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Luba_88 [7]
3 years ago
15

Identify the sequence as arithmetic, geometric, or neither. Explain your answer.

Mathematics
1 answer:
mestny [16]3 years ago
4 0
This sequence (1.6, 0.8, 0.4, 0.2,... ) is geometric.
We have formula for any member of geometric sequence: a_{n} = a_{1}* q^{n-1} If a1=1.6 then:0.8=1.6*q, 0.4=1.6* q^{2}, 0.2=1.6* q^{3}The solution for all these equations is: q=0.5. We have: a1=1.6, q=0.5 and this is geometric sequence.
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If (3, y) lies on the graph of y = -(2^x) then y=<br> 1/8<br> -6<br> -8
vazorg [7]
<h3>Answer is   -8</h3>

Work Shown:

y = -(2^x)

y = -(2^3) ... replace x with 3

y = -(2*2*2) ... expand out 2 cubed

y = -8

8 0
3 years ago
Read 2 more answers
An equilateral triangle has a perimeter of 9x+6. What is the length o each side of the triangle?
zavuch27 [327]
If the length is X

X+X+X = 9X+6

3X=9X+6

-6X=6

X=-1

but because length can't be negative X=1
5 0
3 years ago
Read 2 more answers
The table of values represents the function g(x) and the graph shows the function f(x).
snow_tiger [21]
<h2>Hello!</h2>

The answer is:

The first and second options:

f(x) and g(x) intersect at exactly two points.

The x-intercepts of f(x) are common to g(x)

<h2>Why?</h2>

To find the correct option (or options) , we need to remember the following:

- When a function intercepts the y-axis, it means that the "x" coordinate will be equal to 0.

- When a function intercepts the x-axis, it means that the "y" coordinate will be equal to 0.

Now, to find the correct option, we also need to compare the graphed function (f(x))  to the given table (g(x)).

So, discarding each of the given options to find the correct option, we have:

- First option, f(x) and g(x)  intersect at exactly two points: True.

From the graph we can see that f(x) intercepts the x-axis at two points (-1,0) and (1,0), also, from the table we can see that g(x) intercepts the x-axis at the same two points (-1,0) and (1,0), it means that the functions intersect at exactly two points.

Hence,  we have that f(x) and g(x)  intersect at exactly two points.

- Second option, the x-intercepts of f(x) are common to g(x): True.

From the graph we can see that f(x) intercepts the x-axis at two points (-1,0) and (1,0), also, from the table we can see that g(x) intercepts the x-axis at the same two points (-1,0) and (1,0), so, both functions intercepts the x-axis at common points.

Hence,we have that the x-intercepts of f(x) are common to g(x)

- Third option, he minimum value of f(x) is less than the minimum value of g(x): False.

From the graph, we can see that the minimum value of f(x) is located at the point (0,-1), also, from the given table for g(x) we can see that there are values below the point (2,-3), meaning that the minimum value of f(x) is NOT less than the minimum value of g(x).

Hence, we have that the minimum value of f(x) is NOT less than the minimum value of g(x).

- Fourth option, f(x) and g(x) have the same y-intercept: False.

We can see that for the function f(x) the y-intercept is located at (0,-1) while from the given table, we can see the y-intercept for the function g(x) is located at (0,1)

Hence,  we have that f(x) and g(x) have differents y-intercepts.

Therefore, the correct answers are:

The first and second options:

f(x) and g(x) intersect at exactly two points.

The x-intercepts of f(x) are common to g(x)

Have a nice day!

Note: I have attached an image for better understanding.

8 0
3 years ago
What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. *Will give brainliest*
goldenfox [79]

Answer:

√134

Step-by-step explanation:

Solve for the top line first,

√(5²+3²)

= √34

then for the dotted line,

√(10²+(√34)²)

= √134

7 0
3 years ago
One package of socks cost $7. How many packages can you but with $56?
Akimi4 [234]

Step-by-step explanation:

$7 = 1 package socks

%56 = ??

$56/$7 × 1 package socks

= 8 × 1

= 8 package socks

Hope it helps!

4 0
2 years ago
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