Simplify the following rational expression.
X^2- 16x +64
———————
4x^2 -36x+32
Which values of I make the expression undefined?

Answers

Answer 1

9514 1404 393

Answer:

  (x-8)/(4x-4)  x ≠ 1 or 8

Step-by-step explanation:

Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.

  [tex]\dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}[/tex]

The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.


Related Questions

Help!!! I need help ASAP!!!

Answers

Answer:

The answer would be C.

Step-by-step explanation:

The formula for the area of a square is A=(3.14)r^2

Answer:

its A

Step-by-step explanation:

Find x where 2/3 of x added to 9 gives 30​

Answers

X = 39.5 2/3 of x is 29

Kabir earned $25.00 for a week's work. If he paid 16% of it in taxes how much did he
pay in taxes?.

Answers

Answer:

4

Step-by-step explanation:

the 16 percent of 25 is 4.

Answer:

4

Step-by-step explanation:

16 percent of 25 is 4

so he paid 4 dollars tax

hope this helps...

Please help on this math problem

Answers

Answer:

1680 in^3

Step-by-step explanation:

SO you got the triangle

24*10=240

240/2=120

now we just need to find the area

There is a formula but I think this is easier

So theres a rectangle with a length of 14

So if you think of the triangle as the base, you just need 14 triangles stacked up to make up the volume

So 120*14=1680

So the volume is 1680

Which choices are solutions to the following equation? Check all that apply. X^2-10x-5=9

Answers

Solve using quadratic formula!
Answers:
5 + √39
5 - √39

write an equivalent expression to represent Bradens total earnings for this week.

8h + 129 + 3h = ?h + ?

Answers

Answer:

11h +129

Step-by-step explanation:

8h + 129 + 3h = ?h + ?

11h +129

Answer:11h +129

Step-by-step explanation:You add like terms together which are 8 h and 3h which gives you 11 h.And you have 129 left so you add 11 h to 129 .So you get 11 h +129 as your equivalent expression to represent Bradens total earnings for this week.

Hope it helps and ur are welcome :)

Lula babysits for the two Finch children every Friday night. Mr. Finch pays her $4.25 per hour per child. Choose the correct expression to show how much money Lula will earn each Friday night she babysits.

Answers

Answer:

Lula babysists for Finch's children=2       Finch pays =$4.25 per child

Lula earns= 2×$4.25

                = $8.50

or

X=Finch per child

X=4.25

Lula earn each Friday night=

2X=$4.25×2 =$8.25

Step-by-step explanation:

Factor completely
25xsquared-16

Answers

Step-by-step explanation:

25x² - 16

= (5x)² - (4)²

= (5x + 4)(5x - 4).

Answer:

(5x - 4)(5x + 4)

Step-by-step explanation:

[tex]25 {x}^{2} - 16 \\ \\ = {(5x)}^{2} - {(4)}^{2} \\ \\ = (5x - 4)(5x + 4)[/tex]

2x+1.5y=30 in slope intercept form​

Answers

Answer:

y = -4/3x + 20

Step-by-step explanation:

2x + 1.5y = 30

1.5y = 30 - 2x

y = 20 - 4/3x

y = -4/3x + 20

Answer:

Step-by-step explanation:

2x + 1.5 y = 30

1.5 y = -2 x + 30

y = 2/3 (-2x + 30 )

y = -4/3 x + 20

Where m = -4 /3 and b = 20

What is the relationship between the 6 in the number 6.45 and the 6 in the number 62

Answers

6 in the number 6.45 is the ones digit.

6 in the number 62 is the tens digit.

x is 6 less than thrice of y.​

Answers

Answer:

x = 3y - 6

Hope it helped u,

pls mark as the brainliest

^v^

Answer:

x is 6 less than thrice of y.

[tex] \huge \boxed{x = 3y - 6}[/tex]

Add. (4y – z) + (–3y – 2z)
–12y + 2z

y – 3z

–y – 3z

–y – z

Answers

I believe it is y - 3z. With 4y-3y would equal y. And -z -2z would equal -3z.

please answer asap!!

Answers

Answer:

16

Step-by-step explanation:

This equation shows how Rocky the puppy's weight varies with age.
p = 3a + 2
The variable a represents Rocky's age in months, and the variable p represents Rocky's
weight if pounds. At how many months did Rocky weigh 17 pounds?
O months
Submit

Answers

Answer:

Age of Rocky = 5 months

Step-by-step explanation:

Given that:

Equation for calculating puppy's weight

p = 3a + 2

Here,

p = weight of puppy

a = age in months

We have to find the age if the weight is 17 pounds

Putting p=17 in given equation

17 = 3a + 2

17 - 2 = 3a

3a = 15

Dividing both sides by 3

[tex]\frac{3a}{3}=\frac{15}{3}\\a=5[/tex]

Hence,

Age of Rocky = 5 months

-4(3x - 5) pls help ??

Answers

Answer:

-13x+20..............

Answer:

-12x+20

Step-by-step explanation:

What is the missing reason for line 3 in this proof? LZM

Answers

I have no idea what you mean!!!! Make it more clear next time. ;)

Answer: B. substitution property of =

Explanation:

The given points, LM, LZ, and MZ, were substituted for their numbers.

