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katen-ka-za [31]
3 years ago
10

Just rationalize and simplify

Mathematics
2 answers:
aksik [14]3 years ago
7 0

\mathsf{Given :\;\;\dfrac{\sqrt{a + 1} - 2}{\sqrt{a + 1} + 2}}

\mathsf{Multiplying\;Numerator\;and\;Denominator\;with\;\sqrt{a + 1} - 2,\;We\;get :}

\mathsf{\implies \dfrac{(\sqrt{a + 1} - 2)(\sqrt{a + 1} - 2)}{(\sqrt{a + 1} + 2)(\sqrt{a + 1} - 2)}}}

\mathsf{\implies \dfrac{(\sqrt{a + 1} - 2)^2}{(\sqrt{a + 1})^2 - (2)^2}}}

\mathsf{\implies \dfrac{(\sqrt{a + 1})^2 + (2)^2 - 2(\sqrt{a + 1})(2)}{a + 1 - 4}}}

\mathsf{\implies \dfrac{a + 1 + 4 - 4\sqrt{a + 1}}{a + 1 - 4}}}

\mathsf{\implies \dfrac{a + 5 - 4\sqrt{a + 1}}{a - 3}}}

Fantom [35]3 years ago
6 0

Answer:

(a+5)-4√(a+1) /(a-3)

Step-by-step explanation:

√(a+1) - 2 / √(a+1) + 2

={√(a+1) - 2 }{√{(a+1) - 2 }  / {√(a+1) + 2} {√(a+1) - 2 }

={√(a+1) - 2 }² / {√(a+1)}² - 2²

=[ {√(a+1)}² -4√(a+1) +4 ] / a+1-4

=[a+1-4√(a+1)+4] / (a-3)

=(a+5)-4√(a+1) /(a-3)

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F(x)=x^2. What is g(x)?
Nina [5.8K]

Answer:

C

Step-by-step explanation:

I'm super sorry if I get this wrong you don't have to choose C I feel like I'm wrong but have a nice day

4 0
3 years ago
For every 9 black and white copies printed there are 2 color copies printed. If there are 200 color copies printed how many blac
alexandr402 [8]

Answer:

<u>900</u> black and white copies are printed.

Step-by-step explanation:

Given:

For every 9 black and white copies printed there are 2 color copies printed.

If there are 200 color copies printed.

Now, to find the number of black and white copies are printed.

Let the number of black and white copies printed be x.

As given, for every 9 black and white copies printed there are 2 color copies printed.

So, 9 is equivalent to 2.

If there are 200 color copies printed.

Thus, x is equivalent to 200.

Now, to solve by using cross multiplication method:

\frac{9}{2} =\frac{x}{200}

<em>By cross multiplying we get:</em>

1800=2x

<em>Dividing both sides by 2 we get:</em>

900=x

x=900.

Therefore, 900 black and white copies are printed.

8 0
3 years ago
Read 2 more answers
2) Marion deposited $12,000 into her saving account for 10 years with simple annual interest rate of 5%. Cameron deposited $12,0
morpeh [17]

Answer:

Marion’s account will have $237 more at the end of 10 years

Step-by-step explanation:

Firstly, we calculate the amount that will be in Marion’s account after 10 years.

To calculate this, we use the formula for simple interest

I = PRT/100

where I is the interest accrued for the period of years

P is the amount deposited = $12,000

R is the rate = 5%

T is the time which is 10 years

Plugging these values into the equation

I = (12,000 * 5 * 10)/100 = $6,000

The amount after 10 years is thus the sum of the amount deposited and the interest accured = $12,000 + $6,000 = $18,000

Now for Cameron, we use the compound interest formula

A = P(1+r/n)^nt

Where A is the amount in the account after the number of years

P is the amount deposited = $12,000

r is the interest rate = 4% = 4/100 = 0.04

n is the number of times per year the interest is compounded. Since it is annually, n = 1

t is the time which is 10 years

We plug these values and we have;

A = 12,000(1 + 0.04/1)^(1 * 10)

A = 12,000 (1.04)^10

A = $17,763 ( to the nearest whole dollars)

Since 18,000 is greater than 17,763, the amount in Marion’s account will be greater at an amount of (18,000 - 17,763) = $237

6 0
3 years ago
1. 350 is 70% of what number?
Brums [2.3K]
1. a
2. d
3.b
4.c

msg me if u need explanations
4 0
3 years ago
Read 2 more answers
PLEASE HELP! I’ll mark you as brainliest if correct
sleet_krkn [62]

Answer:

3. b

2. c

Step-by-step explanation:

The Range (Statistics) The Range is the difference between the lowest and highest values.

The mean is the sum divided by the count.

4 0
3 years ago
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