Explain why all of the graphs in this lesson show the first quadrant but omit the other three quadrants

QUESTION POSTED AT 14/12/2019 - 05:02 PM

Answered by admin AT 14/12/2019 - 05:02 PM


It must have something to do with the main subject of the lesson,
or with all the graphs that come up in the process of the lesson.
It's hard to tell without knowing SOMETHING about the lesson.

Post your answer

Related questions

Graph y = 5x and y = log5x on a sheet of paper using the same set of axes. Use the graph to describe the domain and range of each function. Then identify the y-intercept of each function and any asymptotes of each function. Explain also.

Answer:

1) For  y=5x

A)  Domain= (-\infty,\infty) [ \left.\begin{matrix}x\end{matrix}\right|x\varepsilon \mathbb{R}]

B) Range= (-\infty,\infty) [ \left.\begin{matrix}y\end{matrix}\right|y\varepsilon \mathbb{R}]

C) y-intercept = 0

D) Asymptote= No asymptote

2) For   y=log_5x

A)  Domain=Domain=  (0,\infty) [ \left.\begin{matrix}x\end{matrix}\right|x>0]

B) Range= (-\infty,\infty) [ \left.\begin{matrix}y\end{matrix}\right|y\varepsilon \mathbb{R}]

C) y-intercept =  None

D) Vertical Asymptote:   x=0

Step-by-step explanation:

Given : y=5x and y=log_5x

Refer the graph attached.

1)  In equation (1)  y=5x

The domain is the set of all possible values in which function is defined.  

y=5x is a linear polynomial defined on all real numbers.

Domain= (-\infty,\infty) [ \left.\begin{matrix}x\end{matrix}\right|x\varepsilon \mathbb{R}]

Range is the set of all values that function takes.

It also include all real numbers.

Range= (-\infty,\infty) [ \left.\begin{matrix}y\end{matrix}\right|y\varepsilon \mathbb{R}]

→y-intercept- Value of y at the point where the line crosses the y axis.

put x=0 in equation y=5x we get, y=0

Therefore, y-intercept = 0 (We can see in the graph also)

→An asymptote is a line that a curve approaches, but never touches.

Asymptote= No asymptote

2) Now in equation (2) y=log_5x

Domain=  (0,\infty) [ \left.\begin{matrix}x\end{matrix}\right|x>0]

because log function is not defined in negative.

Range=  (-\infty,\infty) [ \left.\begin{matrix}y\end{matrix}\right|y\varepsilon \mathbb{R}]

y-intercept - None

Vertical Asymptote:   x=0

ANSWERED AT 20/01/2020 - 01:46 PM


QUESTION POSTED AT 20/01/2020 - 01:46 PM

The graph of a function never has two different points with the same x-coordinate because.. A. the graph of a function cannot be a straight line. B. each input value is mapped to a single output value. C. each input value is mapped to more than one output value. D. the graph of a function is a vertical line.

Answer:  The correct reason is (B) each input value is mapped to a single output value.

Step-by-step explanation:  The given statement is:

"The graph of a function never has two different points with the same x-coordinate."

We are to select the correct reason for the above statement.

The definition of a FUNCTION is as follows:

In simple language, a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

That is, if y = f(x) is a function of a variable 'x', then we have

x_1=x_2~~~~\Rightarrow f(x_1)=f(x_2).

(A) The first statement is "the graph of a function cannot be a straight line."

The statement is false. For example, let us consider y = x + 2. Obviously, it is a function because every value of 'x' will result in only one value of 'y'.

Also, the graph here will be a straight line as shown in the attached figure (1).

(B) The first statement is "each input value is mapped to a single output value."

The statement is true according to the definition of a function.

(C) The third statement is "each input value is mapped to more than one output value."

The statement is false by the definition of a function.

(D) The fourth statement is "the graph of a function is a vertical line."

The statement is false. For example, if we consider the vertical line x = 2. Then, we see from the attached figure (2) that the points (x, y) = (2, 1), (2, 0), (2, 3), etc. all lie on the line.

This shows that one input value leads to infinitely many values of 'y'. Hence, this vertical line cannot be the graph of a function.

Thus, (B) is the correct statement.

ANSWERED AT 20/01/2020 - 01:38 PM


QUESTION POSTED AT 20/01/2020 - 01:38 PM

Let theta be an angle in quadrant III such that cos theta=-3/5 . Find the exact values of csc theta and tan theta .

Answer:

cosec\theta=-\frac{5}{4}

tan\theta=\frac{4}{3}.

