If a = (x-3) and b = (x+3), show that 2ab = 2x square - 18

Answers

Answer 1

Step-by-step explanation:

ab = (x - 3)(x + 3)

multiply

ab = x² + 3x - 3x - 9

Simplify

ab = x² - 9

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

2ab = 2(x² - 9)

Distribute

2ab = 2x² - 18


Related Questions

HELP ASAP FOR 100 POINTS

Answers

Answer:

C

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

you are correct already

There are 24 girls in a class. The ratio of girls to boys is 3:8.
How many boys are in the class?​

Answers

Answer:

64 boys.

Step-by-step explanation:

There are 3 girls for every 8 boys.

24/3 = 8

8 * 8 = 64

The number of boys will be [tex]64[/tex] .

What is ratio ?

Ratio is the comparison of two numbers i.e. how much a number contains other.

We have,

Number of girls [tex]=24[/tex]

Ratio of girls to boys [tex]=\ 3:8[/tex]

So,

According to the question,

Let number of girls [tex]=3x[/tex]

Number of boys [tex]=8x[/tex]

And,

We have number of girls so compare them,

i.e. [tex]3x=24[/tex]

⇒[tex]x= 8[/tex]

So, now putting value of [tex]x[/tex] in Number of boys,

i.e.

Number of boys [tex]=8x[/tex]

                           [tex]=8*8[/tex]

Number of boys [tex]=64[/tex]

Hence, we can say that the number of boys will be [tex]64[/tex] .

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What is 615.75 rounded to the nearest hundredth?

Answers

Answer:

615.75

Step-by-step explanation:

PLEASE H LP ME WITH THIS AND SHE WANTS US TO SHOW WORK AND I NEED THE ANSWER AND THE WORK

Answers

ok lets convert first

1/2=0.5

Then divide

2/0.5=4

so now we multiply 50 with 4

50*4=200

The answer would be D

D, 200 miles

help me with these QUESTIONS​

Answers

Answer:

1. no solution

2. x = -6, 6

3. 0

4.x = -3, 3

5. 0

6.x = -4, 4

Step-by-step explanation:

= I'm not sure if right though

HELP PLEASE
Find the outlier of the set of data: 20, 23, 19, 25, 4, 18, 26

Answers

What is the outlier?

Outlier can be defined as

The outlier of the dataset 20, 23, 19, 25, 4, 18, 26 is 4

How to determine the outlier?

The set of data is given as:

20, 23, 19, 25, 4, 18, 26

The outlier of the set of data is a data element that is relatively far from other data elements

In 20, 23, 19, 25, 4, 18, 26, the number 4 is relatively far from other data elements

This means that 4 is an outlier of the dataset

Hence, the outlier of the dataset 20, 23, 19, 25, 4, 18, 26 is 4

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Samantha is saving to buy a new car. She already has $2500 in the bank. She is saving $400 per month. What is the minimum number of months that she will need to save to buy a car that costs $7000.

Answers

Answer: She will need the minimum of  12 months

7000-2500= 4500

4500/2=11.25

11.25 rounded up is 12

(08.06 MC)

Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points)

Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

someone please actually explain this to me. maybe even use real words this time?! this is my last assignment for the year and here I am, wet keyboard from tears, breaking my pencil into tiny bits because of this one algebra question. if I get a bad score on this quiz i'm actually going to have a full-on meltdown! someone for the love of god explain this to me in a way that my adhd brain will understand before I throw myself into the sun. much thanks! :,)

Answers

A. 2x+y=25; x+y=20
x represents cheese wafers and y represents chocolate wafers.

B. I will choose elimination since there is y and y. I can multiply one equation by -1 to get y and -y, which cancels out.
2x+y=25
-x-y=-20

Add equations
x=5

Plug x in
5+y=20
y=15

Final answer: 5 cheese wafers, 15 chocolate wafers

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Answers

Answer:

(-t)^5

Explanation:

There are five t’s

Answer:

(-t)^5

Step-by-step explanation:

Solve (1/5)^x+3 = 125^2x-36 for x without using logarithms.

