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3 years ago

What is the value of (3x^2+1-1-x)(2) ?

Mathematics

1 answer:

Dafna1 [17]3 years ago

7 0

Answer:

6x^2 -2x

Step-by-step explanation:

As written, the constant terms in the first factor cancel each other. The distributive property is used to perform the multiplication:

(3x^2 +1 -1 -x)(2) = (3x^2 -x)(2) = (3x^2)(2) -x(2)

= 6x^2 -2x

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What is √-11 in the form a+bi?

Mice21 [21]

Given:

The number is $\sqrt{-11}$ .

To find:

The a+bi form of given number.

Solution:

We have,

$\sqrt{-11}$

It can be written as

$\sqrt{-11}=\sqrt{-1\times 11}$

$\sqrt{-11}=\sqrt{-1}\times \sqrt{11}$ $[\because \sqrt{ab}=\sqrt{a}\sqrt{b}]$

$\sqrt{-11}=i\times \sqrt{11}$ $[\because \sqrt{-1}=i]$

$\sqrt{-11}=\sqrt{11}i$

Here, real part is missing. So, it can be taken as 0.

$\sqrt{-11}=0+\sqrt{11}i$

So, a = 0 and $b=\sqrt{11}$ .

Therefore, the a+bi form of given number is $0+\sqrt{11}i$ .

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2 years ago

Dane is investing $150,000 for 30 years at an annually compounded rate of 5.5%. What is the difference between his ending accoun

navik [9.2K]

Total = Principal × ( 1 + Rate )^years
Total = 150,000 * (1.055) ^ 30
Total = 150,000 * 4.9839512884
Total = 747,592.69

Total = 150,000 * (1.065) ^ 30
Total = 150,000 * 6.614366163 
Total = 992,154.92

Difference = 992,154.92 -747,592.69 =
244,562.23 

Source:
http://www.1728.org/compint.htm
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