What are the solutions to x2 8x 7 = 0? x = –8 and x = –7 x = –7 and x = –1 x = 1 and x = 7 x = 7 and x = 8?

Answers

Answer 1
We want to solve
x² + 8x + 7 = 0

Factorize the left side.
x² + 8x + 7 = (x + 1)(x + 7)

Therefore
(x + 1)(x + 7) = 0
When (x + 1) = 0, obtain x = -1.
When (x + 7) = 0, obtain x = -7.

The solutions are x = -1 and x = -7

Answer: x = -7  and x = -1.


Answer 2

The correct solutions to the given equation are x = 1 and x = 7.

The solutions to the equation x² - 8x + 7 = 0 are x = 1 and x = 7.

To find these solutions, we can factor the quadratic equation by finding two numbers that multiply to 7 (the constant term) and add up to -8 (the coefficient of the x term).

Therefore, the correct solutions to the given equation are x = 1 and x = 7.


Related Questions

Simplify
Y+ z -2y. If y=4 and z=2

Answers

y + z - 2y
(4) + (2) - 2(4)
4 + 2 - 8
6-8
-2

Hope this helped!

If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x?

Answers

Well since h(x) = 5 and h(x) = 2x+1, we know that 5 = 2x+1. Now we just solve.

5 = 2x+1
4 = 2x
2 = x

We can check this by putting x = 2 in the original equation.

5 = 2(2)+1  Which is true.

If you have any questions just ask!

Mr. Plum's math class of 25 students had an average of 85 on a test. Miss Scarlett's class of 22 students had an average of 87 on the same test. What is the average of the two classes combined?

Answers

Add the two averages together and then divide it by 2. Thats your answer.

A mean is an arithmetic average of a set of observations. The average of the two classes combined is 85.936.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Mr. Plum's math class of 25 students had an average of 85 on a test.

Average = Total marks /Total number of students

Total marks of Mr. Plum's class = Total number of students × Average

Total marks of Mr. Plum's class = 25 × 85

Total marks of Mr. Plum's class = 2,125

Miss Scarlett's class of 22 students had an average of 87 on a test.

Average = Total marks /Total number of students

Total marks of Miss Scarlett's class = Total number of students × Average

Total marks of Miss Scarlett's class = 22 × 87

Total marks of Miss Scarlett's class = 1,914

Further, the average of the two classes combined is,

Average = Total marks / Total students

              = (2,125 + 1914)/(25+22)

              = 4039/47

              = 85.936

Hence, the average of the two classes combined is 85.936.

Learn more about Mean here:

https://brainly.com/question/16967035

#SPJ2

You have $200 in your savings account. You take $35 from your account each week for four weeks. How much is left in your account at the end of the four weeks?

Answers

It would be $60!
3x4=140
140-200=60
200-140=60
35 dollars * 4 weeks = 140 dollars
subract this from 200, and at the end of the week you will have 60 dollars.

If it takes six men six days to dig six holes, how long will it take one man to dig half a hole?

Answers

It will take 3 days for 1 man to dig half of that complete hole.

What are direct and inverse proportion ?

Direct proportion if increase in one quantity also results in increase in another quantity for example price and weight of something.

Inverse proportion is when increase in one quantity results in decrease in another quantity for example time is inversely proportional to (speed when distance is constant.

According to the given question

6 men are working together then it takes them 6 days to dig 6 holes.

∴ Number of men days = 6 days × 6 men = 36 men days

So, in 36 men days 6 holes are dug. Now the men days and the number of holes being dug are in direct proportion with one another.

Hence number of men-days required to dig one hole

= 36/6 men days

= 6 men days

∴ No. of men days required to dig half a hole

= 6/2

= 3 men days

So, It takes 1 man 3 days to dig half a hole.

Learn more about Time and work here :

https://brainly.com/question/3854047

#SPJ2

A rectangular athletic field is twice as long as it is wide. if the perimeter of the athletic field is 192 ​yards, what are its​ dimensions

Answers

P = 2(L + W)
P = 192
L = 2W

192 = 2(2W + W)
192 = 2(3W)
192 = 6W
192/6 = W
32 = W <=== the width is 32 yards

L = 2W
L = 2(32)
L = 64 <=== the length is 64 yards

What is the distance between -3 and 6?

