Use the quadratic formula to find the solutions to the equation.
x2-3x+ 1 = 0

Use The Quadratic Formula To Find The Solutions To The Equation.x2-3x+ 1 = 0

Answers

Answer 1
The solution of a quadratic equation
a
x
2
+
b
x
+
c
=
0
, using quadratic formula is given by

b
±

b
2

4
a
c
2
a
Hence the solution of
x
2
+
3
x
+
1
=
0
is given by
x
=

3
±

3
2

4

1

1
2

1
or
x
=

3
±

9

4
2
=

3
±

5
2
Hence solution is given by irrational numbers

3
+

5
2
and

3


5
2
.

Related Questions

is it 1 2 3 or 4 look at file drop

Answers

Answer:

D (4,8)

Step-by-step explanation:

What is cos 16 degrees

Answers

Answer:

-0.96126 but this isn't rounded so you will need to round yourself

Answer:

The answer is

Step-by-step explanation:

x + y = 95. and y is 2/3 of x. find x and y.​

Answers

Answer:

{x,y}={60,35}

Step-by-step explanation:

// Solve equation [2] for the variable  x

 [2]    x = y + 25

// Plug this in for variable  x  in equation [1]

  [1]    (y +25) + y = 95

  [1]    2y = 70

// Solve equation [1] for the variable  y

  [1]    2y = 70

  [1]    y = 35

// By now we know this much :

   x = y+25

   y = 35

// Use the  y  value to solve for  x

   x = (35)+25 = 60

Answer:

x=57

y=38

Step-by-step explanation:

(1): x+y=95

(2): y=2/3x

substitute y=(2/3)x in equation (1):

x+(2/3)x=95

Multiply both sides by 3

3x+2x=285

5x=285

Divide both sides by 5

x=285/5

x=57

substitute x=57 in equation (2):

y=2/3×57=38

hence: x=57 , y=38

Evaluate this friends please ?

Answers

Hello.

First, let's recall the Properties of Exponents:

[tex]\displaystyle(\frac{a}{b} )^{m}[/tex]= [tex]\displaystyle\frac{a^{m} }{b^{m}}[/tex]

Let's use this property to simplify the given expression:

[tex]\displaystyle(\frac{9}{16} )^\frac{1}{2}[/tex]

[tex]\displaystyle\frac{9^{\frac{1}{2} } }{16\x^{\frac{1}{2} } }[/tex]

Now, the [tex]\frac{1}{2}[/tex] power means "square root of"

The square root of 9 is 3, and the square root of 16 is 4.

Thus, we have

[tex]\displaystyle\frac{\sqrt{9} }{\sqrt{16} } \\\displaystyle\frac{3 }{4}[/tex]

Therefore, the answer is

[tex]\displaystyle\frac{3}{4}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

- 4x^2 - 7= -11
lesser x =
greater x =
Show Calculator

Answers

Answer:

less x is 1 greater x is 1

Step-by-step explanation:

I am the calculator

7) A classroom had 63 glue sticks. If the ratio of glue sticks to glue bottles was 9 : 1, how man
glue bottles did the classroom have?

Answers

Answer:

7 bottles of glue

Step-by-step explanation:

63/9= 7

every time there are 9 sticks, there is one bottle.

Answer:

7 glue bottles

Step-by-step explanation:

Ratio of glue sticks to glue bottles = 9 : 1

Therefore, 9x : 1x

If there are 63 glue sticks in total:

⇒ 9x = 63

⇒ x = 7

Therefore, glue bottles = 1x = 1 × 7 = 7

This line plot shows how many hours Ella practiced her flute this month. What is the difference, in hours, between the longest practice and the shortest practice?

Answers

Answer:

C

Step-by-step explanation:

Longest practice is 2 1/2 hours long

Shortest is 1 1/4 hours long

For difference, subtract 1 1/4 from 2 1/2

Convert mixed to improper fractions

(2*2+1)/2 - (1*4+1)/4

5/2 - 5/4

10/4 - 5/4 = 5/4

Change back to mixed fraction

1 1/4

Which of these numbers is not equivalent to the other three? Need answers ASAP

A. 44/8
B. 5 1/2
C. 5 1/5
D. 5.500

Answers

Answer:

C. 5 1/5

Step-by-step explanation:

A, B, and D are all 5.5 and C alone is 5.2

Answer:

C is the odd one.

