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2 years ago

Given that a x b = 70, work out the value of 3b/a

Mathematics

1 answer:

V125BC [204]2 years ago

4 0

Answer:

the value of 3b ÷ a is 3 ÷ 70

Step-by-step explanation:

The computation is shown below:

Given that

a × b = 70

So it could be write as

a = 70 ÷ b

And, the value of 3b ÷ a is

= 3b ÷ 70 ÷ b ÷ 1

= 3b ÷ 70b

= 3 ÷ 70

Hence, the value of 3b ÷ a is 3 ÷ 70

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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2036" id="TexFormula1" title="f(x)

Mars2501 [29]

Answer:

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = x^2 + 12x + 36$

And we want to determine the value of:

$\displaystyle f^{-1}(225)$

Let this value equal <em>a</em>. In other words:

$\displaystyle f^{-1}(225) = a$

Then by the definition of inverse functions:

$\displaystyle \text{If } f^{-1}(225) = a\text{, then } f(a) = 225$

Hence:

$\displaystyle f(a) =225 = (a)^2 + 12(a) + 36$

Solve for <em>a: </em>

$\displaystyle \begin{aligned} 225 &= a^2 + 12a + 36 \\ \\ a^2 + 12a -189 &= 0 \\ \\ (a + 21)(a-9) &= 0\end{aligned}$

By the Zero Product Property:

$\displaystyle a + 21 = 0 \text{ or } a - 9 = 0$

Hence:

$\displaystyle a = -21 \text{ or } a = 9$

Thus, f(9) = 225. Consequently, f⁻¹(225) = 9.

In conclusion, our answer is B.

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2 years ago

What is 2 to the 10 power

Svet_ta [14]

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