Simplify the rational expression. x^2 - 3x - 54 | x^2 -10x + 9

Answers

Answer 1

Answer:

[tex]\frac{x+6}{x-1}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-3x-54}{x^2-10x+9}[/tex] ← factorise both numerator and denominator

= [tex]\frac{(x-9)(x+6)}{(x-9)(x-1)}[/tex] ← cancel (x - 9) on numerator/ denominator

= [tex]\frac{x+6}{x-1}[/tex] ← x ≠ 1

Answer 2

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[tex] \frac{ {x}^{2} - 3x - 54 }{ {x}^{2} - 10x + 9 } = \frac{(x - 9)(x + 6)}{(x - 9)(x - 1)} = \frac{x + 6}{x - 1} \\ [/tex]

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Answer:

25

Step-by-step explanation:

Power-to-weight ratio is a calculation commonly applied to engines and mobile power sources to enable the comparison of one unit or design to another.

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Step-by-step explanation:

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Answer:

The answer is 144 square feet.

Step-by-step explanation:

if you are trying to find the sum of the room, then you multiply 10 and 12 which equals 120 then you multiply 8 and 3 and that equals 24, then you add your two answers (120+24) and that equals 144 square feet.

Simplify the radical - 160

Answers


160
simplifies to 4

10
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to prepare for a party, Mark buys a small bunch of balloons for $6 and gift bags that cost $5.15 each. he spends a total of $72.95 on the balloons and a gift bag for each person he invited to his party- what is the number of person he invited?

Answers

Answer:

p=13

Step-by-step explanation:

let p = people

72.95=5.15p+6

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p=13

Answer:

Equation:5.14x+6=72.95

Answer:13 people

Step-by-step explanation:

5.15x+6=72.95

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5.15x=72.95

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What is the domain of this graph
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What fraction of the Y10 students are girls? Give your answer in its simplest form.

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Answer:

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Answer:

[tex]the \: hieght \: of \: the \: trapazium \: \\ is \: 2.5 \: inches[/tex]

Which number belongs to the solution set of the equation below?
X-18 = 17

Answers

Answer:

a. 35

Step-by-step explanation:

x - 18 = 17

x = 35

For this question the answer is x = 35.

To solve the system of equations below, Chen isolated x2 in the first equation
and then substituted it into the second equation. What was the resulting
equation?
=
x2 + y2 = 16
² y²

4
= 1
25
O A. 16.my -
ОА
-
_y²
25
O B. Y? -16 2.1
4
25
O
O c. *? - 16-y2.1
H
4
25
OD. - 16 - 1
2 2
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Answers

Answer:

50

Step-by-step explanation:

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An internet company charges $12 per gigabyte of data plus a monthly service charge of $18. Last month, Niki's bill was $78. Write an equation to find how many gigabytes of data Niki used last month.

Let x represent the number of gigabytes of data Niki used.

Multiply the number of gigabytes by the cost per gigabyte. Add the service charge and set it equal to the price of the bill.

Answers

Answer:

12x+18=78

Step-by-step explanation:

12x+18=78

     -18   -18

12x=60

x=5

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Answers

Answer:

the equation of a line that passes through the point(0,3) answer is 1.5

Step-by-step explanation:

Need the value of a and the value of b

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I think this is the answer

IS
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Answer: 46.6 miles

Step-by-step explanation:

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Answer:

i would say jon

Step-by-step explanation:

because he has the highest POSITIVE number but i need more info to be certain

27. When can you say that the event is independent?

A. If the fact that A occurs does not affect the probability of B occurring.
B. If the fact that A occurs affect the probability of B occurring.
C. If the fact that events A and B can occur at the same time.
D. If the fact that events A and B cannot occur at the same time.​

Answers

Answer:

A is the most appropriate answer.

Step-by-step explanation:

if the fact that A occurs does not affect the probability or possibility of B occurring.


What is the value of this expression when c= -4 and d= 10?