-9

-3

3

9

Answers

9 is the answer to your question!
Hope this helps!

if last years sales were $200,000 and this years increase was 250% how much are this years sales

Answers

This years sales is 240,000 dollars





Answer:

$700000

Step-by-step explanation:

We are given that last year sales=$200,000

This year sales  increases=250%

We have to find the earn money from this year sales

Let x be the earn money in this year

According to question

[tex]\frac{250}{100}\times 200000+200000=x[/tex]

[tex]x=500000+200000=700000[/tex]

Hence, this year sales=$700000

Factor the expression. k2 + kf – 2f2

Answers

Work: k^2+kf-2f^2
Factor
(K+2f)(k-f)
Answer: (k+2f)(k-f)
Check your work:
K+2f k-f
K^2+2kf-kf-2f^2
K^2+kf-2f^2

The answer is correct

Answer:

Factorized form of the given expression is (k + 2f)(k - f).

Step-by-step explanation:

The given expression is k² + kf - 2f² and we have to factorize the given expression.

k² + kf - 2f² = k² + 2kf - kf - 2f²

= k(k + 2f) - f(k + 2f)

= (k + 2f)(k - f)

So the factorized form of the expression is (k + 2f)(k - f).

How you will go about preparing yourself to confidently teach numeracy?

Answers

In preparation of yourself in having to teach numeracy, it is best to substantiate if learning the numeracy will have benefits or advantages, such as having to help other people or even empower them as an adult people learning and think of ways how will this could be important to them.

Graph Jkl and its image after a reflection in the given line J(5,3), K(1,-2), l(-3,4); y-axis

Answers

The reflection (x,y) over the y-axis is (-x,y)
So this yields J(-5,3), K(-1,-2), I(3,4)

When a shape is reflected, it must be reflected across a line.

See attachment for the graphs of JKL and the image of JKL

The coordinates of JKL are given as:

[tex]J = (5,3)[/tex]

[tex]K = (1,-2)[/tex]

[tex]L = (-3,4)[/tex]

The rule of reflection across the y-axis is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]J' =(-5,3)[/tex]

[tex]K' =(-1,-2)[/tex]

[tex]L' = (3,4)[/tex]

See attachment for the graphs of JKL and the image of JKL

Read more about reflections at:

https://brainly.com/question/938117

1/3(9-6m)+1/4(12m-8)

Answers

Answer:

[tex]m+1[/tex]

Step-by-step explanation:

The question is

Simplify the expression

we have

[tex]\frac{1}{3}(9-6m)+\frac{1}{4}(12m-8)[/tex]

using the distributive property

[tex]\frac{1}{3}(9)-\frac{1}{3}(6m)+\frac{1}{4}(12m)-\frac{1}{4}(8)[/tex]

[tex]3-2m+3m-2[/tex]

Combine like terms

[tex]m+1[/tex]

Which of the following inequalities contains points only in the first and second quadrants?
y > 4x2 − 1y ≤ 2x2 + 1y > −2x2 + 3y > 2x2 − 3x + 2

Answers

hmmm show me what u know and then i can tell u the right answer that u are looking for

TRUE OR FALSE:if a function uses variables other than x and y for its input and output variables, you take the original and solve for the output variable to find the inverse.

Answers

Answer: False for apex

Step-by-step explanation: 1. because it is

2. for the junior monitor that deleted my answer, back off.

Answer:

false for apex

Step-by-step explanation:

Solve the following system of linear equations. 3x + 2y = 10 2x + 3y = 15/2 No solution y = (-3/2)x + 5 x = 3, y = -1/2 x = 3, y = 1/2

Answers

The solution of the equations is the point(3,1/2)

What is the solution to a linear equation?

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: 3x + 2y = 10 2x + 3y = 15/2  Solving the two equations we get

the solution as x=3 and y=1/2

Hence, the solution of the equations is the point(3,1/2)

Learn more about the solution to a linear equation here:

https://brainly.com/question/545403

#SPJ2

Final answer:

Using the elimination method, we solved the system of linear equations to find that the solution is x = 3 and y = 1/2.

Explanation:

The student is asking us to solve a system of linear equations. The equations given are:

3x + 2y = 10

2x + 3y = 15/2

To solve these equations, we can use either substitution or elimination method. Let's go ahead with the elimination method to find the values of x and y.

Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x the same:

9x + 6y = 30 (multiplying the first equation by 3)

4x + 6y = 15 (multiplying the second equation by 2)

Now, subtract the second equation from the first equation to eliminate y:

9x + 6y - (4x + 6y) = 30 - 15

5x = 15

x = 3

Now plug x=3 into the first original equation:

3(3) + 2y = 10

9 + 2y = 10

2y = 1

y = 1/2

Therefore, the solution to the system of equations is x = 3 and y = 1/2.

