which equation describes the nth term of the arithmetic sequence 2, -1, -4, -7

Answer:

Parallel line - y=6x+9

Perpendicular line - y=-1/6x +4

Step-by-step explanation:

Parallel lines have a slope that is equal to the origninal equation. You use the y-y1=m(x-x1) equation. In this case, your y1 is 3 and your x1 is -1. Plug these into the equation along with your slope of 6.

y-y1=m(x-x1)

y-3=6(x-(-1))

y-3=6(x+1)

y-3=6x+6 - Distribute

+3 +3 - Add 3 to both sides

y=6x+9

For perpendicular lines, the slope is the negative reciprocal of the given slope. In this case, the slope is -1/6. Your y1 is 4 and your x1 is 0.

y-y1=m(x-x1)

[tex]y - 4 = - \frac{1}{6} (x - 0)[/tex]

Distribute:

[tex]y - 4 = - \frac{1}{6} x[/tex]

+4 +4

Add 4 to both sides:

[tex]y = - \frac{1}{6} x + 4[/tex]

Answer:-210

Step-by-step explanation:6, -6, -18, so, you multiply -12 by 18, and you can find that number. -12 times 18=-216, and -216+the first number 6, equals 210

Answer:

the answer is 841000

Step-by-step explanation:

brainliest if correct... plz

Answer:

The measure of the outside angle is the sum of the two inside angles:

68+52=120

Or you could do it the long way and find the third angle inside the triangle then do 180 minus that but this is easier.

Step-by-step explanation:

Answer:

y=-1/9x+2.44

Step-by-step explanation:

m=y2-y1/x2-x1

1-2=(-1)

(-5)-4=(-9)

-1/9

y=mx+b

2=-1/9(4)+b

-1/9*4=-0.44444444444

-0.444.... rounded is -0.44

(-0.44)-(-0.44) =0

2-(-0.44 )=2.44

y=-1/9x+2.44

hope this helps

sorry if im wrong i had a lil trouble on this one :(

Answer:

-3

Step-by-step explanation:

(1 + (-2-5))^2+-3X4

(1+(-3))^2 + -12

-3^2 -12

9-12

-3

Answer:b = -0.0013a + 211

Step-by-step explanation:

Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .

As the question specifies to use a for altitude and b for boiling point, change the variables equation to

b is the boiling point.

m is the slope.

a is the altitude.

c is the y-intercept.

To find the slope, we can use the equation  except x is a and y is b.

The sets of information given are:

8500 ​ft, the liquid boils at 199.95°  (This can be info set 1)

4300 ​ft, the liquid boils at 205.41°  (This can be info set 2)

Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.

m = -0.0013

Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.

b = ma + c

199.95 = (-0.0013)(8500) + c  <= Simplify

199.95 = -11.05 + c

199.95 + 11.05 = -11.05 + 11.05 + c  <=add 11.05 on both sides to isolate c

c = 211  <= y-intercept

Put the y-intercept and slope into the equation of a line:

b = ma + c

b = -0.0013a + 211 <= This is the equation for the problem.

Answer:

31

Step-by-step explanation:

Answer:

A). minimum

Step-by-step explanation:

Answer:

A negative integer and makes stuff subtract

Step-by-step explanation:

Answer: 96

Step-by-step explanation:

12x6= 96

times 12 which is the y axis and 6 which is the x axis. which would give you the shaded figure.

Answer:

Angelo has $3 dollars left

Step-by-step explanation:

$1.05+$1.45= 2.50

$5.50-$2.50= $3

Answer:

$3

Step-by-step explanation:

$5.50 - $1.05 = $4.45

$4.45 - $1.45 = $3.00

Answer:

y = 25x + 100

Step-by-step explanation:

You're welcome!

Answer:

27.55

Step-by-step explanation:

4.75 times 5.80 is 27.55

Hope it helps!

Answer:

38 miles per hour

Step-by-step explanation:

If u divide 266 to 7 it would be going 38 per hour

Answer:

its 38

Step-by-step explanation:

it was correct for me

Answer:

the tird one

Step-by-step explanation:

the asking you like for the number who repeat I hope it help if need more explanation tell me

Answer:0.64

Step-by-step explanation:

Answer:

0.875

Step-by-step explanation:

Answer:

0.875 and 87.5%

Step-by-step explanation:

Answer: maybe c or d, but I could be wrong :/

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. f(x) = x^2 + 2

2. f(x) = 2x - 10

3. It is linear function as y- is an arithmetic sequence

4. As per the pairs we can determine the function:

5. The graph is parabola

6. Undefined as not clear what is it

a) The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

b)The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

We have given that the function

[tex]f(x) = 4.50x + 25[/tex]

A florist charges $25

Now we have given condition the cost is raised to 35$

We use we use the slope intercept form

What is the slope intercept form?

[tex]y=mx+C[/tex]

y is function f(x) C=vase cost, and m= charge per flower

Therefore we get,

[tex]y=f(x),m=4.50 and c=25[/tex]

we have given condition C=35$

So  the  line will just move up to have a y-intercept at (0,35) the equation will be,

[tex]y=4.5x+35[/tex]

Therefore,

The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

We have given that the charge per flower is lowered to 3$

So the slope

[tex]m=3[/tex]

Here the m value is being changed so your line will just flatten out a bit and the new equation will be

[tex]y=3x+25[/tex]

The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

To learn more about the slope intercept form visit:

https://brainly.com/question/1884491

Answer:

62

Step-by-step explanation:

im pretty sure this is right. sry if its not.

Answer:

62

Step-by-step explanation:

1) 10^3 = 1000

2) 1000 x .062=62

Answer: 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Step-by-step explanation:

Given: Cost per package of pels = $1.40

Cost per pad of paper = $1.20

Number of packages of pels bought = n

Number of pads of paper bought = m

So, 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Step-by-step explanation:

 Given data:

         Cars      Vans    Others

          60          21          3

The data represents the number of cars on a single day.

Find the relative frequency;

It is the number of times an event occurs.

Here the time frame is within a day;

  Relative frequency = [tex]\frac{number of cars + number of vans + others}{number of days}[/tex]  

  Relative frequency  = 60 + 21 + 3  = 84vehicles per day

ii.

Number of vans in a week;

      Number vans  in a week  = 21van per day x 7 days  = 147vans

Answer:

60 calories per serving

Step-by-step explanation:

Divide to find the unit rate of calories per serving.

120 / 2 = 60

360 / 60 = 60

Best of Luck!

Answer:

$49.12

Step-by-step explanation:

Answer:

[tex]Percent = \frac{100a}{b}\%[/tex]

Step-by-step explanation:

Given

[tex]\frac{a}{b}[/tex]

Required

Convert to fraction

To do this, we simply multiply the fraction by 100%

This gives:

[tex]Percent = \frac{a}{b} * 100\%[/tex]

[tex]Percent = \frac{a * 100}{b}\%[/tex]

[tex]Percent = \frac{100a}{b}\%[/tex]

The expression cannot be further simplified.

Take for instance the fraction is: [tex]\frac{2}{5}[/tex]

Using the same analysis, the percentage would be:

[tex]Percent = \frac{2}{5} * 100\%[/tex]

[tex]Percent = \frac{2 * 100}{5}\%[/tex]

[tex]Percent = \frac{200}{5}\%[/tex]

[tex]Percent = 40\%[/tex]

Answer:

100(a divided by b)

Step-by-step explanation:

hope this helps tell me if im wroung

Answer:

the answer is 2

Step-by-step explanation: