Difference of squares: What is x^2-9=0?
please help me....​

Answers

Answer 1

Answer:

3 or -3

Step-by-step explanation:

You need to factor it to be able to find the solution.

x^2-9=0

(x+3)(x-3)=0  You now need to find 'each' zero, because if one parenthesis equals 0, then you are multiplying the rest of the equation by 0 which will equal 0.

x+3=0  Subtract three

x= -3    

x-3=0  Add three

x= 3

x^2-9 will equal 0 when x is either +3 or -3

Answer 2

Answer:

x=3  x=-3

Step-by-step explanation:

x^2-9=0

We know this is the difference of squares

a^2 - b^2 = (a-b) (a+b)

(x-3)(x+3) =0

Using the zero product property

x-3 =0  x+3 =0

x=3  x=-3


Related Questions

The names of 11 boys and 9 girls from your class are put into a hat. What is the probability that the first two names chosen will both be girls?



Show work please and Thanks

Answers

Answer:

18/95

Step-by-step explanation:

There are a total of 20 names, 9 of which are girl names.

The probability that the first name is a girl name is 9/20.

Since there's one less girl name in the hat, there are now a total of 19 names, 8 of which are girl names.  So the probability that the second name is a girl name is 8/19.

The total probability is (9/20) (8/19) = 18/95.

A college conducted a survey of randomly selected freshmen about their choice of major. The table shows the results of the survey. English 50. Science 35. Engineering 40. Business 45. Education 60. Undecided 50. Other 20. Which inference about all freshmen at this collage is best supported by this information?

Answers

Answer:B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

What is the distance between (-6. 2) and (8.10) on a coordinate grid?

Answers

Answer:

The distance between 2 points is 16.1 units.

Step-by-step explanation:

You have to apply distance formula using coordinates,

[tex]distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Let (x1,y1) be (-6,2),

Let (x2,y2) be (8,10)

[tex]distance = \sqrt{ {(8 - ( - 6))}^{2} + {(10 - 2)}^{2} } [/tex]

[tex]distance = \sqrt{196 + 64} [/tex]

[tex]distance = \sqrt{260} [/tex]

[tex]distance = 2 \sqrt{65} [/tex]

[tex]distance = 16.1 \: units \: (3s.f)[/tex]

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going or
the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of th
population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls.

Answers

The representative sample contained more girls than boys.

The point of a representative sample is to imitate the original population and not duplicate it. It is a more small scale representation of the original study.

With this in mind the first answer choice is wrong because it duplicates the original.
Since the representative sample imitates the original it needs to have the same properties as the original ,in this case there were more girls than boys, the second answer is also wrong.

The third one is correct because it had the same criteria as the original (more boys that girls).

The fourth one is wrong for the same reason as the second answer choice. It doesn’t fit the criteria.

Answer:

C

Step-by-step explanation:

Because I said so

What is the volume of a sphere whose radius is 6 yards

Answers

Answer:

[tex] 904.32 \: {yard}^{3} [/tex]

Step-by-step explanation:

[tex] V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times {6}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times 216 \\ \\ = \frac{4 \times 3.14 \times 216}{3} \\ \\ = \frac{2,712.96}{3} \\ = 904.32 \: {yard}^{3} [/tex]

In the right triangle shown, m\angle J = 60^\circm∠J=60 ∘ m, angle, J, equals, 60, degrees and JL = 6\sqrt{3}JL=6 3 ​ J, L, equals, 6, square root of, 3, end square root. How long is JKJKJ, K?

Answers

Answer:

[tex]|JK|=3\sqrt{3}[/tex]

Step-by-step explanation:

The diagram of the triangle is drawn and attached,

From trigonometric ratios,

[tex]cos \theta =\frac{Adjacent}{Hypotenuse} \\cos60^\circ =\frac{|JK|}{|JL|}\\ 0.5=\frac{|JK|}{6\sqrt{3} }\\$Cross multiply$\\|JK|=0.5*6\sqrt{3}\\|JK|=3\sqrt{3}[/tex]

Answer:

the proof is in the picture

Step-by-step explanation:

Identify the zero(s) of [tex]f(x)=4x^{2} - 20x - 56[/tex]. -- Urgent 10 minutes! Many points!

