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4 years ago

If m(x)=x+5/x-1 and n(x) = x – 3, which function has the same domain as (m.n)(x)

Mathematics

1 answer:

meriva4 years ago

8 0

Answer:

The domain of function (m.n)x is same as domain of function m(x).

Step-by-step explanation:

Domain: Any set of input values for which the function is defined and valid.

m(x)=x+5/x-1

Domain of m(x) is x>1 or x<1, x≠1, because if x=1 the function will be undefined.

n(x) = x – 3

Domain of x -3 is -∞<x<∞ i.e all real numbers

(m.n)x = (x+5/x-1)(x-3)

= (x+5)(x-3)/x-1

The Domain of (m.n)x is x<1 or x>1 or x≠1 because the function is undefined for x=1

So, the domain of function (m.n)x is same as domain of function m(x).

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The revenue from selling x hats is r(x) = 18x.

Alchen [17]

Answer:

A. p(x) = 10x - 30

Step-by-step explanation:

<u>Given:</u>

r(x) = 18x and
c(x) = 8x+ 30

<u>Find p(x) by substituting the above into the following equation:</u>

p(x) = r(x) - c(x)
p(x) = 18x - (8x + 30) = 18x - 8x - 30 = 10x - 30

Correct choice is A

7 0

2 years ago

Simplify the expression. Write the answer using scientific notation. 0.3(8.2 x 10^-3)

olchik [2.2K]

Answer:

0.3(8.2 x 10^-3) = 2.46 X 10 ^ -3

Step-by-step explanation:

We need to solve the equation 0.3(8.2 x 10^-3) and write answer in scientific notation.

Solving,

= 0.3(8.2 x 10^-3)

= 0.3 * 0.0082

= 0.00246

Writing in scientific notation

= 2.46 X 10 ^ -3

So, after solving the expression 0.3(8.2 x 10^-3) the result is 2.46 X 10 ^ -3.

8 0

3 years ago

HELPPPPPPPPP i have the most trouble with math what’s the answer??

weqwewe [10]

Answer: Third option

Step-by-step explanation:

Remember that:

$\sqrt[n]{x^n}=x$

And the Product of powers property:

$(a^m)(a^n)=a^{(m+n)}$

The expression is:

$\sqrt[4]{\frac{3}{2x}}$

To simplify this expression, you need to multiply the denominator and the numerator by $2^3x^3$ . Then:

$\frac{\sqrt[4]{3}}{\sqrt[4]{2x}}=\frac{\sqrt[4]{3(2^3x^3)}}{\sqrt[4]{2x(2^3x^3)}}$

Simplifiying, you get:

$\frac{\sqrt[4]{3(8x^3)}}{\sqrt[4]{2x(2^3x^3)}}=\frac{\sqrt[4]{24x^3}}{\sqrt[4]{2^4x^4}}=\frac{\sqrt[4]{24x^3}}{2x}$

7 0

4 years ago

What is (5y+6)-(10y+3)

melisa1 [442]

$5y + 6 - 10y - 3 \\ - 5x + 3$

6 0

4 years ago

Read 2 more answers

Jason has a rectangular garden with the length of 10 m and a width of 3 m he will double the area of the garden by adding the sa

Rama09 [41]

Answer:

2 m

Step-by-step explanation:

The length and width of a rectangular garden is 10 m and 3 m respectively.

He will double the area of the garden by adding the same number of meters to both the length and the width. Area = 2(10 × 3) = 60 m².

Let x is amount of increase in the length and width such that area will be :

(10+x)(3+x) =60

30+10x+3x+x² = 60

x²+13x-30=0

x²+15x-2x-30=0

x(x+15)-2(x+15)=0

x=2 and x = -15

Neglecting negative value, he aded 2 m toboth length and width of the garden.

5 0

3 years ago