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Sveta_85 [38]
3 years ago
14

If f(x) = 2x^2 +1 and g(x) = 3x-2 what is the value of f(g(x))

Mathematics
1 answer:
Tcecarenko [31]3 years ago
3 0

Answer:

18x² - 24x + 9

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f3x - 2)

= 2(3x - 2)²+ 1 ← expand factor using FOIL

= 2(9x² - 12x + 4) + 1 ← distribute parenthesis by 2

= 18x² - 24x + 8 + 1

= 18x² - 24x + 9

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A coffee mug is 16 fl oz. How many qts are needed to fill 26 mugs
MrMuchimi


1 quart = 32 ounces



She will need 13 quarts <span>of coffee.</span>
3 0
3 years ago
The smallest natural number divisible by 2,3,4,5,6,8 and 9 is____.
SVETLANKA909090 [29]

Answer:

360

Step-by-step explanation:

You will need 2 * 2 * 2 for the smallest number to be divisible by 8 with all the others.

You will need 3 * 3  for the smallest number to be divisible by 9 with all the others.

Finally you will need 1 five

The smallest number divisible by all of these is 2*2*2*3*3*5 = 360

  • 360/2 = 180 works
  • 360/3 = 120 works
  • 360/5 = 72   works
  • 360/6 = 60 works
  • 360/8 = 45 works
  • 360/9 = 40 works.

There is no smaller number below 360 which will work.

7 0
3 years ago
3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount,
Inessa [10]
(a) 3x=4(x-2.25) (or simplified: 3x=4x-9)

(b) 3x=4x-9
0=x-9
x=$9

(c) 3x9=27
4x9=36
36-9=27
and 27=27 therefore they spent the same and it is correct

(d) Tanya's items cost $9 each and Tony's items cost $2.25 less than this, or $6.75
3 0
3 years ago
1/3 of a number decreased by 13 equals 45
mezya [45]

Answer:

174

Step-by-step explanation:

45+13=58

58*3

6 0
3 years ago
What is 4(3.2d - 10) simplified
Levart [38]

Answer:

12.8d - 40

Step-by-step explanation:

Distributive property: Multiply the outside number with each of the numbers in the paranthesis.

FOLLOW - PEMDAS

Another way:

(4 • 3.2d) - (4 • 10)

(12.8d) - (40)

12.8d - 40

5 0
3 years ago
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