Answer: y=-6
Step by step explanation:
2y-2=-14
2y=-12 (move the negative 2 to the right)
y= -6 (divide both sides by 2)
Your equation is then y=-6
The values of x for which the rational expression is undefined are -6 and -8.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a rational function:

As we know in the rational function denominator cannot be zero:
The values of x for which the rational expression is undefined.
x² + 14x + 48 = 0


x = -6, -8
Thus, the values of x for which the rational expression is undefined are -6 and -8.
Learn more about the function here:
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Answer:
The unknown number is -6
Step-by-step explanation:
Let's start by writing the sentence in mathematical terms:
Since we don't know what that "number" is, we replace it with the letter "
". Then, <em>the quotient of that unknown number and three</em> can now be written as: 
"<em>Five less than the quotient of a number by three</em>", can then be written as the difference (where we are subtracting 5 from that quotient): 
The last part of the sentence tells us that the expression we just wrote in mathematical form "<em>is -7</em>." This in mathematical terms indicates "equals -7."
Therefore, we now have a mathematical equation (there is an equal sign in the expression) and we try to solve for the unknown number "
" in it:

We do such by isolating the x on one side of the equal sign. This process involves: first add 5 on both sides of the equation, and second:multiply both sides of the equation by 3 to get rid of the denominator under the unknown:

You have to use the different exponent rules you can search them up to see what you have to do