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aliina [53]
3 years ago
13

Helpif x ≠ 3, how would I write x^2 - 9/ x^2 - 3x?

Mathematics
1 answer:
maria [59]3 years ago
3 0
Do you want me to write it for you in standard form?
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Match each expression in the left column with the correct product in the right column.
lesya692 [45]

Answer:

-6

-6i

6i

6

Step-by-step explanation:

1) √4 . √-3 . √-3

$ \sqrt{4} = 2 $

$ \sqrt{-3} . \sqrt{-3} = (\sqrt{-3})^2 $

$ \sqrt{4} . (\sqrt{-3})^2 = 2 \times -3 = $ -6

2) √-4 . √-3 . √-3

$ \sqrt{-4} = 2i $ .

Therefore, $ \sqrt{-4} . \sqrt{-3} . \sqrt{-3} = 2. \sqrt{-1}  \times -3 = 2i \times (-3) =  $ - 6i

3) √4 . √3 . √-3

$ \sqrt{4} = 2 $

$ \sqrt{3} . \sqrt{-3} = (\sqrt{3})^2 . \sqrt{-1} $

$ \implies 2 \times 3i = $ 6i

4) √4 . √3 . √3

$ \sqrt{4} = 2 $

$ \sqrt{3} . \sqrt{3} = (\sqrt{3})^2  = 3 $

Therefore, √4 . √3 . √3 = 2 . 3 = 6

5 0
3 years ago
1. For each event, write the sample space and tell how many outcomes there are.
kozerog [31]

Answer:

A. 14

Step-by-step explanation:

6 0
2 years ago
Help pls this is for my math test.
Stells [14]

Answer:

D is the answers for the question

Step-by-step explanation:

please mark me as brainlest

5 0
3 years ago
Read 2 more answers
Don put $4,000 in a savings account with an interest rate of 4% for three years. If the interest is compounded annually, how muc
miskamm [114]

Answer:

$4,499.46

Step-by-step explanation:

We can use the compound interest formula for this problem:

A=P(1+\frac{r}{n} )^{nt}

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, lets change 4% into a decimal:

4% -> \frac{4}{100} -> 0.04

Now lets plug the values into the equation as shown below:

A=4,000(1+\frac{0.04}{1})^{1(3)}

A=4,499.46

Don will have $4,499.46 at the end of the three years.

4 0
3 years ago
The as x approaches 0 of tan^2x/x
uysha [10]

L=Lim tan(x)^2/x x->0

Since both numerator and denominator evaluate to zero, we could apply l'Hôpital rule by taking derivatives.

d(tan^2(x))/dx=2tan(x).d(tan(x))/dx = 2tan(x)sec^2(x)

d(x)/dx = 1

=>

L=2tan(x)sec^2(x)/1 x->0

= (2(0)/1^2)/1

=0/1

=0


Another way using series,

We know that tan(x) = x+x^3/3+2x^5/15+.....

then tan^2(x), using binomial expansion gives

x^2+2*x^4/3+.... (we only need two terms)

and again apply l'Hôpital's rule, we have

L=d(x^2+2x^4/3+...)/d(x) = (2x+8x^3/3+...)/1

=0 as x->0

3 0
3 years ago
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