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slava [35]
3 years ago
11

Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable..

Mathematics
2 answers:
Vesna [10]3 years ago
4 0
The answer is 12/x-7, x ≠ 7, x ≠ −3
Softa [21]3 years ago
3 0
To simplify the expression stated, it is better to write it in the numerical form. The statement is:

<span>quantity 12 x plus 36 over quantity x squared minus 4 x minus 21

The numerical form is:

12x+36 / (x</span>²-4x-21)

Simplifying,
12x+36 / (x<span>²-4x-21)
</span>12 (x+3) / (x+3)(x-7)

We can cancel the x+3 term, leaving only:
12/(x-<span>7)</span>
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7 0
3 years ago
If the function f(x) = -1/2x - 7 were graphed, which of the following would be true?
Fittoniya [83]
ANSWER

D. As the x-values increase, the y-values would decrease

EXPLANATION

The given function is
y =  -  \frac{1}{2} x - 7


The slope of this function is
m =  -  \frac{1}{2}

Since the slope is negative, there is a negative or an inverse relationship between x and y.

As the values of x increases, the values of y decreases.

Also, as the values of x decreases, the values of y increases.

The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.

For instance, when
x =  - 40
y =  -  \frac{1}{2} ( - 40) - 7


This implies that,

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Options B is obviously not true because the function has a negative relationship between x and y.


Option C is also false because, x can be positive since it is the independent variable.

See graph



Therefore, the correct answer is option D.




5 0
3 years ago
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