A person 6 ft tall casts a shadow 5​ft long. at the same​ time, a nearby tree casts a shadow 31 ft long. find the height of the tree

Answers

Therefore, the tree's height is 37.2 feet.

We can use proportions to find the height of the tree based on the shadow it casts and compare it to the height and shadow of a known object (in this case, a person). Given that a person 6 ft tall casts a 5 ft long shadow, we can set up a proportion with the tree's 31 ft long shadow to find its height. The formula we use for this comparison is:

Person's Height / Person's Shadow = Tree's Height / Tree's Shadow

Plugging in the numbers:

6 ft / 5 ft = Tree's Height / 31 ft

Now, we solve for the Tree's Height:

6 ft * (31 ft / 5 ft) = Tree's Height

Tree's Height = 37.2 ft

Therefore, the height of the tree is 37.2 feet.

Use the graph below to fill in the blank with the correct number

Answers

Thanks for the question!

The answer is 1. If we go to where the x-coordinate is 1, we see that there is a point with a y-coordinate of 1.

Hope this helps!

Compare and contrast equation notation and function notation

Answers

An equation is a relationship whose primary use is solving for a value.
An equation makes use of the equality (=) sign.
An example of an equation is x + 6 = 46.

A function is a mathematical machine whose purpose is to transform input variables into output according to the function rule.
A function can be described by an equation, a graph, a program, a table, etc.
An example of a function is y = 2x - 5.

When the towels from a hotel were divided evenly among 5 laundry baskets, each basket contained 18 towels. Which equation, when solved, will show how many towels there were in all? t ÷ 5 = 18 5 ÷ t = 18 90 ÷ t = 18 18 – t = 5

Answers

t/5 = 18

you are dividing t (the number of towels) into 5 different laundry baskets, each resulting in 18 being put inside

Therefore, your equation is t/5 =18, whereas t = 90

hope this helps
t / 5 = 18 <== ur equation

t/5 = 18
t = 18 * 5
t = 90 <== there were a total of 90 towels

Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit. (x - 5)5

Answers

well, using the binomial theorem, is far simpler, since you get the coefficient as you go and only the ones you need.

[tex]\bf (x-5)^5\implies \begin{array}{llll} term&coefficient&value\\ -----&-----&-----\\ 1&+1&(x)^5(-5)^0\\ 2&+5&(x)^4(-5)^1\\ 3&+10&(x)^3(-5)^2\\ 4&+10&(x)^2(-5)^3\\ 5&+5&(x)^1(-5)^4\\ 6&+1&(x)^0(-5)^5 \end{array}[/tex]

notice, with the binomial theorem, you start the first element with the highest exponent, in this case 5, and the second element with 0, and then you gradually decrease it by 1 to the first one and increase it by 1 to the second one.

That part is rather simple, now, to get the coefficient, the 1st coefficient is 1 for one, to get the next one is "the product of the current coefficient and the exponent of the first element, divided by the exponent of the second element on the next term"...which is a mouthful...but anyway ... for example

how did we get 10 for the 3rd term?  5 * 4 / 2

how did we get 10 again for the 4th term though?  10 * 3 / 3

and the 5th coefficient?    10 * 2 / 4

and so on.

so, just combine those, and that's the expansion for that binomial.

Answer:

The expansion is [tex](x-5)^5= x^5-25x^4+250x^3-1250x^2+3125 x-3125[/tex]

Step-by-step explanation:

Given : Expression [tex](x-5)^5[/tex]

To find : Expand the following using either the Binomial Theorem or Pascal’s Triangle?

Solution :

Applying binomial theorem,

Defined as [tex](p+q)^n=\sum_{r=0}^{n} ^nC_rp^{n-r} q^r[/tex]

Where, [tex]^nC_r=\frac{n!}{(n-r)!r!}[/tex]

Now, expanding [tex](x-5)^5[/tex] by binomial formula,

We have,

[tex](x-5)^5=\sum_{r=0}^{5} ^5C_rx^{5-r} (-5)^r[/tex]

Open the summation,

[tex]\Rightarrow ^5C_0 x^{5-0} (-5)^0 + ^5C_1 x^{5-1} (-5)^1 + ^5C_2 x^{5-2} (-5)^2 + ^5C_3 x^{5-3} (-5)^3 \\+ ^5C_4x^{5-4} (-5)^4 + ^5C_5x^{5-5} (-5)^5[/tex]

[tex]\Rightarrow (1)(x^5)(1)+(5)(x^4)(-5)+(10)(x^3)(25)+(10)(x^2)(-125)+(5)(x^1)(625)+(1)(1)(-3125)[/tex]

[tex]\Rightarrow x^5-25x^4+250x^3-1250x^2+3125 x-3125[/tex]

Therefore, The expansion is [tex](x-5)^5= x^5-25x^4+250x^3-1250x^2+3125 x-3125[/tex]

Which term describes the set of all possible outcomes for a probability event?

