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Neporo4naja [7]
2 years ago
5

Use distributive property to solve, show all steps 3(2x-6)

Mathematics
2 answers:
Elza [17]2 years ago
8 0

Answer: 6x-18

Step-by-step explanation:

3×2x=6x

3×(-6)=-18

6x-18

zlopas [31]2 years ago
4 0

Answer:

6x-18

Step-by-step explanation:

First we multiply everything in the parentheses by 3

3×2x=6x

3×(-6)=-18

And now we put it together-

6x-18

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Three-fourths was subtracted from a number, and then 5 1/4 was added to the result. The sum was -7.
Alika [10]

Answer:

1 1/4 is the answer

Step-by-step explanation:

Hope this helps :))

6 0
3 years ago
Find a power series representation of e^x sin(x)
liberstina [14]
The Taylor series is defined by:
f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.

Derivatives can be found using product rule:
f^n (x) = e^x g^{n-1} (x) + e^x g^n (x)  \\ g^0 (x) = sin x

Do this successively to n = 6.
f^1 (x) = e^x (sinx +cos x) \\ f^2 (x) = e^x (2cos x)  \\ f^3 (x) = e^x(2cos x - 2sin x)  \\ f^4 (x) = e^x (-4 sin x)  \\ f^5 (x) = e^x(-4sinx -4cos x) \\ f^6(x) = e^x(-8cos x)

Plug in x=0 and sub into taylor series:
e^x  sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...

If more terms are needed simply continue the recursive derivative formula and add to taylor series.
6 0
3 years ago
Can someone help me please
Andre45 [30]

Answer:

Is there a choice D in this because A, B and C are all incorrect answers

Step-by-step explanation:

6 0
3 years ago
Hello everyone, I hope you had a great day, I need help on this please, thanks.
Shalnov [3]

Answer:

A

Step-by-step explanation:

A. is the only correct solution to this question because you can also see that if we take 8 and divide this by 32 we get 1/4, so we know it is true.

4 0
2 years ago
Read 2 more answers
Use a half-angle identity to find the exact value of tan 22.5°.
dusya [7]

Answer:

\sqrt{2} -1

Step-by-step explanation:

22.5 degrees is half of 45 degrees (special angle for which we know exactly the value of all three basic trigonometric functions (sine, cosine, and tangent).

So we start recalling the formula for tangent of a half angle: tan(\frac{\alpha }{2} )= \frac{1-cos(\alpha) }{sin(\alpha) }

We need just the values of:

sin(\alpha )=sin(45^o)=\frac{\sqrt{2} }{2}

and of

cos(\alpha )=cos(45^o)=\frac{\sqrt{2} }{2}

to answer the question. Then, we use those values in the original formula for tangent of a half angle:

tan(\frac{\alpha }{2} )= \frac{1-cos(\alpha) }{sin(\alpha) }\\tan(22.5^o)=\frac{1-\frac{\sqrt{2} }{2} }{\frac{\sqrt{2} }{2}} =\frac{2-\sqrt{2} }{\sqrt{2} } =\frac{2\sqrt{2}-2 }{2} =\sqrt{2} -1

3 0
3 years ago
Read 2 more answers
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