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KATRIN_1 [288]
3 years ago
5

Lela purchased three mechanical pencils and a notebook that cost five dollars per purchase totaled $11 how much was each pencil

use P to represent the cost of each pencil
Mathematics
1 answer:
alexdok [17]3 years ago
3 0

Answer: 3p+5=11

Step-by-step explanation:

3p+5=11

-5 -5

3p=6

3p/3=6/3

P=2

$2

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11. Mr. Dawley bought 2 Hydroflask water bottles at $2.49 each
Lapatulllka [165]

Answer:

$10.23

Step-by-step explanation:

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5 0
2 years ago
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(b) For those values of k, verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution. y =
frutty [35]

Answer:

Check attachment for complete question

Step-by-step explanation:

Given that,

y=Coskt

We are looking for value of k, that satisfies 4y''=-25y

Let find y' and y''

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y'=-kSinkt

y''=-k²Coskt

Then, applying this 4y'"=-25y

4(-k²Coskt)=-25Coskt

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Divide through by Coskt and we assume Coskt is not equal to zero

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k²=25/4

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k= ± 5/2

b. Let assume we want to use this

y=ASinkt+BCoskt

Since k= ± 5/2

y=A•Sin(±5/2t)+ B •Cos(±5/2t)

y'=±5/2ACos(±5/2t)-±5/2BSin(±5/2t)

y''=-25/4ASin(±5/2t)-25/4BCos(±5/2t

Then, inserting this to our equation given to check if it a solution to y=ASinkt+BCoskt

4y''=-25y

For 4y''

4(-25/4ASin(±5/2t)-25/4BCos(±5/2t))

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Then,

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-25A•Sin(±5/2t) - 25B •Cos(±5/2t)

Then, we notice that, 4y'' is equal to -25y, then we can say that y=Coskt is a solution to y=ASinkt+BCoskt

4 0
3 years ago
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Step-by-step explanation:

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x=(-12)/3

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3 years ago
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Solve x2 - x - 5/2 = 0 using the quadratic formula.
stich3 [128]

Answer:

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