Answers

Answer:

x = - 2, x = 7

Step-by-step explanation:

Given

f(x) = 4x² - 20x - 56

To find the zeros let f(x) = 0, that is

4x² - 20x - 56 = 0 ( divide through by 4 )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

Linda is making a line plot of the data below. 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 Which line plot represents the data correctly? A. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5 and 1 dot on 14.125 is given. B. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 2 dots on 11.25, 1 dot on 12, 1 dot on 12.5 and 1 dot on 14.125 is given. C. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5 and 1 dot on 13.75 is given. D. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12 and 1 dot on 14.125 is given.

Answers

The plot Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5, and 1 dot on 14.125 is given to represent the data correctly.

Linda is making a line plot of the data below.

11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12.

What is the measurement of 1 foot in inches?

The measurements 12 inches equals 1 foot

The line plot shows a number line from 10 to 15 which is divided into 20 equal parts.

The dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5, and 1 dot on 14.125 are given.

If we look, there's a point at 10.5, 3 points at 11.25, a point at 12, a point at 12.5, and finally a point at 14.125.

This covers all the data provided.

Therefore option A is correct.

To learn more about the data plot visit:

https://brainly.com/question/6592115

Answer:

I’m sorry I really can’t understand the answers but I think it’s a I did it on my test I have proof down there

Step-by-step explanation:

thanks hope it helps have a nice day

PLEASEEE HELPPP MEE WITH THIS QUESTION!!!!!!! I REALLY NEED HELP!!!!! PLS ANSWER IT CORRECTLY NO GUESSING PLSS HELP ASAP!!!!!!!

Answers

Answer: Because each leaf will not have a single digit.  

Step-by-step explanation:

What is the value of x in the equation 3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

Answers

Answer:

-37/68

Step-by-step explanation:

3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4

(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4

10x+4=3/2x-5/8

37/8=-17/2x

37/8 (2)=-17/2x(2)

37/4=-17x

37/68=-x

-37/68=x

20 points if you help please!!!!!!!!!!!!

Answers

Answer:

C and E

Step-by-step explanation:

What is the domain of this exponential function? y=2x

Answers

Answer:

x∈R

Step-by-step explanation:

[tex]y=2^{x}[/tex]

2>0

The domain is all real numbers.

x∈R

The difference of a number and 2 is
_1
3

Answers

Answer:

-5/3

Step-by-step explanation:

Let x be the unknown number

2-x = 1/3

Subtract 2 from each side

2-x-2 = 1/3 -2

x = 1/3 -2

Get a common denominator

x = 1/3 - 2 *3/3

x = 1/3 -6/3

x = -5/3

Answer:

5/3

Step-by-step explanation:

2 - n = ⅓

n = 2 - ⅓

n = (2×3 - 1)/3

n = 5/3

Tia and Ken sold snack bars and magazine subscriptions for the school fundraiser. Tia sold 16 snack bars and 4 magazine subscriptions and raised $132. Ken sold 20 snack bars and 6 magazine subscriptions and raised $190. What was the cost of a snack bar and the cost for a magazine subscription?

Answers

Answer:

The value of the snack bar is $ 2 and that of the magazine subscription is 25 $

Step-by-step explanation:

We have a system of two equations and two unknowns, which would be the following:

let "x" be the cost of the snack bar

Let "y" be the cost of the magazine subscription

16 * x + 4 * y = 132

20 * x + 6 * y = 190 => y = (190 - 20 * x) / 6

replacing:

16 * x + 4 * (190 - 20 * x) / 6 = 132

16 * x + 126.66 - 13.33 * x = 132

2.66 * x = 132 - 126.66

x = 5.34 / 2.66

x = 2

for "y":

y = (190 - 20 * 2) / 6

y = 25

Which means that the value of the snack bar is $ 2 and that of the magazine subscription is 25 $

For which equations below is x = -3 a possible solution? Select three options.
|x] = 3
1x1 = -3
1x1 = 3
|-x] = -3
-[x] = -3

Answers

Answer:

|x|=3, |-x|=3 and - |x|=-3

Step-by-step explanation:

May I please have Brainliest?

