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jonny [76]
3 years ago
11

Use inverse operations to solve X - 5.6 = -1.7

Mathematics
2 answers:
Vikki [24]3 years ago
7 0
X - 5.6 = -1.7

We are subtracting 5.6, and the to undo the subtraction we must do addition. So add 5.6 on both sides

x - 5.6 + 5.6 = -1.7 + 5.6

Simplify it

x = -1.7 + 5.6

This can also be rearranged to become

x = 5.6 - 1.7

Finally, do the subtraction and you get

x = 3.9
DedPeter [7]3 years ago
4 0
The inverse operation of subtraction is addition. Lets use the inverse operation to solve x. Lets do it:-

x - 5.6 = -1.7
-1.7 + 5.6 = x
-1.7 + 5.6 = 3.9 
x = 3.9

CHECK OUR WORK:-

3.9 - 5.6 = -1.7
We were RIGHT!!

So, x = 3.9.

Hope I helped ya!! 
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ΔABC ~ ΔEDF

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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:

B

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.

3 0
3 years ago
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