Answers

Answer:

15

Step-by-step explanation:

As part of her art project, Sarah is painting 2 square
pyramids. The first pyramid has a base with a length of 6
cm and lateral faces with heights of 8.5 cm. The second
pyramid has a base that is half the length of the first
pyramid, and each lateral face has a height of 8.5 cm. What
is the surface area of the second pyramid?

Answers

Answer:

25.5

Step-by-step explanation:

first pyramid: 6*8.5

second pyramid: 3 (half the length of the first) *8.5

3*8.5 = 25.5

Answer:

25.5

Step-by-step explanation:

There are multiple squares you need to find the area of each one by finding the area of each square then adding them together to get the surface area.

What is 49+14? (Equivalent Expressions)

Answers

Answer:

63

BRAINLIST

BRAINLIST

After adding, the value of expression is,

⇒ 49 + 14 = 63

We have to given that,

An expression is,

⇒ 49 + 14

Since, The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Now, We can simplify as,

⇒ 49 + 14

Adding,

⇒ 63

Thus, After adding, the value of expression is,

⇒ 49 + 14 = 63

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e/3=7. please can some one help

Answers

Answer:

e=21

Step-by-step explanation:

Answer:

E = 7 * 3 = 21

21 / 3 = 7

Step-by-step explanation:

how do you find mean...

Answers

Answer:

It’s the middle number of the group

Step-by-step explanation:

Solve the equation for x:

Answers

Answer:

A.   x = 10

Step-by-step explanation:

-5x + 20 = -30

Subtract 20 from both sides

-5x = -50

Divide both sides by -5

x = 10

Answer:

A. x = 10

Step-by-step explanation:

- 5x + 20 = - 30

- 5x = - 30 - 20

- 5x = - 50

5x = 50

x = 50 / 5

x = 10

1/2 x ( 6 x 4 ) divided by (3 + 2)

Answers

Answer:

Step-by-step explanation:

[tex]\frac{\frac{1}{2} *(6*4)}{3+2}\\\\\frac{12}{5} \\\\2.4 = 2\frac{2}{5}[/tex]

Jack earn money walking dogs he charges $8 per day plus $6 per walk (w)

Answers

Answer:

14

Step-by-step explanation:

8 + 6 = 14

Answer:

Step-by-step explanation:

so if he get $8 per day + 6 per walk {w}

so 8 + 6w = 14 change the + into - and change the 8 into -8 and

put it on both side 14 - 8 is 6

then you have to put 6w = 6 then

6/6 is 1 so w = 1 i don't know if i got it right so i am so sorry if it wrong

You want to rent a television. Company A charges $25 per week plus a one-time fee of $52. Company B charges $37 per week plus a one-time fee of $16. After how many weeks are the total costs the same at both companies?

Answers

Company A: 177$

Company B: 238$



Both companies together: 415$

Answer:

3 weeks

Step-by-step explanation:

Set the number of weeks when they are equal as x.

We can then write these equations.

25x + 52 = 37x + 16

Subtract 25x from both sides.

52 = 12x + 16

Subtract 16 from both sides.

36 = 12x

Divide both sides by 12

x = 3

The answer is 3 weeks.

the glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full. How many cups of coffee does it hold when its full?

Answers

Answer:

125 cups

Step-by-step explanation:

45 is 36% of what number?

45 = 0.36n

n = 45 / 0.36

n = 125

Angle CED is 80 degrees adjacent to CEB and is a complementary angle
Angle CED is 100 degrees adjacent to CEB and they are supplementary angle
Angle CED is 90 degrees adjacent to CEB and is a supplementary angle
Angle CED is 50 degrees adjacent to CEB and is a complementary angle

Answers

Answer:

sorry I did this stuff before but don´t remember it

Step-by-step explanation:

Can someone please explain Conditional probability to me

Answers

Answer:

conditional probability is probability based on logic and past events instead of your current data which you got from whichever experiment you did (that is experimental probability)

Step-by-step explanation:

11 Which of these situations cannot be represented by the number -10? A A loss of 10 yards. B) A withdrawal of $10. c) 10 degrees below zero. D) Gaining 10 points. Г​

Answers

Answer:

D

Step-by-step explanation:

Gaining 10 points would be +10

Which is the simplified form of n^-6p^3

Answers

The third choice

If you have a negative exponent n^-6 it becomes 1/n^6
And 1 times p^3 is equal to p^3

So the correct answer is p^3/n^6

Helpity help??????????????????????????????

