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Lapatulllka [165]
2 years ago
7

Slove system of equation. 2x - 6y = 8 -3x + 9y = 12

Mathematics
1 answer:
Bond [772]2 years ago
7 0
Answers:

2x - 6y = 8 -> x = 4 + 3y

-3x + 9y = 12 -> x = -4 + 3y
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PLEASE HELP!!!!!!!! (ALGEBRA II)
qwelly [4]

Answer:

-4     4     4.5     8     20.5     32

Step-by-step explanation:

f$ \circ  $ g(x) = f(g(x))

Given,   f(x) = 2x²

and       g(x) = x - 2

Now f(g(x)) = f(x - 2) = 2(x - 2)²

We know that (a - b)² = a² - b² + 2ab

Using this we expand f(g(x)). We get:

                        f(g(x)) = 2{x² - 4x + 4}

Similarly,        g(f(x)) = g(2x²) = 2x² - 2

Now, f(g(-2))    = 2[(-2)² - 4(-2) + 4]     = 2(16)                           = 32.

Also, g(f(-2))   = 2[(-2)² - 2]                = 2(2)                             = 4.

f(g(3.5))  = 2{(3.5)² -4(3.5) + 4} = 2[12.25 - 14 + 4] = 2(2.25)    = 4.5.

g(f(3.5))  = 2{(3.5)² -2} = 2{12.25 - 2}                     = 2(10.25)   = 20.5.

f(g(0))     = 2{0 - 4(0) + 4}  = 2(4)                                               =  8.

g(f(0))     = 2{0 - 2}                         = 2(-2)                                 = -4.

Arranging them in ascending order, we get:

-4     4     4.5     8     20.5     32 would be the sequence.

5 0
3 years ago
Integrate [0, 1/2] xcos(pi*x).
elena-14-01-66 [18.8K]
To answer your question, this could be the possible answer and i hope you understand and interpret it correctly:
<span>[Integrate [0, 1/2] xcos(pi*x
let u=x so that du=dx
 and v=intgral cos (xpi)dx
        v=(1/pi)sin(pi*x)
 integration by parts
uv-itgral[0,1/2]vdu just plug ins
 (1/pi)sinpi*x]-(1/pi)itgrlsin(pi*x)dx from 0 to 1/2
(1/pi)x sinpi*x - (1/pi)[-(1/pi) cos pi*x] from 0 to 1/2
 =(1/2pi)+(1/pi^2)[cos pi*x/2-cos 0]
=1/2pi - 1/2pi^2
=(pi-2)/2pi^2 ans</span>
3 0
3 years ago
Simplify fully <br>2/(5x)+2x/3<br>​
lara31 [8.8K]

Answer:

16x / 15

Step-by-step explanation:

2/5x + 2x/3

6x - 10x /15

16x / 15

7 0
3 years ago
How many ways are there for a horse race with four horses to finish if ties are possible?
trasher [3.6K]
<span>1. 4 horses tie for 1st place
2. 3 horses tie for 1st place and 1 comes in 2nd place
3. 2 horses tie for 1st place and 2 tie for 2nd place
4. 2 horses tie for 1st place, 1 horse comes in 2nd and 1 comes in 3rd
5. 1 horse comes in 1st and 3 horses tie for 2nd place
6. 1 horse comes in 1st, 2 tie for 2nd place, and 1 comes in 3rd place
7. 1 horse comes in 1st, 1 comes in 2nd, and 2 tie for 3rd place.
8. 1 horse comes in 1st, 1 comes in 2nd, 1 comes in 3rd, and 1 comes in 4th.

</span>75.

Hope this helps.
6 0
3 years ago
Solve 4(-2x + 7) = 24 for x
tamaranim1 [39]

Answer:

x = 1/2

Step-by-step explanation:

brainlest please

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*(-2*x+7)-(24)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 4 • (7 - 2x) -  24  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  4 - 8x  =   -4 • (2x - 1)

Equation at the end of step  3  :

 -4 • (2x - 1)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    -4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    2x-1 = 0

Add  1  to both sides of the equation :

                     2x = 1

Divide both sides of the equation by 2:

                    x = 1/2

6 0
3 years ago
Read 2 more answers
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