Stay safe!!!!!!!!!!!!

Answer:

What he said hope this helps

Step-by-step explanation:

At the state fair, the giant Ferris wheel takes 48 seconds to make one full rotation. The Ferris wheel has a diameter of 60 ft. and the bottom of the wheel is 8 ft. above the ground. If you are the last person on the Ferris wheel and you board at the bottom, which equation below models your height above the ground as a function of time?

Answers

Answer: H = 30ft*cos(2*pi*t/48s + pi) + 38ft.

Step-by-step explanation:

We can use a trigonometric function to model this, let's use:

H = A*cos(w*t) +

where A is a constant, w is the frequency, t is time, and h is of the wheel, this is half the diameter plus the distance above the ground:

30ft + 8ft = 38ft.

A is equal to the radius of the wheel, or half the diameter, A = 60ft/2 = 30ft.

we know that the period is 48 seconds, this means that:

cos(w*0) = cos(w*48s) = 1

then w*48s = 2*pi

w = 2*pi/48s

so now function is:

H = 30ft*cos(2*pi*t/48s) + 38ft.

But we also know that, at t= 0, you must be at the bottom of the wheel, so we must ad a phase of pi to the cosine function

H = 30ft*cos(2*pi*t/48s + pi) + 38ft.

So now when t = 0, we have:

H(0) = 30ft*cos(0 + pi) + 38ft. = 8ft.

[tex]\rm H = 30cos \frac{2 \pi t}{48} + 38 \ ft.[/tex] is the obtained equation below model your height above the ground as a function of time.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given data;

A is a constant,

ω is the frequency

t is the passage of time

h is the wheel's height,

d is the diameter

h = d/2

The equation for the SHM is found as;

y = Acosωt

For the given condition the equation is written as;

H = Acosωt

The distance above the ground;

30ft + 8ft = 38ft.

⇒cos(ωt)

⇒cos(w × 48) = 1

⇒ω×48s = 2π

⇒w = 2π/48s

The obtained function is;

[tex]\rm H = 30cos \frac{2 \pi t}{48} + 38 \ ft.[/tex]

We must add a phase of π to the cosine function since we also know that at time t=0, you must be at the bottom of the wheel.

So now when t = 0, we have:

[tex]\rm H(0) = 30ft\times cos(0 + \pi) + 38ft.\\\\\ H(0) = 8 \ ft.[/tex]

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ5

The two line plots below show the times that Marco and Antonio ran in ten trials of the 40-yard dash.

antonio's:4.5,4.5,4.6,4.6,4.6,4.8,4.8,5.2,5.2,5.3,5.5

Marcos's:4.8,4.8,4.9,4.9,4.9,4.9,5.0,5.0,5.0,5.1

Which of the following can be inferred from the data?

A. Antonio runs the race faster than Marco on average.

B. Marco always runs a better time than Antonio.

C. Marco is more likely than Antonio to improve after a poor race.

D. Antonio's average time is about 5.1 seconds,


Answers

Step-by-step explanation:

The answer is A

Bcz In a race runs faster whoever does it in less time

What is the area of the triangle?

Answers

bh/2 area of a triangle
80/2 = 40

Answer:

= 40

Step-by-step explanation:

A = 1/2bh

A = 1/2 x 10 x 8

A = 1/2 x 80

A = 40

a square number whose digits add up to seven.

Answers

Answer:

list the squares

1x1=1

2x2=4

3x3=9

4x4=16

16  the answer because 1+6=7

hope this helps if you have any questions you can ask

Step-by-step explanation:

Answer:

4's square number : 16

5's square number : 25

32's square number : 1024

40's square number : 1600

49's square number : 2401

50's square number : 2500

Step-by-step explanation:

I might have missed a few but ...

