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3 years ago

(a-12)x = a+8 in the equation to the left, a is a constant. if the equation has no solutions, what is the value of a?

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

Answer:

<h2>The value of a is 12.</h2>

Step-by-step explanation:

The equation is given by (a - 12)x = a + 8.

In order to get the solution of the equation, that is the value of x, the above equation is needs to be divided by a - 12. (a - 12) will be in the denominator.

The solution can not be found, if the value of a - 12 will be 0, that is a = 12.

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Values for the area A of the rectangle shown are 12 ≤ A ≤ 36.

Step2247 [10]

A compound inequality is used to combined multiple inequalities.

The compound inequality is: $12 \le 6x \le 36$ .
The solution to the compound inequality is: $2 \le x \le 6$

We have:

$12 \le A \le 36$

$Length = 2x$

$Width = 3$

The area of the rectangle is:

$A = Length \times Width$

So, we have:

$A =2x \times 3$

$A = 6x$

Substitute 6x for A in $12 \le A \le 36$

$12 \le 6x \le 36$

Divide through by 6

$2 \le x \le 6$

Hence,

The compound inequality is: $12 \le 6x \le 36$ .
The solution to the compound inequality is: $2 \le x \le 6$

Read more about compound inequalities at:

brainly.com/question/17957246

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Three times the sum of b and f, can also be written as:

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3(b+f) you just do the sum and times it by 3

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