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Answers

i believe the answer is b

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1


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Answers

Answer:

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Step-by-step explanation:

Determine whether or not the function is continuous for the given values of X.

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b. ​No, the function is not continuous at x=0 .

Answers

Answer:

A. ​Yes, the point is​ defined, ​limit f(x) exists, and ​limit f(x) 0.

Step-by-step explanation:

Let be [tex]f(x) = \frac{x^{2}-25}{x-7}[/tex], a rational function is continuous at a value of [tex]x[/tex] if and only if denominator is different from zero. In particullar, [tex]x-7 \neq 0[/tex].

Then, we find that function is continuous for every value of [tex]x[/tex] except [tex]x = 7[/tex]. Thus, the function is continuous at [tex]x = 0[/tex], which is evaluated below:

[tex]f(x) = \frac{(x+5)\cdot (x-5)}{x-7}[/tex]

[tex]f(0) = \frac{(0+5)\cdot (0-5)}{0-7}[/tex]

[tex]f(0) = \frac{(5)\cdot (-5)}{-7}[/tex]

[tex]f(0) = \frac{-25}{-7}[/tex]

[tex]f(0) = \frac{25}{7}[/tex]

Thus, correct answer is A.


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Answers

Answer:

Rounded to the nearest hundredth, is X=4.67

Step-by-step explanation:

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Answers

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Answers

Answer:

b=[tex]\frac{f}{2-Q}[/tex]

Step-by-step explanation:

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Answer:

0

Step-by-step explanation:

pls help me with this question

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Answer:

55.2° ...............................

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Answer:

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Solve 5a/7=25 the solution for a is

Answers

Answer:

35 is the answer

*multiply both sides by 7. This leaves you with 5a=175. Then divide both side by 5. Leaving you with a=35

Answer:

[tex]a=35[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{5a}{7} =25[/tex]

To find the answer we need to isolate variable in order to find the value of a we are going to have to use inverse of operations to isolate the variable.

[tex]\frac{5a}{7} =25[/tex]
[tex]7\times0=0[/tex]
[tex]25\times7=175[/tex]
[tex]5a=175[/tex]
[tex]\frac{5a}{5} =a[/tex]
[tex]175\div5=35[/tex]
[tex]a=35[/tex]

Your answer is "a = 35."

Hope this helps.

i will give brainliest

Answers

Answer:

x =< 5

Step-by-step explanation:

We have to solve 2x + 3 <= 13

2x + 3 <= 13

=> 2x =< 13 - 3

=> 2x =< 10

=> x =< 5

Answer:

x > 8

Step-by-step explanation:

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+3-3 < -13-3[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-2x < -16[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-2x\right)\left(-1\right) > \left(-16\right)\left(-1\right)[/tex]

[tex]\;Simplify[/tex]

[tex]2x > 16[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2} > \frac{16}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

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[RevyBreeze]

If 106 people attend a concert and tickets for adults cost four dollars what ticket for a children cost $3.75 and total receipt for the concert was $414 how much of each went to the concert

Answers

Answer:

A = 66 adults, C = 40 children

Step-by-step explanation:

We can set up a system of equations to find how many adults and how many children attended the concert, with A representing the adults and C representing the children:

[tex]A + C = 106\\4A+3.75C=414[/tex]

We can use the elimination method and multiply everything in the first equation by -4

[tex]-4(A+C=106)\\-4A-4C=-424\\4A+3.75C=414[/tex]

Once we add the values together, we're left with:

[tex]-0.25C = -10[/tex], where solving for C gives us C = 40

We can plug C into the first equation to find A:  [tex]A+40=106[/tex], where solving for A gives us A = 66

Lori ran 4.63 miles last weekend and 5.876 miles this weekend. How many miles did she run in all?

Answers

Answer:

10.506

Step-by-step explanation:

its just adding and math lol- if u dont trust it look it at a calculator- hope this helped!!<3

he ran 6,339 in total
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