Answers

Answer:
Equation: 8=4b
b=2
Explanation:
The green line equals 8 and the black time equals 2b+2b. So to form an equation where the green line equals the black line it would look like: 8=2b+2b
8 being the green line
2b+2b being the black line
Then the directions tell us to combine like terms, like terms are terms that are the same such as 2b in this problem, and to combine them means to add them together.
So, 2b+2b= 4b
So the answer is, 8= 4b

In order to solve this equation divide both sides by 4.
Which leaves you with: 8/4= b
Now solve 8/4:
Which gives you:
b=2

what is 3(4j + 6 + 5j) as a verbal expression. please please please help

Answers

Answer:

[tex]3(4j + 6 + 5j)[/tex] as a verbal expression would be three multiplied by the sum of four j, six, and five j.

Step-by-step explanation:

Since three is multiplying the values in the parenthesis, which is a sum of 4j, 6, and 5j, that means the verbal expression of this expression would be three multiplied by the sum of four j, six, and five j.

Sofia bought 3 items that cost a total of $21.99. What is the price of one item?

Answers

Answer: The price of one item is $7.33

Step-by-step explanation:

I*3=21.99

i=7.33

here is my question please anwser as soon as possible !!!!!!!

Answers

Answer:

is it asking which one is a y coordinate?

Answer:

Q'(5, -3), R'(4, -1), S'(0, -2), T'(0, -5)

Step-by-step explanation:

Reflecting across the y-axis causes the x coordinate of a point to change to its opposite. So in terms of x and y: (x, y) ⇒ (-x, y)

Q(-5, -3) ⇒ Q'(5, -3)

R(-4, -1) ⇒ R'(4, -1)

S(0, -2) ⇒ S'(0, -2)

T(0, -5) ⇒ T'(0, -5)

can someone please please please answer this :(
i really need this right now so please :(
yesterday was the deadline I'm late :(

Answers

they observed how the water would become warmer.

the fish would be driven away and the fishermen would catch lesser fish.

farmers would get more profuse crops.

The full name they used was El Nino de Navidad, because El Nino typically peaks around December. El Nino means Little Boy, or Christ Child in spanish.

The farmers get more abundant crops during El Nino because more inland rainfall lead to profuse crop harvest.

The fisherman get less catch during El Nino because the thickness of the eastern pacific ocean increases, preventing water that’s rich in nutrients or cold to reach the surface. this dampened the primary production that the fish depended on.

El Nino gives South America a cooler and wetter winter season.

Southeast Asia typically gets drier-than-average rainfall conditions and Australia typically gets warmer than average weather in the daytime ( caused by a decrease in cloud cover ).

Contrasting to the conditions to South America during this period, El Nino causes North America warmer and drier conditions.

The following function represents the value of a truck, in dollars, after x years:

f(x) = 29,000(0.88)x

What does 0.88 represent?

The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%

Answers

Answer:

The increase in the value of the truck, which is 88%

Step-by-step explanation:

Depreciation can be defined as the reduction of cost of a fixed asset systematically until the value of the asset becomes zero.

Rate of return can be defined as the percentage of interest or dividends earned on money that is invested.

In Financial accounting, a return refers to the amount of profit generated by an investor on an investment over a specific period of time.

Basically, the rate of return which is typically expressed as a percentage of the initial costs of an investment can either be a gain or a loss on an investment. Therefore, a positive rate of return on an investment over a specific period of time, simply means that an investor is making a profit (gains) while a negative rate of return on an investment over a specific period of time, indicates that the investor is running at a loss.

