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choli [55]
3 years ago
14

Solve for x: 2/3=8/x+6

Mathematics
2 answers:
Tresset [83]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

2/3=8/x+6

Using cross products

2 * (x+6) = 3*8

2(x+6) = 24

Divide by 2

x+6 =12

Subtract 6

x = 6

strojnjashka [21]3 years ago
8 0

Answer:

x = -3/2

Step-by-step explanation:

To solve for x, we simply need to isolate x in the equation using properties of equations.  For this equation, we will use addition and multiplication properties.

(2/3) = (8/x) + 6

(2/3) + -6 = (8/x) + 6 + -6

(2/3) + -6 = (8/x)

(1/8) * [(2/3) + -6] = (8/x) * (1/8)

(1/8) * [(2/3) + -6] = (1/x)

(1/8) * [(2/3) + (-18/3)] = (1/x)

(1/8) * [-16/3] = (1/x)

(1 * -16) / (3 * 8) = (1/x)

(-2/3) = (1/x)

x * (-2/3) = (1/x) * x

(-2x/3) = 1

(-3/2) * (-2x/3) = 1 * (-3/2)

x = (-3/2)

x = -3/2

Cheers.

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The function, g(x), has a constant rate of change and will increase at a faster rate than the function f(x) for all the values of x.  

Given:

g(x) = 5/2 x -3 ..... (1)

f(x) = - 3.5 at x = 0

So, putting the value of x=0 in equation (1) for comparison. We get,

g(x) at x = 0

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In this value of x function g(x) is faster than function f(x) having a value equal to -3.5.

Similarly, put x = 1 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (1) - 3

=> g(x) = (5-6)/2

=> g(x) = -1/2

In this value of x function g(x) is faster than function f(x) having a value equal to -1.

Similarly, put x = 2 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (2) - 3

=> g(x) = (5-3)

=> g(x) = 2

In this value of x function g(x) is faster than function f(x) having a value equal to 1.5.

Similarly, put x = 3 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (3) - 3

=> g(x) = (15/2 - 3)

=> g(x) = 7.5 - 3

=> g(x) = 4.5

In this value of x function g(x) is faster than function f(x) having a value equal to 4.

Therefore, for all values of x function g(x) is faster than function f(x).

function f(x).

To learn more about the function visit: brainly.com/question/14996787

#SPJ1

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