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

Meredith has two different-sized bags of trail mix. The larger bag contains 6.18 ounces of trail mix. The smaller bag contains 6.8 ounces of trail mix. Which bag contains more trail mix? Why?

Answers

Answer:

The smaller bag

Step-by-step explanation:

The smaller bag contains more trail mix.

This is because the quantity of trail mix in the smaller bag (6.8 ounces) is more than that in the larger bag (6.18 ounces).

This makes sense because we are not told the capacities of the bags, so, it is possible that both bags are able to contain much more than 6.8 ounces.

Can someone help me simplify these expressions

Answers

Step-by-step explanation:

4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.

7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9

1. If the original price is $75 and you get a 30% discount. What is the sale
price?

Answers

Answer:

the sale price is 52.50

Step-by-step explanation:

30% discount means that the person pays 70% of the original price

multiply 75 by 70% written as a decimal 0.70

75*0.70 = 52.50

Answer:
The 30% discount is $22.50 off the original price. Thus, a 30% discount on $75 brings the total to $52.50.

Explanation:
First, calculate the 30% discount.

75 • .30 = 22.5

So, this means the 30% discount gives us $22.50 off the original price.

Next, subtract the discount from the original price to find the final total.

75 - 22.5 = 52.5

So, the final total is $52.50.

A chocolate brownie recipe is as follows 200g chocolate ,4eggs 60g flour, 60g cocoa, 100g butter, 250g sugar trhe recipe make 24 brownies sarah is making 96 brownies for the village faire how much cocoa does she need

Answers

Answer:

240g of cocoa

Step-by-step explanation:

96/24 = 4 times as many brownies, 4 times as many ingredients needed. To find the amount of cocoa, multiply the original amount by four to get 60g × 4 = 240g.

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!

Answers

I believe its a because it goes up 4 times and half

Answer:

d) none of the above

Step-by-step explanation:

g is increasing in the intervals:

- 4.5<x<-3.5

and

-1<x<3.5

These are not covered in the answer options

options a) and c) are partially correct

Answer: d) none of the above

How do you solve the inequality 2x-3<-52x−3<−5

Answers

Answer:

Idk it really hard to do

A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds 560. The theater
sells a bag of popcorn for $6 and bottle of soda for $3.50. Let x represent the number of bags of popcorn, and let y represent the
number of bottles of soda. Which Inear inequality can be used to find the quantities of popcorn and soda that should be purchased
to receive a poster?

Answers

5.60+3.50=45 so it would be not today

I WILL MARK YOU BRAINLIEST!!!!!

Answers

Answer:

D.

Step-by-step explanation:

as you ride your bike around the lake. you always go the same distance. the lake doesn't all of a sudden change size.

3× + y = 8, 4× - 3y=2​

Answers

Answer:

x=2

y=2

Step-by-step explanation:

You can use the process of elimination

x can't be 3 because than the first question would be 9+y=8 which is even bigger than the answer.

So now, we try 2. x=2

6+y=8 which =

6+2=8

So y must be two

Then we try it on the

Second one.

8-6=2 which makes sense.

Hope it helps

Answer:

x = 2

y = 2

Step-by-step explanation:

3x + y = 8..…...(1)× -3

4x - 3y = 2......(2)× 1

-9x - 3y = -24.......(3)

4x - 3y = 2..…..........(4)

Cancel -3y - 3y

-9x - 4x = -24 - 2

-13x = -26

Divide both sides by -13

x = 2

Substitute for the value of y

3x + y = 8

3(2) + y = 8

6 + y = 8

y = 8 - 6

y = 2

Can someone help me out solved this problem plz! I need help ASAP! Help me I will mark you as brainiest! Show steps!

Answers

Answer:

14 minutes...

Step-by-step explanation:

Wage for an hour: $11.50 per hour

Wage for first 35 hours: $11.50*35 = 402.5

Wage after 35 hours: $17.25 per hour

Earning in one week: $626.75

Therefore, hours worked :

$626.75 - 402.5 = 224.25

Now 224.25/17.25 = 13

Therefore total hours is

13+35 = 48 Hours

Mark as brainliest

Find the interest when the interest is 4.5 times the principal, the principle is p and the time period is 13.5 years


Plz help!!!!​

Answers

Answer: Interest will be 3%

Step-by-step explanation:

4.5x = x * r * 13.5

4.5x = 13.5x*r

r = 13.5x/4.5x = 3%

Answer:

Interest will be 3%

Step-by-step explanation:

4.5x = x * r * 13.5

4.5x = 13.5x*r

r = 13.5x/4.5x = 3%

Thank you!

Plzzzzz i need help fast

Answers

It is the first third and last

Mike's Bikes has mountain bikes that usually sell for $275 on sale for $220. Mike used this ratio to find the percent change. Is he correct? Explain. StartFraction 55 over 220 EndFraction = 25 percent

Answers

Answer:

No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55

55/275 , or 20%.

Step-by-step explanation:

took the test on edg <3

Answer:

SAMPLE RESPONSE :No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55

275

, or 20%.

