Solve the following quadratic equation: (8x+7)(x+1)=9

Answers

Answer 1

Answer:

[tex]x=\dfrac{1}{8}, \quad x=-2[/tex]

Step-by-step explanation:

Given equation:

[tex](8x+7)(x+1)=9[/tex]

Expand the brackets:

[tex]\implies 8x^2+15x+7=9[/tex]

Subtract 9 from both sides:

[tex]\implies 8x^2+15x+7-9=9-9[/tex]

Simplify:

[tex]\implies 8x^2+15x-2=0[/tex]

To factor a quadratic equation in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:

[tex]\implies ac=8 \cdot -2=-16[/tex]

[tex]\implies b=15[/tex]

Therefore, the two numbers are:  16 and -1.

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies 8x^2+16x-x-2=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies 8x(x+2)-1(x+2)=0[/tex]

Factor out the common term (x + 2):

[tex]\implies (8x-1)(x+2)=0[/tex]

Apply the zero-product property:

[tex]\implies 8x-1=0 \implies x=\dfrac{1}{8}[/tex]

[tex]\implies x+2=0 \implies x=-2[/tex]

Therefore, the solutions to the given quadratic equation are:

[tex]x=\dfrac{1}{8}, \quad x=-2[/tex]

Learn more about factoring quadratic equations here:

https://brainly.com/question/27956741

https://brainly.com/question/27947331

Answer 2

Answer:

x = 1/8 (or) x = -2

Step-by-step explanation:

Now we have to,

→ solve the following quadratic equation.

Let's solve for quadratic equation,

→ (8x+7)(x+1) = 9

→ 8x² + 7x + 8x + 7 - 9

→ 8x² + 15x - 2

→ 8x² + 16x - x - 2

→ 8x(x + 2) - 1(x + 2)

→ (8x - 1)(x + 2)

→ x = 1/8 (or) x = -2

Hence, the solution is x = 1/8, -2.


Related Questions

Lenny makes 55,000 per year and gets annual raises of 20,000 how many years why will it take lenny and kenny to make the same annual salary

Answers

Answer:

14,987

Step-by-step explanation:

A bird flies from the bottom of a canyon that is 51 3/10 feet below sea level to a nest that is 737 1/10 feet above sea level.

Answers

685.8 feet

Sea level is a reference to elevation of the ocean or land interface called the shoreline.

Land that is above this elevation is higher than sea level and lower is below sea level.

The bottom of the canon is at 51 3/10 below the sea level which is also written as -51 3/10 ……(1)

The nest is at 737 1/10 feet above the sea level so it is expressed as

737 1/10  ….(2)

To find the distance between the bottom of the canyon and the bird’s nest we subtract (2) from (1)

737.1 – 51.3

= 685.8 feet

Learn more about elevation here:

https://brainly.com/question/27243378

#SPJ9

The price of a train ticket from Atlanta to Phoenix is normally $131.00. However, the train company is offering a special 70% discount to children under the age of 16. What is the sale price of a ticket from Atlanta to Phoenix for someone under the age of 16?

$91.70
$39.30
$222.70
$55.02

Answers

Answer:

$39.30

Step-by-step explanation:

First find out 70% which is $91.70

And then do 131-91.70=39.30

please give me brainiest and hope this helped let me know if you have any questions

b. For mixing a spray to kill weeds, Howard is to
use 2 1/2 tablespoons for each gallon of water.
How many tablespoons of the spray will he
need to use for 5 gallons of water.

Answers

The 12.5  tablespoons of the spray will he need to use for 5 gallons of water.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

For mixing a spray to kill weeds, Howard is to use 2 1/2 tablespoons for each gallon of water.

We have to find How many tablespoons of the spray will he need to use for 5 gallons of water..

According to given question we have

2 1/2 =5/2 tablespoons for each gallon of water.

5/2 tablespoons =1 gallon of water.

1 gallon of water=5/2 tablespoons

5 gallons of water=5/2*5 tablespoons

5 gallons of water=25/2 tablespoons=12.5  tablespoons

Therefore, the 12.5  tablespoons of the spray will he need to use for 5 gallons of water.

Learn more details about arithmetic here:

https://brainly.com/question/11559160

#SPJ1


PLEASE HELP!!! An equation in slope intercept form of the line that passes through the points (-3, 5)
and (2, 15) is

Answers

Answer:

y = 2x + 11

Step-by-step explanation:

To find the slope, use the equation (y2 - y1)/ (x2 - x1). You get (15 - 5)/(2 - (-3), or 2. Then, use the slope you just found in the equation y - y1 = slope (x - x1), or y - 15 = 2 (x - 2). Simplifying down you get y = 2x -4 + 15, or y = 2x + 11, which is your final answer.

