Solve 5x2-2x-8=0 using the quadratic formula.

Answers

Answer 1

Answer:

[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]

Step-by-step explanation:

The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].

In [tex]5x^2-2x-8=0[/tex], we can assign the values:

[tex]a[/tex] of 5[tex]b[/tex] of -2[tex]c[/tex] of -8

Thus, we have:

[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]

Answer 2

Answer:

(1+√41)/5, (1-√41)/5

Step-by-step explanation:

quadratic formula is (-b±√(b^2-4ac))/2a

in this equation,

a = 5

b = -2

c = -8

plug in the values

(2±√(4 - 4(5)(-8))/10

(2±√(4 + 160)/10

(2±√(164)/10

(2±2√(41))/10

1. (2+2√41)/10

(1+√41)/5

2. (2-2√41)/10

(1-√41)/5


Related Questions

Please help me find all the answers.

Answers

Answer:

g = 10

Step-by-step explanation:

First, let's find the missing value of the 'C'

180 - 110 = 70 degrees

Now that we have the answer for one side, we can make an equation:

2g + 9g + 70 = 180 (area of a triangle is 180 degrees)

11g + 70 = 180

11g = 180 - 70

11g = 110

g = 110 / 11

g = 10

The value of g is 10 so we can now add them to the expression:

2g = 2(10) = 20

9g = 9(10) = 90

To make sure that you have the correct answer, add the values so that you get an answer as 180:

70 + 20 + 90 = 180

hope this helps....

From the given figure, We can notice that :

∠BCA + 110° = 180°      (Because they make a Linear Pair)

⇒  ∠BCA = 180° - 110°

⇒  ∠BCA = 70°

We know that : Sum of the Angles in a Triangle should be equal to 180°

⇒  2g° + 9g° + ∠BCA = 180°

⇒  11g° + 70° = 180°

⇒  11g° = 180° - 70°

⇒  11g° = 110°

⇒  g° = 10°

⇒  9g° = (9 × 10) = 90°

⇒  2g° = (2 × 10) = 20°

The toy store had 20 boxes of dolls and 25 boxes of teddy bears. Each box holds 24 of each. How many dolls and teddy bears did the toy store have in all?

Answers

Answer:

1080

Step-by-step explanation:

               Boxes.             # per box.           Total

dolls.         20.                     24.                     480

bears.        25.                     24.                     600

total.          45.                     24.                   1080

Steps:
20^24=480
24^25=600
600+480=1080

The answer is 1080!
If helped mark me the brainiest!!

Total area of composite figure

Answers

Answer:

Hello! answer: 99 units2

Step-by-step explanation:

9 × 6 = 54 9 × 10 = 90 90 ÷ 2 = 45

54 + 45 = 99 therefore the area is 99 units2 hope that helps!

What is the volume of the rectangular prism below

Answers

Answer:

D. 501,120mm^3

Step-by-step explanation:

Volume of a rectangle:

length x width x height

So, plug in what you know:

80*104.4*60=

501,120mm^3

Aline having a slope of 3/4 passes through the point (-8,4) What would the
equation look like before you solve it, if you were plugging these numbers into the
slope-intercept equation (y=mx+b)?
HELP ME

Answers

Answer:

y=3/4x + 10

Step-by-step explanation:

First, lets put this into Point-Slope form: y-4 = 3/4(x+8)

Now, lets modify the equation in our favor, getting the "y" alone on the left hand side:  y-4 = 3/4(x+8)

                     +4                   +4

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

                  y=3/4(x+8)+4

Now, lets simplify....

                  y=3/4x + 6 + 4 = y = 3/4x+10

And we are done!

Help please I need help

find X

Answers

Answer:

[tex]x = 145[/tex]

Step-by-step explanation:

1.Approach

To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.

Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.

It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).

2. Find the measure of two angles in the triangle

The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,

[tex]x+(unknown)=180[/tex]

Solve for unknown,

[tex]unknown = 180 - x[/tex]

One can also state,

[tex]170+(unknown_2)=180[/tex]

Solve for the unknown,

[tex]unknown_2=10[/tex]

3.Find the degree measure of one of the angles in the octagon

The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.

The formula to find the sum of interior angles in a polygon is as follows,

[tex]S=180(n-2)[/tex]

Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,

[tex]S=180(n-2)\\\\S=180(8-2)[/tex]

Simplify,

[tex]S=180(8-2)\\\\S=180(6)\\\\S= 1080[/tex]

Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.

[tex]1080[/tex] ÷ [tex]8 = 135[/tex]

4. Find the measure of the final angle in the triangle

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.

