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3 years ago

Write the quadratic equation in general quadratic form below 3x^2 + 6x = 12

Mathematics

2 answers:

scZoUnD [109]3 years ago

5 0

Answer: $3x^{2}+6x-12=0$

Step-by-step explanation:

By definition a quadratic equation in general quadratic form is:

$ax^{2}+bx+c=0$

Therefore, to write the equation given in the problem above in in general quadratic form, you only need to subtract 12 from both sides of the equation.

Keeping this on mind, you obtain:

$3x^{2}+6x-12=12-12\\3x^{2}+6x-12=0$

Ilya [14]3 years ago

5 0

Answer:

3x²+6x-12 = 0

Step-by-step explanation:

We have given a quadratic equation.

3x²+ 6x = 12

We have to rewrite above equation in general quadratic equation.

The general form of quadratic equation is:

ax²+bx+c = 0 where a,b and c are constant.

Adding -12 to both sides of given equation, we have

3x²+6x+(-12) = 12+(-12)

3x²+6x-12 = 12-12

3x²+6x-12 = 0 is general form of quadratic equation where a = 3,b = 6 and c = -12.

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Read 2 more answers

Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa

Anni [7]

Answer:

1. $\( f\circ g(x)=0.05x-150$

2. $\( g\circ f(x)=0.05x-3000$

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

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

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

f(x) = 0.05x
g(x) = x - 3000

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

2. The composition of the function

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

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

$g(f(x))=((0.05x)-3000)=0.05x-3000$

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

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3 years ago