Bonus:

Line 5- C. division property of =

Line 8- D. multiplication of real numbers

Line 2- D. segment addition postulate

I hope this helped!

Good luck <3

Which fraction is equivalent to the decimal 0.15?With the line over.

A. 1/15
B. 1/6
C. 3/20
D. 5/33

Answers

Answer:

C.

Step-by-step explanation:

divide 100 and dive 15 by 5

Answer:

C 3/20

Step-by-step explanation:

step by step explain

How many groups of 2/3 are in 1

Answers

Answer:

1 and 1/3

Step-by-step explanation:

please answer asap!!!

Answers

Answer:

8

Step-by-step explanation:

Line RT will be 2x smaller than QU because line RT splits lines QS and US equally.

Answer:

8

Step-by-step explanation:

Because RT is smaller than QU so thereforeyou would have to divide 16 by 2 to get 8

Give two appropriate names for the line.

Points A, B, C, and D appear from left to right on a number line.

Answers

Answer:

AD and BC

Step-by-step explanation:

Lines are infinite

Thank, 5 star, and brainliest if helpful!

yeah AD and BC have a good day :)

Which operation will "undo" subtraction?

Answers

Answer: addition ??

Step-by-step explanation:

Answer:

Addition

Step-by-step explanation:

An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality.

Therefore, it is addition

Hope this helps :)

I WILL GIVE BRAINLIEST I NEED HELP ASAP PLEASE!!!!
Using the new scale and starting from the origin, where will point A be?

Answers

Answer:

(9, 27)

Step-by-step explanation:

You multiply the current point A by 3 because that is the change in the new scale.

(9, 27) is correct!

Have a fantastic day!

HELP PLEASEE ANYBODY

Answers

Answer:

you didn’t provide a question

Step-by-step explanation:

the midpoint of the line segment from p 1 p 2 is (- 6, 2) . if p 1 =(-8,2) , what is p 2 ?

Answers

If we have 2 coordinates (x1,y1) and (x2,y2), the midpoint is given by the following equation:

((x1+x2)/2,(y1+y2)/2)

We have the first set of coordinates which is (-8,2) and we have the midpoint which is (-6,2)..

For the x-coordinate:

(-8+x2)/2=-6

-8+x2=-12
x2=-12+8
x2=-4

For the y-coordinate:

(2+y2)/2=2
2+y2=4
y2=2

So the coordinate p2 will be (-4,2)

classify the real number as a r rational or irrational number?

PLEASE HELP

Answers

Answer:

the rational ones are the ones that are gonna give you an equal answer and the irrational the opposite.

Step-by-step explanation:

Simplify 2 + 17x – 5x + 9.

A. 19x + 4
B. 12x + 11
C. 22x + 11
D. 15x - 4

Answers

B

add all the like terms together

9+2=11

17x+-5x=12x

Find the first four terms of the sequence given by the following.
4,=(-1)".31%, n=1, 2, 3, ...

Answers

Answer:

The first term of the sequence is:

a₁ = -3a₂ = 12a₃ = -27a₄ = 48

Step-by-step explanation:

Given the sequence

aₙ = (-1)ⁿ · 3n²

substituting n = 1 to determine the first term

a₁ = (-1)¹ · 3(1)²

a₁ = (-1)¹ · 3(1)²

Applying the exponent rule: [tex]a^1=a[/tex]

a₁ = -1 · 3(1)

a₁ = -1 · 3

a₁ = -3

substituting n = 2 to determine the 2nd term

a₂ = (-1)² · 3(2)²

a₂ = 1 · 3(4)

a₂ = 12

substituting n = 3 to determine the 3rd term

a₃ = (-1)³ · 3(3)²

a₃ = -1 · 3(9)

a₃ = -1 · 27

a₃ = -27

substituting n = 4 to determine the 4th term

a₄ =  (-1)⁴ · 3(4)²

a₄ = 1 · 3(16)

a₄ = 1 · 48

a₄ = 48

Therefore, the first term of the sequence is:

a₁ = -3a₂ = 12a₃ = -27a₄ = 48

Please answer 5 questions its urgent!
1.Write the ratio as a fraction in simplest form.
15 girls to 6 boys
2.Write the ratio as a fraction in simplest form.
24 players : 3 teams
3.Write the ratio as a fraction in simplest form.
48 worksheets : 12 students
4.Tell whether the ratios form a proportion
(This is a fraction) 4/7 4 on top of the 7 24/35 24 on top of 35
5.Tell whether the ratios form a proportion
11/12 11 on top of the 12 33/36 33 on top of the 36.

Answers

Answer:

1. 5/2   2. 8    3. 4    4.no  5. yes

Step-by-step explanation:


13. Find the slope and a point on the line for the lines with the following equations
a. y - 9=-3/4(x - 4)
b. y = 3 - 2/3 (x +4)

Answers

Answer:

look for it in a math app

Step-by-step explanation:

I need this by tomorrow! I will mark you Brainliest, 10,12, and 14

Answers

Answer:

-1.3n+1.5

-6.4n+9.8

-0.36n-4

Step-by-step explanation:

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