5. Find the meausre of (x)

The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,

[tex](180-x)+(10)+(135)=180[/tex]

Simplify,

[tex]325-x=180[/tex]

Inverse operations,

[tex]325-x=180\\\\-x = -145\\\\x=145[/tex]

Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below:

Answers

Answer:

The answer is "158.489"

Step-by-step explanation:

for san francisco earthquake:

[tex]\log(\frac{a_1}{T}) + B = 7.8\\\\\log(\frac{a_1}{T})+\log(10^{B}) = 7.8\\\\\log(\frac{a_1}{T} \times 10^{B})=7.8\\\\(\frac{a_1}{T} \times 10^B=10^{7.8}...............(i)[/tex]

similarly , for coloumbia earthquake:

[tex]\frac{a_2}{T}\times 10^B = 10^{5.6}.................(ii)[/tex]

divide equation (i) and (ii):

[tex]\frac{a_1}{a_2}=\frac{10^{7.8}}{10^{5.6}}\\\\\frac{a_1}{a_2}=10^{2.2}\approx 158.489[/tex]

Find the next two terms of each sequence.

1.) -16, 8, -4, 2, ...

2.) 1, 4, 9, 16, 25, ...​

Answers

Answer:

1)=-1;1

2)=36;49

Step-by-step explanation:

1.)aqui la secuncia es dividir en -2

2.)aqui la secuencia es sumar numeros impares es decir:+3;+5;+7 etc

Which value for the constant d makes x=-1 an extraneous solution in the following equation? square 8-x = 2x + d. PLEASE

Answers

The value for the constant, d which makes x= -1 an extraneous solution is; d=5.

Which value for the constant d makes x=-1 an extraneous solution in the equation?

The constant d as given in the task content can be evaluated as follows where, x =-1;

√(8+1) + = 2(-1) +d

√9 = -2 +d

3 = -2 +d.

d = 5.

Read more on equations;

https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

What is point b on the coordinate plane?

Answers

Answer:

its (1,-3) if you got it wrong just let me know :3

Help plz..And No links!! I repeat No links!!

Answers

Answer:54 is the54 d

Step-by-step explanation:

no sorry

An isosceles triangle has a base of 20cm. The vertex angle is 80?. Find the length of each of the two equal sides of the triangle​

Answers

1234567891011234567890

how would i solve this with a graph AND A FUNCTION TABLE?!?!?!?!?

y=-1/4x - 3

Answers

Answer: Slope= (-0.25), y-int= -3

Explanation: The standard form for an equation of a line is y=mx+b where the “m” stands for the slope and the “b” stands for the y-intercept.

PLEASE HELP DUE TONIGHT (W/ WORK IF POSSIBLE) THANK YOU

Answers

The answer is c because I did it and got it right

15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.

Answers

Answer:

221cm squre

Step-by-step explanation:

A guitar factory has a cost of production C(x) = 100x + 56000 , where is the number of guitars produced . If the company needs to break even after 150 units sold, at what price should they sell each guitar ? Use the variable p to represent the price Round up to the nearest dollar .

Answers

Answer:

Step-by-step explanation:

If the company wants to just break even, that means that the cost to produce 150 guitars is equal to the price they charge to make a 0 profit. The cost of 150 guitars is

C(150) = 100(150) + 56000 and

C(150) = 71000. That's how much it costs to produce 150 guitars. If they want to make nothing at all, they have to sell the 150 guitars for

p(x) = 71000/150 so

p(x) = 473.33 or 474

Answer:

473.33 units

Step-by-step explanation:

The breakeven point is the level of production at which the costs of production equal the revenues for a product. So, considering P the price of a guitar unit, we have that:

C(150) = 150.P

P = C(150)/150

P = (100.150 + 56000) / 150

P = (15000 + 56000) / 150

P = 71000/150

P ~ 473.33 units of currency per guitar

Very easy question I will mark you brainliest
1. Is 29 monomial or not monomial ?
Yes or No
2. 5x^7 monomial or not monomial
yes or no

Answers

Answer:

1. Yes

2. Yes

Step-by-step explanation:

A monomial is an algebraic expression consisting of one term. So, 29 is a monomial.

[tex]5x^{7}[/tex] has only one term. So, [tex]5x^{7}[/tex] is a monomial.

In the figure, angle E measures 30°, angle F measures 57°, and angle B measures 27°. What is the measurement of angle A?

A.
27°
B.
66°
C.
87°
D.
93°

Answers

Answer:

66°{B}

Step-by-step explanation:

30°+57°+27°+x=180°

114°+x=180

x=180°-144°

66°

Answer:

I hope this helps

Step-by-step explanation:

For the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side dish, and a dessert.
Here are the items to choose from.
Choice
Possible items
Appetizer
Shrimp cocktail, Onion rings, Buffalo wings
Entree
Grilled chicken, Lamb, Roast turkey, Salmon
Side dish
French fries, Baked potato, Mixed vegetables, Rice, Pinto beans
Dessert
Brownies, Ice cream, Cheesecake, Apple pie
How many dinner specials are possible?

Answers

Answer:

A

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

|48+(-6)|+|-35+7|

Please help me with this! Thank you!

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{|48 - 6| + |- 35 + 7|}[/tex]

[tex]\mathsf{|48 - 6| = \boxed{\bf 42}}[/tex]

[tex]\mathsf{= 42 +| -35 + 7|}[/tex]

[tex]\mathsf{|-35 + 7| = \boxed{\bf -28}}[/tex]

[tex]\mathsf{= 42 + |- 28|}[/tex]

[tex]\mathsf{= 42 + 28}[/tex]

[tex]\boxed{\mathsf{= \bf 70}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 70}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which is the graph of f(x) = 4[1/2]x ?

