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3 years ago

Complete the expression so that it forms a perfect square binomial- 3x^2+18x

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

7 0

Answer:

-3x²+18x-27

Step-by-step explanation:

Given :

-3X²+18x

perfect square : (a+b)²=a² + 2ab + b²

$\frac{-3x^{2} }{-3} +\frac{18x}{-3} ... something else$ divide by -3 to have just a² type

x² -6x ...and something

compare with the perfect squere formula and we know a² is x² , a is x, so second term is 2xb and is -6x so b= -3

x²-6x+9 = (x-3)²

if you reverse and multiply by (-3) we have

-3x²+18x-27

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3 years ago

What is the value of b in the equation (y^-9)^b=y^45?

nevsk [136]

Answer:

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Step-by-step explanation:

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4 years ago

The total cost of four pens and seven mechanical pencils is $13.25. The cost of each pencil is .75 cents. Write an equation to f

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3 years ago

If a positive integer that is not a multiple of 5 is divided by 5, what is the least possible remainder

solniwko [45]

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4 years ago

Becky invests £5000 for 2 years in a bank account.

Arte-miy333 [17]

Answer:

£300

Step-by-step explanation:

We apply the formula for Simple Interest:

$I = \frac{P * R * T}{100}$

where P = Principal

R = Rate of interest

T = Time elapsed (in years)

We are given that P = £5000, R = 3%, T = 2 years

The interest after 2 years will be:

$I = \frac{5000 * 3 * 2}{100} \\\\\\I = \frac{30000}{100}$

I = £300

The interest Becky will get after 2 years will be £300.

6 0

3 years ago