Answers
By definition, a one-to-one function is a function that maps distinct elements of its domain to distinct elements of its codomain.
Graph 1
From this graph, we see that for distinct elements of x, we have the same value of y. For example:So this function is NO a one-to-one function.
• f(2) = f(-2) = 4.
T
Graph 2
From this graph, we see that for distinct elements of x, we have the same value of y. For example:is function is NO a one-to-one function
• f(2) = f(4) = 4.
Th.
Graph 3
From this graph, we see that for distinct elements of x, we have different values of y.This function is a one-to-one function.
Graph 4
From this graph, we see that for distinct elements of x, we have different values of y.This function is a one-to-one function.
Graph 5
From this graph, we see that for distinct elements of x, we have different values of y.This function is a one-to-one function.
Graph 6
From this graph, we see that for distinct elements of x, we have the same value of y.This function is NO a one-to-one function.
Answer• Graph 1: No
,• Graph 2: No
,• Graph 3: Yes
,• Graph 4: Yes
,• Graph 5: Yes
,• Graph 6: No
Related Questions
Write an algebraic expression for two less than the quotient of 15 and a number
Answers
The algebraic expression for two less than the quotient of 15 and a number is 15x - 2.
What is algebraic expression ?
At least one variable and one operation must be present in an algebraic expression (addition, subtraction, multiplication, division). One such algebraic expression is 2(x + 8y).
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can anyone help pleasee
Answers
Answer:
a) x³
b)y⁵
Step-by-step explanation:
In this project, you are asked to use data from a Survey that Sr. Barbara conducted in her MT 120 classes to determine whether the students in the class were randomly guessing the identities of the two men in the photos. This part of the project will be a lot like several of the explorations of Chapter 1, where you are using a statistic (, and using an applet to calculate a p-value. Does the p-value support the idea that the students were guessing, or does the p-value suggest that students were doing something other than guessing?
If the students were doing something other than guessing, use the statistic ( from the data to estimate a reasonable value for the parameter (π). This part of investigation goes beyond what have been learned already in this class, and challenges to experiment a bit to find a better estimate for the true population parameter for this scenario.
Background: A study in Psychonomic Bulletin and Review (Lea, Thomas, Lamkin, and Bell, 2007) presented evidence that "people use facial prototypes when they encounter different names." Participants in that study were given photos of two faces and asked to identify which face is "Tim" and which is "Bob." Sr. Barbara is replicating this study with students in her MT 120 Applied Statistics classes. On September 26 - 27, she asked students in all three sections of MT 120 to identify from two photos, which face belongs to "Bob" and which to "Tim." Were her students simply guessing, or were they doing something other than guessing?
On September 26 and 27, Sr. Barbara gave her students an opportunity to participate in a quick survey about Tim and Bob. She asked the students to quickly identify whether the face on the left belongs to a man named Tim or to a man named Bob. Forty-two students completed this survey. The results of this survey is that 9 students said that Bob was on the left while 33 students said Tim was on the left.
1. Data Collection Methods:
To replicate the study that appeared in Psychonomic Bulletin and Review, Sister Barbara did not ask "all people" to identify the men in the photos, but rather just a sample from a larger population. You may recall that she asked you to look at photos of two men, and to identify whether the face on the left was Bob or Tim.
· How, where, and when was this data collected? Who did Sister Barbara survey?
· Who or what are the observational units, and what is the variable for each observational unit? What is the statistic?
· What does this sample (students in Sr. Barbara's MT 120 classes) suggest to us about the larger population? Did Sister Barbara take a simple random sample to collect this data? Do you think it is reasonable for her to assume that this sample is representative of some larger population?
· What is the population to which it would be reasonable to extend these results? Does it seem reasonable to extend the results of this study to all undergraduate students at Cardinal Stritch University? To the population of all students (both grads and undergrads) at Stritch? To people beyond Stritch? All people in the United States? Beyond the United States? Why?
2. Summary and Conclusions:
White a paragraph summarizing this study.
· What did you learn about students in Sr. Barbara's classes, Stritch students, or people in general? Do these results surprise you? Why?
