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Alisiya [41]
3 years ago
10

What is 8/21 in simplest form

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0
It is already in simplest form
Hope this helps you!
You might be interested in
If Log 20 = 1.301 what is the value of Logsub100 20?
Charra [1.4K]

Answer:

log_{100}20 = 0.6505

Step-by-step explanation:

log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)

This basically means:

10^{1.301} = 20  (This is the log in exponential form)

Since we don't know what  log_{100}20  is equal to, we will say  log_{100}20 = x

So to solve for log_{100}20 = x, you do the same thing. (convert to exponential form)

100^{x} =20

Now you will notice that both of these equations are equal to 20.

Since 20 = 20,

we can say 100^{x} = 10^{1.301}

Another way of saying 100, is 10^{2} (make the bases the same)

Now we get 10^{2x} = 10^{1.301}      

(we get 2x because an exponent to the power of an exponent (2^{x}) is the same as 2 * x)

Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:

2x = 1.301

x = 0.6505

6 0
2 years ago
2x^3-x^2+x-2 factorize​
bekas [8.4K]

Answer:

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

Step-by-step explanation:

Factorize:

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

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

\implies f(1)=2(1)^3-1^2+1-2=0

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

\implies  f(x)=(x-1)(ax^2+bx+c)

Expanding the brackets:

\implies  f(x)=ax^3+bx^2+cx-ax^2-bx-c

\implies  f(x)=ax^3+(b-a)x^2+(c-b)x-c

Comparing coefficients with the original polynomial:

\implies ax^3=2x^3 \implies a=2

\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1

\implies -c=-2 \implies c=2

Therefore:

\implies  f(x)=(x-1)(2x^2+x+2)

Cannot be factored any further.

4 0
2 years ago
Read 2 more answers
PLEASE HELP!!!!
saveliy_v [14]

Answer:

Hi there!

Your answers are:

1) 38^10

2) 20^3

Step-by-step explanation:

1) Theres a property that goes like this:

(x^m)^n = x^mn

When you do a power of a power, you multiply them together!

2) There's a property that looks like this:

x^ m / x^n = x^ m-n

When dividing exponents, subtract!

Hope this helps!

8 0
3 years ago
WHST IS THE ANSWER TO 3/5 ÷ 7/8 =
uysha [10]

Answer: 24/35

Step-by-step explanation:

3/5 * 8/7

3*8/5*7

24/5*7 = 24/35

6 0
2 years ago
Read 2 more answers
How to solve for X: X-B=A
mamaluj [8]

Answer:

Step-by-step explanation:

(x−a)(x−b)=x2−(a+b)x+ab

Now, this with the third bracket.

(x2−(a+b)x+ab)(x−c)=x3−(a+b+c)x2+(ac+bc+ab)x−abc

But there’s another way to do this, which is easier. Assume the given expression is equal to 0, then, we can form a cubic equation as

x3−(sum−of−roots)x2+(product−of−roots−taken−two−at−a−time)x−(product−of−roots) , which is essentially what we got above.

5 0
3 years ago
Read 2 more answers
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