Please help its in math

Answers

Answer:

989 in^2

Step-by-step explanation:

The surface area of the larger cube is

SA = 5 s^2  because she will stain all the sides but the bottom one

SA = 5 * 11^2 = 5*121 = 605

The surface area of the smaller cube is

SA = 6s^2 since she will stain all sides

SA = 6* 8^2 =6*64 =384

Add both surface areas together

605+384

989

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?
O y-4-3(x-1)
0 1-y-3(x-4)
4-4-3(1-x)
1-y, -3(4-x)

Answers

Answer:

y-4=3(x-1) A is correct

Step-by-step explanation:

y−y1=m(x−x1) Point slope form

y-4=3(x-1)

Hope this helps! Please mark brainliest :)

A card is drawn from a normal 52 card deck. The card number and sum are noted, the card is placed back in the deck, then another card is drawn. Find the probability that a) the first card was a queen and the second card as a 10. b) the first card was the Queen of Hearts and the second card was an 8. c) both cards were Jacks. d) the first card was the 5 of Spades and the second card was the Ace of Hearts.

Answers

Step-by-step explanation:

a) There are 4 Queens in a deck, so the probability the first card is a Queen is 4/52 = 1/13.

There are 4 10s in a deck, so the probability the second card is a 10 is 4/52 = 1/13.

The probability of both events is 1/13 × 1/13 = 1/169.

b) There is 1 Queen of Hearts in a deck, so the probability the first card is a Queen of Hearts is 1/52.

There are 4 8s in a deck, so the probability the second card is a 8 is 4/52 = 1/13.

The probability of both events is 1/52 × 1/13 = 1/676.

c) There are 4 Jacks in a deck, so the probability the first card is a Jack is 4/52 = 1/13.

There are 4 Jacks in a deck, so the probability the second card is a Jack is 4/52 = 1/13.

The probability of both events is 1/13 × 1/13 = 1/169.

d) There is 1 5 of Spades in a deck, so the probability the first card is a 5 of Spades is 1/52.

There is 1 Ace of Hearts in a deck, so the probability the first card is a Ace of Hearts is 1/52.

The probability of both events is 1/52 × 1/52 = 1/2704.

What is 3x²-2 if x is -3

Answers

Answer:

Step-by-step explanation:

3x² -2 =3*(-3)²-2=3*9 - 2

         = 27 - 2

        = 25

Find the area of the semicircle. Round your answer to the nearest hundredth.
2 ft
Área: about?

Answers

Answer:

The answer would be .39

Step-by-step explanation:

So first we have to know the eqation to finding the area of a semicircle, this would be:

2r x π  ÷ 2 (r stands for radius)

Ok so since our diameter is 2 we need to divide that in half to find our radius which we would then get .5

And then you we would fill in the blanks and make our eqaution :

2 x 0.5 x 3.14  ÷ 2 which would give us the answer of .39

i have no idea if this is right so pls lmk!

Which point lies on the circle represented by the equation (x + 5)2 + (y − 9)2 = 82?

Answers

Answer:

x = −y+45

Step-by-step explanation:

Step 1: Add -2y to both sides.

Step 2: Add 8 to both sides.

Step 3: Divide both sides by 2.

I got 60p and 70p but that doesn't work, so i need help pls. again, pretty simple question but mt brain isn't working

Answers

Step-by-step explanation:

let's reffer to:

gumbo (x)

raspberry (y) so,

8x + 9y =14. 3 (1)

6x + 3y = 8.1 (2)

devide (2) by 3

2x + y = 2.7

y = 2.7 - 2x (3)

substitute 3 in 1

8x + 9(2.7 - 2x) = 14.3

8x + 24.3 - 18x = 14.3

10 x = 10

x = 1 (ANS)

and y = 0.7 (ANS)

Answer:

Hello There the correct answer to this is The first one is 1029.6 Because you need to multiply 8 x 9 then it will be 72 and then multiply 72 x 14.30 it will be 1029.6 it will the same the Second one is 145.8 Because you you need to multiply the first one multiply 6 x 3 which that 18 the multiply 18 x 8.10 which that will be 145.8 SO both of these answer are the same.

