Find the restrictions on the variable.

Find The Restrictions On The Variable.

Answers

Answer 1

Answer:

[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]

Step-by-step explanation:

x^2 + 4x - 45

= (x+9)(x-5)

x^2 + 10x + 9

= (x+9)(x+1)

So the fraction goes to

[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].

Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.


Related Questions

Daniel's age is 15% of
Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?

Answers

Answer:

27 years old

Step-by-step explanation:

Full question isDaniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel? Solution

Daniel = d, Sara = s, Luke = l, Rachel = r

We get below relations:

d = 0.15sl = 0.75sr = 3d ⇒ r = 3*0.15s  ⇒ r = 0.45s

Sum of ages:

d + s + l + r = 141

Substitute and solve for s:

0.15s + s + 0.75s + 0.45s = 1412.35s = 141s = 141/2.35s = 60

Rachel's age is:

r = 0.45*60 = 27

On Thursday, 14 out of 20 cookies sold at a bakery were Chocolate Chip. What percent of the cookies sold at the bakery were Chocolate chip?

Answers

14/20=0.7
70% of the cookies were Chocolate chip
:)

Someone please help! I’m willing to pay for someone to help me with my five problems!

Answers

Answer:

28

Step-by-step explanation:

Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28

If you need more help, you can comment! :)

Please help me with my homework!!!!

Answers

Answer:

-3.5

Step-by-step explanation:

Flip the equation so it's 0 - 3.5 which would give you -3.5

Answer:

- 3 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!

please send answers ​

Answers

Answer:

multiple 10.5x10.5 and then 7x7 and then add both answer s

Step-by-step explanation:

Answer is explained above

How to get 6/9 as a decimal using division help

Answers

the answer is .6666666667

Lisa has 5 Pink, 3 Red and 12 Blue balls. What is the probability of randomly picking up a Red or Pink ball?

Answers

There are a total of 20 balls, 8 of which are red or pink . 8/20 reduced is 2/5
It’s there if you go 5 dagres up

B is the midpoint of ACand E is the midpoint of BD. If A(-9, -4), C(-1, 6), and E(-4, -3), find

the coordinates of D.

Answers

Answer:

[tex]Solution,\\Midpoint of coordinates (a ,b) and (c,d) is given by:\\(x,y) = (\frac{a+b}{2} , \frac{c+d}{2}) \\Therefore, coordinate of B is\\(\frac{-9-1}{2},\frac{-4+6}{2}) = (\frac{-8}{2},\frac{2}{2}) = (-4 , 1)[/tex]

[tex]Similarly,\\E(4, -3) = (\frac{-4+x}{2},\frac{1+y}{2}) where, (x,y) are the coordinates of D\\or, 4=\frac{x-4}{2} and -3 = \frac{y+1}{2}\\or, 8 = x - 4 and -6 = y+1\\or, x= 12 and y = -5\\Therefore, the coordinates of D are (12,-5)[/tex]

I need help with this question from my daughters 1st grade math class. I believe the answer should be 12 but the teacher says the answer should be 6. How is the answer 6?

Mackenzie picks some apples.
She eats 3 apples.
Now she has 9 apples.
How many apples did Mackenzie pick to start?
A. 3 apples
B. 6 apples
C. 9 apples
D. 12 apples

Answers

Answer:

d.12

Step-by-step explanation:

its saying she ate 3 an now has 9. so you really add 3 to 9 an your answer is 12. in other words x=9+3 for your level of math. i'll be glad to help her with her home work for now if you would like me to.

Answer: Option D 12 apples

Step-by-step explanation:

SOOOO

She ate 3 apples and after that, she left with the 9 apples

They asked how many did Mackenzie pick.

SO its past tense

we have to add 3 apples that she just ate

so 9+3= 12 apples

I think your teacher is wrong because I think your teacher thought that she had 9 apples actually she has 9 apples after she just ate. So if it was before she has eaten the apples then it would be 6

Tell the teacher that she/he is wrong and give this explanation  

I hope this helps you and your teacher

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Answers

Is this Morse code ......

Answer:

nice picture bro

Step-by-step explanation:

Alex and Amber are both saving money for a
summer vacation. Alex has already saved $100 and
plans to save $25 per week until the trip. Amber has
$75 and plans to save $30 per week. In how many
weeks will Alex and Amber have the same amount of
money?
19 points!