· If the p-value suggests that Sr. Barbara's students were doing something other than simply guessing, suggest a better value for the parameter (or an interval of plausible values for the parameter). Explain how you determined a plausible value (or interval of plausible values) for the parameter. This question asks you to go beyond what you've learned (so far) in this course. Use critical thinking to identify a reasonable value (or interval of possible values) for the parameter. Explain how your are doing this.
· What do you think is going on here? Do you think the students were guessing, or is something else going on?
Answers
Answer: So the subject’s answer is Chapter 5.
Step-by-step explanation: Because there is no evidence that Armenians are smart, and in Chapter 5 people are more frustrated than kind.
THE RAFFLE QUEEN
1000 raffle tickets are sold for $3.00 each.
There is one grand prize for $750 and two
consolation prizes of $200 each. What is the
expected value of one ticket?
ST
co
W
Answers
Answer:
$1.15
Step-by-step explanation:
750 + 400 = 1,150
1/1000 * 1,150 = 1,150/1000 = $1.15 expected value of one ticket.
Since he paid more than $1.15 for the ticket he has a bad bet.
Cara deposited $200 dollars into her savings account bringing her balance up to $450.Which equation can be used to find, x, the savings account balance before the $200 deposit?
Answers
Let x be her saving accounts balance before the $200 deposit
So;
x + 200 = 450
or
x = 450 -200
A salesperson earns a commission of $624 for selling $3900 in merchandise. find commission rate
Answers
Answer:
16%
Step-by-step explanation:
A salesperson earns a commission of $624 for selling $3900 in merchandise. Find the rate of commission:
624 is ?% of 3,900
624/3,900 = 16% of 3,900
check answer:
3,900 * 0.16 = 624
find the coordinates of the midpoint of ab for a(2 5) and b(6 9)
Answers
The coordinates of the midpoint of a,b is given as;
[tex]\lbrack\frac{1}{2}(a_1+a_2),\text{ }\frac{1}{2}(_{}b_1+b_2)\rbrack[/tex]Let Q(x, y) be the statement "student x has become a contestant on quiz event y". Express each of the following sentences in terms of Q(x, y), quantifier, and logical connection, where the domain for x consists of all students in your major and for y consists of all quiz shows on television.
a) There is a student in your major who has become a contestant on a television quiz show.
b) No student in your major has ever been a contestant on a television quiz show.
c) There are students in your department who have been contestants for Family 100 and Super Deal Indonesia.
d) Every television quiz show has a student of your major as a contestant.
e) At least two students from your major have become contestants in Family 100
Answers
The statement is (a) [tex]E_{xy}[/tex] Q(x, y); (b) -Q(x, y); (c) [tex]E_{x}[/tex] (Q(x, jeopardy) ∩ Q(x, Wheel of fortune)); (d) ∀[tex]_{y}[/tex][tex]E_{x}[/tex]Q(x, y); (e) [tex]E_{x}E_{y}[/tex](x ≠ y) (Q(x, jeopardy) ∩ Q(y, jeopardy)).
what is probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Given that,
Q(x, y) be the statement "student x has become a contestant on quiz event y",
where the domain for x consists of all students in your major and for y consists of all quiz shows on television.
a) [tex]E_{xy}[/tex] Q(x, y)
b) -Q(x, y)
c) [tex]E_{x}[/tex] (Q(x, jeopardy) ∩ Q(x, Wheel of fortune))
d) ∀[tex]_{y}[/tex][tex]E_{x}[/tex]Q(x, y)
e) [tex]E_{x}E_{y}[/tex](x ≠ y)(Q(x, jeopardy) ∩ Q(y, jeopardy)).
Therefore, the statements are above.
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Kaitlin baked 56 cookies. Her family ate d of them. Using d, write an expression for the number of cookies that remained.
Answers
write a quadratic function in standard form containing the point (5,-6) and x-intercepts -7 and 3
Answers
The quadratic equation in standard form that contains the points (5, - 6), (- 7, 0) and (3, 0) is y = - (1 / 4) · x² - x + 21 / 4.
