Solve the following equation by the quadratic formula. x 2 + x - 1 = 0

Answers

Answer 1

Answer

x is 1.62 or -0.62

Step-by-step explanation:

Answer 2

Quadratic Formula:

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

Given Quadratic Equation:

x² + x - 1 = 0

a = 1 (Quadratic coefficient)

b = 1 (Linear coefficient)

c = -1 (Constant coefficient)

By substituting values in the formula, we get:

[tex] \rm \longrightarrow x = \dfrac{-1 \pm \sqrt{1^2 - 4(1)( - 1)}}{2 \times 1} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{1 + 4} }{2} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{5} }{2} [/tex]


Related Questions

The height of each window
is 18 inches, and the width is 11 inches. If the height of the building is 126 feet, what is the width of
the building?

Answers

Answer:

66 ft

Step-by-step explanation:

It is given that the windows on a building are proportional to size of the building.

Height of each window = 18 in

Width of each window = 11 in

Height of the building = 108 ft

Let the width of the building be x.

Since windows on a building are proportional to size of the building, therefore

On cross multiplication we get

Divide both sides by 18.

Answer:

66 ft

Step-by-step explanation:

What your doing is setting up a proportion that of the windows(18x11) dimensions and the buildings(108xW) dimensions.

So it would be 18/11=108/x

you would cross multiply so you would have 11x108 (1188)= 18x

Divide by 18 so x=66

[30 POINTS+BRAINLIEST]

Factory materials traverl faster on (conveyor belt or conveyor belt 2)?

because?
A.) The slope of m(x) is greater than the slope of p(x)
B.) The slope of p(x) is greater than the slope of m(x)
C.) The slope of m(x) is twice the slope of (px)
D.) The slope of p(x) is half the slope of m(x)

Answers

Answer:

your ansewer would be C

Step-by-step explanation:

i hope this helped you

The slope is the intensity of inclination thus the slope of p(x) is greater than the slope of m(x) thus option (A) is correct.

What is the slope?

A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

As per the given function,

p(x) = 157.1x

p(x)/x = slope = 157.1

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

In the function m(x) the slope will be as,

Slope = (188.4 - 125.6)/(3 - 2)

Slope = 62.8

Hence "The slope is the intensity of inclination thus the slope of p(x) is greater than the slope of m(x)".

To learn more about slopes,

https://brainly.com/question/3605446

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Calculate X you must include the steps in your solution and the definitions and/or conjuncture that you use

Answers

Answer: x = 8

because  The upper triangle is an isosceles triangle (the two sides are equal)

=> 5x + 5 = 45°

<=> x = (45 - 5) : 5

<=> x = 40:5 = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

5x + 5 + 5x + 5 + 90 = 180, that is

10x + 100 = 180 ( subtract 100 from both sides )

10x = 80 ( divide both sides by 10 )

x = 8

factorise
3x^2+22x+35
please give me this​

Answers

Answer:

(3x + 7) (x + 5)

Step-by-step explanation:

Hope this helped :)

Answer:

(3x+7)(x+5)

Step-by-step explanation:

Help pls help pls help pls help pls help pls

Answers

Answer:

Domain: -2 < x ≤ 3

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

Since domain encompasses x values only, we are looking at the x-values of the graph. We see that our x-values span from -2 to 3. However, since x = -2 is a open dot, it is NOT included in the domain. Since x = 3 is a closed dot, it IS included in the domain:

(-2, 3] or -2 < x ≤ 3

Answer:

ramen is the true answer to lifes problems  

Step-by-step explanation:

Mr.Gartland writes the expression on the board

Answers

Answer:

what is the expression he wrote?

