The equation x2 − 9 = 0 has real solution(s).

Answers

Answer 1

Answer:

The roots are real and unequal (3, -3)

Step-by-step explanation:

x²-9=0

ax²+bx+c=0

Comparing we get,

a= 1

b= 0

c = -9

Determinant: b²-4ac

= 0² - 4(1)(-9)

= 36>0

D > 0

Therefore, the equation has real and unequal roots.

Algebraic identity:

x² - a² = (x-a)(x+a)

Using this identity

x²-9 = (x+3)(x-3)

Roots are 3 and -3 which are real and not equal to each other

Hope this answer helps you ..

Answer 2

Answer:

2 real solutions


Related Questions

How do I solve this?

Answers

A=bh/2

A=2/3ft*3/5ft/2

A=2/3×5/5*3/5×3/3/2

A=10/15*9/15/2

A=90÷15/2

A=6ft^2

Answer:

The area of triangle is 1/5 feet².

Step-by-step explanation:

You have to use area of triangle formula, A = 1/2×height×base. Then substitute the following values into the formula :

[tex]area = \frac{1}{2} \times height \times base[/tex]

Let height = 3/5,

Let base = 2/3,

[tex]area = \frac{1}{2} \times \frac{3}{5} \times \frac{2}{3} [/tex]

[tex]area = \frac{1}{2} \times \frac{1}{5} \times \frac{2}{1} [/tex]

[tex]area = \frac{1}{2} \times \frac{2}{5} [/tex]

[tex]area = \frac{1}{5} {feet}^{2} [/tex]

I don’t know if this is correct , please help !!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

change the negative to not domain and the zero to in domain

Step-by-step explanation

*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!

Use the diagram to answer the questions. Find the value of Z. *Use image given above* :)

Answers

Step-by-step explanation:

We can see from the image that z and 20° degrees are complementary, meaning they have a sum of 90°. From this, z = 70°. Hope this helps!

Answer:

70

Step-by-step explanation:

Z is part of a right angle so 90-20 is 70

Please solve 1/3 ÷ 2/3​

Answers

Answer:

1/2

Step-by-step explanation:

[tex]\dfrac{1}{3}\div \dfrac{2}{3}=\\\\\dfrac{1}{3}\times\dfrac{3}{2}=\\\\ \dfrac{3}{6}=\\\\\dfrac{1}{2}[/tex]

Hope this helps!

factorize p^2+pq-pqr​

Answers

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2+pq-pqr​

Factor out a p

p(p+q-qr)

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2 +pq-pqr

= p(p+q-qr)

Which of the following ribbon has the greatest cost per inch?

Answers

You didnt give the sizes of the ribbon so let me help you out. You have to divide the size by total cost, bringing you to the cost per one whatever unit you are using.

To which set of numbers does the number –5 belong? Select all that apply. integers natural numbers rational numbers real numbers whole number.

Answers

Answer:

integers

rational numbers

real numbers

Step-by-step explanation:

i answered the question:)

Using number sets, it is found that the number -5 belongs to these following sets:

Integer numbers.Rational numbers.Real numbers.

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Numbers are classified as:

Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...}. This set is also called natural. Integer numbers: Number without decimals, that can be positive or negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. Real numbers: Rational plus irrational.

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

-5 is a negative number, so it is integer.All integers are rational and real, and thus, -5 is integer, rational and real.

A similar problem is given at https://brainly.com/question/10814303

(—5t^3+4t^2—t)—(8t^2+t)

Answers

Answer:

Step-by-step explanation:

How many real solutions does the equation 8x^2 − 10x + 15 = 0 have?

Answers

Answer:

It has no real solutions.

Step-by-step explanation

Once you calculate the discriminant,  D= (-10)^2 -4 (8)(15), you simplify the expression to get D= -380, which has no real solutions.

Answer:

No solutions

Step-by-step explanation:

Quadratic equations are in the form of ax^2+bx+c, so a = 8, b= -10, and c = 15.

Use b^2 - 4ac to find the discriminant.

-10^2 - 4(8)(15) = -580

If a discriminant is < 0 then there are no real solutions to a quadratic equation. -580 < 0

Therefore, there are no real solutions

Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct?

Answers

Answer:

Both conclusions are correct

Step-by-step explanation:

Ivan: The product of an even number of negative fractions is always positive.

When even numbers of same negative fractions are multiplied together, the product is positive.

For instance: -1 × -1

Since the total numbers to be multiplied are even (two -1), the product becomes +1

Ivan's conclusion is correct.

Polina: The product of an odd number of negative fractions is always negative.

When odd numbers of same negative fractions are multiplied together, the product is negative.

