4. Two pairs of related (x, y) values for a function are (-3, 9) and (-1, 13).
Find the slope and y-intercept, and write the equation of the function.
equation: __
slope: __
y-intercept: __

Answer:

[tex](-9,\, 17)[/tex] is in the second quadrant of a cartesian plane.

Step-by-step explanation:

The horizontal and vertical axes divides the cartesian plane into four quadrants. The quadrants are numbered counterclockwise, starting from the top-right corner:

[tex]\begin{array}{c|c}\text{second quadrant} & \text{first quadrant} \\\cline{1-2} \text{third quadrant} & \text{fourth quadrant}\end{array}[/tex].

(The quadrants do not include the two axes. Points on either axes are not in any of the quadrant.)

A point in the form [tex](x_{0},\, y_{0})[/tex] is on the right half of the plane (to the right of the vertical axis) if [tex]x_{0} > 0[/tex]. This point is on the vertical axis through the middle of the plane if [tex]x_{0} = 0[/tex]. Otherwise, if [tex]x_{0} < 0[/tex], this point would be on the left half of the plane (to the left of the vertical axis.)

The [tex]x[/tex]-coordinate of [tex](-9,\, 17)[/tex] is [tex]x_{0} = -9[/tex].

Since the [tex]x[/tex]-coordinate of this point is below zero ([tex](-9) < 0[/tex]), this point would be on the left-hand side of the origin to the left of the vertical axis.

Likewise, a point in the form [tex](x_{0},\, y_{0})[/tex] is above the horizontal axis if [tex]y_{0} > 0[/tex], on the horizontal axis if [tex]y_{0} = 0[/tex], and below the horizontal axis if [tex]y_{0} < 0[/tex].

The [tex]y[/tex]-coordinate of the given point [tex](-9,\, 17)[/tex] in this question is [tex]y_{0} = 17[/tex].

Since the [tex]y[/tex]-coordinate of this point is greater than zero ([tex]17 > 0[/tex]), this point would be above the horizontal axis.

Thus, the point [tex](-9,\, 17)[/tex] would be in the top-left quarter of the plane. The top-left quarter of the plane corresponds to the second quadrant, since this quadrant is the second quadrant after the first quadrant in the top-right corner. Hence, [tex](-9,\, 17)\![/tex] would be in the second quadrant of the plane.

Answer:area is 12

Step-by-step explanation:

Answer:

D. Water Temperature

Step-by-step explanation:

A scientist wants to test the effect of water temperature on the success of developing frog embryos. The scientist monitors developing  embryos in different water temperatures and counts the number of embryos that mature into tadpoles.

The water temperature is the independent variable because that is what the scientist is testing / changing.

Hopefully this helps!

Brainliest please?

Using variable concepts, it is found that the independent variable is given by:

D. Water temperature​

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

In this problem, the input is the water temperature, hence option D is correct.

More can be learned about dependent and independent variables are https://brainly.com/question/1429012

9514 1404 393

Answer:

Step-by-step explanation:

1. Successive y-values have neither a common difference nor a common ratio. The table is neither linear nor exponential.

__

2. Successive y-values differ by 4. The table is linear.

__

3. Successive y-values have a ratio of 3. The table is exponential.

_____

Additional comment

For evenly-spaced x-values, the y-values will have a common difference for a linear function, and a common ratio for an exponential function.

If the table can be represented by a polynomial function, the level at which differences are constant will tell the degree of the polynomial. First differences are constant for a degree 1 (linear) function. Second differences are constant for a degree 2 (quadratic) function. This is the case in Table 1, where second differences are 2.

Answer:

2 hours and 30 minutes

Step-by-step explanation:

20/8 = 2 hours and 30 minutes

Answer:

None

Step-by-step explanation:

As per the defenition of Absolute Value, There are no negative values, therefore there are no possible answers, hence you would say "None".

Definition: Absolute Value is the distance a number is away from 0.

Therefore, Distance can never be 0.

Answer:

ydkyksykdysjgjzgjz

Step-by-step explanation:

hlxkzgkzgksykkxmhxykdkydxkhoueydozgkhmzmhxkhdyoeoyxydkydkmxhylekdhkkysykyskkkysyek sheets obvi redfin

Answer:

Given

f(x) = 3x + 2

g(x) = (x + 3) / (2x - 10)

#1

g · f(x) =

g(f(x)) =

(3x + 2 + 3)/ (2(3x + 2) - 10) =

(3x + 5) / (6x - 6)

#2

f · g(x) =

f(g(x)) =

3[(3x + 2) / (2x - 10)] + 2 =

(9x + 6) / (2x - 10) + 2 =

(9x + 6 + 4x - 20)/ (2x - 10) =

(13x - 14) / (2x - 10)

Step-by-step explanation:

102 miles

90-38.51 = 51.49 dollars left over

51.49/.5 = just over 102 miles

Answer:

V/pi^2 = h

Here is your answer my dear friend-

C. r^2 = Vpi h

Answer:

PLS GIVE BRAINLIEST

Step-by-step explanation:

[tex]50 + 7.50x[/tex]

1. make an equation where x represents hours

[tex]50 + 7.50(5)[/tex]

2. substitute 5 for x

[tex]50 + 37.5[/tex]

3. multiply 7.50 by 5

[tex]87.5[/tex]

4. add 50 and 37.5 to get 87.5

Answer:

un montón de gente

Step-by-step explanation:

Answer

Wow she can air walk

Step-by-step explanation:

Answer:

depends on how much you weigh

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Answer:

  1 ÷ 6

Step-by-step explanation:

1/6 is a division expression. It means "one divided by six."

