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3 years ago

If ƒ(x ) = x 2 + 1, find ƒ(a + 1).

Mathematics

1 answer:

nirvana33 [79]3 years ago

8 0

$f(x)=x^2+1\\\\
f(a+1)=(a+1)^2+1=a^2+2a+1+1=a^2+2a+2\\\\
Solution\ is\ f(a+1)=a^2+2a+2$

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Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b

Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : $\dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b$

To find, The value of a and b

Solution,

Solving LHS of the given equation,

$\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b$

Since,

$(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2$

So,

$\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b$

$4+0=a+\sqrt 3 b$

On comparing we get :

a = 4 and b = 0

4 0

3 years ago

31.693 Rounded to the nearest Hundredth

ioda

Hi there!

»»————-　★　————-««

I believe your answer is:

31.69

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

'9' is in the hundredths place. The rounding is the digit to it's right, or '3'.
Since 3 is less than or equal to 4, we would round down.

⸻⸻⸻⸻

31.693 ≈ 31.69

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

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Step-by-step explanation:

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scoundrel [369]

Answer:

5x - 5

Step-by-step explanation:

To find the missing side, add the two sides together and subtract them from the perimeter.

side 1 + side 2

3x + 2 + 8x + 7

combine like terms

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16x + 4 - (11x + 9)

rewrite as an addition problem, so you need to change the signs inside the parentheses.

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3 years ago