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olchik [2.2K]
3 years ago
5

Find the domain and range of

title="y = \frac{2x}{1 + x^2}" alt="y = \frac{2x}{1 + x^2}" align="absmiddle" class="latex-formula">. PLEASE show all steps. Thank you.

Mathematics
1 answer:
Vinvika [58]3 years ago
8 0
Hi,

Work:

Equation;

y = \frac{2x}{1 + {x}^{2} }

Root = (0, 0)
Domain: x = R
Vertical Intercept = (0, 0)

Hope this helps.
r3t40

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Given that√7=2.65 and √70=8.37,find the value of
dolphi86 [110]

Answer:

A) 0.265

B) 0.0265

C) 0.837

D) 0.0837

E) 0.00265

F) 0.00837

Step-by-step explanation:

We are given;

√7 = 2.65 and √70 = 8.37

A) √0.07 can be rewritten as;

√(7 × 1/100)

Let's deal with the digits in the bracket.

Square root of 100 is 10. Thus;

√(7 × 1/100) = (1/10)√7 = (1/10) × 2.65 = 0.265

B) √0.0007

Rewrite to get;

√(7 × 1/10000)

Square root of 1/10000 is 1/100

Thus;

√(7 × 1/10000) = (1/100)√7 = (1/100) × 2.65 = 0.0265

C) √0.7

Like above;

√0.7 = √(70 × (1/100))

>> (1/10)√70 = (1/10) × 8.37 = 0.837

D) √0.007

Like above;

Rewrite to get;

√(70 × 1/10000)

Square root of 1/10000 is 1/100

Thus;

√(70 × 1/10000) = (1/100)√70 = (1/100) × 8.37 = 0.0837

E) √0.000007

Rewritten to;

√(7 × (1/1000000))

√(1/1000000) = 1/1000

Thus; √(7 × (1/1000000)) = 1/1000 × √7 = 1/1000 × 2.65 = 0.00265

F)√0.00007

Rewritten to;

√(70 × (1/1000000))

√(1/1000000) = 1/1000

Thus; √(70 × (1/1000000)) = 1/1000 × √70 = 1/1000 × 8.37 = 0.00837

8 0
3 years ago
Can someone help me with this question please
erastovalidia [21]

for 1st

use the formula of inlargement

A(x,y)when enlarging by scale factor k gives A'(kx,ky)

for 2nd

a=

(2a+3)-(a-5)(2a+2)+a^2

b=

3y(7y-8)

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4 years ago
1. Match the polynomial identity to the correct answer.
Katen [24]

Answer:

a: (a-b)(a+b);b: (a-b)(a^{2}+ab+b^{2});  c: (a^{2} +2ab+b^{2}); d: (a+b)(a^{2}- ab+b^{2})

Step-by-step explanation:

Given the expressions all that is required is to expand them (using the distributive property) to see which answers they match up to:

For a: (a-b)(a+b)=a^{2} +ab-ab-b^{2} =a^{2}-b^2

For b: (a-b)(a^2+ab+b^2)=a^3+a^2b+ab^2-a^2b-ab^2-b^3=a^3-b^3

For c calculate the square of a sum: (a+b)^2=a^2+ab+ab+b^2

(add like terms) c: a^2+2ab+b^2

For d: (a+b)(a^2-ab+b^2)=a^3-a^2b+ab^2+a^2b-ab^2+b^3=a^3+b^3

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3 years ago
One-fourth of a number is 3 more than one-seventh of the same number.<br> What is the number?
uysha [10]
I set it up as an equation. 1/4x = 1/7x + 3. After you solve it out, it’s 28.
4 0
3 years ago
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An 8-ounce bottle of hand lotion costs $4.72. What is the unit price?
Alik [6]
The answer:

$0.59

Explanation:

The unit rate is the price of each ounce, so you would divide 4.72 by 8 and get 0.59.
3 0
3 years ago
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