Perform the indicated operation.


(4g²-9) ÷ (2g-3)

A. 2g-3

B. 2g+3

C. 2g+3 R 18​

Answers

Answer 1

Answer:

Solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3

Option B is correct.

Step-by-step explanation:

We need to solve [tex](4g^2-9) \div (2g-3)[/tex]

We know that [tex]a^2-b^2=(a-b)(a+b)[/tex]

So, [tex]4g^2-9[/tex] can be written as [tex](2g)^2-(3)^2[/tex]

So, using above formula we will get:

[tex]4g^2-9\\=(2g^2)-(3)^2 \\Using \ formula a^2-b^2 = (a-b)(a+b)\\=(2g-3)(2g+3)[/tex]

So, numerator will become

[tex]\frac{(2g-3)(2g+3)}{(2g-3)} \\Simplifying:\\=2g+3[/tex]

So, solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3

Option B is correct.


Related Questions

Jordan's net income for the year ended December 31, Year 2 was $200,000.

Answers

I need more information to know what you are asking for an answer

Answer:

good for her / him but uh whats the question

how to find a inequality

Answers

Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Divide. Express your answer in simplest form.
8/9 ÷ 8

○7 1/9
○1/9
○8/72
○9​

Answers

Answer:

1/9

Step-by-step explanation:

8/9 ÷ 8/1

8/9 x 1/8 = 8/72

The GCF for 8 and 72 is 8

[tex]\frac{8}{72}[/tex]÷[tex]\frac{8}{8}[/tex]=[tex]\frac{1}{9}[/tex]

Answer: 1/9

see below for work ⤵

How much sparkling water would you need to make 100 quarts of sparkling grape juice? (Recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice)

Answers

Answer:

66.6666

Step-by-step explanation

This is the answer because I found it up here and I got the answer right.

find the inverse of the function y equals x squared minus 12 ​

Answers

Answer:

Step-by-step explanation:

y=x^2-12

The inverse is

√x+12, -√x+12

Solve this system for m and b 342=23m+b 147=10m+b

Answers

Answer:

b = − 3

m = 5 ( 39 + 2 m ) /23

1. m= 342-b/23
2.m= 147-b/10

A poll commissioned by Friends of the Earth and conducted by the Mellman Group found that 72% of American voters are in favor a carbon tax. Suppose that six voters in the United States are randomly sampled and asked whether they favor a carbon tax. Determine the probability that the number answering in the affirmative is a. Exactly four. b. At least two

Answers

Answer:

a

  [tex]P(X = 4) = 0.31599[/tex]

b

 [tex]P(X  \ge 2) = 0.9921  [/tex]

Step-by-step explanation:

From the question we are told that

    The proportion in favor of carbon tax is  [tex]p = 0.72[/tex]

    The sample size is  n  = 6

Generally the distribution of poll  follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators      

   Generally the probability that the number answering in the affirmative is  4 is mathematically represented as

       [tex]P(X = 4) =  ^{6}C_4 *  (0.72)^4 *  (1- 0.72)^{6-4}[/tex]

=>     [tex]P(X = 4) = 0.31599[/tex]

   Generally the probability that the number answering in the affirmative is At least two is mathematically represented as

     [tex]P(X  \ge 2) =  1 -  P( X <  2 ) [/tex]

     [tex]P(X  \ge 2) = 1- [ P(X =  0 ) + P( X = 1)] [/tex]

=>  [tex]P(X  \ge 2) = 1- [ [ 1 *  1 * 0.00048 ]+ [ 6 * 0.72 * 0.00172] [/tex]

=>    [tex]P(X  \ge 2) = 1- [ 0.00791 ] [/tex]

=>    [tex]P(X  \ge 2) = 0.9921  [/tex]

A company has Liabilities of $23,500 and Stockholders' Equity of $56,500. How much
does the company have in Assets?

Answers

$80,000, since the formula is assets=liabilities+owners equity

What's the recursive rule for the arithmetic sequence described in the following list? Use the rule to find the eighth term of the sequence.
5, 9, 13, 17, 21

Answers

Answer:

33

Step-by-step explanation:

T8 = A + (8 - 1) d

T8 = 5 + 7d

T8 = 5 + 7(4)

T8 = 5 + 28

T8 = 33

note : d is the common difference gotten from T2 - T1

Answer:

33

Step by step explanation:

Eight term of the sequence = a + 7d

where:

a= first term

d= common difference

first term = 5

common difference = 4

= 5 + 7(4)

= 5 + 28

= 33

A new basketball 20% off if it’s original price and is now selling for $36 what is the original price of the basketball before
the sale?

Answers

The answer is 180$ hope this helps

the price of a video game was reduced by $60 to 45. By what percentage was the price of the video game reduced?

Answers

Answer:

25% reduced

Step-by-step explanation:

45/60= .75

1-.75=.25

what is the slope of the line

Answers

Answer:

y-mx+b

Step-by-step explanation:

Determine if the following vectors are orthogonal, parallel, or neither.
<2,5> and <-4, 10 >​

Answers

Answer:

the are parallel to eachother

Drag each expression to match each number with an expression.

Number. Expression.
34 34x10*0
3,400 34x10*3
34,000 34x100
340 34x10*1

Answers

Answer:

3,400

Step-by-step explanation:

Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she
received on the previous day. If there were 64 responses the first day, how many were there on the fourth day?
O 100
112
оооо
125
132
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

125

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

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Answers

Answer:

2 1/3

Step-by-step explanation:

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Answers

Answer:

For a hexagon, n=6.

Step-by-step explanation:

Answer:

n = 6

Step-by-step explanation:

A hexagon has 6 sides

Does the three in 3.0 mean

Answers

Answer:

the 3 is in the tenths place, so it represents 3.

Step-by-step explanation:

<3

Brita has a monthly budget of x dollars. She spends $1,425 on her mortgage every month. One-third of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?

Answers

Answer:

y = ⅓(x - 1425)

Step-by-step explanation:

Given

Budget = x

Mortgage = 1425

Required

Determine the amount spent on recreational activities.

First, we need to get the balance after she pays her mortgage.

Balance = Budget - Mortgage

Balance = x - 1425

From the question, we understand that she spends ⅓ of the balance on recreational activities.

Represent this with y.

y is calculated as thus:

y = ⅓ of Balance

y = ⅓ * (x - 1425)

y = ⅓(x - 1425)

Hence, the above equation y = ⅓(x - 1425) can be used to calculate the amount spent on recreational activities

On his most recent math test, Jeremy answered 48 questions correct out of 80 total questions. Which statement can be made about Jeremy's math test?

Answers

Answer:

Jeremy has gotten more than half of the test's questions correctly.

Step-by-step explanation:

To get half of the questions correctly, Jeremy needed at least 40, and Jeremy got more than 40, meaning he got more than half.

please answer if you can? (This is my math from 8th grade)

Answers

Answer:

40!

Step-by-step explanation:

3x+20+40=180

3x+60=180

3x=120

x=40

Answer:

b=40

Step-by-step explanation:

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Answers

This is how you do it

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Probability =0.8854 (Approx)

Step-by-step explanation:

Given:

Mean μ = 100

Standard deviation σ = 15

Computation:

Z at 70

Z = (70-100)/15

Z at 70  = -2

Z at 120

Z = (120-100)/15

Z at 100 = 1.33

Probability = φ(1.33) - φ(-2.0)

Probability = 0.9082-0.0228  

Probability = 0.8854 (Approx)

A 30 foot cable is being cut into pieces that are 7 1/2 feet long

Answers

Answer:

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Step-by-step explanation:

Do you mean a 30 foot cable is being cut into pieces that are 7 1/2 feet long, how many pieces is it cut into?

Answer:

goodluck

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given f(x) = 2x2 + 4x - 3 and g(x) = 5x – 2, find f(x) · g(x).
Must show all work to receive credit! Show your work in the box below.

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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