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Diano4ka-milaya [45]
3 years ago
11

If f(x) = x-1/3 and g(x) = 3x+1 what is (fog)(x)

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

if you meant  f(x) = (x - 1) /3    then   f (g(x) ) = x

of if you meant  f(x) = x - (1/3) then  f(g (x)) =   3x + 2/3

Step-by-step explanation:

f(x) = x-1/3 and g(x) = 3x+1 what is (fog)(x)

f ( g(x) ) =  (3x + 1)  - (1/3) =   3x  + 2/3

Or

if you meant  f(x) = (x - 1) /3    then   f (g(x) ) = x

of if you meant  f(x) = x - (1/3) then  f(g (x)) =   3x + 2/3

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The larger of two numbers is 12 more than the smaller number. if the sum of the two numbers is 74 find the two numbers.
STatiana [176]
Hi there!

Let th' two number be ' a ' and ' b ' [ a > b ]

According to th' question :-

→ The largest of two numbers is 12 more than the smaller number.

a = 12 + b ---(i)

→ Sum of the two numbers is 74.

a + b = 74

b = 74 - a ---(ii)

Substitute th' value of ' b in Eqn. :-

a = 12 + (74 - a)

a = 86 - a

a + a = 86

2a = 86

a = \dfrac {86}{2} = 43

Now,
Substitute th' value of ' a ' in Eqn. (ii)

b = 74 - b

b = 74 - 43

b = 31

Hence,
The required answer is :-

• The smaller number is 31
• The largest number is 43

~ Hope it helps!

7 0
3 years ago
Read 2 more answers
Show your solution follow the steps need an answer, please need an answer, please.​
STatiana [176]

Answer:

Step-by-step explanation:

27 ) 2x² - x - 1 = 0

2x² - 2x +  x  - 1 = 0

2x ( x - 1) + (x - 1) = 0

(x - 1)(2x + 1) = 0

x - 1 = 0  ; 2x + 1 = 0

x = 1   ;     2x = -1

                  x = -1/2

x = 1 ; -1/2

Option b

28) Area of a rectangle = 24 cm²

length * width = 24

(3x +2 )(2x -1) = 24

3x(2x -1) + 2(2x - 1) = 24

3x *2x - 3x *1 + 2*2x - 2*1 = 24

6x² -3x + 4x - 2= 24

6x² + x - 2 -24 = 0

6x² + x - 26 = 0

6x² -12x + 13x - 26 = 0

6x(x - 2) + 13(x - 2) = 0

(x -2)(6x +13) = 0

x = 2      {Ignore 6x + 13 as it gives negative value}

length = 3x + 2 = 3*2 + 2 = 6 + 2 = 8 cm

Width  = 2x - 1 = 2*2 - 1 = 4 - 1 = 3 cm

29) Area of square = 900 cm²

Side² = 900

(5x)² = 900

25x² = 900

x² = 900/25

x² = 36

x = √36 = √6*6

x = 6 cm

30) base = b cm

height = b + 2

Area of triangle =  24 cm²

\dfrac{1}{2}base*height = 24\\\\\dfrac{1}{2}*b*(b+2) = 24\\

b(b + 2) = 24*2

b² + 2b = 48

b² + 2b - 48 = 0

b²  - 6b + 8b  - 48 = 0

b(b - 6) + 8(b - 6) = 0

(b - 6) (b + 8) = 0

b - 6 = 0    {Ignore b +8 = 0 as it gives negative value}

b = 6 cm

height = 6+ 2 = 8 cm

5 0
3 years ago
Jenny is having a party. She has one
seropon [69]
2 .............:)
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4 0
3 years ago
Help plz I NEED IT Help help hjelp
DaniilM [7]

Answer:

12

Step-by-step explanation:

12 because that's how many dots/vertices are shown(sorry if im wrong)

6 0
2 years ago
Read 2 more answers
Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 4, 7, 9, 12, ...​
sesenic [268]

Answer:

no

Step-by-step explanation:

the sum of 4+7+9+12=32

32/4= 8

8 is not part of the sequence. Therefore its not arithmetic.

6 0
3 years ago
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