3xsquared - 3x -1 = x + 1

Answers

Answer 1
Here use the quadratic formula
3xsquared - 3x -1 = X + 1
Answer 2

Answer:

x = 2 + √10

    -------------

           3

x =  2 - √10

     ------------

            3

Step-by-step explanation:

3x² - 3x - 1 = x + 1

         -x - 1  -x  -  1

3x² - 4x - 2 = 0

-b +/- √b² - 4ac              -(-4) +/- √(-4)² - 4(3)(-2)         4 +/- √16 + 24

         ------------------    =            ----------------             =   -----------------

               2a                                 2(3)                                  6

4+/-√40        4 + √ 4 × 10         4 +2√10         2 + √10

------------  =      -------------     =     ------------    =   ------------

     6                       6                        6                  3

                     4 - √ 4 × 10           4 - 2√ 10           2 - √10

                      ----------------    =   -----------------   =    ---------------

                               6                         6                        3

I hope this helps!


Related Questions

Annete completes a 6.8-mile bike route in 90 minutes. She rides her bike at a constant speed for the entire route. To find how fast she traveled, she solves the equation 6.8=x(90). What does x represent?


Answers

Answer:

Her speed in miles per minute

Step-by-step explanation:

Not sure if that's true but yeah

Justin has 64 ounces of lemonade to divide among 9 people. When he types 64÷9 into his calculator, the number that appears is 7.111111111. How much lemonade should he give to each person?

Answers

I believe he would have to round down so each person would get 7 ounces of lemonade because 64 divided by 9= 7.111111111 and if you were to round down to 7 and 9x7=63 or if you want to be really specific you can also do 9x7.1=63.9 ounces

The number of lemonade should Justin give to each person is 7 with one lemonade still left.

It is given that Justin has 64 ounces of lemonade to divide among 9 people.

We have to find out that how much lemonade should he give to each person.

What will be the value of each part , if 120 is divided in 6 equal parts ?

The value of each part will be 120 divided by 6 or 120 ÷ 6 or 20 i.e., 120 is divided into 6 equal parts of 20 each.

As per the question ,

No. of ounces of lemonade to divide among 9 people = 64

No. of lemonade each people will get = 64 ÷ 9

or

64 ÷ 9 = 7.1111

So , we can't equally divide it because if 7 each is divided between 9 people , one lemonade will still be left.

i.e.,

7 × 9 = 63

64 - 63 = 1

1 still left

Thus , the number of lemonade should Justin give to each person is 7 with one lemonade still left.

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(-4,1); perpendicular to y= -5/6x +3

Answers

Answer:

y = (6/5)x + 29/5

Step-by-step explanation:

To avoid confusion please enclose the fractional exponent inside parentheses:  y= -5/6x +3 =>  y= (-5/6)x +3

The new line is to be perpendicular to the given line (above).  The slope of this new line must be the negative reciprocal of (-5/6), which is (6/5).

Usig the slope-intercept formula, we get y = mx + b, or

1 = (6/5)(-4) + b

The LCD here is 5.  Multiplying all 3 terms by 5, we get:

5 = 6(-4) + 5b, or

5 = -24 + 5b, or

5b = 29

Then b = 29/5, and the desired equation is:

y = (6/5)x + 29/5

5 units 2 units 2 units 3 units 2 units the area of the figure is blank square units

Answers

Answer:

Your answer is 8 Square Units

Step-by-step explanation:

3 x 2 = 6

2 x 2 = 4 / 2 = 2

6 + 2 = 8

Hope this Helps!

Algebra 1
> U.15 Solve a system of equations using any method: word problems GDQ
Tutor
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks
Victor and Susan each want to run for president of their school's student body council. In
order to do so, they must collect a certain number of signatures and get a nomination. So far,
Victor has 23 signatures, and Susan has 19. Victor is collecting signatures at an average rate
of 9 per day, whereas Susan is averaging 11 signatures every day. Assuming that their rate of
collection stays the same, eventually the two will have collected the same number of
signatures. How long will that take? How many signatures will they both have?
In
days, Victor and Susan will each have collected
signatures.
Submit
O
к

Answers

Answer:

cl jsjsjsjnsmamansnsnannananann

Who is this you tuber

Answers

Answer:

theodd1sout pretty cool guy

Answer:

the odd ones out

Step-by-step explanation:

Bella was out at a restaurant for dinner when the bill came. Her dinner came to $24. After adding in a tip, before tax, she paid $29.04. Find the percent tip.