Answers

Step-by-step explanation:

25*x+100=30×x+75

25=5x

x=5

Simplify-2(4x-6)+3(8x+2)

Answers

Answer:

-8x +12 + 24x +6 = 0

16x + 18 =0

16x = -18

x = - 18/16 = - 1.125

-8x+12 + 24x+6
Which then simplifies to:
16x + 18

Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Answers

Answer:

please refer to the above attachment

(D) is the right answer.

If 3 oranges cost $1.75, how much would 18 oranges cost?

Answers

Answer:

31.5 i think

Step-by-step explanation:i used multi if its wrong im so sorry

Answer:

10.50$

Step-by-step explanation:

if you divide the cost of 3 oranges by 1 orange you get one oranges price then multiply it by 18.

Help me I'm too tired to think and this is easy.

Please tell me if this number is greater than, less than or equal to 5. The number is -(-5)

Answers

Answer:

equal to

Step-by-step explanation:

two negatives equals positive

Answer:

Equal

Step-by-step explanation:

Double negative equals a positive. Gn

What is the volume of the rectangular prism?

Answers:
2/9 FT 3
10 FT 3
1 1/9 ft 3
3 1/3 FT 3

Answers

Answer:

3 1/3 FT 3

Step-by-step explanation:

im not sure if this right but i tried lol

Answer:

There is not enough info you need to add a picture of the box to measure it.

what is the answer to this problem? If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt?

A. 30 calories

B. 202 calories

C. 270 calories

D. 360 calories

Answers

Answer: C

Step-by-step explanation:

A committee is to consist of two members. If there are seven people
available to serve on the committee, how many different committees can
be formed

Answers

Answer:

2

Step-by-step explanation:

Common Sense

The number of different ways committees can be formed will be 21.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A committee is to consist of two members.

If there are seven people available to serve on the committee.

If two people are selected from the group of seven people.

Then the number of different ways committees can be formed will be

⇒ ⁷C₂

⇒ 7! / [(7 – 2)! x 2!]

⇒ 7! / [5! x 2!]

⇒ 7 x 6 x 5! / [5! x 2 x 1]

⇒ 7 x 6 / 2

⇒ 7 x 3

⇒ 21

Thus, the number of different ways committees can be formed will be 21.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

Can any of you plz answer? (math)

Answers

Omg I took that lesson on I ready, your answer is 4 (please mark brainliest)

Find the area of the figure. Assume all measurements are centimeters.

Answers

Answer:

The total area of the figure is 68.5 square centimeters.

Step-by-step explanation:

To calculate the total area, we must concieve it by the sum of areas of smaller triangles and rectangles. We present our strategy in the image attached below:

[tex]A = A_{1}+A_{2}+A_{3}+A_{4}+A_{5}[/tex] (1)

Where all areas are measured in square centimeters.

Please notice that [tex]A_{2}[/tex], [tex]A_{3}[/tex] and [tex]A_{5}[/tex] are triangles and [tex]A_{1}[/tex] and [tex]A_{4}[/tex] are rectangles.

The resulting area is calculated below:

[tex]A = (1)\cdot (2) + \frac{1}{2}\cdot (2)^{2} +\frac{1}{2}\cdot (3)\cdot (7)+(9)\cdot (5)+\frac{1}{2}\cdot (2)\cdot (9)[/tex]

[tex]A = 68.5\,cm^{2}[/tex]

The total area of the figure is 68.5 square centimeters.

Suppose that a chemist is mixing two acid​ solutions, one of 15​% concentration and the other of 25​% concentration. Which of the following concentrations could not be​ obtained?

Choose the correct answer below.

Answers

Answer: d. 29%

Step-by-step explanation:

The mixture of the two concentrations should equal a concentration that is between the concentration percentages of the two solutions.

This is because the lower concentration percentage will pull the higher one down while the higher concentration will pull the lower one up. It will not be possible to get a mixture concentration that is lower than the lower concentrated acid or higher than the higher concentration acid.

Mixture concentration must be between 15% and 25%.

Option D at 29% is therefore not possible.

what is the meaning of the following data? 101, 143, 132, 155, 166​

Answers

Answer:

it depends on what you're doing

what's the name of the topic

halona walks 1.93 kilometers in 23 minutes, assuming constant speed write a proportion that represents how many kilometers in x minutes

Answers

Dividing 1.93km by 23 minutes, you get 0.083 km per minute, or 5.03 km per hour

Jane drove 693 miles in 11 hours.
At the same rate, how long would it take her to drive 411 miles?