Step-by-step explanation:

Let's verify each option.

Option A

44/8 = 40/8 + 4/8 = 5 1/2 = 5 + 0.5 = 5.5

Option B

5 1/2 = 5 + 0.5 = 5.5

Option C

5 1/5 = 5 + 0.2 = 5.2

Option D

5.500 = 5.5

Looking at the options, we can see that the result of Option A, B, and D are same.

This means that the odd one is Option C.

Determine if the sequence below is arithmetic or geometric and determine
common difference / ratio in simplest form.
22, 16, 10, ...

Answers

Answer:

It is arithmetic

Step-by-step explanation:

Using the rule T2-T1

We see that 16-22 is -6

We can also try T3-T2

We see that 10-16 is also -6

Their is a constant common difference and that constant common difference is -6.

Hope that helps :)

One number is 3 less than 4 times a second number. The difference of the first number and twice the second number is 7. What are the two numbers?

Answers

Answer:

x = -11, y = -2

Step-by-step explanation:

There's two equations. Let's say the first number is x, and the second number is y. Then, there is 4y-3 = x, and 2y-x = 7. We plug in 4y-3 for x into the second equation, and we get 2y - (4y-3) = 7. Solving more gets us -2y + 3 = 7. thus, -2y = 4, meaning y = -2. We plug back into the second equation, getting -4 - x = 7. This 11 = -x, or x = -11.

HELP!!! MATH!!! Plessssssss!!!​

Answers

Answer:

the answer would be b

Step-by-step explanation:

the other 2 have negatives and the 3rd option is whole so b

A bicycle store cost 4500$ per month to operate. The store pays an average of 35$ per bike. The average selling price of each bike is 125$.How many bicycles must the store sell each month to break even

Answers

Answer:

50

Step-by-step explanation:

let x be the no of bicycles to be sold

125x = 4500 + 35x

125x-35x = 4500

90x = 4500

x = 50

to exactly match the expenditure, atleast 50 bikes have to be sold

(will mark brainliest to whoever responds!) PLEASE HELP ME OUT :)

Answers

36 ft :)

Have a great day!

A wire is in the shape of a rectangle of length 14cm. Find its breadth if the same wire is re- bent into a square of side 13cm. Also find out their areas and write which one encloses more area, the rectangle or square.

Answers

Length= 40cm

Breadth= 22cm

Perimeter of the rectangle= Length of the wire

=2(l+b)= 2(40cm + 22cm)

=2\times62cm = 124cm

Now, the wire is rebent into a square.

Perimeter= 124cm

4\times side=124

Therefore side= \frac{124}{4}cm= 31cm

So, the measure of each side= 31cm

Area of rectangular shape= l\times b

=40cm\times22cm

=880cm^2

Area of a square shape= \left(Side\right)^2

=\left(31\right)^2=961cm^2

Since 961cm^2\ >\ 880cm^2

Hence, the square encloses more area.

Answer:

See below.

Step-by-step explanation:

Area by square = 169

Area by rectangle = 14 x 12 = 168

So more for square hope it helps Alphonsa

A manager wants to determine if an employee training program has increased her employees’ customer satisfaction ratings. She randomly selects 10 of the participating employees and compares their customer satisfaction ratings before and after the training. The results are shown in the table.

Employee Before After Difference
1 4.2 4.3 0.1
2 3.7 3.6 Negative 0.1
3 2.9 3 0.1
4 3.2 3.3 0.1
5 3.1 3 Negative 0.1
6 4.1 4.2 0.1
7 2.8 2.9 0.1
8 2.8 2.7 Negative 0.1
9 4 4.2 0.2
10 3.6 3.7 0.1
How can the values in the Difference row of the table be interpreted?

A. A negative difference means that the program was effective, and any positive differences can be ignored.
B. A positive difference means that the employee’s rating increased after the program, and a negative difference means that the employee’s rating decreased after the program.
C. A positive difference means that the employee’s rating decreased after the program, and a negative difference means that the employee’s rating increased after the program.
D. A positive difference means that the program was effective, and any negative differences can be ignored.

