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3 years ago

Which is a reasonable first step that can be used to solve the equation 2(x + 6) = 3(x - 4) + 5?

Mathematics

1 answer:

olasank [31]3 years ago

5 0

Answer:

Distribute 2 to (x + 6) and 3 to (x - 4)

Step-by-step explanation:

2(x + 6) = 3(x - 4) + 5

The first step is to distribute on both sides

2x+12 = 3x-4 +5

We have to distribute to all terms inside the parentheses

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3 years ago

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that

Helga [31]

Answer:

$\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n$

Step-by-step explanation:

Rn(x) →0

f(x) = 10/x

a = -2

Taylor series for the function f at the number a is:

$f(x) = \sum^\infty_{n=0} \frac{f^{(n)}(a)}{n!} (x - a)^n$

$f(x) = f(a) + \frac{f'(a)}{1!}(x-a)+\frac{f"(a)}{2!} (x-a)^2 + ...$ ............ equation (1)

Now we will find the function f and all derivatives of the function f at a = -2

f(x) = 10/x f(-2) = 10/-2

f'(x) = -10/x² f'(-2) = -10/(-2)²

f"(x) = -10.2/x³ f"(-2) = -10.2/(-2)³

f"'(x) = -10.2.3/x⁴ f'"(-2) = -10.2.3/(-2)⁴

f""(x) = -10.2.3.4/x⁵ f""(-2) = -10.2.3.4/(-2)⁵

∴ The Taylor series for the function f at a = -4 means that we substitute the value of each function into equation (1)

So, we get $\sum^\infty_{n=0} - \frac{10(x+2)^n}{2^{n+1}}$ Or $\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n$

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3 years ago

Find the size of angle XYZ. Give your answer to 1 decimal place. Z 13 cm x Y 4 cm

Rzqust [24]

Answer:

solution,

 $tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9$ 

hope this helps ....

Good luck on your assignment...

7 0

3 years ago

Read 2 more answers

What is a base of 3 with an exponent of-3??

DaniilM [7]

Answer:

The answer is 1/27

Step-by-step explanation:

3^-3 can be written as 1/3^3 and 3^3 = 3x3x3= 27

Therefore, the answer is 1/27.

8 0

2 years ago

Read 2 more answers