Hope this helps! Let me know if you have any confusion!

The circle graph shows the most important problems for
the 14,054,077 high school teenagers in a country..
Without using a calculator, estimate the number of high
school teenagers for whom doing well in school is the
most important problem.
Most Important Problems for High School Teenagers
Doing Wel in School, 12%
Social Pressures and Fitting in, 22%
Drugs, 22%
Others, 29%
Getting along with Parents. 2%
Geting into College, 2%
Sexual Issues, 2%
Crime and Violence in School, 9%
Doing well in school is the most important problem for approximately how many of the high school teenagers?
OA. 4,200,000
OB. 1,400,000
LOC. 2,800,000
OD. 5,600,000

Answers

According to the circle graph, doing well in school is a problem that affects B. 1,400,000 high school teenagers.

Which high school students are affected?

The circle graph shows that 12% of high school students have the problem of doing well in school.

In actual numbers, this is:

= 12% x number of high school teenagers

Solving gives:
= 12%  x 14,054,077

=  1,686,489 students

= 1,400,000 approximate

In conclusion, option B is correct.

Find out more on circle graphs at https://brainly.com/question/24461724

#SPJ1

is d=2t proprtional?????

Answers

Answer:  Yes

The direct variation equation is in the form d = kt, where k is some constant. It's the constant of proportionality. In this case k = 2.

Write the expression
(−7)⋅(−7)⋅5⋅5⋅5⋅5
using exponents.

Answers

Answer:

-7²·5⁴

Step-by-step explanation:

there are two 7

and four 5

a man and a woman, both with brown eyes (bb), have a child. what is the percentage chance that the child will have blue eyes?

Answers

Answer and Explanation:
If a man and a woman, both with brown eyes (Bb), have a child, then the percentage chance that the child will have blue eyes will be 25%.

PLEASE SHOW WORK
----------------------------------------------

Answers

Answer:

Step-by-step explanation:

what is 9^256? will give brainliest

Answers

Answer:

1.93233498E244

Step-by-step explanation:

Answer:

3.14159265

Step-by-step explanation:

You will get 1 thanks, 5 stars, and 15 points if you answer!

Answers

Answer:

It's C/ Option 3

Step-by-step explanation:

trust me

Can someone help me with the radius? please and thank you

Answers

Answer:

r=7cm

Step-by-step explanation:

the diameter (distance from one side of the circle to the opposite side) is given in the picture. the radius is 1/2 the diameter, so r=7cm

*i'm assuming the 14cm given is referring to the straight line in the circle and not the circumference

A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a.

Answers

For a continuous distribution, the uniform distribution describes equal probability over a specific range. It is crucial as a reference distribution because of this. The creation of random numbers is one of the uniform distribution's most significant uses.

A particular probability distribution is called a binomial distribution. It is used to simulate the likelihood of getting one of two results out of a certain number of trials (N) of a discrete random event.

The expected outcome is referred to as a success in a binomial distribution, whereas any other event is referred to as a failure. A successful outcome has a probability of p, while a failure has a chance of 1 - p.

In n draws without replacement from a finite population of size N that contains exactly K objects with that feature, the hypergeometric distribution, a discrete probability distribution, describes the likelihood of k successes (random draws for which the drawn object has a specified feature), where each draw is either successful or unsuccessful. The binomial distribution, on the other hand, describes the likelihood of k successes in n draws with replacement.

The normal distribution sometimes referred to as the Gaussian distribution, is a probability distribution that is symmetric about the mean and demonstrates that data that are closer to the mean are more likely to occur than data that are farther from the mean. The normal distribution is depicted graphically as a "bell curve."

The correct option is (b) binomial probability distribution.

Learn more about probability here:

https://brainly.com/question/13604758

#SPJ4

each 14 pound of potting soil contains 316 cups of water.how many cups of water are contained in 1 pound of potting soil?34 cups3 over 4, cups1116 cups1 and 1 over 16, cups112 cups1 and 1 half, cups113 cups

Answers

The number of cups of water contained in 1 pound of potting soil will be 3 / 4. The correct option is A.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that each 14-pound of potting soil contains 3/6 cups of water. The number of the cups will be calculated by forming an expression below:-

Number of cups = (4 x 3/6)

Number of cups = 12/16  

Number of cups = 3/4 of a cup

Therefore, the number of cups of water contained in 1 pound of potting soil will be 3 / 4. The correct option is A.

