Use the graph to determine the domain and range of the relation, and whether the relation is a function.
a. Domain: {x| -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}
Range: {y| -6, -5, -1, 1, 3, 4, 5, 7, 8, 10}
Yes, the relation is a function.
b. Domain: {x| -10 ≤ x ≤ 10}
Range: {y| -6 ≤ y ≤ 10}
Yes, the relation is a function.
c. Domain: {x| -10 ≤ x ≤ 10}
Range: {y| -6 ≤ y ≤ 10}
No, one y-value is shared by two x-values.
d. Domain: {x| -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}
Range: {y| -6, -5, -1, 1, 3, 4, 5, 7, 8, 10}
No, one y-value is shared by two x-values.

Answer:

y = -5x + 11

Step-by-step explanation:

Slope (m) =

ΔY

ΔX=

-5

1

= -5

θ =  

arctan( ΔY ) + 360°

ΔX

= 281.30993247402°

ΔX = 3 – 1 = 2

ΔY = -4 – 6 = -10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Answer:

Yes

Step-by-step explanation:

[tex]2 * 36 = 72\\ 3 * 24 = 72[/tex]

Answer:

Yes.

Step-by-step explanation:

2 times 36 = 72 and 3 times 24 = 72

Hope this helped! ^-^

The lines KL and MN perpendicular to each other.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

If a line passes through two points, then the slope of the line is

m = y2-y1/x2-x1

From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).

The slope of line KL is

m = 0

The slope of line KL is 0, it means it is a horizontal line.

From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).

The slope of line MN is

m = 1/0

The slope of line MN is 1/0 or undefined, it means it is a vertical line.

We know that vertical and horizontal lines are perpendicular to each other.

Therefore the lines KL and MN perpendicular to each other.

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Answer:

The 2nd and 3rd option

Step-by-step explanation:

They can be separated into 2 pairs and factored

Answer:

5/6 4/15 1/3

Step-by-step explanation:

the answers are above

Answer:

the repeating decimals are in 5/6 4/15 1/3

Step-by-step explanation:

to find them you would just divide them for example 5/6, you would divide the 5 by the 6

Answer$12.73

Step-by-step explanation:

$63.65/5(children) = $12.73

Answer:

$12.73

Step-by-step explanation:

$63.65/5=$12.73

Answer: The last one

Step-by-step explanation:

3 units left would be -3 and 5 units down would be +5

Answer:

b

Step-by-step explanation:

Only option b from the available options represents equivalent ratios.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not.

The function of a line that shows the equivalent ratio always goes through the origin point of a cartesian plane.

The general form of the equation that shows the equivalent ratio:

Y = MX

Where M is Slope

therefore, From the given Options only option b is representing equivalent ratios.

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Complete Question:

Answer: Pink choice: y= -6x -2

Step-by-step explanation:

In order to be parallel, the slope must be the same. You find the slope as the number or fraction connected to x. ("co-efficient" of x in math talk)

In the given equation, that is -6.  (So that knocks out the first two choices)

The other thing to look at is the y-value of the given coordinate,(-1,4)

(The y-value is the second number in the coordinate (x.y) is the pattern)

and compare it to the the last number in the equations in the choices and     Here the Yellow choice has y= -6x + 4 so this line can't pass through the coordinate given, because  +4 in this equation is where the line crosses the y-axis. ("y-intercept"  in math talk)  So yellow choice is out!

The attachment shows what the graphs of the choices look like.

The black line is the correct answer. The given coordinate (-1,4) is the labeled red spot. The blue line is the given equation. (You can see where it "intercepts the y-axis on the +3)   And the green line also has the -6 slope, but misses the point and intercepts the y-axis at 4.)    

I hope the diagram and explanation helps you understand better. It can be confusing.

Answer:

try c, i took the test as well its either that or b

Step-by-step explanation:

Answer:

I'm pretty sure the answer is D

Answer:

There were 4 adults; including Mr. Torres

Step-by-step explanation:

- Each row in the stadium had 9 seats

- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)

- The arrangement of the students and the adults who sat with them on same row is:   A  S  S  S  A  S  S  S  A

              1   2  3  4  5  6  7  8  9

since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.

