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Aloiza [94]
3 years ago
12

3x+17+15x=7x+10 what is the solution to this

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

i belive that x= -7

Step-by-step explanation:

.......

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HELP ASAP PLZ i need help !<br>help me :((
kodGreya [7K]

Answer:

(1) g[f(x)]=\frac{8x-1}{12x-4}

(2)  g^{-1}(x)=\frac{x+1}{(3x-2)}

(3)    x=\frac{9+\sqrt{129} }{6},  \frac{9-\sqrt{129} }{6}

Step-by-step explanation:

Given functions f(x) = (4x-1)

are                     g(x)=\frac{2x+1}{3x-1}

(1)  g[f(x)]=\frac{2(4x-1)+1}{3(4x-1)-1}

                =\frac{8x-2+1}{12x-3-1}

                =\frac{8x-1}{12x-4}

(2) for g^{-1}(x), rewrite the function g(x) in terms of an equation

y=\frac{2x+1}{3x-1}

Substitute y in place of x and x in place of y, then solve for y.

x=\frac{2y+1}{3y-1}

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

3xy - x = 2y + 1

3xy - 2y = x + 1

y(3x-2) = x + 1

y=(\frac{x+1}{3x-2} )

⇒ g^{-1}(x)=\frac{x+1}{(3x-2)}

(3)    f[g(x)]=(x-1)

       f[g(x)]=4[\frac{2x+1}{3x-1}] =(x-1)

⇒    \frac{(8x+4)-(3x-1)}{3x-1}=(x-1)

⇒    \frac{8x-3x+4+1}{3x-1}=(x-1)

⇒    \frac{5x+5}{(3x-1)}=(x-1)

⇒    5x+5=(3x-1)(x-1)

⇒    5x+5=3x^2-3x-x+1

⇒   5x+5=3x^2-4x+1

⇒   3x^2-9x-4=0

⇒    x=\frac{9\pm\sqrt{(-9)^2-4(-4)\times3} }{2\times3}

   x=\frac{9\pm\sqrt{81+48} }{6}

   x=\frac{9\pm\sqrt{129} }{6}

   x=\frac{9+\sqrt{129} }{6},  \frac{9-\sqrt{129} }{6}

4 0
3 years ago
2 hundredths + 6 hundredths = ________ hundredths?
IRISSAK [1]

Answer:

8 hundredths

Step-by-step explanation:

2 + 6 = 8

8 0
3 years ago
Funique513<br> tt<br> insta<br> twitter<br> follow for points I follow back too
hichkok12 [17]
I couldn’t find you on Inst. M’I missing something?
3 0
3 years ago
Read 2 more answers
Please help‼️‼️
love history [14]

Answer:

The answer is 2,300

Step-by-step explanation:

I = 2000 x .05 x 3 = $300

total amount = 2000 + 300 = $2300

7 0
3 years ago
Help please and thank you
Akimi4 [234]
-6×-6=36
f-34=36
34+36=70
f=70
7 0
3 years ago
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