Step-by-step explanation:

Which of the following is an x-intercept of the function, f() = x3-5x2 - 8x +48

Answers

Answer:

Step-by-step explanation:

x^3 - 5x2 - 8x + 48 = 0

You haven't supplied a list . To confirm which value is the correct one substitute the values for x and see if the result is 0.

Since the last term is  48 you could try some of the factors of 48 :  1, -1, 2, -2, 3 -3  and so on.

NEED HELP ASAP! Arianna correctly simplified an expression. When she substituted \ into the simplified expression, the value was –4. Which could be Arianna’s original expression? One-sixth (negative 3 x minus 24) One-sixth (negative 5 x minus 8) One-sixth (negative 10 x minus 4) One-sixth (negative 12 x minus 16).

Answers

Answer:

(1/6)(-10x - 4) = -4

Step-by-step explanation:

(1/6)(-3x - 24) = -4

=> -3x - 24 = -4 x 6

=> -3x - 24 = -24

=> -3x = 24 - 24

=> -3x = 0

=> x = 0 (not 2) => Incorrect option

(1/6)(-5x - 8) = -4

=> -5x - 8 = -4 x 6

=> -5x - 8 = -24

=> -5x = 8 - 24

=> -5x = -16

=> x = 16/5 (not 2) => Incorrect option

(1/6)(-10x - 4) = -4

=> -10x - 4 = -4 x 6

=> -10x - 4 = -24

=> -10x = 4 - 24

=> -10x = -20

=> x = 2 => Correct option

(1/6)(-12x - 16) = -4

=> -12x - 16 = -4 x 6

=> -12x - 16 = -24

=> -12x = 16 - 24

=> -12x = 8

=> x = -3/4 (not 2) => Incorrect option

=> Option C is correct

Hope this helps!

Answer: C. One-sixth (negative 10 x minus 4)

Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!

Can someone please help me??

Answers

Answer:

A∪B = {0,1,3,5,6,7,9}

A∩B = {3}

Step-by-step explanation:

A = {1,3,5,7}

B = {0,3,6,9}

Now

A∪B is a union (unity) of both sets

A∪B = {0,1,3,5,6,7,9}

Now

A∩B is the intersection(common elements) of both sets

A∩B = {3}

Answer:

Step-by-step explanation:

A ={1, 3 , 5 , 7}

B= {0, 3 , 6 , 9}

A U B is a set of all distinct elements that are in A or B

A U B = {0, 1 , 3 , 5 , 6 , 7 , 9}

A ∩ B is a set  of all distinct elements that are in both A & B

A  ∩ B = {3}

Which planet is more than one astronomical unit from the Sun? A. Mars B. Earth C. Venus D. Mercury

Answers

Answer: Earth

Step-by-step explanation:

Planet (or Dwarf Planet) Distance from the Sun (Astronomical Units miles km) Number of Moons

Mercury 0.39 AU, 36 million miles 57.9 million km 0

Venus 0.723 AU 67.2 million miles 108.2 million km 0

Earth 1 AU 93 million miles 149.6 million km 1

Mars 1.524 AU 141.6 million miles 227.9 million km 2

(1-√-4)(-3-√-25) with steps pls

Answers

Answer:-14

Step-by-step explanation:

(1-√-4)(-3-√-25)

[(1*-3)-(1*√-25)-(√-4*-3)-(√-4*√-25)]

(-3)-(-5)-(6)-(10)

-14

Answer:

[tex]-13+i[/tex]

Step-by-step explanation:

[tex](1-\sqrt{-4} )(-3-\sqrt{-25} )[/tex]

[tex]\left(1-2i\right)\left(-3-5i\right)[/tex]

[tex]\left(1\times \left(-3\right)-\left(-2\right)\left(-5\right)\right)+\left(1\times \left(-5\right)+\left(-2\right)\left(-3\right)\right)i[/tex]

[tex]=-13+i[/tex]

9x (-2y + 5x) - 4 xy (6x-3y) please the person who answers will be marked as brainliest​. please show working​

Answers

Answer:

See explanation

Step-by-step explanation:

[tex]9x(-2y+5x)-4xy(6x-3y)[/tex]

By the distributive property this is equal to:

[tex]9x(-2y)+9x(5x)-4xy(6x)-4xy(-3y)=\\\\-18xy+45x^2-24x^2y+12xy^2[/tex]

Hope this helps!

The ratio of the areas of two similar polygons is 25:9.

a) What is the ratio of corresponding side lengths?
b) What is the ratio of the perimeters of the polygons?

Answers

Answer:

the side of the length is 5

Step-by-step explanation:

40)
6 cm
4 cm
12 cm
Find the volume of the rectangular prism.
will

Answers

The rectangular prism is 12cm

Answer:

the volume is 288 squared cm

Step-by-step explanation:

Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% interest, compounded monthly to reach the goal in 5 years?

