What are the two solutions of 2x2 = –x2 – 5x – 1?

Answers

Answer 1

Answer:

The answer is

[tex]x = \frac{ - 5 + \sqrt{13} }{6} \: \: \: \: or \: \: \: x = \frac{ - 5 - \sqrt{13} }{6} [/tex]

Step-by-step explanation:

2x² = - x² - 5x - 1

Rearrange the terms and simplify

That's

2x² + x² + 5x + 1 = 0

3x² + 5x + 1 = 0

Using the quadratic formula solve the equation

That's

[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

From the question

a = 3 , b = 5 , c = 1

So we have

[tex]x = \frac{ - 5\pm \sqrt{ {5}^{2} - 4(3)(1) }}{2(3)} \\ = \frac{ - 5\pm \sqrt{25 - 12} }{6} \\ = \frac{ - 5\pm \sqrt{13} }{6} [/tex]

We have the final answer as

[tex]x = \frac{ - 5 + \sqrt{13} }{6} \: \: \: \: or \: \: \: x = \frac{ - 5 - \sqrt{13} }{6} [/tex]

Hope this helps you

Answer 2

Answer: ITS C!!!!!!!

Step-by-step explanation:


Related Questions

Tell whether the equation has one, zero, or infinitely many solutions 8(x – 5) + 36 = 7x – 2​

Answers

it has one solution, x=2

Answer:

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someone help a-a+b; use a=6 and b=4

Answers

so, you would replace the variables with the numbers. it would be 6 - 6 + 4, then you would just add/subtract as normal. the answer, how i got it, would be 4.

Answer:

4  

If A=6 then you would have to plug that in for a which would become 6-6 which equals 0.Then you would have to plug in 4 for b so you would do 0+4= your answer of 4.

Evaluate - 2y + x(-3)
When x = -5 y = 3

Answers

Answer:

27

Step-by-step explanation:

2(6) + -5(-3)

= 12+15

= 27

Try seeing the problem as
-2(y) + x(-3)
If you plug in 3 in place of y, you’ll get
-2(3) + x(-3).
If you solve the first half of the equation, you’ll be left with
-6 + x(-3)
Repeat this step with x, by plugging in -5 in place of x
-6 + -5(-3)
A positive * a positive = a negative, so your equation should look like
-6 + 15
If you flip it around, you’ll be left with a simple problem, and answer
15 - 6 = 9


If y(x) = 2x-5, then f(4) is A. 17 B.5 C.4 D.3​

Answers

Answer:

i think the answer is 3

Step-by-step explanation:

I NEED HELP PLEASE PLEASE I NEED HELP BADLY HELP ME !!

Answers

Answer:

x=(y+b)/m

Step-by-step explanation:

y=mx+b

y+b=mx

(y+b)/m=x

Find the area of the triangle defined by E = (-2, 8), W = (11, 2), and S = (-2, -4). Now find the area of triangle WLS where L is (-2, 0).

Answers

Answer:

This question i think google could help you if not more then brainy if u don't get a answer fast enough

Step-by-step explanation:

hope i helped u a little bit i know i didn't have a answer.

Select the Correct Answer Consider the following Equation 12w - 27 = -34 + 14 Which Equation has the same solution as the equation given above?[tex]A. -2w + 21 = -8w + 36\\B. -\frac{5}{6} w + 2 = -34 + 14w\\C. -47 - 10w = -9w -40 - 3w\\D. \frac{9}{7} w = \frac{13}{14} w + 2[/tex]

Answers

12w - 27 = -34 + 14
w = 7/12

A -2w+21=-8w+36
w=17/8

B -5/6 w + 2 = -34+14w
w=216/89

C -47-10w=-9w-40-3w
w= 7/2

D 8/7w=13/14w+2
w=28/5


Multiply (1/6)(-1/2)

Answers

Answer:

the answer is -1/12

Answer:

b is your answer

Step-by-step explanation:

This is because 1/6 divided by -1/2 = -1/12

Which of the following numbers is closest to 10?
A. 98
B. 99
C. 102
D. 97

Answers

I’m not really sure but I think it’s 97

Answer: 99

Step-by-step explanation:

A_P_E_X approved need proof here is an imagine

my friend is having trouble with some algebra 2, pls help !​

Answers

Answer: 5

Step-by-step explanation:

The function is f(x)= -4x-3:

1) Substitute x with -2 to get: f(-2)= -4(-2)-3

2) Solve using P.E.M.D.A.S to get 8-3=5

Therefore, the answer is 5.

how do you writ 1.660 in scientific notation ​

Answers

Answer:

[tex]1.66 * 10^{0}[/tex]

Step-by-step explanation:

1.660

we would only move the decimal point once.

1.66 * 10^0

10^0 = 1

How do you use 30 60 90 triangles

Answers

The hypotenuse
(the side corresponding to 90 degree angle) is twice the leg of the shortest leg

The shortest leg
(the side corresponding to 30 degree angle) is half the length of the hypotenuse

The longest leg
(the side corresponding to 60 degree angle) is the square root of 3 times the length of the shortest leg

h(x) = 3x - 4What is h(6)?
5
14

Answers

h(6) would equal 18 not 14 or 5
H(6) would = 14

H(6) = 3(6) - 4 —> 18-4 —> 14

Describe the error in finding the length of AB.
B
cm
1
2.
3
4
5
6
X
AB= |1 + 4.5| = 5.5
O Should have added 5.5 instead of 4.5.
Should have measured to hundredths.
Should have subtracted instead of adding.
O Should have lined up ruler from the right side.
The actual length of the segment is
centimeters.

Answers

Answer:

first answer is correct

1.4-28/x

Solve for x

Answers

Answer:

20

Step-by-step explanation:

1.4-28/x = 0

bring 1.4 to the right hand side

-28/x = -1.4

bring the x to the right hand side

-28 = -1.4x

switch the positions of -28 and -1.4x

-1.4x = -28

divide -28 by -1.4

x = -28/-1.4

x = 20

write each fraction or mixed number as a decimal. 2/5

Answers

Answer:

2 / 5 = 0.4

1 / 5 = 0.2

3 / 4 = 0.75

3 / 5 = 0.6

Tell whether the given value is a solution of the inequality.
15n > -3; n = -2

Answers

Answer: no

Step-by-step explanation:

3-2(1+2)?
1 (1+2)
1+2
3

Answers

Answer:

your method is wrong, final answer should be -3

Step-by-step explanation:

symbols are used in the order of bracket first, then multiplication and division, then addition and subtraction

i.e.

3 - 2(1 + 2)

= 3 - 2(3)

= 3 - 6

= -3

Answer:

=-3

Step-by-step explanation:


The slope of the line that passes through the point (2, 4) and (3,8)

Answers

Answer:

4

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( 8-4)/(3-2)

   = 4/1

  = 4

With a budget of $250, you have decided to open a snack shop on campus. You can only choose 4 items to sell in your shop (2 salty and 2 sweet). But, you can purchase multiple cases of each snack you choose. You must make sure to purchase at least 500 items. This project will help you to decide which options will be best for your store. You will also explore the potential profit you could make.Remember to refer to the background information given in the instructions.

Answers

Step-by-step explanation:

800 is the correct answer

Answer:

800

Step-by-step explanation:

because you would have to get multiple items

evaluate 64 1\2 * 10(-2) as a fraction

Answers

Answer:

1/25

Step-by-step explanation:

64^=8

8*1/2=8/2

10^-2=1/100

8/2*1/100

1/25

This is picture for more preference.

Please help me with this, I'm struggling. In the figure, P||Q. Find m<1.