Step-by-step explanation:

Given, let \theta  be the angle in the III quadrant .

cos\theta=-\frac{3}{5}......    (given)

In III quadrant cosec\theta is negative  and tan\theta is positive .

because , cosec\theta=reciprocal of sin\theta

it means , cosec\theta=\frac{1}{sin\theta}

Therefore,  first we find value of sin\theta

 We know that

sin^2\theta=1-cos^2\theta

sin\theta=\sqrt{1-cos^2\theta}

sin\theta=\sqrt{1-(\frac{-3}{5} )^2

sin\theta=\sqrt{1-\frac{9}{25}}

sin\theta=\sqrt{\frac{16} {25}

sin\theta=\frac{-4}{5}

Because sin\theta lies in III quadrant and in III quadrant it is negative.

Now, we know that

tan\theta=\sqrt{sec^2\theta-1}

therefore,  first we find sec\theta

sec\theta=\frac{1}{cos\theta}

sec\theta=-\frac{5}{3}

tan\theta=\sqrt{(\frac{5}{3})^2-1

tan\theta=\sqrt{\frac{25} {9}-1

tan\theta=\frac{4}{3}

Because it lies in III quadrant, therefore it take positive.

Hence,cosec\theta=-\frac{5}{4} and tan\theta=\frac{4}{3}

ANSWERED AT 20/01/2020 - 01:33 PM


QUESTION POSTED AT 20/01/2020 - 01:33 PM

Which function below has the smallest slope? A Graph with a line going through -5 on the Y Axis and Postive 2 and a half on the X axis. f(x) f(x) = 2x - 3 h(x) x h(x) -1 3 1 7 3 11

For the first line:
m = (-5 - 0) / (0 - 2.5) = 2

For the second line:
From the given equation,
m = 2

For the third, using the given coordinates (-1,3) (1,7)
m = (7 - 3) / (1 - (-1)) = 2

Therefore, all the slopes of the lines are 2 and none of them have the smallest slope compared to the others.

ANSWERED AT 20/01/2020 - 01:28 PM


QUESTION POSTED AT 20/01/2020 - 01:28 PM

A community college enrolled 96,000 students in 2007, and the enrollment has increased by 7% every year since then. Graph the exponential function, y, that gives the number of students enrolled in terms of t, where t is the number of years since 2007. -The graph of the function begins at y = 96,000. -The graph of the function does not have any asymptotes. -The graph of the function shows the exponential growth. -As t increases in the exponential function, the value of y approaches zero.

The formula of the function would be:
y = 96000(1.07)^t

The graph is an exponential function with y-intercept of 9600. The curve goes upward indefinitely as the value of time increases.

Therefore, from the choices, the statements that apply to the graph are:
-The graph of the function begins at y = 96,000.
-The graph of the function shows the exponential growth.

ANSWERED AT 20/01/2020 - 01:25 PM


QUESTION POSTED AT 20/01/2020 - 01:25 PM

The graph of a certain quadratic function does not cross the x-axis. Which of the following are possible values for the discriminant?a) 18 b) 0 c) -25 d) -7

As the function is quadratic, it must be positive or equal 0. 
Therefore B and D are possible values.

ANSWERED AT 20/01/2020 - 01:22 PM


QUESTION POSTED AT 20/01/2020 - 01:22 PM

Which sequence is modeled by the graph below? coordinate plane showing the points 2, 1; 3, 2; 4, 4; and 5, 8 an = one half(2)n − 1 an = 2(2)n − 1 an = 4(−2)n − 1 an = 2(one half)n − 1

First, we inspect what type of sequence is the order of the coordinates:
a2 = 1
a3 = 2
a4 = 4

Getting the difference,
a3 - a2 = 1
a4 - a3 = 2

The differences are not equal; hence, the sequence is not arithmetic.

Getting the ratio:
a3/a2 = 2
a4/a3 = 2

The common ratio is 2. Using the general form for a geometric series:
an = a1 r^(n-1)
If n = 2
1 = a1 (2)^(2-1)
a1 = 1/2

So,
an = (1/2) (2)^(n-1)

The answer is the first option.

ANSWERED AT 20/01/2020 - 01:22 PM


QUESTION POSTED AT 20/01/2020 - 01:22 PM

Help me understand please ;-; Which shows the equation in standard form? 6y - 12 = -3x Which shows the equation in standard form? 10 - 2(x - y) = 3x + 1

Standard form for first one is
ax+by=c

6y-12=-3x
add 3x both sides
3x+6y-12=0
add 12
3x+6y=12


second one
distribute (don't forget double negative y)
10-2x+2y=3x+1
minus 3x both sides
10-5x+2y=1
minus 10 both sides
-5x+2y=-9



the equations are
3x+6y=12
-5x+2y=-9

ANSWERED AT 20/01/2020 - 01:17 PM


QUESTION POSTED AT 20/01/2020 - 01:17 PM

GEOMETRY QUESTION! Please Help 9. A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm of air. How much air does the balloon hold when the design is 10 cm wide? Explain the method you use to find the amount of air.

