solve equation (n-1)(n+6)(n+5)=0

Answers

Answer 1

the first step to solving this is to split the equation into the possible cases. when the product of factors equals 0, at least one of these factors is 0.
n - 1 = 0
n + 6 = 0
n + 5 = 0
now you need the equations for n
n = 1
n = -6
n = -5
this tells us that the final solutions are the following:
n = -6, n = -5, n = 1
1 2 3
let me know if you have any further questions
:)

Answer 2

Answer:
1, -6 and -5

Explanation:
To solve the equation means to get the values of n which satisfy the given equation.
The equation given is:
(n-1) (n+6) (n+5) = 0
This equation will be true if any of the terms (brackets) is equal to zero.
This means that:
either n-1 = 0 .............> n = 1
or n + 6 = 0 ................> n = -6
or n + 5 = 0 ................> n = -5

Hope this helps :)

Related Questions

Lydia drove 302 miles in 10 hours. on average, how fast did she drive in miles per hour? express your answer in simplest form.

Answers

I think it is 30.2. I am not 100% sure though.

Answer:

30.2 mph

Step-by-step explanation:

Hello, I think I can help you with this

the speed average is the is the quotient of the distance traveled and the time used to do it, mathematical speaking

[tex]Average\ speed =\frac{distance}{time}\\[/tex]

Step 1

Put the values into the equation

Let

Distance:302 miles

Time:10 hours

[tex]Average\ speed =\frac{distance}{time}\\\\Average\ speed =\frac{302\ miles}{10\ hours}\\Average\ speed =30.2 \frac{miles}{hour} \\[/tex]

Average speed=30.2 mph

Have a great day.

The length of a rectangle is 7 m less than triple the width. if w represents the width, write an expression for the length, l. question 13 options:

Answers

EHDGFSYGEVA‰ wetywrty

What is the approximate volume of the come 8cm and 12cm use 3.14 for pie

Answers

the answer would be 339 cm3

What is the area of this triangle?
Picture below, will give brainliest!!!! please help

can you give it to me in a decimal? Thank you

Answers

[tex]\text {Area = } \dfrac{1}{2} ABsin C[/tex]

[tex]\text {Area = } \dfrac{1}{2} (3.2)(4.7)sin (62 \textdegree)[/tex]

[tex]\text {Area = } 6.64 \ yd^2[/tex]

how much water do you add to make 12% sugar syrup using 5g sugar?

Answers

so the syrup is just water and sugar, we know that the sugar percent is just 12%, and that happens to be 5grams.

now 100% - 12% is 88%, so the 88% leftover will just be water.

if 12% is 5g, how much is 88%?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 5&12\\ x&88 \end{array}\implies \cfrac{5}{x}=\cfrac{12}{88}\implies \cfrac{5}{x}=\cfrac{3}{22}\implies 110=3x \\\\\\ \cfrac{110}{3}=x\implies 36\frac{2}{3}=x[/tex]

Answer:

[tex]36\dfrac{2}{3}[/tex] g of water.

Step-by-step explanation:

You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then

5 g - 12%,

x+5 g - 100%.

Mathematically, you can write a proportion:

[tex]\dfrac{5}{x+5}=\dfrac{12}{100}\Rightarrow 500=12(x+5),\ 500=12x+60,\ 12x=440, \\ \\x=\dfrac{440}{12}=\dfrac{110}{3}=36\dfrac{2}{3}.[/tex]

A pond is freshly stocked with 6 brown trout and 18 lake trout. The first fisherman in the area catches and releases a trout. He catches another trout a while later. What is the probability that the fisherman caught brown trout each time?

Answers

The possibility is 1 out of 8. You get this from adding up all trout (24), and then you divide that by what you are looking for (6 brown, so 24/6=4). If you have anything that says he caught # times, or something like that, multiply it by the denominator. This altogether is shown as

24÷6= 4 so probability of 1 out of 4. times 2 because he caught 2 fish. so then that would be 1 out of 8. :)

delia spent 45 minutes working on her book report she finished at 6:10 p.m. at what time did delia start working on her paper

Answers

Delia started working on her paper at 5:25 p.m.

6:10 - 10 = 6:00

6:00 - 35 =5:25

When she finished the work, the time was 6:10 p.m. In other words, 6 hours and 10 minutes.

It says that she took 45 minutes to complete the work.

We need to find the time when she started working on it.

Start Time = Finish Time - time taken to complete work.

Start Time = (6 hours and 10 minutes) - 45 minutes

(Hint:- 1 hour = 60 minutes)

Start Time = (5 hours and 70 minutes) - 45 minutes

Start Time = 5 hours and 25 minutes i.e. 5:25 p.m.

