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3 years ago

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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3x3-27x=0 Solve by factoring a

Eddi Din [679]

After factoring $3x^3-27x=0$ the solutions are x=0 , x=3, x= -3

Step-by-step explanation:

We need to solve by factoring:

$3x^3-27x=0$

Solving:

$3x^3-27x=0$

Taking 3x common:

$3x(x^2-9)=0$

Now using formula $a^2-b^2=(a-b)(a+b)$

$3x((x)^2-(3)^2)=0\\3x(x-3)(x+3)=0$

$3x=0\,\,and\,\,x+3=0\,\,and\,\,x-3=0\\x=0\,\,and\,\,x=-3\,\,and\,\,x=3\\$

So, After factoring $3x^3-27x=0$ the solutions are x=0 , x=3, x= -3

Keywords: Factorization

Learn more about Factorization at:

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3 years ago

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Vika [28.1K]

Answer:
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3 years ago

Ms. Johnson buys a family-size bag of chips. She gives 20% to Jackie. Another 20% to Ronald. Ms. Johnson gives 1/4 to Mark and S

Kobotan [32]

Answer: 17.5%

Step-by-step explanation:

Percentage of chips given to Jackie = 20%

Percentage of chips given to Ronald = 20%

Percentage of chips given to Mark = 1/4 × 100 = 25%

From the above calculation, we can see that Ms Johnson has given out ((20% + 20% + 25%) = 65% worth of chips out. The percentage she'll have left will be:

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Since Susan takes half of what's left, the percent that Ms. Johnson has left to eat will be:

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3 years ago

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Sladkaya [172]

Answer:

Step-by-step explanation:

So we want to find θ. We are already given the hypotenuse and the side length opposite to θ. Therefore, we can use the trig function sine to find θ.

Recall that:

$\sin(\theta)=opp/hyp$

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

$\sin(\theta)=10.2/15$

Solve for θ. Use a calculator:

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The answer is D.

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2 years ago

A roll of wallpaper cost £7.85 richard buy 25 rolls of wallpaper estimate

joja [24]

Answer:

Step-by-step explanation:

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