142cm of air I think... I divided 142 buy 2. also then added 71 and 71 and multiplied buy 2 all were same answer

ANSWERED AT 20/01/2020 - 01:14 PM


QUESTION POSTED AT 20/01/2020 - 01:14 PM

A movie rental store charges a membership fee of $10.00 plus $1.50 per movie rented. What is a possible domain that shows the cost to a member of renting movies? A. The domain is all integers. B. The domain is all even integers. C. The domain is all integers 0 or greater. D. The domain is all integers 10 or greater.

The domain is all integers 10 or greater. This is because the working equation for the statement is movie renting = 10 + 1.5 x(movie renting). With that equation there is a minimum of 10.

ANSWERED AT 20/01/2020 - 01:07 PM


QUESTION POSTED AT 20/01/2020 - 01:07 PM

The graph of a system of two linear equations has no solution. What is true about the lines? A. The lines are perpendicular. B. The lines have the same slope, but different intercepts. C. The lines have the same intercept, but different slopes. D. The lines are on top of each other.

B. The lines have the same slope, but different intercepts.

These two lines are parallel to one another, and therefore will have the same slope but different intercepts.

ANSWERED AT 20/01/2020 - 01:07 PM


QUESTION POSTED AT 20/01/2020 - 01:07 PM

#1. A research group interested in understanding the effect of listening to classical music on learning mathematics conducted a study. One hundred students were randomly assigned to one of two groups. The first group listened to classical music as they learned a new lesson. The second group learned the same lesson with no music playing. Both groups were tested on the new material to determine how much they learned. The results for the two groups were compared. What kind of study is this? A. This is an observational study because students were randomly assigned to groups. B. This is an observational study because a treatment was applied to both groups. C. This is an experiment because a treatment was applied to a group. D. This is an experiment because students were able to choose which group to join. #3. ......Angie, a student in an advanced statistics course, was given an algebra test and she scored 80%. Is this an accurate predictor of how well students in the algebra class will perform on the test? A. Yes, because Angie is representative of the population in the algebra class B. Yes, because Angie scored high on the test so it must be easy C. No, because Angie is not representative of the population in the algebra class D. No, because Angie scored too high on the test

The correct answer to the first situation would be letter C. The situation was an experiment because a treatment was applied to the group (which in this case, is the experimental group).

The correct answer to the next question would be letter C. Angie is NOT are representative of the population in the algebra class.

ANSWERED AT 20/01/2020 - 01:04 PM


QUESTION POSTED AT 20/01/2020 - 01:04 PM

Equation a y= -5x-3 equation b y=4x+5 what statement best compares the graphs of the two equations a both are nonlinear b both are linear c equation a is non linear and equation b is linear d equation a is linear and equation b is nonlinear

Given both equation, we could say that they are both linear equation. Linear equation is define as equations that is having a variable that is on its first power.

ANSWERED AT 20/01/2020 - 01:04 PM


QUESTION POSTED AT 20/01/2020 - 01:04 PM

Which combination of transformations can you use to show that one shape is congruent to another? dilations and reflections/ reflections and stretches /rotations and translations/ reflections, dilations, and translations /rotations, translations, and dilations

The correct answer to this is:
ROTATIONS AND TRANSLATIONS

Reflection and rotation can also be used but since their both grouped with dilations, they can't be used. When dilation is used, the size of the shape is changed and congruence won't be possible anymore . That's why the answer is the first option.

ANSWERED AT 20/01/2020 - 01:03 PM


QUESTION POSTED AT 20/01/2020 - 01:03 PM

Which quadrant is the number –14 – 5i located on the complex plane? I / II / III / IV

The first thing you have to take into account is the definition of the axis in the complex plane.

We have then:

The vertical axis represents the imaginary part.

The horizontal axis represents the real part.

We then have the following number:

-14 - 5i

Since the real part and the imaginary part are negative, then the number is located in the third quadrant of the complex plane.

Answer:

Quadrant III.

ANSWERED AT 20/01/2020 - 01:03 PM


QUESTION POSTED AT 20/01/2020 - 01:03 PM

Explain why the sine of x is the sample regardless of which triangle is used to find it in the figure

Bye multiplying then divideing and cross multiplying and switch the differ 
Hope I Could Help :)
Love, Jessica Green

ANSWERED AT 20/01/2020 - 01:00 PM


QUESTION POSTED AT 20/01/2020 - 01:00 PM

4. A shipping company is considering which of these two boxes to use for shipping. Each box costs the same amount of money to ship, so the one with greater volume is the more cost-effective and the better one to use. Which box is the more cost-effective for the company to use? Show all your work. PLEASE HELP GUYS #Finals

The second one because the formula for volume is length times width times height so for the first box if you do 4*3*2 you would get 12 which is the volume and for the second box if you take 2.5*2*5 you'd get 25 so the second box has the greater volume meaning it's more cost effective and it is the better box

ANSWERED AT 20/01/2020 - 12:57 PM


QUESTION POSTED AT 20/01/2020 - 12:57 PM

A home improvement store sold wind chimes for $30 each.A costumer signed up for a free membership card and recieved a 5% discount off the price.Sales tax of 5% was applied after the disscount.What was the final price of the windchime?Show your work.

