How to multiply fractions by decimals

1 answer:

4 0

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Perform the multiplication as you would for whole numbers.

When you're done, count the number of digits to the right of the decimal point in each factor and add the result.

Place the decimal point in your answer so that your answer has the same number of digits after the decimal point.

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Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age

Neporo4naja [7]

Answer:

Step-by-step explanation:

Lets assume x is Elgas' age

And y is Alvins age

we know that alvin is 11 years younger than Elga which means,

x=y+11

and the sum of their age is 43

x+y=43

solve it and you get 16

5 0

3 years ago

PLEASE HELPP NOW!!!!!

BaLLatris [955]

Answer:

the codrect answer is 625

3 0

3 years ago

Read 2 more answers

Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A

Vesna [10]

Answer: The required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

Step-by-step explanation: We are given to find the characteristic polynomial of the following 3 × 3 matrix A with unknown variable x :

$A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].$

We know that

for any square matrix M, the characteristic polynomial is given by

$|M-xI|=0,$ where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

$|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.$