Use the quadratic formula to solve x^2 -3x - 5 = 0. Round to two decimal places.

Answers

Answer 1

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}[/tex]

Step-by-step explanation:

Given the equation

[tex]x^2\:-3x\:-\:5\:=\:0[/tex]

solving with the quadratic formula

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\mathrm{For\:}\quad a=1,\:b=-3,\:c=-5[/tex]

[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-5\right)}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{29}}{2\cdot \:1}[/tex]

separating the solutions

[tex]x_1=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:1},\:x_2=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:1}[/tex]

solving

[tex]x=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:\:1}[/tex]

  [tex]=\frac{3+\sqrt{29}}{2\cdot \:1}[/tex]

  [tex]=\frac{3+\sqrt{29}}{2}[/tex]

also solving

[tex]\:x=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:\:1}[/tex]

  [tex]=\frac{3-\sqrt{29}}{2\cdot \:1}[/tex]

  [tex]=\frac{3-\sqrt{29}}{2}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}[/tex]


Related Questions

what is the value of x in the isosceles trapezoid below

Answers

I think you forgot to add a photo

What is the equation of the line shown in this graph?

Answers

Answer:

-3-2/-2-(-2)=m

Step-by-step explanation:

y²-y¹/x²-x¹=m

hope this helps

Rewrite the expression 3 √x^8 using rational exponents

Answers

Answer:

x^[tex]\frac{8}{3}[/tex]

Step-by-step explanation:

When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.

hope that helps!

what does smh stand for

my teacher wants to know and i dont even know

Answers

Answer:

"shaking my head"

Step-by-step explanation:

It's an acronym used to express disgrace or annoyance by communicating the feeling of physically shaking your head at something.

HTH :)

Solve the equation below:
2+2 = x

Answers

2+2= 4 soooooo x=4 and yh hope that that helped
2+2=x
4=x
X=4 is the answer

Select all of the possible side lengths for the third side of a triangle if the first two
sides have lengths of 15 in. and 10 in.
9 in
5 in
27 in
3 in
21 in
13 in
12 in
25 in
Next

Answers

Answer:

9, 12, 13, 21

Step-by-step explanation:

let x be the third side, then

difference of 2 given sides < x < sum of 2 given sides , that is

15 - 10 < x < 15 + 10

5 < x < 25

The possible side lengths for the third side from the given list are

9, 12, 13, 21

Convert
431 base 10 divided by 112base 10​

Answers

Answer:

543 i think?

Step-by-step explanation:

You decide to buy a 60 in plasma-screen TV. You borrow $4500 from the
electronics store at 1.9% per month simple interest, with no payments due for
2 years from the date of purchase.
How much will you owe on the loan after 15 months? Round your answer to
the nearest whole dollar.
A. $5783
B. $5355
C. $6552
D. $4586

Answers

The answer is A. $5,783

Explanation:

= $4,500.00(1 + [0.019 * 15])

= $4,500.00(1 + 0.285)

= $4,500.00(1.285)

= $5,782.50

Round $5,782.50 to the nearest whole dollar and you get $5,783

What causes a stars to shine brightly?

Answers

Answer:

Stars are actually exploding when you see them, so the light is produced from the explosion.

Step-by-step explanation:

:)

Answer:  Stars shine because they are extremely hot (which is why fire gives off light — because it is hot). The source of their energy is nuclear reactions going on deep inside the stars.

Step-by-step explanation:

In most stars, like our sun, hydrogen is being converted into helium, a process that gives off energy that heats the star, this energy also causes the star to shine brightly.

You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo on the poster to be 5 feet by 7.5 feet. What is the scale factor of this dilation? PLEASE HELP!!!!

Answers

The answer is 9.

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.            

First of all we will convert dimensions of poster from feet to inches.

Now, let us compare sides of our original photo with corresponding sides of poster.

Now, let us compare the second pair of corresponding sides.

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.      

a gym charges a sign-up fee of $40 and then a monthly rate of $20 per month. How long before you spend $300 on this gym membership? which equation would help you solve (let x be the # of months)​

Answers

Answer:

Where cgym is the cost after m months. To find when the cost is equal, equate the right side of both equations and solve for m :.