5%=.05
$30 x .05 = $1.5
Take $1.5 off of the $30.
After discount, the price was $28.5.
Sales price needs to be added.
$28.5 x .05 = $1.4
$28.5 + $1.4 = $29.9
$29.9 is the final price of the  wind chime.

ANSWERED AT 20/01/2020 - 12:55 PM


QUESTION POSTED AT 20/01/2020 - 12:55 PM

4. A shipping company is considering which of these two boxes to use for shipping. Each box costs the same amount of money to ship, so the one with greater volume is the more cost-effective and the better one to use. Which box is the more cost-effective for the company to use? Show all your work. PLEASE HELP QUICK #Finals

For a box shown in the images, to see the more cost-effective option, one has to simply compare which of the two boxes has the large volume. This can be done by multiplying the length, width, and the height to find the volume. This is shown below:

Box A:

Volume = 2 * 3 * 4 = 24 ft^3

Box B:

Volume = 2 * 5 * 2.5 = 25 ft^3

Therefore, the second box is the more cost-effective of the two.

ANSWERED AT 20/01/2020 - 12:55 PM


QUESTION POSTED AT 20/01/2020 - 12:55 PM

The table shows the median home prices in Florida. What is the equation of a trend line that models a relationship between time and home prices? Use the equation to predict the median home price in 2020. Year Median Price($) 1940 $20,200 1950 $39,900 1960 $50,400 1970 $62,800 1980 $89,100 1990 $98,700 2000 $119,000

Answer:

A) Price= 1617*Year - 3.116e+006;     B) 150340$ By 2020

Step-by-step explanation:

We have a data set of 7 x, y pairs, this data set can be modelled as line, applying a linear regression calculator we found that the trend line can be modelled as Price= 1617*Year - 3.116e+006  

Attached you will find the regression results where x is the year variable and Y is the price. If we now plug year=2020 in the equation we have:

Price=1617*2020-3.116e+006 = 150340$

ANSWERED AT 20/01/2020 - 12:53 PM


QUESTION POSTED AT 20/01/2020 - 12:53 PM

What type of association does the graph show between x and y?

We say that it has a negative correlation association with each other the variables x and y. Hoped that helped! !!!

ANSWERED AT 20/01/2020 - 12:52 PM


QUESTION POSTED AT 20/01/2020 - 12:52 PM

The line on this graph represents an in-line skater's distance traveled over time. From the graph, you can tell that the skater travels at a constant speed. What is the speed? (Hint: Dividing distance by time gives the speed, which is the same as the slope of the line.) A). 10 mi/h B). 0.1 mi/h C). 25 mi/h D). 15 mi/h

The best answer to the problem given above would be letter A. The speed of the skater travels at 10 miles per hour constantly. I got this through employing the formula, y2 - y1 / x2 - x1 and computed using the points.

which is:

v = (25 miles -10 miles) / (2.5 hrs - 1 hrs)
v = 10 miles per hour

Thus, the answer is 10 miles per hour.

ANSWERED AT 20/01/2020 - 12:50 PM


QUESTION POSTED AT 20/01/2020 - 12:50 PM

Cory earns $20 for every lawn he mows and $9 for every hedge he trims. He uses the expression 20x + 9y to keep track of his earnings. Part A: Identify the coefficients and variables in the expression. (3 points) Part B: How many terms are in the expression, what are they, and how do you know? (4 points) Part C: Which term in the expression shows the total earned from trimming hedges?

Part A: 20 shows $20 which Cory earns by mowing one lawn. 9 shows $9 which he earns by trimming one hedge. x shows the number of lawns. y shows the number of hedges. Part B: There are two terms in this expression. 20x which shows the total earning of Cory by mowing lawns. 9y which shows his earning by trimming hedges. It can be judged by the description of rates explained in part A. Part C: From explanation given in Part C, we can easily see that the expression 9y is used for the total earned from trimming hedges.

ANSWERED AT 20/01/2020 - 12:45 PM


QUESTION POSTED AT 20/01/2020 - 12:45 PM

Samuel is 1/2 as old as his brother.in seven years he will be 2/3 as old as his brother will be . find their present ages. Show each step

B = 2S
B + 7 = 1.5(S+7)

-----
2S+7 = 1.5S + 10.5
0.5S = 3.5
Samuel is 7
Bro is 14

ANSWERED AT 20/01/2020 - 12:44 PM


QUESTION POSTED AT 20/01/2020 - 12:44 PM