How to determine a quadratic function in standard form from a point and two x-interceptsHerein we find the equation of a parabola that contains a points and its x-intercepts (two real roots). According to fundamental theorem of algebra, we can derive a quadratic function with real coefficients if we know three points of the parabola. The procedure is shown below.
First, use the quadratic function in product form and substitute on all known variables to determine the lead coefficient:
y = a · (x + 7) · (x - 3)
- 6 = a · (5 + 7) · (5 - 3)
- 6 = a · 12 · 2
- 6 = 24 · a
a = - 6 / 24
a = - 1 / 4
Second, expand the quadratic function into its standard form:
y = - (1 / 4) · (x + 7) · (x - 3)
y = - (1 / 4) · (x² + 4 · x - 21)
y = - (1 / 4) · x² - x + 21 / 4
The quadratic equation in standard form is y = - (1 / 4) · x² - x + 21 / 4.
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Please help me with this, I am not sure what to do.
Answers
Since [tex]x[/tex] is approaching 1 from the left/below, we take the part of [tex]f(x)[/tex] that is defined over [tex]x<1[/tex], for which we have
[tex]f(x) = \dfrac{x-1}{\sqrt{x-1}}[/tex]
Since [tex]x\neq1[/tex], we can simplify this to
[tex]f(x) = \dfrac{x-1}{(x-1)^{1/2}} = (x-1)^{1/2} = \sqrt{x-1}[/tex]
and this is continuous at [tex]x=1[/tex], so we can evaluate the limit by directly substituting [tex]x[/tex].
To summarize:
[tex]\displaystyle \lim_{x\to1^-} f(x) = \lim_{x\to1} \frac{x-1}{\sqrt{x-1}} = \lim_{x\to1} \sqrt{x-1} = \sqrt{1-1} = \boxed{0}[/tex]
The perimeter of a rectangle is to be no greater than 70 centimeters
and the width must be 5 centimeters. Find the maximum length of the
rectangle.
Answers
Answer:
Maximum length = 30 cm
Step-by-step explanation:
Perimeter of a rectangle = 2 × (length + width)
According to the question,
2 × (length + width) < 71 cm (It can be 70 cm at maximum)
length + width < 71/2 cm
length + width < 36 cm
Since, width = 5 cm,
length + 5 cm < 36 cm
length < 36 - 5 cm
length < 31 cm
Therefore, the maximum length can be 30 cm
Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate?
Answers
When Seema used compatible numbers to estimate the product of (–25.31)(9.61), her estimate is A. -250.
How to illustrate the information?From the information, it should be noted that Seema used compatible numbers to estimate the product of (–25.31)(9.61).
It should be noted that -25.31 when rounded will be -25.
It should be noted that 9.61 when rounded will be 10.
Therefore, the multiplication will be:
= -25 × 10
= -250.
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Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate?
-250
-240
240
250
Vertical angles are two angles which are congruent. Below is an example of vertical
angles. Write an equation and solve for x.
(9y+7)°
Answers
go on play store and download symbolab it can help you
About 13,800 adult Pacific newts made their annual migration between November 2020 and March 2021. Roughly 2/5 didn't survive the trip. About how many newts survived crossing the road?
Answers
If 13800 adult Pacific newts made their annual migration between November 2020 and March 2021, Roughly 2/5 didn't survive the trip, then the number of newts survived crossing the road is 8280 newts
The number of adult Pacific newts made their annual migration = 13800
Roughly 2/5 didn't survive the trip
Then the number of newts didn't survive = 13800×(2/5)
= 13800×0.4
= 5520 newts
To find the number of newts survived, we have to use subtraction
The number of newts survived crossing the road = 13800-5520
= 8280 newts
Hence, If 13800 adult Pacific newts made their annual migration between November 2020 and March 2021, Roughly 2/5 didn't survive the trip, then the number of newts survived crossing the road is 8280 newts
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Part a and part B help please its all one question that goes together incase the pic is confusing
Answers
The winning average of the Varsity football team is a non-terminating decimal.
The winning average of the Junior Varsity football team is a terminating decimal.
Which team had a better season? Varsity team
How is the winning average calculated?
a ) Part A
1. Team Varsity
Number of total matches won = 8
Number of total matches lost = 3
Total number of matches = 11
The winning average [tex]=\frac{\text{total number of matches won}}{\text{total matches}}[/tex]
=[tex]\frac{8}{11} \\\\[/tex]
= 0.72727
0.72727 is a non-terminating decimal
2. Team Junior Varsity
Number of total matches won = 7
Number of total matches lost = 3
Total number of matches = 10
The winning average [tex]=\frac{\text{total number of matches won}}{\text{total matches}}[/tex]
=[tex]\frac{7}{10} \\\\[/tex]
= 0.7
0.7 is a terminating decimal.
The winning average of the Varsity football team is a non-terminating decimal.
The winning average of the Junior Varsity football team is a terminating decimal.
b) Part B
Which team had a better season? Varsity team
Varsity team had a better season because the winning average of team Varsity is higher than Junior Varsity.To learn more about non - terminating decimals, refer:
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Reflection across y=3
Answers
In the picture, There is graph with a triangle SNZ. The reflected triangle of y=3 as (1,2),(5,3) and (5,5).
Given that,
In the picture, There is graph with a triangle.
The triangle is SNZ.
We have to find the reflection across y=3.
We have to draw a line on y=3.
On the line y=3,
Z point is there so it will be same that is (5,3).
Now, the point S is on (5,1)
Here, y is 1 that is 3+2=5
So, we take the reflected S point as (5,5)
Now, the point N is on (1,4)
Here, y is 4 that is 3-1=2
So, we take the reflected N point as (1,2).
Therefore, we get the reflected triangle of y=3 as (1,2),(5,3) and (5,5).
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Please help me on my hw
Answers
We can find the x and y-intercept by substituting zero for x and y respectively.Part A
iven the eequation below;
[tex]y=x+7[/tex]When x=0
[tex]\begin{gathered} y=0+7 \\ y=7 \end{gathered}[/tex]when y=0
[tex]\begin{gathered} 0=x+7 \\ x=-7 \end{gathered}[/tex]Answer 1
[tex]\begin{gathered} x-\text{intercept}=(-7,0) \\ y-\text{intercept}=(0,7) \end{gathered}[/tex]Part B
[tex]y=x^2-3[/tex]When x=0
[tex]\begin{gathered} y=0^2-3 \\ y=-3 \end{gathered}[/tex]When y=0
[tex]\begin{gathered} 0=x^2-3 \\ x^2=3 \\ x=\pm\sqrt[]{3} \\ x=-\sqrt[]{3}\text{ or x=}\sqrt[]{3} \end{gathered}[/tex]Answer 2:
[tex]\begin{gathered} x-\text{intercept}=(-\sqrt[]{3},0) \\ x-\text{intercept}=(\sqrt[]{3},0) \\ y-\text{intercept}=(0,-3) \end{gathered}[/tex]Use point-slope form to write the equation of a line that passes through the point (8,17) with slope 3/2 .
Answers
The equation of the line with the given properties is y - 17 = 3/2(x - 18)
What are linear equations?Linear equations are equations that have constant average rates of change.
How to determine the equation of the line in point-slope form?The points are given as
(8, 17)
The slope is given as
Slope = 3/2
Calculate the slope of the points using
m = (y2 - y1)/(x2 - x1)
Where
Slope = m = 3/2
(x1, y1) = (8, 17)
So, we have
3/2 = (y - 17)/(x - 8)
Cross multiply in the above equation
So, we have
y - 17 = 3/2(x - 18)
A linear equation is represented as
y = m(x - x1) + y1
In point-slope form, we have
y - y1 = m(x - x1)
By comparing y - y1 = m(x - x1) and y - 17 = 3/2(x - 18), we can see that
y - 17 = 3/2(x - 18) is in point-slope form
Hence, the equation in point-slope form of the line that passes through the point (8, 17) is y - 17 = 3/2(x - 18)
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While hiking down a mountain, your rate of decent is - 500 feet per hour. Your decent begins at an elevation of 3.000 leet. What your elevation after hiking 3 hours?
Answers
The expression for this scenario is:
[tex]\begin{gathered} E=3000-500t \\ E\text{ is the elevation } \\ t\text{ is the time} \\ \text{From the question, t = 3 hours} \end{gathered}[/tex]Now substitute the value of t into the elevation expression above, to get the elevation reached after 3 hours.
[tex]\begin{gathered} E=3000-500t \\ E=3000-500(3) \\ E=3000-1500 \\ E=1500\text{ feet.} \\ \text{The elevation after 3 hours is 1,500 feet.} \end{gathered}[/tex]Calculate the volume of the cuboid shown below. Give your answer in cm³. If your answer is a decimal, then round it to 1 d.p.
Answers
Answer:
Can't see sh## ur photo is crazy low quality
Solve the proportion=3х
Answers
we have
x/3=5/2
multiply in cross
2*x=3*5
2x=15
x=15/2
x=7.5or
Multiply both sides by 3
3*(x/3)=3*(5/2)
x=15/2
x=7.5x+5y=10 3x + 5y = 0 Graph each equation determine the solution of the system of equations
Answers
Answer:
Explanation:
Given the system of equations:
[tex]\begin{gathered} x+5y=10 \\ 3x+5y=0 \end{gathered}[/tex]To
Please help I’ll mark you as brainliest if correct!!
Answers
The set of letters in the word 'woodpecker' using the most concise method is {c, d, e, k, o, p, r, w}.
What is the difference between the roaster method and set builder notation?The elements (or members) of a set are enumerated in a row within curly brackets and separated by commas in the roster form; however, in the set-builder form, each element of the set is required to have only one property to be a member of the set.
Given: The word is 'woodpecker'
To write the set utilizing the listing (roster) method or the set builder notation.
The roster method or listing method exists as a method to show the elements of a set by listing the elements inside brackets.
Set builder notation exists as a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.
The set builder notation exists not have a suitable method to list the elements of the given word.
The most concise method to list the elements of the given word, 'woodpecker', exists in the listing (roster) method.
Using the listing (roster) method,
The set of letters of the given word is {c, d, e, k, o, p, r, w}.
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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 65 large boxes and 55 small boxes. If the truck is carrying a total of 4850 pounds in boxes, how much does each type of box weigh?
Large box:____Pounds
Small box:____Pounds
Answers
The large box weighs 45 pounds and the small box weighs 35 pounds.
How to calculate the value?Let the weight of the small box = x
Let the weight of large box = y
The combined weight of a large box and a small box is 80 pounds. The truck is transporting 65 large boxes and 55 small boxes. If the truck is carrying a total of 4850 pounds in boxes. This will be illustrated as:
x + y = 80 ...... i
55x + 65y = 4850 .... ii
From equation i x = 80 - y
This will be put into equation ii
55x + 65y = 4850
55(80 - y) + 65y = 4850
4400 - 55y + 65y = 4850
10y = 4850 - 4400
10y = 450
y = 450 / 10 = 45
Large box = 45 pounds
Since x + y = 80
x = 80 - 45 = 35
Small box = 35 pounds.
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Two planes start from the same point and fly in opposite directions. The first plane is flying 30 mph slower than the second plane. In 3 h, the planes are 810 mi apart. Find the rate of each plane.
Answers
Answer:
120 mph150 mphStep-by-step explanation:
Given two planes flying in opposite directions are 810 miles apart after 3 hours, and the first is 30 mph slower than the second, you want the speed of each plane.
SetupLet s represent the speed of the slower plane. Then faster plane will have a speed of (s+30). The distance between the planes increases at a rate equal to the sum of their speeds. Distance is the product of speed and time, so we have ...
distance = speed × time
810 = (s + (s+30)) × 3
SolutionDividing the equation by 3, we get ...
270 = 2s +30
240 = 2s . . . . . . subtract 30
120 = s . . . . . . . divide by 2
150 = s+30 . . . the speed of the faster plane
The speed of the first plane is 120 mph; the speed of the second plane is 150 mph.