The slash (/) can be replaced by the "divided by" symbol (÷), if you like.

  1/6 = 1 ÷ 6 . . . . means "one divided by six"

Answer:

substitute the values of a b and c on the expression and write the answer.

Answer:

((-3×4)-(4×2))^3 (-12+8)^3 (-4)^3 -54

__________ = ________ = ________= ______= -1.8

(2×3)-1 6-1 5 5

Answer:

Step-by-step explanation:

Use points:

Apply the rule:

New points are:

Answer:

Step-by-step explanation:

ZTU = 75, since RTS and ZTU are vertical angles, and RTS = 75.

TZU = 43, since TZU and QZX are vertical angles, and QZX = 43.

ZUT = 180 - ZTU - TZU = 180 - 75 - 43 = 62, since triangle ZUT is shown in the diagram, and the sum of its interior angles = 180.

YUW = 180 - 79 - 62 = 39, since TUW is a straight angle, which measures 180 degrees, and angle TUW is the sum of angle ZUY and angle ZUT and angle YUW, by the diagram.

YVU = 180 - ZUY - YUW = 180 - 68 - 39 = 73, since triangle YUV is shown in the diagram, and the sum of its interior angles = 180.

YVW = 180 - YVU = 180 - 73 = 107, since YVW and YVU are supplementary.

Answer:

4 3 4 4 4 2 3 4 5 5 3.5 5

Just divide the number by 4

Sry if the list is kinda confusing

Answer:

18

Step-by-step explanation:

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

5n+15 =6n-3

18=n

Answer:

5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because "How Tall are the students in my class?" and "How much do the students oon the team weigh,?" can vary. If you ask a question about one person, it is not a statistical question because the answer cant vary.

An answer will vary with 2 or more things.

Hope I helped.

How many hours per week do you practice sports? does not represent a statistical question because it asks for a fixed quantity, i.e., the number of hours per week someone practices sports, which does not involve variability or differences among data.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

A statistical question is a question that can be answered through data analysis and involves variability or differences among data.

It usually requires collecting data from a sample or population, organizing and summarizing the data, and drawing conclusions from the results.

How tall are the students in my class and How much do the students on the football team weigh represent statistical questions because they involve collecting data on a characteristic or variable of a population, such as height or weight.
These questions can be answered through data analysis and provide information on the variability or distribution of the characteristic in the population.

Hence, Option B does not represent a statistical question because it asks for a fixed quantity, i.e., the number of hours per week someone practices sports, which does not involve variability or differences among data.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ2

Answer:

the basic wage is 50$

the extra to get 140$ is 90$(140-50)

.............

as for 1 book he get 6$

so for ? book he get 90$

then ? =(90$*1)/6$= 15 book

that's it hope i helped.

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Answer:

  y = −3x −1

Step-by-step explanation:

The slope of the line between the two given points (-1, 2) and (1, -4) can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -2)/(1 -(-1)) = -6/2 = -3

The slope is the coefficient of x in the slope-intercept equation for a line. Only one answer choice shows a slope of -3:

  y = -3x -1

_____

Additional comment

If you plot the given points and draw a line through them, you see that the y-intercept is -1. Or, you can use this equation to find the y-intercept from one of the points.

  b = y - mx

  b = 2 -(-3)(-1) = 2 -3 = -1

Now you know m=-3 and b=-1, so you can fill in the slope-intercept form equation:

  y = mx +b

  y = -3x -1

Answer:

 y = −3x −1

Step-by-step explanation:

Problem 11

Answer: Not a function

Why not? Because it fails the vertical line test. It is possible to draw a single straight vertical line through more than one point on this blue curve.

Put another way: An input like x = 2 produces more than one output (y = 2 and y = 4 at the same time). If we wanted a function, we need any given input in the domain to produce exactly one and only one output.

=============================================================

Problem 15

Answers:

Explanation:

The domain is the set of allowed x values. The left-most point on the blue curve is when x = -4, which is the smallest item allowed in the domain. The largest value allowed is x = 2, as this occurs at the right-most point on the blue curve. Therefore, our domain here is [tex]-4 \le x \le 2[/tex]

The range is similar, but we focus on y values this time. The lowest the graph goes is y = 2, and the highest it goes is y = 6. So [tex]2 \le y \le 6[/tex] represents the range of possible y outputs.

For both the domain and range, both endpoints are included.

=============================================================

Problem 16

Answers:

Explanation:

We follow the same idea as before. This time however, we have open holes which means that we do not include the endpoints.

The domain is [tex]2 < x < 7[/tex] since the curve spans from x = 2 to x = 7, excluding both of those x values. The range is [tex]1 < y < 6[/tex] for similar reasoning.

Notice how both problems 15 and 16 are functions because they pass the vertical line test. It is not possible to draw a single vertical line through more than one point on either blue curve.

Step-by-step explanation:

to find the answer, you want to convert the fractions into decimals.

to do that, you need to divide 1 by the denominato then multiply by the numerator.

ex: 3/4

1÷4=0.25

0.25×3= 0.75

That will give you an idea where to put it in the number line.

hope it helped

Answer:

∠5 = 80

Step-by-step explanation:

∠4 =  ∠2         {Corresponding angles are equal}

∠4 = 100

∠5 + ∠4 = 180 {linear pair}

∠5 + 100 = 180

          ∠5 = 180 - 100

         ∠5 = 80