The correct question is given below:-

Each 14-pound of potting soil contains 316 cups of water.

How many cups of water are contained in 1 pound of potting soil?

34 cups

1116 cups

112 cups

113 cups

To know more about an expression follow

https://brainly.com/question/20023959

#SPJ4

the names of 0 employees are written on 0 cards. the cards are placed in a​ bag, and three names are picked from the bag. what sampling technique was​ used?

Answers

The names of 0 employees are written on 0 cards. the cards are placed in a​ bag, and three names are picked from the bag - here simple random sampling technique was used.

What is simple random sampling?

Basic irregular testing can provide you with an extremely precise image of how your motto performs with the typical individual, yet it won't give you nitty gritty data about unambiguous gatherings. Utilizing straightforward irregular testing permits scientists to make speculations about a particular populace and leave out any inclination. This can assist with deciding how to settle on future choices. It has been expressed that "the rationale behind straightforward arbitrary examining is that it eliminates predisposition from the choice method and ought to bring about delegate tests".

Learn more about simple random sampling, refer:

https://brainly.com/question/27972803

#SPJ4

pls help 6x+15=6(x-3) pls help with answer and explaining

Answers

Answer:

-33

Step-by-step explanation:

distribute;

6x + 15 = 6x - 18

subtract;

-15

simplify;

- 33

subtract from both sides;

-6

total;

-33

Answer:Answer is 0=-33

Step-by-step explanation:What you need to do is bring x by itself on one side and the other numbers on the other side The steps are

6x+15=6x-18

6x-6x=-18-15

0=-33

                         

Systems of equations with graphing

Answers

The correct option is A. x = 1(1/3) and y = 2(1/3) in the mixed fractions.

What is defined as the system of equations?

A system of equations is a collection of equations that all have the same variables.

If all of the equations are linear, you get a system of linear equations! To fix a system of equations, you must first determine the variable values that will solve all of the equations involved.A solution to an equation system is a set of variable values that satisfy all of the equations at the same time

Now, the given equation in the question are-

7x - y = 7      ........(equation 1)

and x + 2y = 6     ........(equation 2)

Multiplying both side of equation 1 with 2, we get

14x - 2y = 14         ........(equation 3)

Add equation 2 and 3.

x + 2y + 14x - 2y = 6 + 14

15x = 20

x = 4/3

x = 1(1/3)

Substitute the value of x in equation 1.

4/3 + 2y = 6

2y = 6 - 4/3

2y = 14/3

y = 7/3

or y = 2(1/3)

Therefore, the values for variables x and y are calculated as:

x = 1(1/3) and y = 2(1/3).

To know more about the system of equations, here

https://brainly.com/question/25976025

#SPJ9

simplify the following expression:
3 - x (4 + x) if x = 2

Answers

Answer:

Step-by-step explanation: We can plug 2 into the equation for x:

3 - 2(4 + 2)

Now let's distribute:

3 - 8 - 4

Now we can solve:

3 - 8 = -5

-5 - 4 = -9

Final answer: 3 - x(4 + x) = -9

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. if they toll together at 11:00, at what time will they toll together again?

Answers

If Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10, and 12 seconds respectively and toll together at 11:00, then they will toll together again at 11:02.

Least common multiple abbreviated as LCM is used to determine the time at which the six bells will toll together again.

The least common multiple of two or more numbers is the smallest number that is a multiple of those numbers.

The least common multiple of 2, 4, 6, 8, 10, and 12 can be found by prime factorization.

Prime factorization of :

2 = 2^1

4 = 2 x 2 = 2^2

6 = 2 x 3

8 =  2^3

10 = 2 x 5

12 = 2 x 2 x 3 = 2^2 x 3

The least common multiple can be calculated by the multiplication of the prime factors raised to their highest power.

Therefore,

LCM = (2^3) (3) (5) = 120

Hence the bells will toll together again after 120 seconds

As 120 seconds = 2 minutes

Therefore, the time at which they will toll together again is calculated to be 11:02.