Answers

Answer:

$ 809.78

Step-by-step explanation:

Given that

F = future value = $50,000

Interest rate = r = 1.45% = 0.0145

Number of period per year = 12months

Time expressed in years = 5years

The present value of a periodic deposit

P =( F ×r/n)/{ (1+r/n)^nt} -1

Substituting the values into the above formula

P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1

= 50000×0.001208/(1+0.0012)^60}-1

= 60.4/1.0012)^60}-1

60.416/1.074608-1

60.4/0.07460

= $ 809.779

His monthly deposit will be $ 809.78


There are 13 students in a kindergarten class, if each kindergartner can have only one tank, in how many ways can the teacher out
the following tasks: line leader, wipe down the tables, pass out papers?
Plsss help takin a test

Answers

Answer:

I believe it’s 2,197 possibilities because there are 13 students and 3 tasks, so you multiply 3 13’s together

13 * 13 * 13 = 2,197

the first car costs $90 to rent, and because of its fuel consumption rate, there’s an additional cost of $0.50 per kilometers driven. How much is it for 500 kilometers

Answers

Answer:

It would be $340 (with rental cost)

Without the rental cost it would be $250

Step-by-step explanation:

You have to multiply $0.50 with 500 since you drove 500 kilometers. That gives you $250. When you add the $90 to rent, you get $340.

Equation: 90 + .05k

k= kilometers

Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. If Joanna increases the recipe to use 5 of sugar, how many teaspoon of salt will she need?

Answers

Answer: B. 3 3/4

Step-by-step explanation:

From the question, we are told that Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. Since, uses 1 1/2 teaspoon of salt for every 2 cups of sugar, 1 cup of sugar will use 1/2 of 1 1/2 teaspoon of salt. This will be:

= 1/2 × 1 1/2

= 1/2 × 3/2

= 3/4 teaspoon of salt.

We then multiply the value used for a cup of sugar by 5 since Joanna increases the recipe to use 5 cups of sugar. This will be:

= 3/4 × 5

= 15/4

= 3 3/4

Help plz!!!!!!
−3(4 − a) = 6

Answers

Answer:

a = 6

Step-by-step explanation:

use distribution method:

-3(4-a) = 6

-12+3a = 6

3a = 6+12

3a = 18

a = 18/3 = 6

_____________________________

Hey!!

Solution,

-3(4-a)=6

or, -12+3a=6

or, 3a=6+12

or, 3a=18

or,a=18/3

a=6

So the value of X is 6.

hope it helps..

Good luck on your assignment

___________________________

The points (-3, 5) and (3,5) are two verticles of a square. list all other order pairs that could be the other two verticles of the square.

Answers

Answer:

((-3,-1),(3,-1)),((-3,11),(3,11))

Step-by-step explanation:

The distance between the two vertices is 6

So, add 6 and minus 6 to the y coordinates.

Answer:

( - 3, - 1 ), ( 3, - 1 ) / ( - 3, 11 ), ( 3, 11 )

Step-by-step explanation:

Let us first consider the distance between points ( - 3, 5 ) and ( 3, 5 );

[tex]( - 3, 5 ), ( 3, 5 )\\Distance = 3 + 3 = 6 units[/tex]

If these are points that are vertices of the square, it should be that the other 2 points are 6 units farther from these points;

[tex]Distance = 6 units,\\( - 3, 5 ) - ( - 3, - 1 )\\( 3, 5 ) - ( 3, - 1 )[/tex]

[tex]Distance = 6 units,\\( -3, 5 ) - ( - 3, 11 )\\( 3, 5 ) - ( 3, 11 )[/tex]

Let us confirm ( -3, - 1 ) and ( 3, - 1 ) are 6 units apart, respectively ( -3, 11 ) and ( 3, 11 ) to say they are the other two vertices;

[tex]( - 3, - 1 ), ( 3, - 1 )\\Distance = 3 + 3 = 6 units[/tex]

[tex]( -3, 11 ), ( 3, 11 )\\Distance = 3 + 3 = 6 units[/tex]

Thus, the possible vertices are ( - 3, - 1 ) and ( 3, - 1 ) or ( - 3, 11 ) and ( 3, 11 )

HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?

Answers

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = [tex]\frac{1}{2}(\pi r^2h)[/tex]

                                                     = [tex](\frac{1}{2})(\pi )(17-11)^2(6)[/tex]

                                                     = 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

                                                      = 11 × 6 × 12

                                                      = 792 cubic inches

Volume of the solid figure = 339.29 + 792

                                            = 1131.29

                                            ≈ 1131 cubic inches

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

5x^2 + 10x

Step-by-step explanation:

Area = Width x Height

Area = (5x)(x+2)

Use distributive property

5x^2 + 10x

Answer:

A = 5x^2 + 10x

Hope this helps!

Edit: I did not copy hazeemmajid604's answer.. we just posted it at the same time.

The area of a triangle garden can
be no more than 120 square
feet. The base of a triangle
is 16 feet in
lenght What
inequalitie describes the
possible heights, h, of the
triangular garden?

Answers

Answer:

0< h ≤ 15

Step-by-step explanation:

A = 1/2 * base * height = 1/2*16*h = 8h

A no more is ≤.

A ≤ 120

8h ≤ 120

h ≤ 15

0< h ≤ 15

Height should be  more than 0 feet and no more than 15 feet.

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