Answers

Step-by-step explanation:

answer is in picture see

hope it helpful

Select the correct answer from each drop-down menu.
Complete the number sentence to represent finding the fair share of goldfish in each bowl.

Answers

Answer:

30/5=6

Step-by-step explanation:

There’s 30 fish put into five bowls, and there’s six fish in each

Measurement questions please help

Answers

Answer:

There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.

2.8125

Step-by-step explanation:

use thing below to get answers or count them

Which expression represents the algebraic phrase “nine times a number plus thirteen”?
9 minus y + 13
9 + y minus 13
9y + 13
13y + 9

Answers

Answer:

ok so its 9 times a number plus 13 this is shown as c

9y+13

Answer:

ok so its 9 times a number plus 13 this is shown as c

9y+13

Step-by-step explanation:

Multiply the binomials: (8a - 3b) (3a - 8b)

Answers

Answer:

24a²-73ab+24b²

Step-by-step explanation:

(8a - 3b) (3a - 8b) =

24a²-64ab-9ab+24b²

= 24a²-73ab+24b²

Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15

Answers

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

Which of the following steps were applied to ABCD to obtain A'B'C'D'?


PLZZZZ HELP

Answers

Answer:

D

Step-by-step explanation:

Since all the points were shifted the same way, I'll just use point A and point A'.

Point A starts at (3,5) and A' is at (5,2)

If the subract the x coordinates: 5-3=2

Then subtract the y coordinates: 2-5=-3

The 2 is positive, so it is 2 units to the right (the positive x direction) and -3 is negative so 3 units down (negative y direction)

Help plz..And No links!! I repeat No links!!

Answers

Step-by-step explanation:

Apply foil method.

First,

[tex]4z \times z = 4 {z}^{2} [/tex]

Outer,

[tex]z \times - 1 = - z[/tex]

Inner,

[tex]4z \times 1 = 4z[/tex]

Last,

[tex]1 \times - 1 = - 1[/tex]

Add terms.

[tex]4 {z }^{2} + 3z - 1[/tex]

Find F(-5) if f(x)=6

Answers

Answer:

on seconded I will come back and edit my answer

What is the area of the square,in square units?
3/4 unit

Answers

Answer:

9/16

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = (3/4)^2

A = 9/16

Other Questions
Part A (1 point)Determine the area, in square feet, of one triangularface of the square pyramid. Show your work orexplain your answer.Part B (1 point)Determine the total surface area, in square feet, of thesquare pyramid. Show your work or explain youranswer help pleaseeefind the equation of the line passing through (-5, -4) and (13, 5) Help me pleaseeeeeeeeeee VO2 max (maximum oxygen consumption) is the largest amount of oxygenyour body is able to process during rest. *O TrueO False Use the Distributive Property to find 1/36 1/2.ILL MARK YOU SOMETHING LIKE BRAINY GENIUS Which is true about biomechanical principles? allows for more specific feedback to ehance performance allows for more specific feedback to ehance performance courses are not required for a degree in physical education courses are not required for a degree in physical education there are 10 biomechanical principles there are 10 biomechanical principles none of the above A persons true character is revealed during intense competition disagree or Agree and why? HOW AUTHORS ON PAGE 224 AND 233 OFFER DIRECTIONS TO THE READER. BE SPECIFIC. Read the excerpt from act 5, scene 1, of Julius Caesar.BRUTUS. No, Cassius, no:Think not, thou noble Roman,That ever Brutus will go bound to Rome.He bears too great a mind. But this same dayMust end that work the ides of March begun;And whether we shall meet again I know not.Therefore our everlasting farewell take.Forever and forever farewell, Cassius.If we do meet again, why, we shall smile.If not, why then, this parting was well made.How does Shakespeares use of the word everlasting most affect the meaning of this passage?It shifts the focus to the mens consistently loyal friendship.It creates a positive and optimistic view of the future.It suggests that they will not meet again.It highlights their plan to escape their enemy and flee to another country. Un frutero ha comprado 165kg de manzanas a 2 el kilo; se le han estropeado 15 kg y el resto losvende a 4 el kilo. Cunto ha ganado? Help me with these last questions please! Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions what is the importance of the the effective communication in our society Find the slope in each line I need help thank you Look at the painting below. What makes this an example of Expressionism? The number of pages in an Algebra book is 99 less than the number of pages in a geometry book.Write and solve an equation to find the number n of pages in the geometry book. EconomicsA baker bought flour and other ingredients for $250.00 and spent $52.00on distribution, sold the bread for $320.00. The value added isa) $302.00b)$52.00c)$18.00d) $622.00 A scientist is working with a type of bacteria that duplicates itself every minute. He used the function f(b)=1 and the function g(b)=2^b to create the function h(b)=12^b, where b is the time in minutes.After 5 minutes, how much bacteria should there be? 19