Answers

Answer:

y = 58 x= 122

Step-by-step explanation:

y = 180-90-38+6

x=180-y

Answer:

x = 52º

y = 134º

Step-by-step explanation:

x = 90-38

x = 52º

------------------------------

x + y - 6 = 180º

52 + y - 6 = 180º

y = 180 + 6 - 52

y = 134º

what is 8 more than 3 times a number

Answers

Answer:

3(x) + 8

Step-by-step explanation:

x being the number

Answer:

3x+8

Step-by-step explanation:

cause x represents the number

Express the fraction
1/3
as a decimal.

Answers

Answer:

Step-by-step explanation:

1/3 as a decimal is 0.3333333 repeating

Answer:

0.33

Step-by-step explanation:

Divide 1 by 3 and you'll get a repeating answer of 0.33333333333. When you round it it'll be seen as 0.33

Is 13 a rational number? And why

Answers

Answer: A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero if you’re working with a number with a long line of different decimals, then your number is irrational! If you’re working with an integer or a number with terminal or repeating decimals (like 1.333333), then your number is rational! and 13 is a rational number since it can be written as a fraction as well like 13/1

Step-by-step explanation:

Solve for x. Make sure to show all your work. 21=3(x+6)

Answers

Answer:

1 is correct answer

Step-by-step explanation:

[tex]21 = 3(x + 6) \\ 21 = 3x + 18 \\ 21 - 18 = 3x \\ 3 = 3x \\ x = \frac{3}{3} \\ x = 1[/tex]

hope it helped you:)

The school that Stefan goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 1 senior citizen ticket and 14 student tickets for a total of $225. The school took in $120 on the second day by selling 7 senior citizen tickets and 1 student ticket. What is the price each of one senior citizen ticket and one student ticket?

Answers

x = price of a senior ticket

y = price of a student ticket

First day: x + 14y = $225

Second day: 7x + y = $120

Let's solve this system of equations by substitution

Subtract 14y from both sides on our first equation

First day: x = $225 - 14y

Substitute this value into our second equation for x

7($225 - 14y) + y = $120

Distribute the 7

$1575 - 98y + y = $120

Combine like terms

$1575 - 97y = $120

Subtract $1575 from both sides

-97y = -1455

Divide both sides by -97

y = $15

Plug this value into our first equation

x + 14(15) = $225

Simplify

x + $210 = $225

Subtract $210 from both sides

x = $15

The senior and student tickets cost $15

which expression is a factor of this polynomial x^3+2x^2-9x-18
a(x-2)
b(x+1)
c(x+2)
d(x-6)
please hurry

Answers

Answer: (x+2)

Step-by-step explanation:

The factor of the polynomial expression is "(x+2)".

Polynomial expression:

[tex]\to x^3+2x^2-9x-18[/tex]

factor=?

[tex]\to x^3+2x^2-9x-18=0\\\\\to x^2(x+2)-9(x-2)=0\\\\\to (x+2)(x^2-9)=0\\\\\to (x+2)(x^2-3^2)=0\\\\\to (x+2)(x-3)(x+3)=0\\\\[/tex]

Therefore, the answer is "[tex](x+2)[/tex]".

Learn more about the factor here:

brainly.com/question/713325

What is the slope of the line that contains the points (-2, 7) and (2, 3)? O A. -4 OB. 4 O C. -1 O D. 1 SUBM​

Answers

Answer:

- 1

Step-by-step explanation:

[tex]slope = \frac{3 - 7}{2 - ( - 2)} = \frac{ - 4}{2 + 2} = - \frac{4}{4} = - 1 \\ [/tex]

The slope of the line that contains the points (-2, 7) and (2, 3) is -1.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the points (-2, 7) and (2, 3).

So, the slope of line

= (3 -7)/ (2- (-2))

= (-4) / (4)

= -1

So, the slope of line is -1.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ5

For each of the last three years, your landscaping business has made a profit of $1,200; $2,100; and $3,400. How much total profit did your business make in the last 3 years?

O $5,670

O $6,070

O $6,700

O $7,600

O $7,650​

Answers

Answer:

The answer would be $6,700

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