The zero product property states that if a . b = 0, then a = 0, b = 0, or both a = 0 and
b=0.
Speculate as to how you think this property might help you when you solve algebraic
equations of the form: (x-r) (xs) = 0.

Answers

Answer 1

Answer:

We all know that if one factor is equal to zero, then the product of all factors is equal to zero.

[tex]ab = 0[/tex] so [tex]a = 0[/tex] or [tex]b=0[/tex]

You have to rewrite the equation as a factored quadratic set both equal to zero.

Example: [tex](x-r_{1} )(x+r_{2}) =0\\[/tex]  to  [tex](2-2)(-2+2) =0[/tex]

[tex]r_{1} = -2 r_{2} = 2[/tex]
[tex]x = 2, -2[/tex]

I hoped this helped


Related Questions

What do we do to both sides of this equation to solve?

x−10=8
Question 2 options:

Subtract 10 from both sides


Add 10 to both sides


Multiply both sides by 10


Divide both sides by 10

Answers

Add 10 to both sides

Step-by-step explanation:

x-10 = 8

x - 10 + 10 = 8+ 10

x = 18

Step-by-step explanation:

Add 10 to both sides

or,x-10+10=8+10

or,x=18

on the number line,label the points that are 5 over 2 units away from 0. What is the distance between these points

Answers

Answer: 5 units

Step-by-step explanation:

5/2 = 2.5

they are 2.5 away on each side of 0 therefore the points are 5 units away from each other

Which expression is equivalent to 8 (a minus 6)?
8 a minus 48
2a
8 a minus 6
48a

Answers

Answer:

8 a minus 48

Step-by-step explanation:

you need to distribute!!

so you distribute the 8 to both the a and 6

8 times a equals 8 a

8 times 6 equals 48

and so that’s how you get 8 a minus 48 c:

Answer:

8 a minus 48

Step-by-step explanation:

Sage borrowed $4500 from her parents to buy her a new car. So far she has repaid $2740 How much money does save still owe her parents?

Answers

Answer:1760

Step-by-step explanation:you get the money given by the parents minus the money given back to the parents

Each face of a cube has an area of 4 square units. What is the volume of the cube?

Answers

If each face has an area of 4 than the side lengths are 2, because area is b•h and 2•2 is 4. Now, volume is length•width•height. All of these will be two because sides are the same in a cube. 2•2•2 is 8, which is your answer

Each face of a cube has an area of 4 square units, then the volume of the cube is 8 cubic units.

The given information states that each face of the cube has an area of 4 square units.

Since a cube has 6 faces, this means that the total surface area of the cube is:

Total Surface Area = 6 * 4 square units = 24 square units

Now, let's relate the surface area of the cube to its volume:

For a cube, the surface area (S) and the volume (V) are related by the formula:

S = 6s²

Where "s" is the length of each side of the cube. In this case, we have:

S = 24 square units

Substitute this into the formula:

24 = 6s²

Now, solve for "s":

s² = 24 / 6

s² = 4

Take the square root of both sides:

s = √4

s = 2

So, each side of the cube is 2 units long.

Now, to find the volume of the cube, you can use the formula for the volume of a cube:

V = s³

Substitute the value of "s":

V = 2³

V = 8 cubic units

Therefore, the volume of the cube is 8 cubic units.

To learn more on volume click :

brainly.com/question/1578538

#SPJ3

Find the value:with steps please
-3/5 x 8/15 x 1/9 x -24/30​

Answers

Answer:

Step-by-step explanation:

What is the value of the rational expression when x = 2?

Answers

Answer:

4

Step-by-step explanation: If this regarding the splitting of two polynomials put through the pyth theorem.

“Find 24% of $240.”

I keep trying and getting a different answer each time, please help

Answers

Answer:

$57.60

Step-by-step explanation:

The first thing you want to do is convert 24% to a decimal. To do this you just need to take the current decimal place and move it 2 places to the left. Since this percentage is a whole number the decimal is just after the 4.