Answers

Answer:

21%

Step-by-step explanation:

So we have to use percent change

The formula is subtracted/original multiply 100=percent change

so she added a $5.04 tip

5.04/24=0.21, then multiplied by 100=21

so she tipped 21%

Don't mind answer. Not sure if it's correct
#3`1

Answers

It’s C, 45

For all the other options, there is no possible set of whole numbers that fit the requirements ( x + x + x + 2x)

For 45:

Sally: 9
Will: 9
James: 9

Anthony: gets twice as much as sally (9 x 2) which is 18

9+9+9+18= 45

The price of a gas increases from 2.20 per gallon on Monday to 2.31 per gallon on Tuesday. What is the percent of increase?

Answers

Answer:

4.9%

But I guess you may round to 5%, just be sure to say that you rounded from 4.9%.

find f(-1)+g(2)
f(x)=5x-20
g(x)=x^2+5x-11

Answers

Step-by-step explanation:

f(x) = 5x - 20

f(-1) = 5(-1) - 20 = - 5 - 20

= - 25

g(x) = x² + 5x - 11

g(2) = 2² + 5(2) - 11 = 4 + 10 - 11

= 3

Thus, f(-1) + g(2) = - 25 + 3 = - 22

Answer:

Step-by-step explanation:

Substituting x as -1 in f(x), f(-1)

F(-1)=5(-1)-20

F(-1)=-5-20

F(-1)=-25

Substituting x as2 into g(x), g(2)

G(x) =2^2+5(2)-11

G(x)=4+10-11

G(x)=3

F(-1)+g(2)=-25+3

=-22

You need to earn at least $300 for a school fundraiser washing cars. You charge $12 for trucks
and SUVs and $8 for cars. Write an inequality that represents how many vehicles need to be washed
to earn your goal.

Answers

12x + 8y is greater than or equals to 300

12x + 8y > = 300

Put the equals to sign (=) under the greater than sign (>)

where r= the radius, and h= the height of the cone. Determine the amount of liquid a paper cone can hold with a 3-inch diameter and a 5-inch height​

Answers

Answer:

  11.78 in³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3(πr²h)

The cone's radius is half its diameter, so is 1.5 inches. The volume is ...

  V = 1/3π(1.5 in)²(5 in) = 3.75π in³ ≈ 11.78 in³

The cone can hold about 11.78 cubic inches of liquid.

_____

Additional comment

That's about 6.5 fluid ounces.

A castle has to be guarded 24 hours a day. 7 knights are ordered to split each day's guard duty equally. How long will each knight spend on duty? Record your answer in minutes

Answers

Answer:

≈206 Minutes

Step-by-step explanation:

We know that the castle has to be guarded for 24 hours a day. Since there are 60 minutes in an hour, that means it must be guarded for 1,440 minutes (60 * 24 = 1,440). If we split this evenly between each of the 7 knights, through division, we know that they must each be on guard for 205.714285714 minutes, or approximately 206 minutes.

Write the equation of a line with slope -1/3 and y-intercept -7
A. y=-7x-1/3
B. y=-1/3x+7
C. y=-1/3x-7

Answers

The answer is C.
Explanation: y = slope(x) + y intercept

This is solving equations- word problems I need help pls

Answers

Answer:  x=5

Step-by-step explanation:

18+0.85x=22.25

subtarct 18

0.85x=4.25

divide by 0.85

x=5

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

126 Degrees

Step-by-step explanation:

Angel Z is going to be 42 degrees so 3*42 is 126

which of these is a factor in this expression 5z^4-3+8(y^3+4)

A. -3+8(y^3+4)
B. 5z^4 - 3
C. (y^3+4)
D. 8(y^3+4)

Answers

Answer:

Step-by-step explanation:

(y^3+7)

The correct expression is 5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]

What is multiplicative distribution law ?

distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.

according to the question

Apply multiplicative distribution law

5[tex]z^{4}[/tex] - 3 + 8[tex]y^{3}[/tex] + 32

Combine like terms

5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]

Hence, the correct expression is 5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]

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A bag has three marbles: one red, one blue, and one yellow. The marbles are pulled from the bag one at a time without replacing them. In how many different orders could the marbles be pulled from the bag?

