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3 years ago

What is 8(c-9)=6(2c-12)-4c? Solve for c. Please show your work.

Mathematics

1 answer:

Dafna11 [192]3 years ago

4 0

Answer:

c= ℝ

Step-by-step explanation:

8(c-9)=6(2c-12)-4c

Distribute left side.

8*c+8*-9=6(2c-12)-4c

8c-72=6(2c-12)-4c

Distribte right side.

8c-72=6*2c+6*-12-4c

8c-72=12c-72-4c

Combine like terms.

8c-72=8c-72

Since the two sides are exactly the same, this means that any number for c will satisfy the equation.

Therefore, c= ℝ (all real numbers)

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Step-by-step explanation:

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3 years ago

What are the restrictions for a? 2a^2+a-15/5a^2+16a+3

koban [17]

ANSWER

The restrictions are

$a\ne -3,a\ne -\frac{1}{5}$

EXPLANATION

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$\frac{2a^2+a-15}{5a^2+16a+3}$

The function is defined for all values of a, except

$5a^2+16a+3=0$

This has become a quadratic trinomial, so we need to split the middle term.

We do that by multiplying the coefficient of $x^2$ which is 5 by the constant term which is 3. This gives us 15.

The factors of 15 that adds up to 16 are 1 and 15.

We use these factors to split the middle term.

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We now factor to get,

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We factor further to get,

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This implies that,

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Step-by-step explanation:

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Step-by-step explanation:

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4 years ago

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