(0.24)

Multiply that decimal by the number you want to find the percentage of

$240 * .24 = $57.60

$240 is the 100%
X Is the 24%
So (24x240)/100
5760/100 = $57.60
Or you can just do 240x0.24=$57.60
24% is the same as 0.24
And 100% is the same as 1

(-4,9), (8,-7)
The endpoints of a diameter of a circle are given. Write the standard equation of the circle.

Answers

Answer:

(x-2)^2+(y-1)^2 = 10^2

(x-2)^2+(y-1)^2 = 100

Step-by-step explanation:

distance between points is diameter

x^2=  (8--4)^2+(-7-9)^2

x^2=12^2+16^2

x^2=144+256

x^2=400

diameter x=20 so radius =10

center point =midpoint (-4+8)/2 and (-7+9)/2

center point =(2,1)

(x-2)^2+(y-1)^2 = 10^2

(x-2)^2+(y-1)^2 = 100

Which statement was made by the negative to indicate a bias in the survey data presented by the affirmative?
The survey did not ask for the students' opinions regarding their freedom of expression.
The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.
The survey was performed in elementary schools, not in high school environments.
The survey only asked female school officials for their opinions, not male school officials.

answer B

Answers

Answer:

The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.

Step-by-step explanation:

What number should be added to – 5 to get 3/5

Answers

Answer:

5.6

Step-by-step explanation:

3/5=0.6

so you would add 5.6 to get 0.6

0.046×0.3
Show your work

Answers

I attached the answer

can you please tell me which one it is and why. thank you​

Answers

Answer

its A the answer is on quizzes  

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

rational numbers do not have unending numbers trailing it

ex: 1, 1/4 13/2

irrational numbers do not end

(pi, square root of 2)

Could someone help me

Answers

Answer:

D) 3^9

Step-by-step explanation:

3^4 3^8 / 3^3

3^4 / 3^3 = 3

= 3 * 3^8

= 3^9

Answer:

(x+2)(x+3)

√2x  

  3

−3  

−4+i

Step-by-step explanation:

Find the missing angle. Your answer will be a number only.

Answers

Answer:

Pretty sure its 60

Step-by-step explanation:

Basic geometry

A salesperson earns 7.5% commission on each vehicle sold. What price
must he sell a vehicle for in order to earn a commission of at least $3,000?

Answers

hey there! I’m just going to write out how I would solve this.

3,000=7.5%⋅x
100/7.5=13 1/3
3,000⋅13 1/3=x
x=$40,000


Jenny paid $8.54 for a pizza. She now has $16.79. With how much money did she start


It needs to be written as an equation

Answers

Answer:

16.79 - 8.54= ? so the answer is 8.25

Step-by-step explanation:

~Hope this helps you~

If Shannon wants to fill a spherical balloon so that it has a circumference of 8π in, how much air will she need to use to fill the balloon?

Answers

The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch

Volume of Sphere

Given Data

Circumference = 8π

Let us find radius

circumference = 2πr

8π = 2πr

8 = 2r

r = 8/2

r = 4 inch

Let us find the volume of the sphere

Volume = 4/3πr^3

Volume = 4/3* π*4^3

Volume = 4/3*π64

Volume = 256π/3

Volume = 85.3 cubic inch

Learn more about volume of sphere here:

https://brainly.com/question/22807400

gradpoint, help me please yall :(

Answers

Answer: B

Step-by-step explanation: How do we find the local extrema? Let f be continuous on an open interval (a,b) that contains a critical x-value. 1) If f'(x) > 0 for all x on (a,c) and f'(x)<0 for all x on (c,b), then f(c) is a local maximum value. 2) If f'(x) < 0 for all x on (a,c) and f'(x)>0 for all x on (c,b), then f(c) is a local maximum value.

You find another case with a sale price of $4.68 after a 40% discount. What is the original price of the case?

Answers

Answer:

11.7

Step-by-step explanation:

Since we know what the price was after the discount, we just have to reverse it. In order to apply a discount to a price, you multiply the number by the discount. e.g, 0.40 * x = 4.68. So to find the original price, we have to do the opposite. The opposite of multiplication is division, so divide 4.68 by 0.40, (0.40 is equivalent to 40%.) and we get 11.7.