Answers

The number of different orders that the marbles can be pulled from the bag is 6 ways

Combination and permutation of numbers

If a bag contains one red, one blue, and one yellow, then the total number of marbles contained is 3 marbles.

If the marbles are pulled from the bag one at a time without replacing them, the number of different orders that the marbles can be pulled from the bag is expressed as:
[tex]3C_1=\frac{3!}{(3-2)!} \\3C_1=\frac{3!}{1!}\\ 3C1=3! = 6ways[/tex]

Hence the number of different orders that the marbles can be pulled from the bag is 6 ways

Learn more on combination here: https://brainly.com/question/11732255

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

go 3 forward make a dot. and 8 down make a dot. then connect dots.

Answer:

all u do is get your mouse and move it and then do it TA-DA boom the answer XD

Step-by-step explanation:

comment below what u would say

Solve the equation and enter the value of y below.
4y + 15 = 39
y=--

Answers

Answer:

y=6 is the answer

Step-by-step explanation:

4y=39-15

4y=24

y=6

A triangle has a base of 14 centimeters and a height of ( 3x - 4 ) centimeters . The area of the triangle is greater than 56 centimeters . Solve the inequality 1/2 (14) ( 3x - 4 ) > 56 to find the possible values of x???
show your work please

Answers

Answer:

1/2 (14) ( 3x - 4 ) > 56

14/2 (3x-4) > 56

7 (3x-4) > 56

21x - 28 > 56

21x > 56+28

21x > 84

x < 4

Answer:

x > 4 or x = (4, + oo)

Step-by-step explanation:

The area of the triangle is

A = 1/2bh

Given

b = 14 cmh = 3x - 4

Then

A = 1/2*14(3x - 4) = 7(3x - 4) = 21x - 28

If A > 56, then solving inequation:

21x - 28 > 5621x > 56 + 2821x > 84x > 84/21x > 4 or x = (4, + oo)

6. In a set of 10 questions ,4 marks are awarded for every correct answer and -2 marks
every wrong answer. Sunil gets 6 correct answers and 4 wrong answers. What is his
score?


Answer this question right , then I will award u brainlist and points

Answers

Answer:

16 points

Step-by-step explanation:

Hi there !

What is his  score?

6×4 - 4×2 =

= 24 - 8

= 16 points

Good luck !

Answer:

marks awarded for each correct answer = 4

marks awarded for each incorrect answer = -2

No.of Sunil's correct answer = 6

therefore, mark of Sunil's correct answer = 6 x 4 = 24

No.of Sunil's incorrect answer = 4

therefore, mark of Sunil's incorrect answer = 4 x -2 = -8 (here + and - is                                                                                                                  multiplied therefore the final answer will be -)

Sunil's total score = 24(positive marks) - 8(negative marks)

                               =24-8 = 16

This also is an integer question right?       ^_^                                                                                                                                                                  

Solve the equation for x 1/2(12x-10)=1/3(9+6x)

Answers

Answer:

x =

Exact form:

- (63/2)

Decimal Form:

- 31.5

Mixed Numbers Form:

- (31 1/2)

Trey started an assignment at 3:44 PM and finished it at 4:23 PM. How long did it take him? Give your answer in minutes.​

Answers

39 minutes is the answer

Factors of 81q^2 –25r^2 are

Answers

Answer:

(9q + 5r)(9q - 5r)

Step-by-step explanation:

Given :-

81q² - 25r²

To Find :

Factors

Formula :-

a² - b² = (a + b)(a - b)

Solution :-

(9q + 5r)(9q - 5r)

The sales team at an electronics store sold 48 computers last month. The manager at the store wants to encourage the sales team to sell more computers and is going to give all the sales team members a bonus if the number of computers sold increases by 30% in the next month. a) What is the amount of increase in computers needed? b)What is the new amount of computers the team must sell?