Step-by-step explanation:

Answer:the question

wh

Step-by-step explanation:

what is 2.99 x 0.6 in dollars and cents plz help:(

Answers

Answer:

the answer is 1. 794

Step-by-step explanation:

Answer:1.794 is the answer to you question.                                                  

Step-by-step explanation:

What is the distance between point (3,2) and line y=1/4x-9

Answers

Answer:

9.94

Step-by-step explanation:

y = [tex]\frac{1}{4}[/tex] x - 9

y - 2 = - 4(x - 3)

y = - 4x + 14

- 4x + 14 = [tex]\frac{1}{4}[/tex] x - 9

16x - 56 = - x + 36

17x = 92

x = [tex]\frac{92}{17}[/tex]

y = (-4) [tex]\frac{92}{17}[/tex] + 14 = - [tex]\frac{368}{17}[/tex] + [tex]\frac{238}{17}[/tex] = - [tex]\frac{130}{17}[/tex]

(3, 2) , ( [tex]\frac{92}{17}[/tex] , - [tex]\frac{130}{17}[/tex] )

d ≈ 9.94396

What is the Bing Ban?

Answers

Answer:

Bing Bang?

Step-by-step explanation:

do you mean the Big Bang?

Carlos alquiló un auto por un día. La tarifa mínima es $595.00 , con un cargo adicional de $8.40 por cada kilómetro que maneje. Carlos pagó $2711.80 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó?

Answers

Answer:

Carlos manejo 252 kilómetros.

Step-by-step explanation:

Dada la siguiente información:

Tarifa fija= $595

Tarifa varaible= $8.4 por km

Costo total= $2,711.8

Primero, establecemos la formula de costo total:

Costo total= tarifa fija + tarifa variable*número de km

Reemplazamos:

2,711.8 = 595 + 8.4x

2,711.8 - 595 = 8.4x

2,116.8/8.4=x

252= x

Carlos manejo 252 kilómetros.

What is Coefficient of the Variable term
The expression 5/3k minus 2 factored is

Answer?

Answers

Answer:

idk so try using quickmath.com

Step-by-step explanation:

:)

the perimeter of an isosceles triangle in which the equal sides measures 12cm each and third side is 8cm_____. please show the working too ^^

Answers

Answer:

The perimeter of the isosceles triangle is 32 centimeters

Step-by-step explanation:

The perimeter of any figure is the sum of the lengths of outline sides

Let us use this fact to solve our question

∵ The perimeter of the triangle is the sum of the lengths of its 3 sides

∵ The triangle is an isosceles triangle

∵ The length of each two equal sides is 12 centimeters

∵ The length of the third side is 8 centimeters

→ Add the lengths of the 3 sides

∴ The perimeter of the triangle = 12 + 12 + 8

∴ The perimeter of the triangle = 32 centimeters

The perimeter of the isosceles triangle is 32 centimeters

how to find the slope

Answers

Answer:

m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

use this formula if you're having two points or a graph

If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual measure of angle 1?\

Answers

Answer:

The actual measure of ∠1 = 40°

Step-by-step explanation:

We are given: ∠1 = 2x+6 and ∠2 = 8x+4

and both angles are supplementary. we need to find the actual measure of ∠1

Supplementary angles: If the angles are supplementary their sum is equal to 180°

In our case ∠1 +∠2 = 180°

2x+6+8x+4=180

Solving the equation to find x, then we can find the actual measure of ∠1

[tex]2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17[/tex]

So, value of x = 17

Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

[tex]\angle1=2(17)+6\\\angle1=34+6\\\angle1=40[/tex]

So, the actual measure of ∠1 = 40°

function or not a function.

Answers

It is not a function
It is not a function

Gggkkrfnmjkvjudni edit moe to see the article in a few weeks before I could have it in here and I don’t think

Answers

Wait what


I don’t get it

Edit mode?

Algebraically determine whether the following function is Even, Odd, or Neither.

f(x) = x^3 - 2x

PLEASE SHOW WORK

Answers

Answer:

b. odd

Step-by-step explanation:

f(-x)^3-2x(-x)

f(-x)=-x^3+2x

f(-x)=-(x^3-2x)

f(-x)=-f(x)

The given function f(x) = x³ - 2x is an odd function.

