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lisov135 [29]
3 years ago
5

1/8(-8c+16)-1/3(6+3c)

Mathematics
2 answers:
Shkiper50 [21]3 years ago
5 0

Answer:

-2c

Step-by-step explanation:

The given expression is

\frac{1}{8}(-8c+16)-\frac{1}{3}(6+3c)

We need to find the simplified form of the given expression.

Using distributive property we get

\frac{1}{8}(-8c)+\frac{1}{8}(16)-\frac{1}{3}(6)-\frac{1}{3}(3c)

-c+2-2-c

On combining like terms we get

(-c-c)+(2-2)

-2c+0

-2c

Therefore, the simplified form of the given expression is -2c.

Misha Larkins [42]3 years ago
4 0
\frac{1}{8}(-8c+16) - \frac{1}{3}(6+3c)

This may look scary, but all you have to do is distribute, first:
(-c+2)-(2+c)

Now it's much easier (remember to distribute the negative):
-c+2-2-c = -2c

So, the entire thing simplifies to -2c. NEAT!
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13. For the arithmetic sequence: 6, 12, 18, 24,...
serg [7]

a_15 = 90

a_n = 6n

Step-by-step explanation:

Given sequence is:

6, 12, 18, 24,...

First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

d=a_2-a_1 = 12-6 = 6\\d=a_3-a_2= 18-12 = 6

The general form for arithmetic sequence is:

a_n=a_1+(n-1)d

Putting the values for a_1 and d

a_n=6+(n-1)(6)\\a_n=6+6n-6\\a_n=6n

<u>a) Find a15</u>

a_{15} = 6(15)\\=90

<u>b) Write an equation for the nth term.</u>

The equation is: a_n=6n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

4 0
3 years ago
Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3. Polygon Y’s area isn’t what fraction of Polygon X’s area?
loris [4]

Answer:

1/9th.

Step-by-step explanation:

Because the area is measured in units squared, then you have to square 1/3 which is 19th.

5 0
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Please help!?! Last grade for my 4th quarter of quarantine school!
viva [34]

Answer:3x^2-5x=-8 is the one that has 2 complex solutions

Step-by-step explanation:

8 0
3 years ago
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If P(x) = P<img src="https://tex.z-dn.net/?f=_%7Bn%7D" id="TexFormula1" title="_{n}" alt="_{n}" align="absmiddle" class="latex-f
seropon [69]

If P(x) = p_nx^n + p_{n-1}x^{n-1}+\ldots+p_0 is divided by (x-a), then P(x) = (x-a) \cdot Q(x) + R(x) for some polynomials Q,R. Moreover, \deg R < 1 (because \deg (x-a) = 1), so there exists  \alpha \in \mathbb{R} such that R(x) = \alpha for all x \in \mathbb{R}. But if we calculate P(a), it turns out that P(a) = (a-a)\cdot Q(a) + \alpha, so R(x) = \alpha = P(a). \blacksquare

3 0
3 years ago
Use Pythagorean Theorem to find the value of x
Ahat [919]

Answer:

x = 13

Step-by-step explanation:

x = \sqrt{x} a^{2} + b^{2}

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