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1 year ago

Which is the completely factored form of the following equation? 4a4b2−21a2b+5=0

Mathematics

1 answer:

r-ruslan [8.4K]1 year ago

4 0

The completely factored equation is (a²b - 5)(4a²b - 1)

<h3>How to factor equation?</h3>

4a⁴b² - 21a²b + 5 = 0

let's expand the equation

Therefore,

4a⁴b² - 21a²b + 5 = 0

4a⁴b² - 20a²b - a²b + 5 = 0

Rearrange the equation

4a⁴b² - a²b - 20a²b + 5 = 0

Let's factorise the equation

4a⁴b² - a²b - 20a²b + 5 = 0

a²b(4a²b - 1) - 5(4a²b - 1) = 0

Therefore, the completely factored equation is as follows:

a²b(4a²b - 1) - 5(4a²b - 1) = 0

(a²b - 5)(4a²b - 1)

learn more on equation here: brainly.com/question/8842252

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Let the original number of seats in a row be x;
Let the number rows be y;

( x + 3) * (y - 2 )= 72 and x * y = 72 => 72 + 3 * y - 2 * x = 72 => 3 * y = 2 * x;
=> x is divisible by 3;

1. x = 3 => y = 72 / 3 => y = 24;
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4. x = 12 => y = 72 / 12 =. y = 6;
5. x = 24 =. y = 72 / 24 => y = 3;
6. x = 36 => y = 72 / 36 => y = 2;
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My analysis tell me that the right answer is 9 seats in a row and 8 rows;
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2 years ago

Gabe and Eugenia bought a house! Their loan is for $117,000 , for 15 years at an annual interest rate of 4% . This results in a

cupoosta [38]

Answer:

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Step-by-step explanation:

The amount of interest paid in month one is 4%*$117,000*1/12=$390

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2 years ago

What is the solution of the following equation? 2x-5+3x=35

harina [27]

2x - 5 + 3x = 35 

simplify 

5x - 5 = 35 

add 5 to both sides 

5x - 5 + 5 = 35 + 5 

simplify 

5x = 40 

divide both sides by 5 

5x/5 = 40/5 

simplify 

x = 8 

 

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3 years ago

Read 2 more answers

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aniked [119]

Interest = Pin = principal * interest rate * number of years

Let interest rate be i, then
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2 years ago

I need help on my warm up!! pls thx!

xxMikexx [17]

Step-by-step explanation:

$\tt{30.16 = 17.56 + 5x}$

Swap the sides of the equation :

⤑ $\tt{17.56 + 5x = 30.16}$

We want to remove the 17.56 first.

Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :

⤑ $\tt{5x + 17.56 - 17.56 = 30.16 - 17.56}$

Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.

⤑ $\tt{5x = 12.6}$

Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.

⤑ $\tt{ \frac{5x}{5} = \frac{12.6}{5}}$

Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.

$\pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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7 0

2 years ago