Given that,
To determine whether the given function is odd, even, or neither.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The given function is f(x) = x³ - 2x,
For the given function to be odd f(-x) = -f(x)
put x = -x in the function,
f(-x) = (-x)³ - 2(-x)
f(-x) = -x³ + 2x

Thus. the given function f(x) = x³ - 2x is an odd function.

learn more about function here:

brainly.com/question/21145944

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Take the parent graph y=x2
What would happen if the equation were to change to y=(x-3)2

Answers

Answer:

The first option is the correct answer.

Step-by-step explanation:

The graph would move to the right 3 units.

Glenn’s teacher asked him to use the absolute value of −7 in an equation.What number should he use?

Answers

Answer:

7

Step-by-step explanation:

opposite value of -7 is 7

Plzz help its only 1 question!!!

Answers

Answer:

D is correct

rost beef sandwich=7$

turkey sandwich=5$

Step-by-step explanation:

Mary ran 2 miles in 23 minutes how long will it take her to run 15 miles

Answers

The answer is 5.75 hourse

The tape diagram models the lengths of two snowboarding trails. The expert trail is 750 meters longer than the beginner trail. How long is each trail? ( Beginner trail: 1 length. Expert trail: 4 lengths) ​

Answers

Answer:

In a tape diagram, each of the lengths represents a fixed quantity of something.

Let's suppose that each one of these lengths represents a distance d.

We also know that the expert trail is 750 meters longer than the beginner one.

And in the tape diagram, the expert trail has 3 more lengths than the beginner trail, then we must have that the difference in distance must be equivalent with the difference in lengths.

750m = 3*d

d = 750m/3 = 250m

Then each length in the tape diagram represents 250m

With this we can find the length of each trail.

The beginner trail has 1 length, then it is 1*250m = 250 meters long.

The expert trail has 4 lengths, then it is 4*250m = 1000 meters long.

URGENT MATH WILL GIVE BRAINLIEST

Answers

Answer:

-22

Step-by-step explanation:

8 - 2 3/5

ANSWER ASAPPPPPP
TO BE BRAINLISET
AND EXPLAIN HOW AND BE RIGHT

Answers

Answer:

5 2/5

Step-by-step explanation:

sorry, I know the answer, but don't know how to explain in words

Answer:

The answer is 5.4

Step-by-step explanation:

To get this first you convert 2 3/5 into a decimal and that gives you 2.6.Now your equation is or 8+(-2.6) either way if you do both problems then you get 5.4.

Which equation represents a line which is perpendicular to the line y=5/4x-7

Answers

y = -4/5x-7.

Step by Step Explanation:

To find perpendicular functions, you have to flip the slope.

PLEASEEEE HELPPPPPP WIll add extra pointtss

Answers

Answer is x = 4
Explanation :-

As B is midpoint of SR :- SB = BR and if. SR = 6x then SB = 3x
AC parallel SR ( MID POINT THEOREM )
Hence AC parallel SB
Similarly , AB parallel CS (MID POINT THEOREM)
So ABCS is a parallelogram
And we know that in parallelogram opposite sides are equal so AC = SB
So now we have AC = 5x - 8 and SB = 3x
So, 5x - 8 = 3x
5x - 3x = 8
2x = 8
x = 4

Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.

Answers

The input would be 7
You do the number machine ‘in reverse’ to figure it out from output to input.
17 - 3 = 14
14 / 2 = 7

Graph y = x + 4

NEED HELP ASAP

Answers

Answer:

Step-by-step explanation:

x

y

4

0

3

1

3

1

2

2

2

2

2. What property is shown with this
equation? How do you know?
65 + (18 + 38) = (18 + 38) + 65

Answers

Answer:

Associative Property

Step-by-step explanation:Because it includes grouping of three numbers and the parentheses group around two different numbers

answer the question below yoyoyoyoyoyoyo

Answers

n+110=180 I think that’s the equation you’re looking for
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