To learn more about the least common multiple, click here:

https://brainly.com/question/13066728

#SPJ4

EVALUATING EXPI

Evaluate the expression below
when g = 10
6g²

Answers

Answer:

600

Step-by-step explanation:

Expression given:

6g²

Find its value when g = 10:

6g² = 6(10²) = 6(100) = 600

Determine the range of f(x) = |x| + 3

Answers

The range of the function f(x) = |x|+3 is [3,∞)

Given,

The function f(x) =|x|+3

Consider

f(0)=|0|+3= 3

f(1)=|1|+3= 4

f(2)=|2|+3= 5

We know

|x|≥0

So even if we take negative value for x, the |x| will be positive

So,

f(-1)=|-1|+3=1+3=4

f(-2)=|-2|+3= 2+3=5

We know, range is the set of all possible outcomes.

The range of the function f(x)= |x|+3 = [3,∞)

Hence, the range of the function f(x) = |x|+3 is [3,∞).

Learn more about range here

brainly.com/question/17440903

#SPJ1

Answer:

 {y | 3 ≤ y < ∞}

Step-by-step explanation:

Given: B is between A and C, AB = 3x -4, BC = 4x + 2, and AC = 26. What is the value of x?
A. 6
B. 4
C. 3.7
D. 5

Answers

Answer:

B

Ab + bc =ac

3x-4 + 4x+2 =26

7x=28

x=4

Write down the equations for the lines whose graphs are depicted below.

Answers

The equation for the lines whose graph is depicted below is y = x/2.

How to write the equations for the lines?

In order to write the equations for these straight lines, we would have to determine the slope of the straight lines.

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

From the graph (see attachment), we have the following data:

Points on x-axis = (0, 2).

Points on y-axis = (0, 1).

Substituting the given points into the formula, we have;

Slope, m = (1 - 0)/2 - 0)

Slope, m = 1/2.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

At point (2, 1), we have:

y - 1 = 1/2(x - 2)

y - 1 = x/2 - 1

y = x/2 - 1 + 1

y = x/2.

Read more on slope here: https://brainly.com/question/11586413

#SPJ1

This week felicia will practice with her band for 112 hours on monday,134 hours on tuesday, and 2 hours on wednesday. next week felicia will practice with her band for the same number of hours on monday, tuesday, and wednesday. what is the total number of hours felicia will practice with her band over these 6 days?

Answers

Felicia will practice for a total of 496 hours

How to calculate the total number of hours spent ?

Felicia will practice for 112 hours on Monday

She will practice for 134 hours on Tuesday

She will practice for 2 hours on Wednesday

Total number of hours spent in week 1= 112 + 134 + 2

= 248 hours

She did the same routine the following week

= 248 × 2

= 496

Hence Felicia will practice for a total of 496 hours for the 6 days

Read more here

https://brainly.com/question/15811361?referrer=searchResults

#SPJ1

the median of 6 consecutive integers is 9. what is the largest number

Answers

If the median of 6 consecutive integers is 9, the largest number is equal to 8.5.

Given the following data:

Median, M = 9.Number of consecutive integers, n = 6.

What is a median?

In Mathematics, a median can be defined as the middle number (center) of a sorted data set, which is when the data set is arranged in from the greatest to least or the least to greatest.

In Mathematics, the median of a data set is generally considered to be a better measure of center than the mean when there's an outlier in the data set.

For the largest number, we have:

Since consecutive integers must follow each other sequentially with a difference of 1, so the largest number is given by:

Largest number = Median + (n - 1)/2

Substituting the given parameters into the formula, we have;

Largest number = 6 + (6 - 1)/2

Largest number = 6 + (5)/2

Largest number = 6 + 2.5

Largest number = 8.5.

Read more on median here: brainly.com/question/9550536

#SPJ1

Given the quadrilateral with the following vertices a(-2,3) b(-2,6) c(-6,-1) and d (-6,2). is the quadrilateral a parallelogram?

Answers

The quadrilateral is a parallelogram.

Properties of parallelogram,

a>The opposite sides of the parallelogram are equal and parallel.

b>parallel lines have an equal slope.

Let now find the length of the opposite side of the parallelogram

To find the length we have ,

            [tex]\sqrt{(x_{2} ^{2} -x_{1} ^{2} ) +(y_{2} ^{2}-y_{1} ^{2} )}[/tex]


(-2, 3) , (-2, 6)

Slope = 6-3/ -2+2 = infinity

Length L1 = [tex]\sqrt{(-2 + 2)^{2} + (6 - 3)^{2} }[/tex]

                = 9

(-6, -1), (-6, 2)

Slope = 2+1/ -6 + 6 = infinity

Length L2 = [tex]\sqrt{(-6 + 6)^{2} + ( 2 + 1)^{2} }[/tex]

                = 9

Therefore the given vertices are of a parallelogram, as the  length and slope are equal.