Given the following function;

f(x) = 29,000(0.88)x

Where;

x is the number of years.

We can deduce from the function, that the rate at which the truck is appreciating is 88% (0.88).

Assuming x = 3

f(3) = 29,000(0.88)*3

f(3) = $76,560

Answer:

The decrease in the value of the truck, which is 12%

Step-by-step explanation:

If the decrease in the value of the truck was 88%, then the percentage would be 0.12. So therefore, since 1.00 - 0.12 is 0.88, the decrease in the value of the truck would be 12%.

How big of an electric field exists when an electric force of 2 Newtons is exerted on a charge of 1.602 x 10^-19 Coulombs? *

Answers

Answer:

The electric field experienced by the charge is 1.248 x 10¹⁹ N/C

Step-by-step explanation:

Given;

the magnitude of the force, F = 2 N

the magnitude of the charge, q = 1.602 x 10⁻¹⁹ C

The electric field experienced by the charge is calculated as follows;

[tex]E = \frac{F}{q} \\\\E = \frac{2}{1.602 \times 10^{-19} \ } \\\\E = 1.248 \times 10^{19} \ N/C[/tex]

Therefore, the electric field experienced by the charge is 1.248 x 10¹⁹ N/C.

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Can someone pls help me? I dont feel like going back to look at my questions lol. Analysis1. (10 Points) Is the relationship between the plants and the worms in this experimentsymbiotic? Use data from the experiment to defend your answer. A computer program found that the line y=3x - 52 is the best line of best fit to represent the temperature outside and the amount of ice cream sold on the beach. If the temperature is predicted to be 70 degrees tomorrow, how much ice cream can they expect to sell? Tiffany and Dion are having a walking race. The equation and graph show the distance each person is from the starting line,Tiffany's Distanced = 2.5t, where d is the distance, in yards that Tiffany is from the starting line after t secondsPLEASE ANSWER A., B. And C. What causes the electric field of flowers? CAN SOMEONE PLS HELP MEE!! I BEG YOU PLSS introduction paragraph for a human rights essay can someone help me please and thank youuu Write each as an algebraic expression.4 cubed Find the surface area of the rectangular prism. The surface area of the rectangular prism is (use whole numbers only): ___ ft2Find the surface area of the triangular prism. The surface area of the triangular prism is (use whole numbers only): ___ ft2The total surface of the rectangular and triangular prism together is (use whole numbers only): ___ ft2 some body have asked this question I have forgotten the name the question is: the circumference of a circle is 36 cm what is the radius of a circle if any body finds it then please answer him or herThe formula for the area of a circle is given by A = r, where r is the radius of the circle.Since we know that area A = 36, we can substitute into the formula for area A and get:36= rNow, dividing both sides by in order to begin isolating r on one side of the equation, we get:(36)/ = (r)/36(/) = (/)r36(1) = (1)r36 = rr = 36 (since equality is symmetric, i.e., if a = b, than b =a)Now, taking the square root of both sides, we have:(r) = (36)r = (36) (since a distance cannot be physically negative, then we have to use the positive square root)r = 6 (since (6)(6) = 36)CHECK:A = 3636= (6)36 = (36)36 = 36Therefore, r = 6 is indeed the radius of the circle with an area of 36. What are the different types of excretion? What adaptation do most fish have to sink and dive? Question 9 options: a swim bladder a swim kidney a swim lung a swim kidney which option below is NOT one of the 5 freedoms of the 1st Amendment in the U.S. Constitution.1 Speech 2Press3 Religion Bear arms 4 Petition the government 5 6 Assembly name 5 kinds of food! 5y + 32 = -64 find the value of y ILL GIVE BRAINLEST Determine whether the two angles in each figure are complementary, supplementary, or neither What two Communist-related events occurred in 1949 and frightened Americans? PLEASE HELP ILL GIVE BRAINLIEST calculate the heat required to change 2.0kg of ice at 0C to water at 0C