It means that she started the work at 5:25 p.m.

For ΔABC, the measure in degrees of angles A, B, and C are 60, 55, and x + 20 respectively. What is the value of x?

Answers

60 + 55 + x + 20 = 180
135 + x = 180
x = 180 - 135 = 45 degrees Answer.

Answer:

Step-by-step explanation:

60 + 55 + x + 20 = 180

135 + x = 180

x = 180 - 135 = 45

Answer: 45

A fleet of vehicles is comprised of 60 vans, 20 limos, and X sedans. If 10% of all vehicles are limos, how many sedans are in the fleet?

Answers

Answer:

120 sedans are in the fleet.

Step-by-step explanation:

A fleet of vehicles is comprised of 60 vans, 20 limos and X sedans.

It is given that 10% of all vehicles are limos.

Let all vehicles be n

10% × n = 20

0.10n = 20

n = [tex]\frac{20}{0.10}[/tex]

n = 200

Now we have to calculate the number of sedans.

So 60 vans + 20 limos + x sedans = 200

80 + x = 200

x = 200 - 80

x = 120

Therefore, 120 sedans are in the fleet.

Final answer:

By knowing that 10% of the fleet are limos and that there are 20 limos, we determine that the fleet has 200 vehicles. Subtracting the known number of vans and limos from the total, we find there are 120 sedans in the fleet.

Explanation:

To solve the problem, we need to determine the total number of vehicles in the fleet and use the information that 10% of all vehicles are limos. We know there are 60 vans and 20 limos already, and we want to find the number of sedans, denoted as X.

Since 10% of the vehicles are limos and there are 20 limos, that means there must be 200 vehicles in total (because 20 is 10% of 200).

So the equation to find the total number of vehicles is: 60 vans + 20 limos + X sedans = 200 vehicles. We already know that there are 60 vans and 20 limos, so we can say: 60 + 20 + X = 200. Solving for X, we subtract 60 and 20 from 200: X = 200 - 80 = 120.

Therefore, there are 120 sedans in the fleet.

1/3 equivalent first 2 fractions

Answers

Hey there!

1/3 is equivalent to 2/6
Here is why:

1 x 2 = 2
3 x 2 = 6
You can do this by cross multiplying 1/3 and 2/6
That's how you get 2/6 as an equivalent fraction.

1/3 is also equivalent to 3/9
Here is why:
3 x 1 = 3
3 x 3 =9
You can also do this by cross multiplying 1/3 and 3/9
That's how you get 3/9 as an equivalent fraction.

There are also many other fractions that are equal to 1/3, but these are the first two.

Hope this helps you.
Have a great day!

what is the correct answer to this question?
a
b
c
d

Answers

The price of the item will change
.. from 275/6.58 = $41.79
.. to 275/6.25 = $44.00

which is a change of $2.21.

Please help with the question. For some reason, I find it confusing and I need some assisstance. Thank you!

Answers

All you have to do is plug in the tables to T. Since there's 5 tables, your new equation will be C=4x5+2. Then, you solve using pemdas.
C=4x5+2.
C=20+2
C=22

You need 22 chairs.

Answer: i think it is 22

Step-by-step explanation:

Find a linear differential operator that annihilates the given function. (use d for the differential operator.) e−x + 8xex − x2ex

Answers

Answer: [tex](d - 1)^3(d + 1)[/tex]

Explanation:

Let

[tex]f(x) = e^{-x} + 8xe^x - x^2 e^x[/tex].
[tex]d^n (f(x))[/tex] = nth derivative of f

Note that

[tex](d + 1) (e^{-x}) = d (e^{-x}) + e^{-x} = -e^{-x} + e^{-x} = 0 \\ \boxed{\Rightarrow (d + 1)e^{-x} = 0} [/tex]

So, (d + 1) annihilates [tex]e^{-x}[/tex].

Note that

[tex](d + 1) (8x e^x - x^2 e^x) = d(8x e^x - x^2 e^x) + (8x e^x - x^2 e^x) \\ = (8e^x + 8x e^x - 2x e^x - x^2 e^x) + (8x e^x - x^2 e^x) \\ \boxed{(d + 1) (8x e^x - x^2 e^x) = 8e^x + 14x e^x - x^2 e^x}[/tex]

Let [tex]g(x) = 8e^x + 14x e^x - x^2 e^x[/tex]

For any real number [tex]\alpha[/tex] and positive integer n,

[tex](d - \alpha)^n (c_1 e^{\alpha x} + c_2 xe^{\alpha x} + c_3 x^2 e^{\alpha x} + ... + c_n x^{n - 1} e^{\alpha x}) = 0 [/tex] (1)

