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3 years ago

|-25.6|+|-11.4| What is the answer to this

1 answer:

3 0

37. The absolute value symbol turns any negative number positive if it's within those brackets, so that's why the answer is positive. Hope this helped!

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Pls hurry I’m being timed

nevsk [136]

Answer:

Step-by-step explanation:

I hope this helps and have a nice day

5 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 <em>S</em>₁ = 1.

• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. 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 <em>n</em> = <em>k</em> + 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

What is the solution to the equation 6t=144

Grace [21]

Isolate the variable by dividing both sides by 6:
t=144/6=24

The solution is t=24

Good luck!

8 0

3 years ago

Read 2 more answers

Solve 3x + 23 + x = 7. x = −4 x = 4 x = −0.25 x = 0.25

Maksim231197 [3]

<h2>______________________________</h2><h2>Solve for x | Solution and Explanation </h2>

______________________________________________

Hello! So...

We are given the following:

Solve for x.

$3x+23+x=7$

====================

1. Group the like terms.

$3x+x+23=7$

====================

2. Add similar elements ( $3x+x=4x$ ).

$4x+23=7$

====================

3. Subtract 23 from both sides.

$4x + 23 - 23 = 7 - 23$

====================

4. Simplify.

$4x=-16$

====================

5. Divide both sides by 4.

$\frac{4x}{4} =\frac{-16}{4}$

====================

6. Simplify.

$x=-4$ (aka. Option A)

====================

Hope this helps!

3 0

1 year ago

The points in the table lie on a line. find the slope of the line.

MatroZZZ [7]

Answer:

-7/6

Step-by-step explanation:

The slope formula can be used with any pair of points.

m = (y2 -y1)/(x2 -x1)

m = (1 -8)/(-2 -(-8)) = -7/6

The slope of the line is -7/6.

5 0

3 years ago