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3 years ago

8

What is the simplified form of:

1 answer:

irga5000 [103]3 years ago

7 0

Last choice is correct

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I need help on #6 please

lyudmila [28]

We know the yint, so lets find the slope. (0,-12) and (8,-2) -2--12/8-0 or 10/8 or 1.25
So, the slope is 1.25
The answer is y=1.25x-12

5 0

3 years ago

Solve the equation 3b=42

SIZIF [17.4K]

Answer:

b=14

Step-by-step explanation:

42 divided by 3 is 14

5 0

3 years ago

Read 2 more answers

Select the correct answer.

Alex787 [66]

Answer:

A) y=3/2x-12

Step-by-step explanation:

Slope intercept formula is y=mx+b

mx is the slope.

B is the y intercept

8 0

2 years ago

Read 2 more answers

The new cylinder can has radius of 5cm and a height of 9cm how many square centimeters of aluminum will it take to make this new

m_a_m_a [10]

Answer: $282.85\ cm^2$

Step-by-step explanation:

Given

Radius of cylinder $r=5\ cm$

The height of the cylinder is $h=9\ cm$

The surface area of a cylinder is $2\pi rh$

If only the outer is considered then, the area required is

$\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2$

7 0

2 years ago

Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

4 0

2 years ago