So, for g(x), [tex]\alpha = 1, n = 3[/tex]. Thus, using equation (1),

[tex](d - 1)^3 (8e^x + 14x e^x - x^2 e^x) = 0[/tex] (2)

Since, [tex]8e^x + 14x e^x - x^2 e^x = (d + 1) (8x e^x - x^2 e^x)[/tex] ,

[tex](d - 1)^3 ((d + 1) (8x e^x - x^2 e^x)) = (d - 1)^3 (8e^x + 14x e^x - x^2 e^x) = 0[/tex]

Moreover, since [tex](d + 1) (e^{-x}) = 0[/tex]

[tex](d - 1)^3(d + 1) (e^{-x}) = (d - 1)^3 (0) [/tex]
[tex]\\ \boxed{(d - 1)^3(d + 1) (e^{-x}) = 0 }[/tex] (3)

Hence based on equations (2) and (3),

[tex](d - 1)^3(d + 1) (e^{-x} + 8xe^x - x^2e^x) \\ = (d - 1)^3(d + 1)(e^{-x}) + (d - 1)^3(d + 1)(8xe^x - x^2e^x) \\ = 0 + 0 \\ \boxed{(d - 1)^3(d + 1) (e^{-x} + 8xe^x - x^2e^x) = 0}[/tex]

Therefore, the linear operator [tex](d - 1)^3(d + 1)[/tex] annihilates [tex]e^{-x} + 8xe^x - x^2e^x[/tex].

Final answer:

To find the differential operator that annihilates the given function e^(-x) + 8xe^x - x^2e^x, we individually find differential operators for each term. The operators d^2, d^3, and d^4 annihilate e^(-x), 8xe^x, and x^2e^x respectively. The least common multiple of these operators is d^4, which is the common operator that annihilates the entire function.

Explanation:

To find a linear differential operator that annihilates the function e−x + 8xex − x2ex, we must apply an operator that, when used on these functions, yields zero. For simplicity, we can use d to represent the differential operator d/dx. We annihilate each term independently and find a differential operator common to all terms.

Starting with the first term e−x, we note that d(e−x) = −e−x. Applying d again gives us d(d(e−x)) which is e−x. Thus, applying d2 annihilates e−x.

Annihilating 8xex and x2ex

Next, consider the second term 8xex. Applying the operator d3 to 8(xex) would be: d3(8xex) = d3(8(ex + xex))= d3(8ex) + d3(8xex) which results in zero.

For the third term x2ex, applying d4 annihilates the term, following the pattern: d4(x2ex) = d(d(d(d(x2ex)))) = 0.

The common differential operator that annihilates all three terms is the least common multiple of the individual operators for each term, in this case, d4.

what is equivalent to (81m^6)^1/2

Answers

= 81^(1/2) * (m^6)^(1/2)
= 9 * m^(6*1/2)
= 9m^3

Answer: 9m^3

Step-by-step explanation:= 81^(1/2) * (m^6)^(1/2)

= 9 * m^(6*1/2)

= 9m^3

if f(x) varies directly with x2, and f(x) = 96 when x = 4, find the value of f(6).

Answers

f(x)=kx
96=k(4)
k=24

f(x)=kx
f(6)=24(6)
f(6)=144

a taxi ride costs $3 plus $2.50 per mile. write and graph an equation in two variables that represents the total cost of a taxi ride.

Answers

we are asked to graph an equation using 2 variables.
the 2 variables in the equation are as follows;
y = total cost of taxi ride
x = number of miles travelled per taxi ride
we need to write the equation in slope- intercept form
y = mx + c
m = gradient /slope
mx = cost per mile travelled x number of miles travelled
c= intercept. a fixed cost for every taxi ride
m = $2.50 per mile
c = $3
the graph equation is as follows;
y = 2.50x + 3

is 7/8×6/6 greater then, equal to, or less than 7/8

Answers

7/8*6/6 is equal to 7/8

7/8 times 6/6 is equal to 7/8.

6/6 simplified equals 1.
7/8 times 1 would equal 7/8.
Therefore, 7/8 times 6/6 is equal to 7/8.

Based on each applicant’s median credit score, to which client is Rachel likely to offer the best interest rates? a. Leslie b. Pat c. Sam d. Alex

Answers

Alex I think. it needs more information in it

Just got this question in a practice test on Edge. The answer is definitely Alex, or D.

write a whole number as a fraction the number 5

Answers

A whole number is technically the number over 1. So the whole number 5 is technically:

5/1, as 5 divided by 1 = 5

Hope this helps

5 as a fraction is 5/1. It’s like saying there are five of one stick. That means there are 5 sticks.

