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3 years ago

Can you divide out common factors

1 answer:

5 0

Well you just divide fractions, invert the divisor and or second fraction and multiply. Then simplify by canselling out the common factors..... multiply and simplify.
Hope this helps~

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Help me solve it and please go fast

MariettaO [177]

Answer:

x/3 -3= 18 (add three to both sides)

x/3= 21

x/3(*3) =21(*3) (multiply by 3 on each side to cancel out the division)

x= 63

63/3-3=18

21-3=18

18= 18 (checking answers)

Step-by-step explanation:

5 0

3 years ago

Simplify

Goryan [66]

Answer:

310

Step-by-step explanation:

Use the Order of Operations method. (P.E.M.D.A.S.)

Our expression: 3+2⋅4+62⋅5−1

Multiply 62 and 5, and 2 and 4:

3+8+310-1

Add and Subtract from left to right:

11+310-1

311-1

310

6 0

2 years ago

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

2 years ago

14 yd

son4ous [18]

Answer:

The volume is 196 cubic yards

Step-by-step explanation:

Given

$Base\ Area = 7yd * 2yd$

$Height = 14yd$

Required

The volume

The volume is given as:

$Volume = Base\ Area * Height$

Where:

$Base\ Area = 7yd * 2yd$

$Height = 14yd$

So, the equation becomes

$Volume = 7yd * 2yd * 14yd$

$Volume = 196yd^3$

6 0

2 years ago

Help i’ll give extra points

Inessa05 [86]

The slope is 1/1
You can use rise over run

3 0

2 years ago

Read 2 more answers