Answers

Answer:

A

Step-by-step explanation:

The answer should be AI hope that's ok if I am wrong pls correct me

The answer is B on the test

The dot plots show the number of points that Sophia and Valerie each scored in the first 10 basketball games. The mean for Sophia's Basketball is 8. 5 points and the mean for Valerie's Basketball games is 15. 5 points. The mean absolute deviation of both distributions is 2 points

Part A: The mean number of points scored by Valerie is 2 or 7 or 8. 5 or 15. 5 greater than the mean numbers of points scored by Sophia.

Part B: What multiple of the mean absolute deviation represents the difference in the mean number of points scored by Sophia and Valerie in the first 10 basketball games?

2. 5

3. 0

3. 5

4. 0

Answers

The mean number of points scored is the average of points scored

The mean number of points scored by Valerie is 7 greater than the mean numbers of points scored by Sophia.

How to interpret the mean?

The given parameters are:

Mean for Sophia's = 8.5 pointsMean for Valerie's = 15.5 points. Mean absolute deviation of both = 2 points

Calculate the difference (d) between the mean values

d = 15.5 - 8.5

Evaluate the difference

d = 7

Hence, the mean number of points scored by Valerie is 7 greater than the mean numbers of points scored by Sophia.

The multiple of the mean absolute deviation?

In (a), we have:

Mean absolute deviation of both = 2 points

Difference  = 7

Express as products

Difference = 2 * 3.5

Hence, 3.5 is a factor of the difference between the mean

Read more about mean absolute deviation at:

https://brainly.com/question/447169

HELP PLEASE!! 35 POINTS!! I need the rate of change, start value, and equation!!!

Answers

Rate of change: y + 4, or x + 1

Start Value: 0

Equation: y = 4x + 6

WIll mark brainliest

Answers

Answer:

84

Step-by-step explanation:

The formula for the area of a triangle is 1/2bh. the base is 7, and the height is 24. 7×24=168/2=84ft2

I HOPE THIS HELPS YOU

Which equation is translated 5 units up from f(x) = 3^x

Answers

Transformations of Exponential Functions

The parent exponential function is the following:

[tex]f(x)=b^x[/tex], where b is the base.

We can apply many different types of transformations to this function:

[tex]g(x)=a*b^{k(x-d)}+c[/tex]

a ⇒ describes vertical stretchk ⇒ describes horizontal stretchd ⇒ describes horizontal translationc ⇒ describes vertical translation

Solving the Question

In this question, we are working with vertical translation.

When a function is translated up, c is positive.When a function is translated down, c is negative.

We are translating the given function [tex]f(x)=3^x[/tex] 5 units up. This means that we will be adding 5 to the function:

[tex]g(x)=3^x+5[/tex]

Answer

a. [tex]g(x)=3^x+5[/tex]

14+5x= 3(-x+3)-11
Find x

Answers

Answer:

x=-2

Step-by-step explanation:

[tex]14+5x=3\left(-x+3\right)-11[/tex]

[tex]3\left(-x+3\right)-11[/tex]  ← ( Expand)

[tex]14+5x=-3x-2[/tex]

[tex]14+5x-14=-3x-2-14[/tex] ← ( Subtract 14 from both sides)

[tex]5x=-3x-16[/tex]

[tex]5x+3x=-3x-16+3x[/tex]

[tex]8x=-16[/tex]

[tex]\cfrac{8x}{8}=\cfrac{-16}{8}[/tex]  ← ( Divide both sides by 8)

[tex]x=-2[/tex]

~

Answer:

-2

Step-by-step explanation:

In the question we have given with an equation that is 14 + 5x = 3 ( -x + 3 ) - 11 .

And we are asked to find the value of x.

Solution : -

[tex] \longmapsto \: 14 + 5x = 3( - x + 3) - 11[/tex]

Step 1 : Solving parenthesis on right side :

[tex] \longmapsto \: 14 + 5x = - 3x + 9 - 11[/tex]

On further calculations we get :

[tex] \longmapsto \: 14 + 5x = - 3x - 2[/tex]

Step 2 :

Subtracting 14 from both sides :

[tex] \longmapsto \: \cancel{14} - \cancel{14 }+ 5x = -3x -2 - 14[/tex]

On further calculations we get :

[tex] \longmapsto \: 5x = - 3x - 16[/tex]

Step 3 : Adding 3x on both sides :

[tex] \longmapsto \: 5x + 3x = - \cancel{ 3x} + \cancel{3x} - 16[/tex]

On further calculations we get :

[tex] \longmapsto \: 8x = - 16[/tex]

Step 4 : Dividing by 8 on both sides :

[tex] \longmapsto \: \frac{ \cancel{8}x}{ \cancel{8}} = \cancel {\frac{ - 16}{8} }[/tex]

We get :

[tex] \longmapsto \: \red{\boxed{ \mathfrak{x = - 2}}}[/tex]

Therefore , value of x is -2 .