For instance: -1 × -1 × -1 × -1 ×-1

Since the total numbers to be multiplied are odd (five -1), the product becomes -1

(-1 × -1) × (-1 × -1) ×-1

= +1 × +1 × -1

The multiplication of same sign gives positive value while the multiplication of two different signs gives a negative value

= +1 × -1

= -1

Polina's conclusion is correct

Both are correct.

Answer:

both of them

Step-by-step explanation:

11m-14<7m+14 work out

Answers

Step-by-step explanation:

11m - 7m < 14 + 14

4m < 28

m < 28 / 4

m < 7

When will 4a ≤ 16 be true?

Answers

Answer:

It will be true when a ≤ 4

Step-by-step explanation:

You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.

The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? Note: f represents the number of state parks in Florida

Answers

Answer:

number of state parks in Florida is 147.

Equation is  1/3(f) + 36 = 85

Step-by-step explanation:

Given that f represents the number of state parks in Florida.

Also given that number of State Parks in California is 36 more than one third the number of State Parks in Florida

number of State Parks in California = 1/3 (number of State Parks in Florida) + 36

but it is given that There are 85 State Parks in California

and f represents the number of state parks in Florida

85 = 1/3(f) + 36  _________equation

=> 85 - 36 = 1/3 (f)

=> 49 = 1/3 f

=> 49*3 = f

=> f = 147

Thus, number of state parks in Florida is 147.

Equation is  1/3(f) + 36 = 85

Factorise 20x+25

thankful for the help​

Answers

Answer:

5(4x + 5)

Step-by-step explanation:

Given

20x + 25 ← factor out the common factor 5 from each term

= 5(4x + 5)

Answer:

5(4x+5)

Step-by-step explanation:

divide both with the same number into smallest digit

eg: 5(4x+5)=20x+25

if 5x4=20 and 5x5=25

both can be divided by 5 to get smallest number(factorise it)

Gizela teaches 5 yoga classes that are each 3/4 hour. Use the drop down menu to complete the equation below to find the number of hours Gizela teaches yoga
5 classes _______ 3/4 hour per class = / hours ​

Answers

Answer:

3.75 hours (3 hours and 45 minutes)

Step-by-step explanation:

5 times 3/4 = 3.75

Anyone know the answer ?

Answers

Answer:

n = 7

Step-by-step explanation:

[tex]Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ [/tex]

Answer:

n = -7 ∪ 7

=> n = |7|

Step-by-step explanation:

S = 12cm = (n + 5) * (n + 5 - 10) / 2

[tex]S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\[/tex]

please help with question tagged below

Answers

Answer:

1/3

Step-by-step explanation:

3×x=1

x= 1/3

Hello i really need help

Answers

Step-by-step explanation:

The equation is

X + 10205 = 21894

X = 21894 - 10205

X = 11689

find the value of each trigonometric ratio part 2​

Answers

Answer:

15/17

12/37

12/13

20/21

Step-by-step explanation:

5)

cos A = adj/hyp = 15/17

6)

cos C = adj/hyp = 12/37

7)

cos Z = adj/hyp = 36/39 = 12/13

8)

tan A = opp/adj = 20/21

Find the surface area of polyhedra
Pls!! show how you got the surface area ​​

Answers

Answer:

52.48

Step-by-step explanation:

find the cross sectional area which is the triangle

triangle = 1/2 x 8.2 x 6.4 = 26.24

then, use the area to multiply by the extended length of 2

26.24 x 2 = 52.48

what is 98.5x13? estimated guess only

Answers

Answer:

Step-by-step explanation:

Hi, you can get 15 points if you answer this...

Answers

Answer:

Si

Step-by-step explanatio:

Answer:

idk

Step-by-step explanation:

hi

Please HELP. ALSO WHY. 2 question. pLZZ

Answers

Answer:

1). Number of kids on the other side = 16

2). Brian took the time to each piece of pie = 20 seconds

Step-by-step explanation:

1). Let the number of kids on one side = x

  Then the number of kids on other side = 2x

  3 adults helped the side having number of kids = x, then the number of people on this side = x + 3

Since the total number of people on this side = 11

Then the equation will be,

x + 3 = 11

x = 11 - 3

x = 8

Then number of kids on the other side = 2x = 2×8

                                                                           = 16

2). By unitary method,

∵ Brian took the time to eat 6 pieces of the pie = 2 minutes

∴ Brian will take time to eat 1 piece of pie = [tex]\frac{2}{6}[/tex] minutes

                                                                     = [tex]\frac{2}{6}\times 60[/tex] seconds

                                                                     = 20 seconds

Find the slope of the line that passes through (10, 8) and (1, 4).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

2/9 is the slope

Explanation:
8-4 = 4 over 10-1 = 9

Answer:

Step-by-step explanation:

4-8 = -4

1-10 = -9

-4/-9 simplifies to 4/9

Help………………………!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

It is the bottom one...................................................

