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3 years ago

Help me plzzzzzz plz

Mathematics

1 answer:

alexandr1967 [171]3 years ago

6 0

Undefined. Vertical lines are always undefined. Hope that helps!

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If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor

Brilliant_brown [7]

Answer:

Step-by-step explanation:

If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor

of 3, what is the equation of the new function?

A. g(x) = 1/3x2

B. g(x) = 3x2

C. g(x) = (3x)2

D. g(x) = (1/3x)2

6 0

3 years ago

31 x 01111111111111111111111111

dybincka [34]

3.4444444444444444444444444444

7 0

3 years ago

Read 2 more answers

A shape is made up of 8 right triangles of equal size. each right triangle has a base of 4cinches and a height of 15 inches. wha

Basile [38]

Answer:

area = 240 in²

Step-by-step explanation:

each triangle area = 1/2(4)(15) =30 in²

30 x 8 = 240 in²

4 0

3 years ago

Read 2 more answers

If S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.

Snezhnost [94]

You can try to show this by induction:

• According to the given closed form, we have $S_1=3\times2^{1-1}+2(-1)^1=3-2=1$ , which agrees with the initial value S₁ = 1.

• Assume the closed form is correct for all n up to n = k. In particular, we assume

$S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}$

and

$S_k=3\times2^{k-1}+2(-1)^k$

We want to then use this assumption to show the closed form is correct for n = k + 1, or

$S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}$

From the given recurrence, we know

$S_{k+1}=S_k+2S_{k-1}$

so that

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)$

$S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}$

$S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)$

$S_{k+1}=3\times2^k-2(-1)^k$

$S_{k+1}=3\times2^k+2(-1)(-1)^k$

$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

6 0

3 years ago

Please help me on 7&8 and please show your work :)

Llana [10]

7. 6/12 or 1/2 | 8. 5/12

5 0

3 years ago