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katrin2010 [14]
3 years ago
5

Identify the restrictions on the domain of f(x) = quantity x minus 3 over quantity x plus 5. x ≠ 5 x ≠ −5 x ≠ 3 x ≠ −3

Mathematics
1 answer:
Fantom [35]3 years ago
6 0

Answer:

x ≠ - 5

Step-by-step explanation:

Given

f(x) = \frac{x-3}{x+5}

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

solve : x + 5 = 0 ⇒ x = - 5 ← excluded value

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Is 9 a possible solution for -2x + 4 ≥ -14?
konstantin123 [22]

Answer:

Yes

Step-by-step explanation:

-2(9)+4= -14  and -14 is equal to -14.

6 0
2 years ago
Write out the form of the partial fraction decomposition of the function (See Example). Do not determine the numerical values of
Vitek1552 [10]

Answer:

\frac{x^4+5}{x^3(x^2+6)} =\frac{A}{x}+\frac{B}{x^2}+\frac{D}{x^3}  +\frac{Ex+F}{x^2+6}

Step-by-step explanation:

\frac{x^4+5}{x^5+6x^3}

\frac{x^4+5}{x^3(x^2+6)} =\frac{A}{x}+\frac{B}{x^2}+\frac{D}{x^3}  +\frac{Ex+F}{x^2+6}

3 0
3 years ago
A book contains 256 pages. A school has 48 copies of this book. How many total pages are there in the books?
svp [43]

Answer:

The answer is 12,288

Step-by-step explanation:

Hope this right.But if it's not im so sorry.

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8 0
3 years ago
Read 2 more answers
Plz help, 15 points!
suter [353]

Answer:

3x + 4y = 16.

Step-by-step explanation:

First work out the slope of the given equation:

3x + 4y = 15

4y = -3x + 15

y = -3/4x + 15/4.

The required line has the same slope,  = -3/4.

Using the point-slope equation:

y - y1 = m(x - x1)

y - (-2) = -3/4(x - 8)

y + 2 = -3/4x + 6

y = -3/4x + 4

Convert to standard form:

Multiply by 4:

4y = -3x + 16

3x + 4y = 16.

3 0
3 years ago
X squared plus 10x plus 9 equals 0
snow_lady [41]
That is a quadratic equation. To find its square, think of two numbers that when multiplied, the answer would be the last term, constant 9 and if those two numbers are added, the answer would be the middle term, the constant 10 with variable x. These are positive integers 9 and 1, respectively.

(x² + 10 x + 9) = 0
= (x + 9 ) (x + 1)

Using the FOIL method to check, the square is equal to the quadratic equation.
4 0
3 years ago
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