Answer:d

Step-by-step explanation:(2√7 +3√6) (5√2 +4√3)

To open the bracket, multiply the first rational number (2√7 ) with the two numbers in the other bracket and 3√6 with the other numbers in the other brackets.

2√7(5√2+4√3) + 3√6(5√2+4√3)

Multiply number with number and root with root

10√14 +8√21+15√12+12√18

Then look for the roots which have a perfect number and can be broken down. There is 12 and 18 which have perfect numbers.

10√14 +8√21+(15√4 x√3) +(12√9 x √2)

10√14 +8√21 +15 x 2 x√3 +12 x 3 x √2

10√14+8√21+30√3 +36√2 ans

Algebra 2 can anyone help??

Answers

Answer:

Step-by-step explanation:

cot θ=-9.68

cotθ is negative

so θ lies in 2nd or 4th quadrant.

tan θ=-1/9.68

θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°

3.

sec θ=-9.13+5=-8.13

sec θ is negative so θ lies in 2nd or 3rd quadrant.

cos θ=(-1/8.13)

θ=cos^{-1}(-1/8.13)≈97.1°

Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer: Lester gets about 400 k - 700k in casino hiest

Step-by-step explanation:

factorise 2x^2 -x-21​

Answers

Answer:

(x + 3) × (2x - 7)

Step-by-step explanation:

2x² - x - 21

Write as a difference

2x² + 6x - 7x - 21

Factor the expressions

2x × (x + 3) - 7 (x + 3)

Factor the expression

(x +3) × (2x - 7)

Jill converted the equation of the line 15 x minus 14 y = negative 2 into slope-intercept form and found the slope and y-intercept of the line as follows. 15 x minus 14 y = - 2. 15 x minus 4 y minus 15 x = - 2 minus 15 x. - 4 y = -2 minus 15 x. - 4 y Over - 4= - 2 minus 15 x Over - 4 Y = - 2 Over -4 minus 15 x Over - 4 . y = one-half minus 15 Over 4 x. y = - 15 Over 4x + one-half. slope = -15 Over 4. y-intercept = one-half. What was her mistake? She mixed up the slope and the y-intercept. She got the sign of the slope wrong. She got the sign of the y-intercept wrong. She found the reciprocals of the slope and the y-intercept.

Answers

Answer:

B. She got the sign of the slope wrong.

Step-by-step explanation:

This is the correct answer for edge

Answer:

B

Step-by-step explanation:

She got the sign of the slope wrong.

X = 4/5 (x+10)
Find x

Answers

Answer:

[tex]x=40[/tex]

Step-by-step explanation:

[tex]x=\frac{4}{5}\left(x+10\right)\\\mathrm{Expand\:}\frac{4}{5}\left(x+10\right):\quad \frac{4}{5}x+8\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=\frac{4}{5},\:b=x,\:c=10\\=\frac{4}{5}x+\frac{4}{5}\cdot \:10\\=\frac{4}{5}x+10\cdot \frac{4}{5}\\10\cdot \frac{4}{5}=8\\10\cdot \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{4\cdot \:10}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:10=40\\=\frac{40}{5}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{40}{5}=8\\=\frac{4}{5}x+8\\x=\frac{4}{5}x+8\\\mathrm{Subtract\:}\frac{4}{5}x\mathrm{\:from\:both\:sides}\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\Simplify\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\\mathrm{Simplify\:}x-\frac{4}{5}x:\quad \frac{1}{5}x\\x-\frac{4}{5}x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(1-\frac{4}{5}\right)\\1-\frac{4}{5}=\frac{1}{5}\\=\frac{1}{5}x\\1-\frac{4}{5}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:5}{5}\\=\frac{1\cdot \:5}{5}-\frac{4}{5}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{1\cdot \:5-4}{5}\\1\cdot \:5-4=1\\1\cdot \:5-4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:5=5\\=5-4\\\mathrm{Subtract\:the\:numbers:}\:5-4=1\\=1\\=\frac{1}{5}\\=\frac{1}{5}x\\\mathrm{Simplify\:}\frac{4}{5}x+8-\frac{4}{5}x:\quad 8\\\frac{4}{5}x+8-\frac{4}{5}x[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:\frac{4}{5}x-\frac{4}{5}x=0\\=8\\\frac{1}{5}x=8\\\mathrm{Multiply\:both\:sides\:by\:}5\\5\cdot \frac{1}{5}x=8\cdot \:5\\\mathrm{Simplify}\\x=40[/tex]

