Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.​

Find The Discriminant Of X2-6x -10 = 0, And Determine The Number Of Real Solutions Of The Equation.

Answers

Answer 1

Answer:

76

2 real solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0

Discriminant: b² - 4ac

Positive - 2 solutions Equal to 0 - 1 solution Negative - No solutions/Imaginary

Step-by-step explanation:

Step 1: Define

x² - 6x - 10 = 0

Step 2: Identify Variables

Compare quadratic.

x² - 6x - 10 = 0 ↔ ax² + bx + c = 0

a = 1, b = -6, c = -10

Step 3: Find Discriminant

Substitute in variables [Discriminant]:                                                            (-6)² - 4(1)(-10)[Discriminant] Evaluate exponents:                                                                36 - 4(1)(-10)[Discriminant] Multiply:                                                                                    36 + 40[Discriminant] Add:                                                                                          76

This tells us that our quadratic has 2 real solutions.


Related Questions

whoever knows how to solve this please help!​

Answers

Answer:

418ft²

Step-by-step explanation:

Find the surface area of both triangle shaped sides.

8 * 12 = 96

96 / 2 = 48 (surface area of one triangular side)

48 * 2 = 96

Find the surface area of both square shaped sides.

10 * 10 = 100

100 * 2 = 200

Find the surface area of the rectangular base side.

12 * 10 = 120

Add everything together.

96 + 200 + 120 = 418

Best of Luck!

what is the equation of a line that passes through points (0,7) and( 2,8)write your answer in slope intercept form

Answers

Answer:

(0,7) and (2,8)

slope =8-7=1

          2-0=2

m=1/2 meaning slope

equation=y-7/x-o=1/2

2(y-7)=1(x-0)

2y-14=x -o

2y=1x +14

y =1/2 x +7

Step-by-step explanation:

to get the slope is y 2-y 1 divide by x 2-x 1 to get 1/2

you then take one point as (x,y)  and one of the coordinates =the slope

then you divide by the 2 on both sides in order to get y=mx + c

What is the value of x

Answers

Answer:

x=12the opposite side of parallelogram are equal

Answer:

8

Step-by-step explanation:

Since, intercepts made by parallel lines on transversals are in proportion.

Therefore,

[tex] \frac{x}{24} = \frac{12}{36} \\ \\ \frac{x}{24} = \frac{1}{3} \\ \\ x = \frac{24}{3} \\ \\ x = 8[/tex]

Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 ​ % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 ​ % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?

Answers

Answer: John would have $1371.33 more in his account than Jack.

Step-by-step explanation:

Formula to calculate amount after t years if compounded continuously:

[tex]A=Pe^{rt}[/tex]

Formula to calculate amount after t years if compounded quarterly:

[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]

, where P= Principal amount, r= rate of interest.

Given: P= $7,600

t=19 years

For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]

For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]

Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]

[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]

Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]

[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]

Difference = 26290.77-24919.44 = $ 1,371.33

John would have $1371.33 more in his account than Jack.

Answer:668

Step-by-step explanation: I just did it.

If you answer correctly the first one will get brainliest so plz answer correctly Which process in photosynthesis uses energy from the sun?(1 point) A splitting water into hydrogen and oxygen B combining carbon dioxide and hydrogen C absorbing carbon dioxide D releasing oxygen

Answers

Answer: A. splitting water into hydrogen and oxygen

Step-by-step explanation:

Photosynthesis is the process by which plants produce glucose by reacting carbon dioxide and water in the presence of sunlight. Chlorophyll which gives the plant its green color, traps sunlight and uses it to split water molecules into their constituent molecules of hydrogen and oxygen.

Glucose is then synthesized from these molecules and used in respiration to release energy for the plant.

A, splitting water into hydrogen

BC =
Round your answer to the nearest hundredth.
B
?
65
А
7

Answers

Answer:

14 = rounded 15

Step-by-step explanation:

What grade r u in?

And what time is where u r?

