The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:

Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C. (4 points)

Part B: What are the initial value and slope of the graph, and what do they represent? (6 points)

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 .

To know more about graph the inequality here:

https://brainly.com/question/21857626

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Answer:

26

is it direct or step by step?

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:

Step-by-step explanation:

Considering triangle CNR and triangle WNO, there are:

∠C = W

CN = WN

∠CNR = ∠WNO (2 opposite angles)

deduce triangle CNR = triangle WNO

deduce RN = ON

Answer:

216 a^6

Step-by-step explanation:

(6a^2)^3

We know (xy)^z = x^z * y^z

6^3  * a^2^3

216 a^2^3

We know x^y^z = x^(y*z)

216 a^(2*3)

216 a^6

Answer:

Divide each side by -8

Distribute

Step-by-step explanation:

-8(n + 7) = -88.

Method 1

Divide each side by -8

n+7 = 11

Subtract 7 from each side

n = 4

Method 2

Distribute

-8n-56= -88

Add 56 to each side

-8n = -32

Divide by -8

n=4

Answer:

Distributive property & dividing -8 on both sides.

Step-by-step explanation:

You can begin solving the equation by either using the distributive property or dividing -8 on both sides.

Distributive Property:

[tex]-8(n+7)=-88\\-8n-56=-88\\-8n=-32\\n=4[/tex]

Dividing:

[tex]-8(n+7)=-88\\n+7=11\\n=4[/tex]

Answer:

2 1/12

Step-by-step explanation:

5/6+1/2+3/4

Get a common denominator of 12

5/6 *2/2   + 1/2 *6/6  + 3/4 *3/3

10/12 + 6/12 + 9/12

25/12

24/12 + 1/12

2 +1/12

2 1/12

[tex]\bf \Large \hookrightarrow \: \frac{5}{6} \: + \: \frac{1}{2} \: + \: \frac{3}{4} \\ [/tex]

First , we take LCM of denominators

LCM of denominators is 12

[tex]\bf \Large \hookrightarrow \: \frac{10 \: + \: 6 \: + \: 9}{12} \\ [/tex]

[tex]\bf \Large \hookrightarrow \: \: \frac{25}{12} \\ [/tex]

Answer:

-20/343

Step-by-step explanation:

Answer:

Step-by-step explanation:

-8 <= x <= -1

Answer:

14234

Step-by-step explanation:

123124

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

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:

Answer: 2nd one.

Step-by-step explanation:

Basically is more turkey for cheaper price...

The best buy is the second turkey.

1. 1 5/7

2. 1 mile per hour

3. 13. Well, 13.5 but since you can't cut half a board, it's rounded down to 13.

4. a. 3 batches of cookies

   b. 180 cookies

5. a. 1/8 of a pound of candy every day

   b. It will take him 8 days to eat 1 pound of candy

Let me know if any of these are wrong, I will correct them.

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:

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:

(2 x 2 x 2) x (0.03125)

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:

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:

Generally, the higher the temperature, the larger the population.

Step-by-step explanation:

The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

1) Decreases

2) not constant

3) non-linear

4) >

5) 8

6) 5

OAmalOHopeO

Answer:

c

Step-by-step explanation:

the perimeter of the sector

Answer:

Sorry dont know :(

Step-by-step explanation:

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!!:)