Hope this helped!

Solve log2 ( x - 1 ) + log2 ( x + 1 ) = 3

check answers are in domain

Answers

The answer is x=3, It doesn't have any domain restrictions, Therefore it covers all real numbers x∈R

Evaluate. 134 × -7
A)-2,158
B)-828
C)-938
D)938

Answers

It's C
Because you are multiplying a positive and a negative your answer should be negative

The answer to the question is -938

Assume you have a poker chip set containing blue, red, and white chips, all of the same size. you place 15 blue chips, 10 red chips, and 25 white chips in a bag. as you are about to randomly draw a chip from the bag, you bet your friend you will pick a red chip from the bag because you feel that red is your lucky color.

Answers

Is the question what is the probability that you draw a red chip? If it is, the answer is 10/50, which can be simplified to 1/5, 0.2 or 20%.

If the rules for the lottery game powerball required participants to choose 5 unique numbers (ranging from 1 to 59) in any order along with one "powerball" (ranging from 1 to 35), what is the probability of winning the jackpot under these game rules?

Answers

59C5 = 5,006,386

5,006,386 x 35 = 175,223,510

probability 1: 175,223,510

Final answer:

To calculate the probability of winning the Powerball, you need to identify all possible combinations for drawing 5 unique numbers from a set of 59, then multiply that with the separate 35 options for the 'powerball'. Your chance of winning equals one (the exact match to your ticket) divided by the total possible combinations.

Explanation:

The probability of winning the Powerball jackpot can be determined using the concept of combination in probability theory. Probabilities are calculated by taking the total number of successful outcomes or combinations and dividing it by the total number of possible outcomes or combinations.

In the case of Powerball, there are 5 unique numbers to be drawn from a pool of 59 (ignoring order), and 1 'powerball' from a pool of 35. For the 5 unique numbers, there are C(59,5) combinations where C(n,r) = n! / [r!(n-r)!], n being the total number of options available and r being the number of options chosen at a time.

For the 'powerball', since it is a separate pool of 35 numbers and only 1 is chosen, the number of combinations is simply 35. As such, you multiply the two outcomes for total possible combinations: C(59,5)*35.

For the probability of winning, you want to know combinations that match exactly your selection, of which there is only one. Therefore the probability is 1 / [C(59,5)*35], resulting in extremely low chances of winning.

Learn more about Powerball Probability here:

https://brainly.com/question/33176496

#SPJ12

The graph below shows the solution set to which system of inequalities?

Answers

we have that

using a graph tool
I proceed to verify each case to get the answer
see the attached figure

case A)
y> 2x-4 y>=-x y<=3

case B)
y> 2x-4   y>=-x y<3

case C)
y< 2x-4   y>=-x y<=3

the answer is the option A)
y> 2x-4   y>=-x y<=3

Nacir is buying school supplies. He purchases 8 notebooks for $12.48. How much does Nacir pay for 1 notebook?

Answers

12.48/8= 1.56 per notebook

$1.56 for one notebook

Simplify (SecX-TanX)(1+sinX) X stands for theta

Answers

[tex]\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\ -------------------------------[/tex]

[tex]\bf [sec(\theta )-tan(\theta )][1+sin(\theta )]\implies \left[ \frac{1}{cos(\theta )}-\frac{sin(\theta )}{cos(\theta )} \right][1+sin(\theta )] \\\\\\\ \left[\frac{1-sin(\theta )}{cos(\theta )} \right][1+sin(\theta )]\implies \cfrac{\stackrel{\textit{difference of squares}}{[1-sin(\theta )][1+sin(\theta )]}}{cos(\theta )} \\\\\\ \cfrac{1^2-sin^2(\theta )}{cos(\theta )}\implies \cfrac{cos^2(\theta )}{cos(\theta )}\implies cos(\theta )[/tex]

The circumference of a circle is 31.4 inches. What is the circle's diameter? C=31.4 in Use 3.14 for .

Answers

We will use the circumference formula to find the radius and then multiply it by 2 to find the diameter.

C = 2πr
31.4 = (2)(3.14)(r)
31.4 = 6.28r
5 = r

So our radius is 5 in.

We can multiply it by 2 to get the diameter.

5*2 = 10

So the diameter is 10 inches

49.3
this can be calc for a form

hello, Can someone please help me with this math problem? thanks!

Answers

I believe it's A) because the conjugate of any number is basically inverted signs when multiplying a binomial, so [-2 - √b][-2 + √b]. It's A).

Jean adds 35 and 9.how can she solve using only equations to model her thinking?

Answers

She can break up 9 three times and add it to 35 or add 35 and 9.

