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AnnZ [28]
3 years ago
8

7 (x + 3) - 3(4x + 9) = 14

Mathematics
2 answers:
Paul [167]3 years ago
5 0

Answer:

-4

Step-by-step explanation:

vladimir1956 [14]3 years ago
5 0

Answer:

-4

Step-by-step explanation:

Distribute the 7 and -3 inside the parentheses

7x + 3 - 12x -2 7

Combine like terms

-5x - 6 = 14

Isolate x by adding 6 to both sides

-5x = 20

Divide by -5

x = -4

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Assume that f(x)=ln(1+x) is the given function and that Pn represents the nth Taylor Polynomial centered at x=0. Find the least
WINSTONCH [101]

Answer:

the least integer for n is 2

Step-by-step explanation:

We are given;

f(x) = ln(1+x)

centered at x=0

Pn(0.2)

Error < 0.01

We will use the format;

[[Max(f^(n+1) (c))]/(n + 1)!] × 0.2^(n+1) < 0.01

So;

f(x) = ln(1+x)

First derivative: f'(x) = 1/(x + 1) < 0! = 1

2nd derivative: f"(x) = -1/(x + 1)² < 1! = 1

3rd derivative: f"'(x) = 2/(x + 1)³ < 2! = 2

4th derivative: f""(x) = -6/(x + 1)⁴ < 3! = 6

This follows that;

Max|f^(n+1) (c)| < n!

Thus, error is;

(n!/(n + 1)!) × 0.2^(n + 1) < 0.01

This gives;

(1/(n + 1)) × 0.2^(n + 1) < 0.01

Let's try n = 1

(1/(1 + 1)) × 0.2^(1 + 1) = 0.02

This is greater than 0.01 and so it will not work.

Let's try n = 2

(1/(2 + 1)) × 0.2^(2 + 1) = 0.00267

This is less than 0.01.

So,the least integer for n is 2

7 0
4 years ago
Which graph is the solution of the following systems <br><br> HELP ON ON GRADPOINT
makkiz [27]
I think it is the second one but I’m not for sure I’m really just doing this for points
6 0
3 years ago
Help, please!! 88points
strojnjashka [21]

Answer:

7.5 ab and cd

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Step-by-step explanation:

6 0
3 years ago
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ExtremeBDS [4]
Since the quotient of the two decimal numbers is 1, that tells use that they are the same number.
Since the sum of the two numbers equals 1 and both numbers are the same, then the answer must be 1 divided by 2. or .5
the fractions would be 1/2 and 1/2

5 0
3 years ago
Calculate the new area using a scale factor of 3.
Ludmilka [50]

Answer:

315

Step-by-step explanation:

Using a scale factor of 3 basically means just multiply the length and the width by 3.

So instead of 5 * 7, we are doing 15 * 21.

15 * 21 = 315

8 0
3 years ago
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