)


(2) +(3), you have

-47x+170z=944                                                       (5)


From ( 4) and (5), you have equations

-13x +47z=261                                                         (4)

 -47x+170z=944                                                       (5)


(4)*(-47);    (5)*13,  you have

611x-2209z=-12,267                                              (4)

-611x+2210z=12,272                                              (5)


(4)+(5), you have

z=5

Replace z=5 in (4), you have

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3 0
3 years ago
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Step-by-step explanation:

5 0
2 years ago
PLEASE HELP!! 18 POINTS
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3 years ago
Evan uses some of his comic-book money to buy a magazine for $4. If Evan's uncle gave him $30, what fraction of this money did h
DochEvi [55]

Answer:

2/15 fraction of money is spend to buy magazine.

Step-by-step explanation:

Total Money given by Evan's uncle = $30

Money spent by Evan to buy magazine = $4

Fraction of money spend on magazine =  Money spent by Evan to buy magazine  ÷ Total Money given by Evan's uncle

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Hence 2/15 fraction of money is spend to buy magazine.

lets check our answer.

2/15  of Total Money given by Evan's uncle = (2/15 )× 30 = 2 × 2 = 4

so $4 represents  2/15  of $30 , hence our solution is correct .




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