Hope It Helps!

ItsNobody

what are the steps for this question?

Answers

Answer:

1. Add 5 to both sides

2. Divide both sides by 2

3. Take the square root of both sides

4. Subtract 2 from both sides

Step-by-step explanation:

2(x+2)²-5=93

Add 5 to both sides

2(x+2)²=98

Divide both sides by 2

(x+2)²=49

Square root both sides

x+2=7

Subtract 2 from both sides

x=5

Answer:

Let's solve the equation. To do this, we have to get x by itself. Perform the opposite of what is being done to the equation.

1. Add 5 to both sides, since 5 is being subtracted

2(x+2)^2-5=93

2(x+2)^2-5+5=93+5

2(x+2)^2=93+5

2(x+2)^2=98

2. Divide both sides by 2, since 2 is being multiplied

2(x+2)^2=98

2(x+2)^2/2=98/2

(x+2)^2=49

3. Take the square root of both sides, since x+2 is being squared

(x+2)^2=49

√(x+2)^2=√49

x+2=√49

x+2=7

4. Subtract 2 from both sides since 2 is being added

x+2=7

x+2-2=7-2

x=7-2

x=5

If x = 3-2√2 ,then find the value of x2 – 1/x2

Answers

Answer: - 24√2

Step-by-step explanation: i did the math this is what i got

Hello there!

x^2 - (1/x^2)

x = 3 - 2√2 -- (1)

1/x = 1/( 3-2√2 )

= ( 3 + 2√2 ) / (3 - 2√2 )(3+2√2 )

= ( 3 + 2√2 ) / 3² - ( 2√2 )²

3^2 = 9 and 2√2 ² = 8

= ( 3 + 2√2 ) / ( 9 - 8 )

= ( 3 + 2√2) -- (2)

x - 1/x = 3 - 2√2 - ( 3 + 2√2 )

= 6

= 3 - 2√2 - 3 - 2√2

= - 4√2

x² - 1/x² = ( x + 1/x ) ( x - 1/x )

= 6 × ( - 4√2 )

6 x ( -4√2 ) = -24√2

A special cable has a mean breaking strength of 1131 pounds. The standard deviation of the population is 333 pounds. A researcher selects a sample of 30 cables with a mean of 931 pounds. Can one reject the claim that the mean breaking strength is less than 1131 pounds? (Use the 0.05 level of significance)​

Answers

Answer:

[tex]z=\frac{931-1131}{\frac{333}{\sqrt{30}}}=-3.290[/tex]  

Now we can calculate the p value using the alternative hypothesis:

[tex]p_v =P(z<-3.290)=0.0005[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly less than 1131

Step-by-step explanation:

Information given

[tex]\bar X=931[/tex] represent the sample mean

[tex]\sigma=333[/tex] represent the population standard deviation

[tex]n=30[/tex] sample size  

[tex]\mu_o =1131[/tex] represent the value to check

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to verify if the true mean is less than 1131, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 1131[/tex]  

Alternative hypothesis:[tex]\mu <1131[/tex]  

The statistic is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)  

Reaplacing we got:

[tex]z=\frac{931-1131}{\frac{333}{\sqrt{30}}}=-3.290[/tex]  

Now we can calculate the p value using the alternative hypothesis:

[tex]p_v =P(z<-3.290)=0.0005[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly less than 1131

Is 313756 divisible by 9?

Answers

Answer:

No.

Step-by-step explanation:

313756 is not divisible by 9 .

Easy way to find it out. - 313756

3+1+3+7+5+6 = 25

25 is not divisible by 3...so , it is not divisible by 9 too

Hope it helps you

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