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Marina CMI [18]
3 years ago
9

Is this table a function? Yes No

Mathematics
1 answer:
leonid [27]3 years ago
5 0

Answer:

yes

Step-by-step explanation:

each input value is paired with only one output value.

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Find dyldx.<br> 3. y=2x sin(3x)
vredina [299]

Answer:

\large\boxed{\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)}

Step-by-step explanation:

\dfrac{dy}{dx}=(2x\sin(3x))'\\\\\text{use}\ \bigg(g(x)\cdot f(x)\bigg)'=g'(c)f(x)+g(x)f'(x)\\\\\text{and}\ \bigg(f(g(x))\bigg)'=f'(g(x))\cdot g'(x)\\\\\dfrac{dy}{dx}=(2x)'(\sin(3x))+(2x)(\sin(3x))'\\\\\dfrac{dy}{dx}=2\sin(3x)+(2x)(\cos(3x)\cdot(3x)')\\\\\dfrac{dy}{dx}=2\sin(3x)+2x\cos(3x)\cdot3\\\\\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)

6 0
3 years ago
2w(w2 + 3w - 5) + 3w3 + 2(w2 + 1)
marysya [2.9K]

Answer:

=5w3+8w2−10w+2

Step-by-step explanation:

Simplify

1

Distribute

2

(

2

+

3

−

5

)

+

3

3

+

2

(

2

+

1

)

2

3

+

6

2

−

1

0

+

3

3

+

2

(

2

+

1

)

2

Distribute

2

3

+

6

2

−

1

0

+

3

3

+

2

(

2

+

1

)

2

3

+

6

2

−

1

0

+

3

3

+

2

2

+

2

3

Combine like terms

2

3

+

6

2

−

1

0

+

3

3

+

2

2

+

2

5

3

+

6

2

−

1

0

+

2

2

+

2

4

Combine like terms

5

3

+

6

2

−

1

0

+

2

2

+

2

5

3

+

8

2

−

1

0

+

2

sorry if it don't make sense ;c

7 0
3 years ago
Math be hard- Can ya help?
horrorfan [7]

Answer:

1/8

Step-by-step explanation:

The slope equation for this problem is

y2-y1

--------

x2-x1

So the y2=4, y1=3, x2=8, and x1=0

4-3      =1

-----       --

8-0     =8

Which is 1/8

7 0
2 years ago
Read 2 more answers
Please help me answer this question ​
bulgar [2K]

Answer:

the answer is c, f(x)=3^x+3

Step-by-step explanation:

i hope this helped

5 0
3 years ago
Matt invests $1,669 in a saving account with a fixed annual interest rate of 2% compounded 12 times per year. How long will it t
vesna_86 [32]

Answer:

It will take 4.84 years

Step-by-step explanation:

The initial amount that Matt invested was $1669. It means that principal is

P = 1669

It was compounded 12 times per year. So

n = 12

The rate at which the principal was compounded is 2%. So

r = 2/100 = 0.02

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 1,844.38

Therefore

1,844.38 = 1669(1+0.02/12)^(12×t)

1,844.38/1669 = (1.0017)^(12t)

1.1051 = (1.0017)^(12t)

Taking log to base 10 of both sides, it becomes

Log 1.1051 = log 1.0017^(12t)

Log 1.1051 = 12tlog 1.0017

0.043 = 0.00074 × 12t

0.043 = 0.00888t

t = 0.043/0.00888

t = 4.84 years

6 0
3 years ago
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