Hope this helps! ;)

Answer:

Step-by-step explanation: 35+(5+4)=35+5+4=40+4=44

Milo wants to make a mixture that is 50% lemon juice and 50% lime juice.

How much 100% lemon juice should he add to a juice mixture that is 20% lemon juice and 80% lime juice to make 4 gallons of the 50% lemon/50% lime juice mixture?

A. 0.5 gallon

B. 1.5 gallons

C. 2 gallons

D. 2.5 gallons

Answers

its actually 1.5 but ok

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Milo wants to make a mixture that is 50% lemon juice and 50% lime juice.

Milo has a juice mixture that is 20% lemon juice and 80% lime juice. Milo add a 100% lemon juice.

Let the 100% lemon juice added by milo be x.

In 4 gallon of mixture contains 50% lemon juice and 50% lime juice. It means 2 gallon lemon juice and 2 gallon lime juice.

If we add 100% lemon juice, then the quantity of lime juice will remains same.

80% of the fist mixture is 2 gallon.

20% of the first mixture is 0.5 gallon.

It means the first mature contains 2 gallon lime juice and 0.5 gallon lemon juice.

Milo will add 100% lemon juice

[tex]2-0.5=1.5[/tex]

Therefore option B is correct.

Other Questions

Find the product of (x + 7)2. (1 point)x2 14x + 49x2 + 14x + 49x2 49x2 + 49 which explains why Mr. Craven decide to see Mary Using these lines from Act I and Act IV, explain how the Macbeth described in the beginning of the play is different from the Macbeth who is speaking these lines in ACT IV. ACT I Soldier But all's too weak; For brave Macbeth,well he deserves that name, Disdaining fortune, with his brandish'd steel, Which smok'd with bloody execution, Like valor's minion,Carv'd out his passage Till he fac'd the slave; And ne'er shook hands, nor bade farewell to him, Till he unseam'd him from the nave to the chaps, And fix'd his head upon our battlements. Duncan. O valiant cousin! worthy gentleman! ACT IV Macbeth. Time, thou anticipat'st my dread exploits: The flighty purpose never is o'ertook Unless the deed go with it: from this moment The very firstlings of my heart shall be The firstlings of my hand. And even now, To crown my thoughts with acts, be it thought and done: The castle of Macduff I will surprise; Seize upon Fife; give to the edge o' the sword His wife, his babes, and all unfortunate souls That trace him in his line. No boasting like a fool; This deed I'll do before this purpose cool: But no more sights! According to the simulation, _______ helps predators to survive by allowing them to sneak up on their prey. a. camouflage b. mimicry c. speed d. night vision Please select the best answer from the choices provided _____________, which can be approximated by the growth of gross domestic product, ultimately determines the prevailing standard of living in a country. trade balance inflation education economic growth Please I need help ASAP (brainly + thank you + brainly) Simplify 1 + 4.25n + 3/2p - 3 + (-2p) +5/4n Did Charles sumner have the support of the people of Massachusetts The national union of women's suffrage societies (NUWSS) and the women's social and political Union (WSPU) most differed in which way? Which discipline provides inputs to the field of criminology?A.physicsB.chemistryC.mathematicsD.sociology* Its a criminology question* Which coordinate grid shows the correct locations of P(1, 2.5), point Q, which is a reflection of point P across the y-axis, and R(2, 2.5)? why does Henry David Thoreau use ethos in ''Resistance to Civil Government''? 10 pointsWhich argument for U.S. imperialism would Alfred Thayer Mahan agree with? Expansion of U.S. island territories is central to building a strong navy to defend the country. Expansion of U.S. territory could lead to wars with foreign powers, which should be avoided. Expansion of U.S. territory would show that the United States is an equal to European powers. Expansion of U.S. territories would open up new markets for the countries' industries. What is the medical term for swelling with mucus under the skin? lom? leaders of the economy, the military, and the government made up the _____, according to C. Wright Mills. According to ainsworth's research using the strange situation procedure, _____ infants used the mother as a safe base from which to explore the environment.a. securely attachedb. anxious/ambivalentc. maternally basedd. nonagoraphobic An organism that is multicellular, heterotrophic, has cell walls, and is unable to move independently would be classified into the the Kingdom ____________. Protista Fungi Animalia Plantae which strategy used during both world wars resulted in the mobilization of countries' entire populations to support war efforts ?A)Communism B)Total WarC)NationalismD)Trench Warfare One writer compared Wright's design of the Johnson building to _____.the classical buildings of Ancient Greecea woman swimming naked in a streama dreama waterfall if a circle has a radius of 2.5 inches what is the area of the circle