Answer: 5.52 (answer already rounded)

Step-by-step explanation:

help me plz !!!!!!!!!!

Answers

Step-by-step explanation:

Since y = x + 3

Substitute the value of y for each one into the equation

1. y = 4

4 = x + 3

4 - 3 = x

x = 1

2. y = 8

8 = x + 3

8 - 3 = x

x = 5

3. y = 5

5 = x + 3

5 - 3 = x

x = 5

Hope you got it

eddie who earns $5 per hour worked two hours longer zach who earns $12 per hour. together they earn $30

Answers

5(h+2)+12(h)=30
h=20/17

Will give brainliest please answer please

Answers

Answer:

E,F,B

Step-by-step explanation:

Answer:

A,C,E

Step-by-step explanation:

12/21= .571428571

4/7, 16/28 and 8/14 all result in this decimal

HELP PELASE ASAPppppp

Answers

Answer:

sin M = NK/MK = m/n

cos K = NK/MK = m/n

=> sin M/cos K = 1

Express each ratio as a fraction in simplest form.
26:169 and 36 to 78

Answers

Answer:

Step-by-step explanation:

1. 26/169 = 2/13

2. 36/78= 6/13

PLEASE HELP ME WITH THIS I HATE SCHOOL

Answers

Answer:

B.)[tex]\sqrt{245}[/tex]

Step-by-step explanation:

[tex]\sqrt{245}[/tex]=15.65

7[tex]\sqrt{5}[/tex]=15.65

Hope this helps! :)

Answer:

its is B

Step-by-step explanation:

I just put 7/5 and put the answers below in my calculator and got whatever went with the answer when I put 7/5 (I dont have the square root sign)

answer my question PLEASE

Answers

Answer:

jahshh83828

Step-by-step explanation:

iwhdbwowhei2kdhe829274


Find the missing side of the triangle.

Answers

Answer:

The second option

Step-by-step explanation:

c=[tex]\sqrt{16^{2} +12^{2} }[/tex]

c=20 m

Use the distributive property to find the equivalent expression.
3(2 + x) =__+__x

Answers

Answer:

6+3x

Step-by-step explanation:

multiply each term in the parentheses by the outer term.

6 + 3x

3(2+x) is factored form
So you need to turn it back into standard form

Giving brain list
tell whether the ratio is a proportion
Need work shown
Need 4,5,6,7,8
If u answer with a d*um* answer I will report u

Answers

Answer:

i believe it proportional

Step-by-step explanation:

pls no report me i did this stuff in 6th grade so i forgot :)

When I...
double my number ...
subtract six ...
take the square root and
add four
I get eight.
My number is:

Answers

Answer:

11

Step-by-step explanation:

Work backwards and reverse the operations to find the original number.

Reverse the operations for add four: 8 - 4 = 4

Reverse the operations for take the square root: 4² = 16

Reverse the operations for subtract six: 16 + 6 = 22

Reverse the operations for double the number: 22 ÷ 2 = 11

Vitai ir 8 reizes vairak konfekšu neka Annai, bet Uldim ir par 10 konfektēm vairak neka Annai. Cik konfektes ir katram no bērniem, ja kopa viņiem ir 60 konfektes? Lai atrisinatu, sastadi vienadojumu!

Answers

Atbilde:

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Soli pa solim:

Latvietis

Anna = x

Vita = x + 8

Uldis = x + 10

Kopā = 60

x + x + 8 + x + 10 = 60

3x + 18 = 60

3x = 60 - 18

3x = 42

x = 42/3

x = 14

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

please help me on this will give you brainliest

Answers

Answer:

7.76 × 10^8

Step-by-step explanation:

Answer:

i think i would be 1.94x10^8

Step-by-step explanation:

Which expression is equivalent to (5^3)^-2

Answers

(5^3)^−2 = 5^-6 = 1/(5^6)

Kristina is four-fifths as old as her sister. Kristina is 12 years old. Write a multiplication equation and solve the equation to determine her sister's age

Answers

Answer: Kristina  sister's age = 15 years

Step-by-step explanation:

LET the sister's age be rep as x

SO that Kristina = 4/5 of x

Given that Kristina's age = 12 , Then her sister's age can be found using The equation

4/5 x X= 12

4/5 X =12

X = 5 X 12 / 4

=60/4=15

Kristina's sister's age = 15 years.

please help asap!!!!

