Determine whether each sequence is an arithmetic sequence. If yes, then state the common difference.
-6, -5, -3, -1,...

Answer:

I belive the slope will equate to 3/1 x

Step-by-step explanation:

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

-y > -5x - 3

y < 5x + 3

2. Plot a few points for the "y =" line

I chose

\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}

x

−2

−1

0

1

2

y

−7

−2

3

8

13

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

The graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

According to the question

linear inequality in the coordinate plane.

[tex]5x-y > -3[/tex]

which can be written as

-y > -3 -5x  

y < 3 + 5x ( standard way to express inequality )

Now , to get the points for  graph the inequality

We will treat inequality as equation

y = 3 + 5x

x                 y

0                 3

1                  8      

-1                 -2

-0.6             0

Now,

As per rule of graph the inequality

The boundary line is dashed for > and <  

and  If the symbol ≤ or < is used shade below the line.  

Therefore , graph the inequality is plotted accordingly .

Hence, the graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

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Answer:

803.78

Step-by-step explanation:

983.45-214.67=768.78

768.78-15=753.78

753.78+50=803.78

answer is 803.78

Answer:

$803.78

Step-by-step explanation:

You would subtract the car loan(214.67) from 983.45. then subtract another 15 since he is giving it away. You then add the $50 because you deposited it meaning you are getting money back into your acount.

Answer:

17.5

Step-by-step explanation:

Half 37

Put into decimal

Answer:

Step-by-step explanation:

If 1/2 of the members who are present voted means, then the remaining half (1/2) didn't vote in favor of the new park.

Fraction of the members do not vote in favor of the new park = (1/2) of (37/50)

[tex]=\frac{37}{50}*\frac{1}{2}\\\\=\frac{37}{100}\\[/tex]

Answer:

1/2 pound for each dog.

Step-by-step explanation:

Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?

You want the units to be pounds per dog or pounds/ number of dogs.

The numerator is 6.5

The denominator is dogs (13)

Food per dog = 6.5 / 13 = 1/2

Answer:

26

is it direct or step by step?

Answer:

Slope is -3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify

y = -3x

↓ Compare to y = mx + b

Slope m = -3

y-intercept b = 0

Step-by-step explanation:

f(g(x))= f(2x)

f(g(x))=3+cos2x

g(f(x))=g(3+cosx)

g(f(x))=2(3+cosx)

g(f(x))=6+2cosx

where,

f(g(x))=g(f(x))

3+cos2x=6+2cosx

2cosx-cos2x+6-3=0

2cosx-cos2x+3=0

x=2pi n1+pi

n1€ z

Answer:

 -4 -6 2 -2x 3-4x 2x-3

Step-by-step explanation:

3 - 7= -4 (7 is larger so we get - sign)

-4-2=-6(we add "-" terms but they have the - sign)

-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)

x-3x=-2x(3x is larger)

3-4x=3-4x(Unlike Terms)

-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)

Answer:

4 apples/ second

28800 apples in 2 hours

Step-by-step explanation:

20 apples / 5 seconds

Divide the top and bottom by 5

4 apples/ second

A few hours is 2 or 3

There are 3600 seconds in 1 hour

4 apples/ second * 3600 seconds / 1 hour = 14400 apples / hour

14400 apples/ hour

14400apples / hour * 2 hours

28800 apples in 2 hours

Answer:

4 apples per second; about 14400-43200 apples

Step-by-step explanation:

First, to find the unit rate, you need to divide the number of apples with the number of seconds...

20/5= 4 apples per second

Then, to find the number of apples being packed after a few hours, you multiply the unit rate of apples by the total amount of seconds...

(4)(3600) = 14400 apples

(4)(10800) = 43200 apples

And so on and so forth depending on the number of hours they need (remember to convert the hours into seconds and multiply by 4)

Answer:

Slope m = -5

y intercept = 4

so the equation of the line is,

y = -5x+4

Plot two points, (0,4) and (1,-1)

then connect them, I've attached a graph, your graph should look like that

Answered by GAUTHMATH

Answer:

y=-5x+4

Step-by-step explanation:

y=mx+b

the slope is m

the y intercept is b

-5/1= one right and down 5

4 is the starting point on the y-axis (the vertical one)

Answer:

the 3rd one

Step-by-step explanation:

20+17=37

-1/2+(-5/2)= -3

so 37 + ( -3 ) = -3 + 37 have the same value which is 34

Answer:

The answer is A

Step-by-step explanation:

(I'm not 100% sure though, hope this helps.)

Answer: 12

Step-by-step explanation:

Find the difference between the first and second points.

Since the x-coordinates are the ones changing, find the difference between them.

2 - (-3)

= 5

Then find the distance between the second and the third points.

Here, the y coordinates are the only ones changing, so we subtract them/or find the distance between them.

2-(-5)

=7

Now add the distances (5+7) and you get 12.

hope this helps!!:)

Answer:

45

Step-by-step explanation:

80%= 4/5

36 = 4/5 * ?

Take 4/5 on the other side and flip it

36 * 5/4 = ?

45=?

Answer:

(3² - 3) + (0x 2)

Step-by-step explanation

Answer:

ans is 4 I am dam sure please like me ,

Answer:

I think 4 is the answer

have a great day

God bless you

Always be happy

Never be sad

Sad is bad you

Know that

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Mrslenbox

The unit rate of change of d with respect to t is 8/3

The statement is given as:

increase of 3 units in t corresponds to an increase of 8 units in d.

This can be represented using the following ratio

t : d = 3 : 8

Express as fraction

t/d = 3/8

See attachment for the graph of t/d = 3/8

In (a), we have:

t/d = 3/8

Inverse both sides

d/t = 8/3

This means that:

Slope or Rate = 8/3

Hence, the unit rate of change of d with respect to t is 8/3

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Answer:

-2

Step-by-step explanation:

In the picture

Answer:

x = -2

Step-by-step explanation:

1/3(3x - 6) = 2x

3x - 6 / 3 = 2x

9x - 6 = 6x

3x = -6

x = -2

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

10.

a. y=30x + 50

b. 30(2.5)+50= 125

c. y= 60x+100

d. 60(2.5)+100= 250

Answer:

10)

a) y = 50+30x

b) y=50+30(2.5)

       50+75 = 125

c) y = 2(50+30x)

d) y=2(50+30(2.5))

       2(50+75)

       2(125) = 250

13)

a) P = 2 ( L + W )

        10x+2

b) A = W L

        5x+1

c) for A its 15x+3 and for B its 54 x 2 + 18 x

Answer:

-20/343

Step-by-step explanation:

Answer:

12 ounces

Step-by-step explanation:

[tex]3 \div 4 \\ = 0.75 [/tex]

[tex]0.75 \times 16 \\ = 12[/tex]

Answer:

12 ounces

Step-by-step explanation:

Answer:

(2 x 2 x 2) x (0.03125)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A is a geometric sequence with common ratio - 1.

Answer:

7 is the coefficient

A coefficient is a number before a variable.

For example, in 7j, 7 is the coefficient:)

Step-by-step explanation: