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sergiy2304 [10]

3 years ago

13

True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false, give a counterexample to il

lustrate.

1 answer:

Artyom0805 [142]3 years ago

3 0

Answer:

No false

Step-by-step explanation:

Theres the fibonacci sequance 1,1,2,3,5,8...

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If 3a +5b =10 and 5a +3b =30 what is the average of a and b?

saw5 [17]

Hello, please consider the following.

$3a+5b + 5a + 3b = 8(a+b)=10+30=40\\\\a+b=\dfrac{40}{8}=5$

And the average is

$\dfrac{a+b}{2}\boxed{=\dfrac{5}{2}}$

Thank you.

6 0

3 years ago

Write an expression for the area of the shaded region in its simplest form. Show all of your steps.

patriot [66]

The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:

((x+10)(2x+5)) - ((x+1)(x+1))

First, FOIL both of the areas separately:

(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)

Simplify within the parentheses by adding like terms:

(2x^2 + 25x + 50) - (x^2 + 2x + 1)

Now, subtract one equation from the other:

2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49

This will be the equation for the area.

3 0

3 years ago

Solve the following linear equation for x.<br> 5x – 2 + x = 9 + 3x + 10<br> x =

Maru [420]

Answer:

x=7

Step-by-step explanation:

7 0

3 years ago

Which sequence is modeled by the graph below? Points: (2,8) (3,4) (4,2) (5,1)

asambeis [7]

Answer:

$a_n=16 \cdot (\frac{1}{2})^{n-1}$

Step-by-step explanation:

This sequence is geometric because while x is going up by 1, the y sequence has a common ratio.

That is, term/previous equals same number per consecutive y terms.

So 1/2=2/4=4/8 is the common ratio.

The first term is when x=1. We can find this y by figuring out what we can multiply to our common ratio, 1/2, to get the next term,8.

Since 8(2)=16, then the first term is 16.

In general,

$y=a_1 \cdot (r)^{x-1}$

Or if preferred:

$a_n=a_1 \cdot (r)^{n-1}$

where $a_1$ is first term and $r$ is common ratio.

Plug in information:

$a_n=16 \cdot (\frac{1}{2})^{n-1}$

7 0

3 years ago

Given a circle with a circumference of 10cm, which equation shows how the relationship between a circumference and its diameter

sweet-ann [11.9K]

Answer:

D

Step-by-step explanation:

Multiply the circumference by the diameter which is D

3 0

3 years ago