Answers

Answer: a. 14 Computers

b. 62 Computers

Step-by-step explanation:

a) What is the amount of increase in computers needed?

Number of Computers sold last month = 48

Percentage increase required = 30%

Amount of increase in computers needed= 30% × 48

= 0.3 × 48

= 14.4

= 14 approximately

b)What is the new amount of computers the team must sell?

This will be the amount of Computers sold last month plus the increase.

= 48 + 14

= 62 Computers

Cesar is excited that he only has 12 months left before he pays off his credit card completely. His current balance is $3,750 and his APR is 17. 5%. But when he is involved in a car accident, he is forced to use his credit card to pay a $1,000 deductible to get his car fixed. How much will Cesar’s minimum monthly payment increase if he still wants to pay off his credit card in 12 months? a. $83. 33 b. $91. 44 c. $342. 91 d. $434. 35.

Answers

The amount by Cesar’s minimum monthly payment increase will be $91.44.

What will be the amount?

Cesar only has 12 months left before he pays off his credit card completely.

His current balance = $3,750

                       APR = 17.5%

Now we use the formula :

[tex]\rm Present \ value \ of \ anuity= P=( 1-\frac{1+r}{r} })^{-n}[/tex]

PV = Present Value

P   = Periodic payment

r    = rate per period

n   = number of period

Now for the first case:

PV of annuity = $3,750

P =?

r = 17.5% annually = % monthly  monthly

n = 12 months

Now we put the values in the formula

[tex]3750=P(1-\dfrac{(1+\dfrac{17.5}{1200})^{-12}}{\dfrac{17.5}{1200} } )[/tex]

[tex]P=\dfrac{3750}{\dfrac{1-0.8405}{0.01458} }[/tex]

[tex]P=342.91[/tex]

Now for the second Case :

PV of annuity = 3750 + 1000 = 4750

P =?

r = 17.5% annually = % monthly =  monthly

n = 12 months

Putting the values in the formula

[tex]4750=P(1-\dfrac{(1+\dfrac{17.5}{1200})^{-12}}{\dfrac{17.5}{1200} } )[/tex]

[tex]P=\dfrac{4750}{1-\dfrac{1+\frac{17.5}{1200} }{\frac{17.5}{1200} } }[/tex]

[tex]P=\dfrac{4750}{\dfrac{0.1595}{0.01458} } =434.35[/tex]

Cesar's increased monthly payment will be

434.35 - 342.91 = 91.44

Hence, the amount by Cesar’s minimum monthly payment increase will be $91.44.

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You bought 100 shares of stock at $15 per share. You sold your 100 shares at $21.75 per share. Calculate your total
profit from the sale.

Answers

Answer:

675

Step-by-step explanation:

Answer:

675

Step-by-step explanation:

Direction. Read and analyze the following word problem. Choose and write the letter of the correct answer on the blank.




Answers

Answer:

22- b

23- d

24- b

Step-by-step explanation:

22- perimeter =2(length + width)=2(40+20)=120

23- width =100m

length = 3×width =3×100=300

perimeter =2(300 +100)= 800

24= hanz perimeter = 40m

Arthur's perimeter =42m

hence Arthur needs more fence

A high school track is shaped as a rectangle with a half circle on either side. A rectangle has a length of 85 yards and width of 25 yards. 2 semicircles with diameters of 25 yards are on each end of the rectangle. Jasmine plans on running three laps. How many yards will Jasmine run? Use 3. 14 for Pi. 248. 5 yd 490. 5 yd 725. 5 yd 745. 5 yd.

Answers

perimeter=2(85)+π(12.5)=220+2×12.5π

=170+25×3.14

=170+78.5

=248.5

distance ran=3×248.5=745.5 yards.

i hope this work for you

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