11.7 is the original price.

Brainliest please?

Can you guys tell me what 6!/3!

Answers

[tex]\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120[/tex]

Answer:

[tex]\boxed{\sf{120}}[/tex]

Step-by-step explanation:

Use the factorials formula.

Factorials formula:

[tex]\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}[/tex]

→ 6!/3!=6*5*4

⇒ 6*5*4

Solve a order of operations.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

First, multiply.

→ 6*5*4

⇒ 6*5=30

⇒ 30*4=120

= 120

Therefore, the correct answer is 120.

I hope this helps you! Let me know if my answer is wrong or not.

In the figure below, xZ=25 and YZ=17. Find xY.
xY=

Answers

Answer:

XY = 8

Step-by-step explanation:

XY + YZ = XZ , that is

XY + 17 = 25 ( subtract 17 from both sides )

XY = 8

Ejemplos: 4 x 5 = 20 -4.3 = -12 -6-9 = 54 (7) (-7) = -49 Ejercicios: 1. Resuelve 1) -6.4= 2) 4.2 = 5 3) 3 • (-4) = 4) 6 (-4) = 5) (5) (-4) = 6) (-3) (-4) = 7 -5x6= 8) -2 x 1 = 9) -8 -2 = 10) -8 • 4 = ​

Answers

Answer:

37

Step-by-step explanation:

it just it

necesito saber como se resuelve esto (:

Answers

Answer:

Cómo escribir las fracciones en letras?

Así, cuando vayas a leer una fracción, primero menciona el numerador, luego el tipo de partes que se están tomando. Por ejemplo, la fracción se lee siete novenos, y significa que se tomaron siete partes, después de dividir la unidad en nueve.

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth.
4

Answers

Answer:

x=2.6

Step-by-step explanation:

We can use the Pythagorean theorem to find the third side

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 + x^2 = 4^2  where x is the unknown side

9 + x^2 = 16

Subtract 9 from each side

x^2 = 16-9

x^2 = 7

Take the square root of each side

sqrt(x^2) = sqrt(7)

x =2.645751311

Rounding to the nearest tenth

x = 2.6

Answer:

2.65

Step-by-step explanation:

take the length of the third side as x

so,take Pythagoras theorem

4^2=3^2+x^2

16=9+x^2

x^2=16-9

x^2=7

x=√7

x=2.645

x=2.65

number 2022 is not a perfect square give reasons​

Answers

Answer:

No

Step-by-step explanation:

It is not factorial of any number.

HElppppppppppppPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

75 in^2

Step-by-step explanation:

two rectangles on the sides: 60 in^2

5x6 = 30

30x2 = 60

rectangle in the middle: 15in^2

5x3 = 15

altogether area: 75 in^2

60+15 = 75

A composite figure consisting of two right angled triangles lying next to each other. Two sides of the triangle on the left are labeled as 13 millimeters and 5 millimeters. Two sides of the triangle on the right are labeled as x and 35 millimeters."/>

Answers

Answer:

u got this bro come on

x28

SNOWMOBILES Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours. What is the hourly rate Bruce charges to rent a snowmobile

Answers

Answer:

The answer is 33.75 per hour

Step-by-step explanation:

Divide 135 by 4

2=x^2-10x solve by completing the square

Answers

[tex]2=x^2-10x\\\\\implies x^2 -10x =2\\\\\implies x^2 -2\cdot 5 x +5^2 -5^2 = 2\\\\\implies x^2 -2\cdot 5x +5^2 = 2+5^2 \\\\\implies (x-5)^2 = 27\\\\\implies x-5 = \pm\sqrt {27}\\\\\implies x = \pm\sqrt{27} +5=\pm3\sqrt{3}+5\\\\\text{Hence,}~ x = 5+3\sqrt 3~\text{or}~ x = 5-3\sqrt 3[/tex]

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