So the total number of adults that were present = 3 + 1 = 4

Answer:  see below

Step-by-step explanation:

29) -5x ≥  30

    ÷ -5 ↓ ÷ -5

        x  ≤ -6

Graph:       ←--------- ·

                            -6

Interval Notation: (-∞, 6]

30) -4x <  -40

    ÷ -4 ↓ ÷ -4

        x  >   10

Graph:       o---------→

                10

Interval Notation: (10, ∞)

31) 2x - 5 ≥  -11

         +5    +5

     2x      ≥  -6

    ÷ 2       ÷ 2

        x   ≥   -3

Graph:       · ---------→

                -3

Interval Notation: [-3, ∞)

32) 8 - 3x > 20

    -8         -8

        -3x >  12

     ÷ -3  ↓ ÷ -3

          x  <  -4

Graph:       ←---------o

                            -4

Interval Notation: (-∞, -4)

33) 4x - 11 < 7x + 4

    -7x       -7x      

   -3x  - 11  <   4

          + 11   +11    

   -3x       <    15

 ÷ -3      ↓ ÷ -3

         x  >    -5

Graph:       o---------→

                  -5

Interval Notation: (-5, ∞)

Answer:

2?

Step-by-step explanation: because he can hop them one step at a time or two steps at a time

Answer:

-17

Step-by-step explanation:

[tex] - 3{(y + 2)}^{2} - 5 + 6y \\ - 3(y + 2)(y + 2) - 5 + 6y \\ ( - 3y - 6)(y + 2) - 5 + 6y \\ - 3 {y}^{2} - 6y - 6y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y + 6y - 12 - 5 \\ - 3 {y}^{2} - 6y - 17[/tex]

[tex]-3y^{2}-6y-17[/tex]

Answer:

y = 17.5

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 42 when x = 84, then

42 = 84k ( divide both sides by 84 )

0.5 = k

y = 0.5x ← equation of proportion

When x = 35, then

y = 0.5 × 35 = 17.5

Answer:

3.8146973e+12

Step-by-step explanation:

you have to do 5x5 18 times to get this answer.

Answer:

The two on the top

Answer:

5^-4= 0.0016

5^3= 125

Step-by-step explanation:

Answer:

45miles.

Step-by-step explanation:

If 8km = 5miles

hence the number of miles between the two towns = 120/8 × 5

= 15 × 5

= 45miles.

Answer:

75 mi

Step-by-step explanation:

120/8=15

15x5=75 mi

Answer:

Im gonna go with b not 100% tho

Step-by-step explanation:

Answer:B

Step-by-step explanation: I took the test.

The graph of the function h(t)=-16t^2+39 is graph (b)

The equation of the function is given as:

h(t)=-16t^2+39

The above function is a quadratic function that as a y-intercept of 39.

This is shown as follows:

h(0)=-16 * 0^2+39

Evaluate the exponent

h(0)=-16 * 0+39

Evaluate the product

h(0)=0+39

Evaluate the sum

h(0)= 39

Hence, the graph of the function h(t)=-16t^2+39 is graph (b)

Read more about quadratic functions at:

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Simply replace n with 4 and do the math.

2n - 8

Let n = 4

2(4) - 8

8 - 8 = 0

Answer: 0

Answer:

62 words/minute

Step-by-step explanation:

496 words divided by 8 minutes= 62 words in one minute

x = 2

Step-by-step explanation:

math lol

I'm truly deeply sorry if its wrong :'))

Answer:

z = 2

Step-by-step explanation:

Given

4(2z - 5) = - 4 ← distribute parenthesis on left side by 4

8z - 20 = - 4 ( add 20 to both sides )

8z = 16 ( divide both sides by 8 )

z = 2

Answer:

10+(-4)=6

Step-by-step explanation:

Answer:

-4 + 10

Step-by-step explanation:

Answer:

s(6)×t(6)

hope this helps

Answer:#7 is 20%. #8 is 67.5 people

Step-by-step explanation: For #7 you would just divine 14/70 to get .20 converted to a percentage is 20%. For #8 you would convert 37.5% to a decimal of .375 and multiply that to 180 people to get the answer of 67.5 people.