MATHEMATICS MIDDLE SCHOOL

When working with rational expressions, restricted values are values of your variable that results in an undefined rational expression. Given the following rational expressions: 2x+4/x^2−x−6 and 2/x−3 Determine whether the rational expressions are equivalent and explain your answer. Determine the values that would make the rational expressions undefined. Are these values the same or different? Explain.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

2x+4 / x^2-x-6

= 2(x+2)/(x-3)(x+2)

= 2/(x-3)

So the 2 expressions are equivalent

The values of x which make the expressions undefined are those values which make the denominators 0

For 2x+4/ x^2-x-6 they are X=3 and x= -2.

For 2/x-3 they are x =3.

Related Questions

Explain how you know that the values of the digit 5 in the numbers 150,000 and 100,500 are not the same.
you have some money. your friend has $50 less. Write an expression in simplest form that represents the total amount of money you and your friend have
A metric unit of measuring length that equal to 10 meters is called a
Explain how you would decide which unit is best for measuring your math book?
Which expression is equivalent to (2x + 4)2 − (2x2 + 6)?

You are building a birdhouse that will have a volume of 128 in^3. the birdhouse will have the dimensions shown a. write a polynomial that represents the volume of the birdhouse

b. what are the dimensions of the birdhouse ?

show your work please

Answers

$a.\nV-the\ volume\n\nV(w)=4\cdot w\cdot (w+4)=4w^2+16w\ [in^3]\n\nb.\nV=128\ in^3\ \ \ \Rightarrow\ \ \ 4w^2+16w=128\ \ \ \Rightarrow\ \ \ 4w^2+16w-128=0\ /:4\n\nw^2+4w-32=0\n\nw^2+4w+4-36=0\ \ \ \Leftrightarrow\ \ \ (w+2)^2=36\n\nw+2=6\ \ \ \ \ or\ \ \ \ \ w+2=-6\n\nw=4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ w=-8\ \ \ \ (and\ \ \ w>0)\n\nw=4\ \ \ \Rightarrow\ \ \ w+4=8\n\nAns.\ the\ dimensions\ of\ the\ birdhouse:\ \ 4\ in,\ 4\ in,\ 8 \ in$

Answer: Dimensions are 4 in, 4 in, 8 in

Hope this helped

A total of 12 students on the Jones Middle School volleyball team want to raise $480 to buy team shirts. They have already raised $264. If each student raises the same amount, how much more money must each student raise?a. $18
b. $22
c. $40
d. $62

Answers

Answer is c $40 because 12x40=480

Answer:

Step-by-step explanation:

12x40 = 480

PLEASE HELP! Answer quickly for points!! There are 5 times as many tomato plants as there are cucumber plants. The number of pepper plants is 7 more than the sum as tomato and cucumber plants. There are 19 pepper plants in the garden. How many tomato plants are there. How many cucumber plants are there?

Answers

let x= cucumber plants
5x= tomato plants
6x+7= pepper plants
peppers = 19
therefore
6x+7=19
subtract 7 from both sides
6x= 12
divide both sides by 6
x=2
replace the x with 2

2= cucumber plants
10= tomato plants

hope this helps

How do I find the area of a triangle?