Answers

Answer:

x ≤ 7.5

Step-by-step explanation:

First, get x alone by multiplying both sides by 3 (to get rid of the fraction)

3 (1/3x) ≥ 3(2.5)

x ≤ 7.5

(The sign will flip whenever you multiply or divide in an inequality)

Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5

How do I graph y=x-3 and y=-2x+6

Answers

Answer:

you can use a graphing calc

Step-by-step explanation:

what iis the answer to this question
1/5x40

Answers

Answer:

8

Step-by-step explanation:

Answer:

1/5 x 40 = 8

(Hope this helps! Btw, I am the first to answer.)

x²+8x-84=0

Formúla General ​

Answers

Answer:

                [tex]x_{1} =-14\\\\x_{2} =6[/tex]

Step-by-step explanation:

[tex]x^{2} +8x-84=0\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x=\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1}=\dfrac{-8 \pm \sqrt{400 } }{2}=\dfrac{-8 \pm20}{2} =-4 \pm 10\\\\x_{1} =-14\\\\x_{2} =6[/tex]

En la tabla 1.8 se presentan los puntos de ebullición aproximados de algunos elementos de la tabla periodica flúor -180 hidrogeno -253 argón -186 helio -269 nitrógeno -196 neón -246 ¿Cuál es el elemento químico con el mayor punto de ebullición?¿ y con el menor?

Answers

Answer:

Lowest boiling point = helium.

Highest boiling point = fluorine

Step-by-step explanation:

Given :

fluorine -180

hydrogen -253

argon -186

helium -269

nitrogen -196

neon -246

Arranging the boxing points of each chemical element on a number line, the least which will be located to the leftmost part is Helium with a boiling point of - 269 ; while the highest will be fluorine which is - 186°C

can someone help me, file attached

Answers

Answer:

C. log 10m is the correct answer.

Step-by-step explanation:

The laws of logarithm states that if you have:

[tex] log(a) + log(b ) = log(a \times b) = log(ab) [/tex]

So, comparing that to your question,

[tex] log(m) + log(10) = log(10m) .[/tex]

No it is A c means you multiply them

‼️help please.‼️What is the slope-intercept equation of the line with a slope
4
of and a y-intercept of 3?
5

Answers

Answer:

C

Step-by-step explanation:

according to the standard equation;

Y=mX+C

or, Y=4/5X +3

Three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour

Answers

Answer:

0.5 pounds per container.

Step-by-step explanation:

just divide 3 pound by 6 containers so it would be 3/6 which is equal to 1/2 which is the same as 0.5

There each container holds a number of pounds of flour which would be  0.5 pounds.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

If three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour, we can find out how many pounds of flour each container holds by dividing the total amount of flour by the number of containers.

We can use the following equation to find out how many pounds of flour each container holds:

pounds of flour per container = total pounds of flour / number of containers

So, using this equation:

pounds of flour per container = 3 / 6

Apply the division operation, and we get

pounds of flour per container = 0.5

Each container holds 0.5 pounds of flour.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

A 24-ft ladder leans against the outside wall of a school, waiting for someone to climb and fix a broken window. The base of the ladder is 15 ft from the base of the building. Before Levi climbs the ladder, he wants to make sure he has the ladder at a safe angle with the building before climbing. Find the angle of elevation the ladder makes with the ground.

a. approx. 51.3°

b. approx. 32.0°

c. approx. 38.7°

d. approx. 58.0°​

Answers

I am learning this right now but in two hours I will tell you

Answer:

A) 51.3 degrees

Step-by-step explanation:

cosine x=15/24=0.625

x=51.32 degrees

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