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3 years ago

Select all solutions for the equation (3x + 5)(2x + 8) = 0

Mathematics

1 answer:

Neko [114]3 years ago

7 0

Answer:

x=-1.67 or x=-4

Step-by-step explanation:

3x+5=0 and 2x+8=0

3x=0-5 2x=-8,,,divide both sides by 2, the two's cancel then x=-4

3x=5 Divide by 3 to hve x on one side,,, thus the answer is -5÷3=1.666...

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adam put $100 in a savings account after 10 years he had $1649 in the account what rate of interest did he earn? use the formula

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Convert the following:<br> 110110two to base ten<br> 25ten to base two<br>

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Answer:

110110 in base 2 when converted in base 10 will be equal to 54
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Step-by-step explanation:

Part 1: 110110two to base ten

For conversion from base 2 to base 10 we multiply each digits of given number with powers of 2

$=1*2^5 + 1 * 2^4 + 0 * 2^3 + 1 *2^2 + 1* 2^1 + 0*2^0\\ =1*32+ 1* 16 + 0 + 1*4 + 1*2 +0\\ =32 + 16 +4 + 2\\ = 54$

So 110110two when converted in base 10 will be equal to 54

Part 2: 25ten to base two

For conversion from base 10 to base 2 we will divide the given number with 2 repeatedly and store the remainders until the quotient comes 1. The solution is as follows:

25/2 = 12 remainder 1

12/2 = 6 remainder 0

6/2 = 3 remainder 0

3/2 = 1 remainder 1

Now the remainders will be written in inverse order as:

=1001 base 2

So 25 in base 10 is equal to 1001 base 2

I hope it will help you!

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3 years ago