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lukranit [14]
3 years ago
5

Find f(b-2) if f(x) = x^2-6x+1

Mathematics
2 answers:
Anit [1.1K]3 years ago
8 0

Answer:

b^2-10b+ 17

Step-by-step explanation:

f(b-2) = (b-2)^2-6(b-2)+ 1

= b^2 + 4 - 4b -6b + 12 +1

=b^2-10b+ 17

jasenka [17]3 years ago
4 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The equivalent expression is ~

  • f(b - 2) =  {b}^{2}  - 10b + 17

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's evaluate f(b - 2) ~

  • f(x) =  {x}^{2}  - 6x + 1

  • f(b - 2) = (b - 2) {}^{2}  -6 (b - 2) + 1

  • \mathcal{ {f(b - 2) =  {b}^{2}   +  2 {}^{2}  - (2 \times b \times 2) - 6b + 12}}

  • f(b - 2) =  {b}^{2}   + 4 - 4b - 6b + 12 + 1

  • f(b - 2) =  {b}^{2}  - 10b + 17
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An ant looks up to the top of a building at an angle of elevation of 32°. Then, the ant walks an additional 88 feet from the edg
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Tanα=h/x, tanß=h/(x+88)

solving both for x

x=h/tanα, x=h/tanß-88, since x=x

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Nutka1998 [239]
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22=\frac{18+x1}{2}
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Serga [27]

Answer:

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Step-by-step explanation:

To find the space diagonal (whatever it's called in English) you begin looking at the bottom of the box. We want to know the diagonal since the diagonal is one of the sides of the other triangle.

To do this we can start by using trigonometry. (SOH-CAH-TOA)

We need to use Sin t. (Since we wanna know the hypothenuse and we have the opposite.)

So...

Sin(40) = 24 in ÷ <em>h</em>

Then we need to actually be able to calculate this, which we will be able to do if we multiply with h on both sides.

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37,34 in^(2) + 24 in^(2) = 1970,28

And now we take the square root of 1970,28.

Which is about 44,39 in.

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