Question

Simplify x + 7 / x^2 + 4x - 21 (This is a fraction)

Answer choices - 1/x-3; where x does not equal 3.-7

x - 3; where x does not equal 3

1/x-7; where x does not eaul 7

x-7



Do the data in the table represent a direct varation or an inverse varition? writie an equation to model the data in the table

1|3|4|7|
5|15|20|35

Direct; y = 1/5x
inverse; xy = 5
direct; y = 5x
inverse; xy = 1/5


What are the excluded values of the funcation? y = 5/6x-72 (this is a fraction

answer choice - x = 0
x= 12
x=72
x=11

Answer 1

You should try the first one yourself
These are usually done by factoring, as you can see in my other replies to your previous questions.

For this one, look at the numerator of x+7
It has disappeared in all the choices of answers.
That should give you a hint that it probably canceled.
So factor the bottom, knowing that one of the factors more than likely was x+7
Let me know what you got

#2. As a general rule, if y increased as x increases or if y decreases as x decreases you might be looking at a direct variation

If y increases as x decreases, or vice versa, you might be looking at an inverse variation.

If you first row are the x's : 1 3 4 7
and the 2nd row are the y's : 5 15 20 35
notice that the corresponding y is 1/5 of the x
do we have a direct variation of y = (1/5)x

#3, we cannot divide by zero.
So which value or values make our denominator zero?
that becomes your restriction.

btw, looking at your answers the question should have said:
y = 5/(6x-72)

Answer 2

for number 2, i thought it was y = 5x because if you multiply 5 by any of the numbers in the x colum, it equal y

Answer 3

Also for number 3, could you further explan, are you saying the answer is zero?

Answer 4

As for number one, is the answer 1/x-3 where x does not equal 3,7

Answer 5

#1
(x + 7)/(x^2 + 4x - 21)
= (x+7)/((x+7)(x-3))
= 1/(x-3) , x ≠ -7, 3

you had 7, but that would make the denominator 14 , which is perfectly ok to divide by

Hint:
take the denomiator and solve it for zero.
Whatever the solution, that x becomes the restricted value


And for #2 you are absolutely correct, the equation is indeed

y = 5x

#3, the 6x - 72 ≠ 0
6x ≠ 72
x ≠ 12
So x = 12 is the "excluded" value

Answer 6

just give a simple answer ur wasting ur time by putting all this unnecessary wording