Answer:

40

Step-by-step explanation:

x+10= x 5/4

x +10= 5x/4

4x+40= 5x

40= x

x=40

Other Questions
Read the passage from Animal FarmAs Clover looked down the hillside her eyes filled with tears.If she could have spoken her thoughts, it would have been to say that this was not what they had aimed at when they had set themselves years ago to work for the overthrow of the human race. These scenes of terror and slaughter were not what they had looked forward to on that night when old Major first stirred them to rebellion. If she herself had had any picture of the future, it had been of a society of animals set free from hunger and the whip, all equal, each working according to his capacity, the strong protecting the weak, as she had protected the lost brood of ducklings with her foreleg on the night of Major's speech. Instead she did not know why they had come to a time when no one dared speak his mind, when fierce, growling dogs roamed everywhere, and when you had to watch your comrades torn to pieces after confessing to shocking crimes. There was no thought of rebellion or disobedience in her mind. She knew that, even that, even as things were, they were far better off than they had been in the days of Jones, and that before all else it was needful to prevent the return of the human beings. Whatever happened she would remain faithful, work hard, carry out the orders that were given to her, and accept the leadership of Napoleon.Which details best support the theme that oppression can make alternatives seem impossible? Select two options."This was not what they had aimed at when they had set themselves years ago to work for the overthrow of the human race.""If she herself had had any picture of the future, it had been of a society of animals set free from hunger and the whip.""... they were far better off than they had been in the days of Jones, and that before all else it was needful to prevent the return of the human beings.""She would remain faithful, work hard, carry out the orders that were given to her, and accept the leadership of Napoleon."O"... each working according to his capacity, the strong protecting the weak, as she had protected the lost brood of ducklings with her foreleg on the night of Majors speech." How did various groups in the Middle East react to Muhammad and the rise of Islam? Please help me with my question!! in the absence of a constitution the situation of might is right would develop in the state. with refuse to the statement, highlight the importance of the constitution Act 2 Sc. 1 lines 143-144 what comparison is being made in the metaphor in these lines? the tempest In "The Gift of the Magi," what is the irony in O. Henry's description of Madame Sofronie, the hair dealer? Madame, large, too white, chilly, hardly looked the "Sofronie." Using a minimum of 500 words, write an essay discussing the struggle the Greek-Speaking world faced in uniting all of Greece into one political unit. During your discussion, be sure to address the following questions: Why were Athens and Sparta somehow unfit or unable to lead a united Greece? Why were the Macedonians able to succeed in uniting Greece? Was Greece ever really united prior to this? Explain the plasma membrane in easy way. PLEASE HELP!!! Examine the two artworks provided to identify how Egyptian stylistictraits influenced Greek sculpture in the Archaic period. Support yourstatements by identifying two stylistic commonalities and specificallyrefer to the works. Be sure to connect each stylistic element to theculture it is associated with. PLSS HELP ME THXS YOUUUUU!!!!! A prism has a trapezoid as its base whose area is 140 square centimeters. A cylinder with the same height has a radius of 6 centimeters. How much larger, to the nearest cubic centimeter, is the volume of the prism than the volume of the cylinder? Help Me PLEASE!!!A card is chosen at random from a standard deck of 52 cards, and then it is replaced and another card is chosen. What is the probability that at least one of the cards is a diamond or an ace? Temperature transducers of certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:2 1 2 3 1 1 3 2 0 5 3 3 1 3 2 4 7 0 2 30 4 2 1 3 1 1 3 41 2 3 2 2 8 4 5 1 3 15 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 2 3a. Determine frequencies and relative frequencies for the observed values of x = number of non-conforming transducers in a batch. (Round your relative frequencies to three decimal places.)b. What proportion of batches in the sample have at most four non-conforming transducers? (Round your answer to three decimal places.) According to the map the trade route between ancient Egypt and the Indus Valley was approximately A gumball machine has 100 red gumballs. If the red gumballs are 25% of the total number of gumballs, how many gumballs are in the gumball machine? Which of the following conditions must be met in order to make a statistical inference about a population based on a sampleif the sample does not come from a normally distributed population?mu >= 30x >= 30n>= 30 N>= 30 Solve for d.-10 =-2+1/2dA d=-24B. d=-16C. d= -6D. d=-4 to break and turn over earth with a plow; to form a furrow with a plow What word is being defined? A.pageantry B.allusion C.ploughing D.theme Which time expression correctly completes this sentence? Ayer el tiempo estaba fro pero ________ hace mucho calor. How do animals and birds respond to climatic change?