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2 years ago

Pls help................

Mathematics

2 answers:

algol132 years ago

8 0

If every 18 km is 1 cm all you have to do is 54/18=3
Answer is 3cm

Sedaia [141]2 years ago

4 0

Answer:

3 centimeters

Step-by-step explanation:

given ratio is

18 km : 1 cm

Now if km is multiplied by 3, the cm should also be multiplied by 3.

=> 18 x 3 : 1 x 3

=> 54 km : 3 cm

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If something is burning and 20 acres a minute how many acers in burning a day

g100num [7]

28,800 acres burn per day or in a day.

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2 years ago

8. What is the domain of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D%20%2B20x%2B75%7D" id="TexFormula1" title

antiseptic1488 [7]

Answer:

8. Domain: (-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

9. Domain: [7/13, ∞)

Range: [1, ∞)

Step-by-step explanation:

Question 8

Given rational function:

$f(x)=\dfrac{x}{x^2+20x+75}$

Factor the denominator of the given rational function:

$\implies x^2+20x+75$

$\implies x^2+5x+15x+75$

$\implies x(x+5)+15(x+5)$

$\implies (x+15)(x+5)$

Therefore:

$f(x)=\dfrac{x}{(x+15)(x+5)}$

Asymptote: a line that the curve gets infinitely close to, but never touches.

The function is undefined when the denominator equals zero:

$x+15=0 \implies x=-15$

$x+5=0 \implies x=-5$

Therefore, there are vertical asymptotes at x = -15 and x = -5.

Domain: set of all possible input values (x-values)

Therefore, the domain of the given rational function is:

(-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

---------------------------------------------------------------------------------

Question 9

Given function:

$f(x)=\sqrt{13x-7}+1$

Domain: set of all possible input values (x-values)

As the square root of a negative number is undefined:

$\implies 13x-7\geq 0$

$\implies 13x\geq 7$

$\implies x\geq \dfrac{7}{13}$

Therefore, the domain of the given function is:

$\left[\dfrac{7}{13},\infty\right)$

Range: set of all possible output values (y-values)

$\textsf{As }\:\sqrt{13x-7}\geq 0$

$\implies \sqrt{13x-7}+1\geq 1$

Therefore, the range of the given function is:

[1, ∞)

8 0

1 year ago

On one night in London the temperature fell to -12 on the same night in Moscow the temperature fell to -5 what was the differenc

Olegator [25]

-12 - (-5) = -12 +5 = -7

6 0

2 years ago

Algebraic expression for 5 times a number

Step2247 [10]

It could be 5x, 5 being the digit, x being "a number"

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2 years ago

What is the mechanical energy

Sergeu [11.5K]

Answer:

In physical sciences, mechanical energy is the sum of potential energy and kinetic energy. It is the macroscopic energy associated with a system. The principle of conservation of mechanical energy states that if an isolated system is subject only to conservative forces, then the mechanical energy is constant.

hope it helps ;)

6 0

2 years ago