All categories

2 years ago

How do you write the nth term rule for the sequence 1 , 3 , 5 , 7

1 answer:

5 0

basically the answer is 2n-1 2n comes from the difference to get from 1 to three and the -1 from 2n to get to 1 you need to minus 1 so you get -1

You might be interested in

Scientists measured the annual forest loss (in square kilometers) in Indonesia from 2000–2012. They found the regression line

sergeinik [125]

Answer:

The slope of this line is 1021.

Step-by-step explanation:

A regression line has the following format:

y = b + ax

In which a is the slope, that is, how much y changes with a variation of a single unit in x.

In this problem, our line is:

forest loss=7500+1021x

In which x is the number of years after 2000.

So the slope of this line is 1021.

7 0

3 years ago

For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo

slava [35]

Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

S=2(3)+5=11

Thus, when p=3 D=11 and, according to the problem when p=1 D=19.

We already know two points on the demand curve. Great!

The demand equation is linear, so it has form D=bp+c.

The variable b is the slope of the demand linear equation . It can be computed through the formula

$b=\frac{y2-y1}{x2-x1}$ . equation 1

Substituting the two points (3,11) and (1,19) on equation 1.

$b=\frac{19-11}{1-3} =\frac{8}{-2}$

b=-4

Now we can find the value of intercept of the demand equation c trough point-slope form y-y1=b(x-x1).

We can use any of the points. Let's take (3,11) and write in point-slope :

y-11=-4(x-3)

y=-4x+11+12

y=-4x+23

Rewrite the linear equation according our variables D and p

D=-4P+23

Finally we found the demand equation !

5 0

3 years ago

One hiking club charges $16 to become a member and $3 to participate on each hike. Another club charges no membership fee, but c

yawa3891 [41]

Answer:

x < 8

Step-by-step explanation:

x= # of hikes

3x +16 =5x

-3x. -3x

16=2x

16/2= 8

2x/2= x

8=x

x=8

check:

3(8) +16 =5(8)

24 +16 =40

40=40 ✓

there for at 8 hikes with either deal it would be the same but if you went up a number of hikes for the first option it would only be $43.00 spent in total. but with the second option it would be $45.00.

7 0

2 years ago

Proving parallel lines with alternate exterior angles. given: <1 = <2 prove: p || q

horrorfan [7]

Answer:

1. <1 = <2 - given

2. <1 and <3 are vertical <s - def of vertical <s

3. <1 = <3 - vertical angles theorem

4. <3 = <2 - transitive property

5. p II q - converse of corresponding angles theorem

Step-by-step explanation:

edg 2020

7 0

3 years ago

Shape A is congruent to shape blank

bija089 [108]

Answer: F 3 D 2

Step-by-step explanation:

4 0

3 years ago