Answer:

13 months because 13 x 20 is 260 plus the sign-up fee is 300$ all together

Step-by-step explanation:

the pants cost $45.Gina had a coupon for 15% off. How much money did she save

Answers

6.75 dollars
Step by step

HELP ASAP! What are the slope and the y-intercept of the linear function that is represented by the graph?
A. The slope is 2/3, and the y-intercept is -2.
B. The slope is 2/3, and the y-intercept is 3.
C. The slope is 3/2, and the y-intercept is-2.
D. The slope is 3/2, and the y-intercept is 3.​

Answers

Answer: Y: 2/3 X: 3/2

Step-by-step explanation:

Y rise: 2 run: 3

2/3= Is about 0.6666

And

X: rise: 3 run:2

3/2= 1.5

Answer:

I don't know what the person above put but the slope is 2/3 abd y intercept is -2 so the answer is A on edge

Step-by-step explanation:

IT IS A ON EDGE

Asking for help with this question again...(look at the picture)

Answers

Answer: The first, second, and fourth is functions because every input has exactly one output.

The third and last ones is not functions.

Answer:

The first, third, and second are functions and the fourth and fifth are not a function

Step-by-step explanation:

Function meaning all the numbers in the y column are different so for an example 123 but if the numbers were 212 there are multiply of one number so that would not be a function

Hope this helps you point plz mark me as brainliest

Good night girl ill see you tommorow what does he do next
A fall
B go to bed
C commit arson
or D nothing

Answers

Answer:

A. Fall

alright girl hahaha!!

Andre is writing a paper for science class. He can type 30 words per minute. What is the ratio of words to minutes? Write the ratio three ways. Enter the correct answers in the boxes.​

Answers

Answer:

30:1 (30 words to 1 minute)

1:2 (1 word to 2 secs)

30:60 (30 words to 60 seconds)

Step-by-step explanation:

Can i get brainliest?

What is the answer to this question

Answers

Answer:

Step-by-step explanation:

Tienes que multiplicar 10 ×7

What net force would be required to accelerate a truck at 10 m/s^2 that has a mass of 150 kg.

Answers

fnet=mass * acceleration

=150kg* 10= 1500N

What is the equation of the line in slope-intercept form?

Answers

Answer:

y = mx + b

Step-by-step explanation:

x^2-x-12 factor completely

Answers

(x+3)(x-4)

hope that can help

What is f(5)?I need help ASAP PLEASEEEEE

Answers

5f I believe would be correct

Trevor deposits 1500 in a simple intersect account that pays 4.3% interest annually. After 15 years how much total money would be in the account

Answers

Answer:

Do 1500 ÷ 4.3 and take what you got and multiply by 15 tell me what you got

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the domain {-1, 0, 1, 2, 3} and plot the points on the graph that would best satisfy the equation. The bold grid marks represent one unit, the horizontal red line represents the x-axis while the vertical red line represents the y-axis.

y = 2x

Answers

Answer:

Plot the following points on the graph

[tex](-1, \frac{1}{2})[/tex], (0, 1), (1, 2), (2, 4), (3, 8)

Step-by-step explanation:

If the equation for the line is y = [tex]2^{x}[/tex], whatever the power/exponent  "x" equals, then y is equal to however many times 2 is multiplied by x.

For example, if our domain is {-1, 0, 1 , 2, 3}

then we would plug in each x value into the exponent to find the y-value in order to plot the points to solve the problem.

If x = -1, then y = 1/2. **If there is an a negative exponent it would get turned into a positive fraction with the denominator as the positive version of that number.

[tex]y = 2^{-1} = \frac{1}{2^{1} } = \frac{1}{2}[/tex]

If x = 0, then y = 1

**When the exponent is 0, the number automatically equals 1.

If x = 1, then y = 2.

If x = 2, then y = 4

If x = 3, then y = 8

So you would plot the following coordinates on the graph:

[tex](-1, \frac{1}{2})[/tex]

(0, 1)

(1, 2)

(2, 4)

(3, 8)

Write a recursive rule for the arithmetic sequence: -26, 174, 374,574

Answers

The answer is 774, they numbers are going up by 200

Answer:ummm distributed property

Step-by-step explanation:

Explain why the product of 50 and 80 has three zeros when 50 and 80 each have one zero

Answers

Answer:

Because 50X80=4,000because 5*8=40because 50*80=4,000if 80x50=400 add 08X5=40 so add the 2

Step-by-step explanation:

your welcome

Help me with this again please

Answers

The one on the bottom left.