Verifying :

We're verifying our answer by substituting value of x in given equation . So ,

14 + 5x = 3 ( -x + 3 ) - 11

14 + 5 ( - 2 ) = 3 { -( -2 ) + 3 ) - 11

14 - 10 = 3 ( 2 + 3 ) - 11

4 = 3 ( 5 ) - 11

4 = 15 - 11

4 = 4

L.H.S = R.H.S

Hence , Verified .

Therefore , our value for x is valid .

#Keep Learning

Sorry if it's a bother, but what's the answer to these? I'm having a little bit of trouble.

Answers

Solution (a):

~Let's change 9.9² to 10² since we have to estimate.~

We know that:

10² = 100Given expression: 9.9² × 1.79

Solving the expression:

9.9² × 1.79=> 10² × 1.79=> 100 × 1.79=> 179

The estimated value of 9.9² × 1.79 is 179.

Solution (b):

~Let's change √97.5 to √100 and 1.96 to 2 since we have to estimate.~

We know that:

√100 = 10Given expression: √97.5 ÷ 1.96

Solving the expression:

√97.5 ÷ 1.96=> √100 ÷ 2=> 10 ÷ 2=> 5

The estimated value of √97.5 ÷ 1.96 is 5.

HELLPPP PLEASSEE!!!


The spinner has 3 equal sections for each color: green, purple, and orange.


What is the probability of landing on a color other than green?


Enter your answer as a fraction, like this: 42/53

Answers

Answer:

2/3

Step-by-step explanation:

so, you have a circle and if you divide it into 3 equal sections each of those sections take only 1/3 of the circle.

1/3 + 1/3 + 1/3 = 1

if one of the thirds is green then the probability of it landing on another color would be 2/3 being the other two colors.

A sculpting tool is in the shape of a solid triangular prism. The tool is made of 12 in. 3 of metal and is 4 in. Long. What is the height of the base if it is 2 in. Wide? 1. 5 in. 3 in. 48 in. 96 in.

Answers

The height of the base if it is 2 in. Wide is 3 inches

what is the height of the base of the prism?

The volume of rectangular prism =  [tex]\dfrac{1}{2} \times Lenght \times Base \times hieght[/tex]

The volume of given rectangular prism = [tex]12 inch ^{3}[/tex]

Length of prism = 4 inch

The base of prism = 2 inch

By putting the values in the formula

[tex]12= \dfrac{1}{2} \times 4 \times 2\times Height[/tex]

so from the above calculations

[tex]height=3 inches[/tex]

Thus the height of the base if it is 2 in. Wide is 3 inches

To know more about the volume of the prism follow

https://brainly.com/question/23963432

In a beaded necklace 3/12 are blue and 1/3 are green

Answers

The question is:  What fractions of the beads are blue or green ?

The answer is:  7/12 of the beads are either blue or green.

What is the solution to (x-12)^2-48=0 ?

Answers

Add
48
48
to both sides of the equation.
(
x

12
)
2
=
48
(
x
-
12
)
2
=
48
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x

12
=
±

48
x
-
12
=
±
48
Simplify
±

48
±
48
.
Tap for more steps...
x

12
=
±
4

3
x
-
12
=
±
4
3
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
4

3
+
12
,

4

3
+
12
x
=
4
3
+
12
,
-
4
3
+
12
The result can be shown in multiple forms.
Exact Form:
x
=
4

3
+
12
,

4

3
+
12
x
=
4
3
+
12
,
-
4
3
+
12
Decimal Form:
x
=
18.92820323

,
5.07179676

Answer:

x = 18.928, 5.0718

Explanation:

x = 4√3 + 12, - 4√3 +12

decimal form:

x = 18.928, 5.0718

Find the 95th term of the arithmetic sequence 4, -5, -14

Answers

Answer: -842

Step-by-step explanation:

To find n95, we have to use the equation aₙ = d * n + a₁ - d

a₁ is the first term, which here is 4. d is the common difference, which we can find out but seeing what we can add pr subtract from 4 to -5 which also equals -5 to -14, in this equation, the common difference would be -9 as it goes down by 9 every term. Once we plug these into the equation, we get

a₉₅ = -9 * n + 4 - (-9)

We can solve this for - aₙ = -9n + 13

Now that we have our equation to find a term, we can plug in n for 95 for

-9(95) + 13

Which equals -842

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

We know,

[tex]{\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]

Here,

Diameter of the sphere is 28 m . Therefore, The radius of the sphere is 14 m.

We will take the value of π as [tex]\sf\dfrac{22}{7} . [/tex]

Substituting the values in the formula :

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(14 \bigg)}^{3} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {2744 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{ \cancel7} \times \cancel{2744 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{ \cancel3} \times {22} \times \cancel{392 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = {4} \times {22} \times {130.66 }}}}[/tex]

[tex]{ \longrightarrow {\qquad {\pmb{\mathfrak{ Volume_{(Sphere)} = { 11498.66 }}}}}}[/tex]

Therefore,

Volume of the sphere is about 11500 cubic meters . (Rounded to nearest tenth)

which answers are which?

Answers

Answer:

Triangle A and B= Acute, Triangle C= Right, and Triangle D= Obtuse

Step-by-step explanation:

Acute= Less than 90 degrees

Right= 90 degrees exactly

Obtuse= More than 90 degrees

You look at the measurements provided and determine your answer.

What is the area of this figure?

Answers

You can fine the area of the figure by width times height

Pleaeeeeee helppp!!!

Answers

Easy is 12 you must to multiply 60x10 divide by 10

Answer:

$22 I think?

Step-by-step explanation:

I believe you take $50 and add 10% sales tax to it and your total will be $55 and then subtract 60% from that to get the final price of $22.

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Please help! What do I write??? GMatch the French words to the English translations.sortirto leaveto writeto be acquainted/ familiar withto order to take HEYYYY! PLEASE HELP ME!! Turn this Algebraic expression into a verbal expression. 2(3j+5+8j) I need this today! The rest of it is due today too! Thank you!! Anja is about to finish high school and is trying to determine the educational requirements to become a Judicial Law Clerk. What is the order of the educational requirements she needs to complete? high school diploma Right-Arrow doctorate degree Right-Arrow bachelor's degree high school diploma Right-Arrow associate's degree high school diploma Right-Arrow bachelor's degree high school diploma Right-Arrow bachelor's degree Right-Arrow master's degree. which figure of speech is used in this text? Question is on picture Please help me out, hopefully its clear, very urgent. Thanks I need help................................................. man helppppp oooooooooo On a jogging trail, you take a random sample of the speed of 50 joggers and determine that their average speed is 5.3 mph. Which statement is true? A) You conclude that the average speed of all joggers is close to 5.3 mph. B) You conclude that the speed of all joggers on this trail is exactly 5.3 mph. C) You conclude that the average speed of all joggers on this trail is close to 5.3 mph. D) You conclude that the speed of more than half of the joggers on this trail is less than 5.3 mph. Choose all of the assets that would be considered liquid assets. A) cash B) buildings C) real estate D) bank accounts E) farm equipment100 points + brainliest QUESTION 6 Your textbook recommends that when you delivery your first speech, you should make an effort to: A. maintain eye contact with the audience B. use your voice expressively C. avoid distracting mannerisms D. all of these answers are correct Why is a plant classified as an autotroph WILL GIVE BRAINLIEST. Explain how you would prove that this is an identity. (Please explain in understandable terms) Write your own explicit formula. List the first 4 terms and solve for the 10th term using the formula. (show your work) 7. Which incident is referred to as the Trail of Tears? why is population considerd important element of a state when historian ask questions about variations across different groups of people with commom traditions where do they gather information from Shannon is building a rectangular garden that is 18 feet wide and 27 feet long. Write an equation that represents the area of Shannons garden. In your equation, let g represent the area of Shannons garden. Then solve your equation Which of the following is not a linear function?