Answers

The answer is Sample space !!!
probability model describes the set of all possible outcomes for a probability event. A probability model is the mathematical representation of the random phenomenon in probability model.

write the ratio six to seven in other ways

Answers

ratios can be written in 3 ways :
a to b
a/b
a:b

so ur ratio 6 to 7 can be written as 6/7 or 6:7
As a fraction form
The two dotes :
_to_

Take -4 + 3a 2 from 7a - a 2

Answers

the answer would be from -a²+4a+4 this is the combined form

then to simplify this to get 2

to simpify you must move all terms to the left side,then set equal to 0 then set each factor to equal zero


Subtracting [tex]\( -4 + 3a^2 \)[/tex] from [tex]\( 7a - a^2 \)[/tex] yields [tex]\( 7a - 3a^2 + 4 - a^2 \)[/tex], after distributing the subtraction and combining like terms.

To subtract [tex]\( -4 + 3a^2 \)[/tex] from [tex]\( 7a - a^2 \)[/tex], we need to distribute the subtraction across both terms in [tex]\( 7a - a^2 \)[/tex] and then combine like terms:

[tex]\[ (7a - a^2) - (-4 + 3a^2) \][/tex]

Distributing the subtraction:

[tex]\[ 7a - a^2 + 4 - 3a^2 \][/tex]

Now, combine like terms:

[tex]\[ (7a - 3a^2) + (4 - a^2) \][/tex]

So, the result of subtracting [tex]\( -4 + 3a^2 \)[/tex] from [tex]\( 7a - a^2 \)[/tex] is [tex]\( 7a - 3a^2 + 4 - a^2 \)[/tex].

Comlpete Question:

Take [tex]\( -4 + 3a^2 \)[/tex] from [tex]\( 7a - a^2 \)[/tex]

The first aircraft has 75 more seats than the second aircraft. The third aircraft has 49 fewer seats than the second aircraft. If their total number of seats is 401​, find the number of seats for each aircraft.

Answers

1st = 75+x

2nd = x

3rd = x-49


401 = 75 +x+ x+ +x-49

401 = 75+3x-49

401 = 3x+26

375=3x

x=375/3 = 125


1st = 125+75 = 200

2nd = 125

3rd = 125-49 = 76

200 + 125 +76 = 401

Joe has $1,800 from his summer job to invest. If Joe wants to have $2,340 altogether and invests the money at 5% simple interest, in how many years will Joe have $2,340?

Answers

it's depending on the job joe has

There are 3 drama movies 8 comedy movies and 4 action movies what's the ratio of dramas to movies ?

Answers

3:12 or 1:4 write both and ask which one is better to use
3:15, 3/15, or 3 to 15.

How I got that was add all of the 3 types of movies together. 3+8+4= 15. And there are 3 drama movies. So I looked at "the ratio of DRAMA, to MOVIES.", and I wrote down what was first. 

I'm not sure if I made sense, sorry. But 

How many license plates can be made using 2 digits then 5 letters if repeated digits and letters are not allowed?

Answers

In this question, we made a license that does not allow repeated digit and letter. That means the probability count of letter and digit will be decreased by 1 for every roll.
There is 10 kinds of digits (0-9) and 26 kinds of letters (a to z). So, 2 digits and 5 letter would be:
(10 * 9) * (26 * 25 * 24 * 23 * 22)= 710424000 kinds of license plates

solve for n

4n + 2 = 6 (1/3n - 2/3)

Answers

See the picture above for the answer :)

The solution of expression for the value of n is, n = - 3.

Used the concept of expression that states,

Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that,

The expression is,

[tex]4n + 2 = 6 (\dfrac{1}{3} n - \dfrac{2}{3} )[/tex]

Now simplify the expression by combining like terms and apply the distributive property as,

[tex]4n + 2 = 6 (\dfrac{1}{3} n - \dfrac{2}{3} )[/tex]

Apply distributive property,

[tex]4n + 2 = (\dfrac{6}{3} n - \dfrac{12}{3} )[/tex]

[tex]4n + 2 = 2n - 4[/tex]

Combine like terms,

[tex]4n - 2n = - 4 - 2\\[/tex]

[tex]2n = - 6\\[/tex]

[tex]n = - 3[/tex]

Therefore, the value of n is - 3.

To learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

What is the solution to the compound inequality in interval notation? 2(x+3)>6 or 2x+3≤−7

Answers

for 2(x+3)>6 x would = 0 and for 2x+3<-7  x would = -5



hope this helps

Answer:  The required solution in interval notation is [tex](0,\infty)U(-\infty,-5].[/tex]

Step-by-step explanation:  We are given to find the solution to the following compound inequality in interval notation :

[tex]2(x+3)>6~or~2x+3\leq -7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the solution to (i), we must solve both the parts separately.

The inequality (i) can be solved as follows :

[tex]2(x+3)>6\\\\\Rightarrow x+3>\dfrac{6}{2}\\\\\Rightarrow x+3>3\\\\\Rightarrow x>3-3\\\\\Rightarrow x>0\\\\\Rightarrow x\epsilon (0,\infty)[/tex]

or

[tex]2x+3\leq-7\\\\\Rightarrow 2x\leq-7-3\\\\\Rightarrow 2x\leq -10\\\\\Rightarrow x\leq -\dfrac{10}{2}\\\\\Rightarrow x\leq-5\\\\\Rightarrow x\epsilon(-\infty,-5].[/tex]

Thus, the required solution in interval notation is [tex](0,\infty)U(-\infty,-5].[/tex]

Find the zeros with multiplicity for the function p(x) = (x^3 – 8)(x^5 – 4x^3)

Please show steps

Answers

x^3 - 8 = 0   Gives  us a zero of x = 2

x^5 - 4x^3 = 0   gives  another zero  of x = 0

x^3(x^2 - 4)  = 0  gives 2 more zeros (x^2 = 4  so x = 2, -2)

So the answer is  -2, 0 and 2 multiplicity 2
Other Questions
When artists challenge existing conventions of art, they are considered to be ________________? How many tens are in 3,100 How are smaller molecules like o2 and co2 able to pass through the openings of a cell membrane A tank whose volume is unknown is divided into two parts by a partition. one side of the tank contains 0.03 m3 of refrigerant-134a that is a saturated liquid at 0.9 mpa, while the other side is evacuated. the partition is now removed, and the refrigerant fills the entire tank. if the final state of the refrigerant is 208c and 280 kpa, determine the volume of the tank. How were the virginia plan and new jersey plan alike ? What group was formed in the late 1800s to help the interests of farmers? Which territories did the Italians lose to France during their process of unification ? If a drop in the price of taxicab fares shifts the demand curve of private limousine rentals leftward, what does this signify The united states signed a treaty with which european country to gain the oregon country What political, economic, and cultural issues led to the growing rift between the north and south which would ultimately lead to the civil war? Why did the confederate States want to secede? Jimenez transportation purchased five new transportation vehicles in 2016. they plan to pay these vehicles off in even installments over the next 8 years. on the 2017 year-end financial statements, how would the amount jimenez plans to pay off in 2018 differ from the amount they plan to pay off in 2019 In much of the nineteenth century, women in texas were legally prohibited from: Explain why anatomical and molecular features often fit a similar nested pattern. in addition, describe a process that can cause this not to be the case. Scientists distinguish whether an entity is living or nonliving by describing the _____ of life.a.characteristicsb.valuec.lengthd.quality Read the passage from To Build a Fire. What idea is being conveyed?The dog was disappointed and yearned back toward the fire. This man did not know cold. Possibly all the generations of his ancestry had been ignorant of cold, of real cold, of cold one hundred and seven degrees below freezing-point. But the dog knew; all its ancestry knew, and it had inherited the knowledge. And it knew that it was not good to walk abroad in such fearful cold. It was the time to lie snug in a hole in the snow and wait for a curtain of cloud to be drawn across the face of outer space whence this cold came.A.The dog is more fit for survival in this harsh environment than the man is.B.The dog understands why the man wants to leave the fire.C.Our learning is more important than the instincts we are born with.D.The mans ancestors were from the arctic and so were the dogs. If depreciation equals $36 billion, gnp equals $240 billion, and national income is $225 billion, then what is the net national product? 44cm is rounded to the nearest whole cm. Write down the maximum possible length it could have been. The temperature dropped 3 C every hour for 5 hours.Write an integer that represents the change in temperature. 20 Points!!!When you add a negative and a positive the answer is: Neg/PosWhen you add numbers with with the same sign the answer is: Neg/PosWhen you subtract a negative and a positive the answer is: Neg/Pos When you subtract numbers with the same sign, the answer is: Neg/Pos Steam Workshop Downloader