A fish is hovering at –320 feet in relation to sea level. Then it descends 2 feet per second for 8 seconds. Brenda says that the new position of the fish in relation to sea level is represented by the equation below. 2 times 8 + (negative 320) = 336 Which explains whether Brenda is correct? Brenda is correct because her answer represents 336 feet below sea level. Brenda is correct because Negative 16 + (negative 320) = 336. Brenda is not correct because the new position is 2 times 8 + (negative 320) = Negative 304. Brenda is not correct because the equation should be Negative 2 times 8 + (negative 320) = negative 336. ILL GIVE BRAINLIEST

Answers

Answer:

The answer is D or "Brenda is not correct because the equation should be Negative 2 times 8 + (negative 320) = negative 336"

Step-by-step explanation:

I took the quiz!

Answer:

D

Step-by-step explanation:

(3) A boy has 10 pens in a pack. He gives 2 pens to his friend. What fraction of the pack is left? *

Answers

Answer: [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

10 pens - 2 pens = 8 pens

Write 8 of 10 as a fraction.

You get [tex]\frac{8}{10}[/tex], right?

Now, simplify 8/10.

You get 4/5.

please answer ASAP with WORK worth all my points6(3x–4) –4x

Answers

Answer:

I hope this helps

Step-by-step explanation:

use the distribution process first and then combine like terms

Identify the domain of the function.
Replace the "?" with the correct value to identify the
range of the function.
St.
10
-10

Answers

Answer:

Domain: All real numbers

Range: y is greater than or equal to -5

Step-by-step explanation:

The domain is every possible x value. Because the function keeps going, it will be all real numbers.

The range is every possible y value. Because the function never goes below -5, y has to be greater than or equal to that.

Hope that helps! :D

Other Questions
help me. Please?A college course on the history of investigative reporting would be an important course for an aspiring journalist.TrueFalse 27.0 mL to the nearest milliliter Answer pleaseFastFast What is the correct answer for both? Which of the following was true of Spain in the Middle Ages? Pls help me with this emt so hard and fast to draw and label all parts pls tell me show drawing smart people 100% look at the people in images 2 and 4 and describe what they are doing. Are the situations formal or informal Give a introduction of climate of gandaki province An object is positioned in front of a concave mirror behind the center of curvature. Choose the ray diagram that showsthe proper positioning of the image. WILL GIVE BRAINLIEST!! PLS HELPRead the following poem, You Begin, by Margaret Atwood.xYou Beginby Margaret AtwoodYou begin this way:this is your hand,this is your eye,that is a fish, blue and flaton the paper, almostthe shape of an eye.This is your mouth, this is an Oor a moon, whicheveryou like. This is yellow.xOutside the windowis the rain, greenbecause it is summer, and beyond thatthe trees and then the world,which is round and has onlythe colors of these nine crayons.xThis is the world, which is fullerand more difficult to learn than I have said.You are right to smudge it that waywith the red and thenthe orange: the world burns.xOnce you have learned these wordsyou will learn that there are morewords than you can ever learn.The word hand floats above your handlike a small cloud over a lake.The word hand anchorsyour hand to this table,your hand is a warm stoneI hold between two words.xThis is your hand, these are my hands, this is the world,which is round but not flat and has more colorsthan we can see.xIt begins, it has an end,this is what you willcome back to, this is your hand.xThe endxConcentrate on the following stanza:Once you have learned these wordsyou will learn that there are morewords than you can ever learn.The word hand floats above your handlike a small cloud over a lake.The word hand anchorsyour hand to this table,your hand is a warm stoneI hold between two words.Answer the following questions:1. What does the cloud in the simile represent?2. What does the warm stone signify? Is it only the child's hand?3. how is this description different from saying simply that the hand is warm?4. How is this description different from saying the hand is like a warm stone?5. Is this an effective metaphor? Why or why not? how many millimeters equal 40.7 cm? If Triangle XYZ is any right triangle with right angle at Y, what must be true about Angles YZX andZXY? How many terms are there in the following expression: 3a + 3ab + 7b 2c 4d?5971 I need help. What is a witch cake in the witch hunt short story Find the slope of the line that passes through (5,8) and (2,3). the letters n and d represent integers greater than 0. Which of the following is the same as -(n/d) What does the law of supply suggest?A. The equilibrium price for a product is decided only by buyers.B. The amount of product sellers create is based on the product'sprice.O c. The amount of product buyers purchase is based on the product'sprice.O D. The equilibrium price for a product is decided only by sellers. definicion de hipotenusa Which of the following statements are true? Select all that apply. An item has a listed price of $40. If the sales tax rate is 8% how much is the sales tax (in dollars)