Answers

Answer:

approx. 6.523809523809524 hours

Step-by-step explanation:

Let us first find how long it takes Jane to drive 1 mile.

11/693 = approx. 0.015873015873016 hours to drive one mile.

She drives 411 miles, so we can multiply that by 411:

0.015873015873016 * 411 = approx. 6.523809523809524 hours

I hope this helps! :)

Answer:

6.52 hours

Step-by-step explanation:

693 miles divided by 11 hours = 63 miles per hour.

411 miles divided by 63 miles = 6.52380952 miles

Round to 2 decimal places: 6.52 hours

Has 256 and 81 already been squared?
8th grade math
Please answer ASAP (i'm being timed)

Answers

Yes. I believe 256 and 81 have already been squared. The little 2 at the end means squared inches (i think that is what you were asking). If you also look at the squares, proportionally speaking, it would not make sense if they still needed to be squared. I hope I answered your question correctly... good luck

What is the slope of the line through (2, 10) and (-2, 17)?

Answers

The slope would be -4/7

The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?

Answers

Answer:

14ft

Step-by-step explanation:

Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.

(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)

Hope this helps :D

Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.

1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet​

Answers

Step-by-step explanation:

Volume of square pyramid

= (Base length)² * (Height/3).

Therefore we have 8 = 2² * (h/3).

=> 8 = 4 * (h/3), h/3 = 2, h = 6.

Hence the height is 6 feet. (1)

Which is the best way to describe 1-21? 1.the opposite of 2 2. point A 3. the distance between A and C 4. the distance between A and D​

Answers

Answer:

c 4

Step-by-step explanation:

Square ABCD is shown in the xy-coordinate plane. The square will be
dilated with the center O by a scale factor of 2 to create square A'B'C'D'.
Which statements are true?
Select all that apply.

BC ||B'C'
AC=A'C'
AD_CD
Point D' has the same coordinates as point C.
Point C' lies on the line containing points 0 and C.

Answers

9514 1404 393

Answer:

  A, C, D, E

Step-by-step explanation:

Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:

BC║B'C'AC ⊥ line C'D'D' and C have the same coordinatesC' lies on line OC
Other Questions
I will give brainliest to the correct answer! please help me figure out this outfit What was one of the major achievements of the Inca empireA. Creating a society in which all people where equalB. Allowing all citizens to choose their own religionC. Defeating the Spanish forces in south americaD. Ruling over one of the worlds largest empires Need some help dont understand it Someone help me please Which change of state takes place when a gas loses energy?A. condensationB. evaporationC. moltingD. solidification Simplify the following expression.[tex]\displaystyle{\frac{4x+14}{2}\div\frac{4x+14}{x-6}}[/tex] In paragraph 15, how does Roy end the conflict with Dana?Answer choices for the above questionA. Roy insults Danas smoking habit, escalating the situation.B. Roy gives in, allowing Dana to maintain the upper hand.C. Roy begs the smaller kids on the bus for help, causing Dana to laugh.D. Roy tells Dana not to call him Tex, causing Dana to grab Roys head.-----------------------------------------------------------------------------------------------------What theme can be inferred from the way Roy ends the conflict with Dana in paragraph 15?Answer choices for the above questionA. During a conflict, its best to stand up for yourself and fight back.B. During a conflict, its best to call someone names and invade his personal space.C. During a conflict, its best to stay calm and rational.D. During a conflict, its best to taunt and make physical attacks.-----------------------------------------------------------------------------------------------------Throughout the story, Roys reaction to Dana Matherson supports a theme that illustrates the value of Answer choices for the above questionA. bullyingB. curiosityC. clevernessD. running Sarah worked 8 more hours than Paida (algebraic expression) ___Kumar has twice the number of goals as Jacob ___Addison is 3 years younger than Nathan ___ Find the missing angle. Explain why the climate of the polar regions is so cold (4 marks) solve 100+0.05p=0.25p 22An airline offers a discount one way flight to New York City for $162 80. If the usual price for the ticket is $185.00, what is the percent discount DO ALL OF THESE RN PLSSSSSSSSSSSAND U CANT SAY I cAnT SeE iT iTs BluRrY ITS A PNG IMAGE What is the slope of this equation?y = 3x - 4 You scored 90, 95 and 87 on three test. Write and solve an Equation to find the score on the fourth test so that your mean test is 90. 5z - 3 >7 or 4z -6< - 10 PLEASE HELP! Brainliest and points!!!! when would anaerobic respiration be used instead of anaerobic respiration? Write the equation of the function on the graph.