To know more about the Parallelogram refer to the link given below:

https://brainly.com/question/970600

#SPJ4

HELP! 25 POINTS

Factorise: √ab(x² +1) + x(a+b)

Answers

You can complete the square

Please help me someone

Answers

Answer:

See the table below
For n, the answer is 2n+1

Step-by-step explanation:

The number of trees in each figure represents an arithmetic sequence where the difference between subsequent figures is 2  (caled the common difference)

So the sequence is

Figure(n)    Number of Trees

1                  3
2                 5  
3                 7
4                 9  (7+2)
5                11   (9+2)

n                 2n + 1

In general, for any arithmetic sequence we can write an equation for the nth term as [tex]a_n = a_0 + d(n-1)[/tex] where [tex]a_0[/tex] is the first term and d is the common difference

So for this example, we have [tex]a_0 = 3[/tex] and d=2 giving
[tex]a_n = 3 + 2(n-1) = 3 + 2n -2 = 2n + 1[/tex]

This is

lillian drew a scale drawing of a county park. the scale she used was 1 inch : 4 yards. the picnic area is 80 yards wide in real life. how wide is the picnic area in the drawing?

Answers

The picnic area is 20 inches wide in the drawing in her scale of 1 inch : 4 yards.

What is unitary method ?

Unitary method is a technique for first solving the value of a single digit unit and from there we can find the value of any given unit.

According to the given question lillian drew a scale drawing of a county park. the scale she used was 1 inch : 4 yards.

The picnic area is 80 yards wide in real life.

∴ The width of the picnic area in here drawing in inches will be

= 80/4 inches.

= 20 inches.

learn more about unitary method here :

https://brainly.com/question/21648365

#SPJ4

Other Questions
accreditation is a formal declaration by a designated approving authority (daa) that an ais is approved to operate in a particular security mode using a prescribed set of safeguards. the equation is -5 = -8+v/3 help On Earth, how do objects fall? (1 point)O toward the center of the Earth, as a result of gravityO toward the surface of the Earth, as a result of a force other than gravityO toward the center of the Earth, as a result of a force other than gravitytoward the sun, as a result of gravity What is the image of (8, -12) after a dilation by a scale factor of 1/4 centered at the origin? veintiunoOsesenta y uno9. When telling time in Spanish, what is the phrase used to indicate that it is quarter past thehour?Oy unoOy veinteOy mediaOy cuarto a typical atom has a diameter of about 1.0 10-10 m. approximately, how many atoms are there along a 1.0-inch line? grafica[tex]5y-15=-4x[/tex] An archetype found in both stories is An archetype found only in The Royal House of Thebes is 10. How has something asapple(s) greatlysimpleas anhelped Katniss twice so far? Ill give points + brainalist!! 0.00015797 in scientific notations if the mean of a set of 12 numbers is 13 , then the summer of the numbers is What did the closing of the western frontier suggest? 8. Find the equation of the lines passing through the origin and (a) parallel (b) perpendicular to the lines represented by 6x - 5xy + y2 + 5x - 2y + 1 = 0. . rankings as well as word of mouth from satisfied customers drive additional sales for automotive companies. however, because this orientation uses an aggressive marketing style, the main problem with a is that there is a lack of understanding of what customers want and need. the customer is not in charge. Carrie is packing her clothes in moving boxes that are in the shape of a cube. Each box has a volume of 3 cubic feet. The moving truck has shelves that are 12 inches in height. Will the moving boxes fit? Explain. What is the converse of the following conditional statement?"If it is sunny, then it is 80 Fahrenheit."Determine the validity of the converse and give a counterexample if the converse is not valid. If it is sunny, then it is 80 Fahrenheit. The converse is valid. If it is 80 Fahrenheit, then it is sunny. The converse is valid. If it is not sunny, then it is not 80 Fahrenheit. The converse is invalid; a counterexample is a day that is not 80 Fahrenheit and not sunny. If it is 80 Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80 and cloudy. Please help me I dont understand this! its due soon by the end on class omg! 7. There are 7 pairs of green socks, 6 pairs of white socks, 5 pairs of red socks and 4 pairs of blue socks. One person is asked to close his eyes, and draw the socks 1 pair at a time. At least how many pairs of socks should be drawn so that among the drawn socks, 4 pairs of those have the same color? O-7O-107O 20What is the value of the expression below?(9+3)+4(6-7)