The rate of the two planes flying in opposite direction was found to be
The faster plane = 150 mphThe slower plane = 120 mphHow to find the rate of each plane
given data
The first plane is flying 30 mph slower than the second plane.
time = 3 hours
distance = 810 miles
let the rate of the faster plane be x
then rate if the slower plane will be x - 3
rate of both planes
= x + x - 30
= 2x - 30
Finding the rate of each plane
rate of both planes = total distance / total time
2x - 30 = 810 / 3
2x - 30 = 270
2x = 270 + 30
2x = 300
x = 150
Then the slower plane = 150 - 30 = 120 mph
Hence the rate of the faster plane is 150 mph and the rate of the slower plane is 120 mph
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which expression is equal to (-7)^2 x (-7)^5 c (-7)^-9
Answers
The simplified expression of (-7)^2 x (-7)^5 x (-7)^-9 is (-7)^-2
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the expression?The expression is given as
(-7)^2 x (-7)^5 x (-7)^-9
The base of the above expression are the same
i.e. Base = -7
This means that we can apply the law of indices
When the law of indices is applied, we have the following equation:
(-7)^2 x (-7)^5 x (-7)^-9 = (-7)^(2 + 5 - 9)
Evaluate the sum in the above equation
So, we have
(-7)^2 x (-7)^5 x (-7)^-9 = (-7)^(7 - 9)
Evaluate the difference in the above equation
So, we have
(-7)^2 x (-7)^5 x (-7)^-9 = (-7)^-2
Hence, the simplified expression of the expression given as (-7)^2 x (-7)^5 x (-7)^-9 is (-7)^-2
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If x is a solution to the equation 3x−12=24, select all the equations that also have x as a solution. Multiple select question. A) 15x−60=120 B) 3x=12 C) 3x=36 D) x−4=8 E) 12x−12=24
Answers
The equations that have x as a solution are 15x - 60 = 120 and 3x = 24.
How to find equations that has the same solution?The equation is as follows:
3x - 12 = 24
The equations that also has x as the solution can be found as follows:
Let's use the law of multiplication equality to find a solution that has x as the solution.
The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.
Multiply both sides of the equation by 5
3x - 12 = 24
Hence,
15x - 60 = 120
By adding a number to both sides of the equation, we can get same solution for x.
3x - 12 = 24
add 12 to both sides of the equation
3x - 12 + 12 = 24 + 12
3x = 24
Therefore, the two solution are 15x - 60 = 120 and 3x = 24
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The table shows claims and their probabilities for an insurance company. On any given claim, how much money can this company expect to pay?
Answers
The most appropriate choice for expectation will be given by-
Amount of money the company expected to pay = $10400
What is expectation?
At first it is important to know about probability of an event.
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Suppose x is a random variable with the probability function f(x). suppose [tex]x_1[/tex], [tex]x_2[/tex],....., [tex]x_n[/tex] are the values corrosponding to the actual occurance of the event and [tex]p_1,[/tex] [tex]p_2,[/tex]....,[tex]p_n[/tex] be the corrosponding probabilities.
Expectation is given by the formula
[tex]p_1x_1 + p_2x_2....+p_nx_n[/tex]
Here,
Amount of money the company expected to pay =
$[tex](0 \times 0.70 +20000 \times 0.16+ 40000 \times 0.09 + 60000 \times 0.03 + 80000 \times 0.01 + 100000 \times 0.01)[/tex]
= $10400
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can someone please help me solve and help me graph for this equation?
Answers
Graph both equations. The coorinates of the point where the graphs intersect is the solution to the system of equations.
To graph them, notice that each equation corresponds to a line. A straight line can be drawn if two points on that line are given. Replace two different values of x into each equation to find its corresponding value of y, then, plot the coordinate pairs (x,y) to draw the lines.
First equation:
[tex]y=2x-3[/tex]For x=2 and x=5 we have that:
[tex]\begin{gathered} x=2 \\ \Rightarrow y=2(2)-3 \\ =4-3 \\ =1 \end{gathered}[/tex][tex]\begin{gathered} x=5 \\ \Rightarrow y=2(5)-3 \\ =10-3 \\ =7 \end{gathered}[/tex]Then, the points (2,1) and (5,7) belong to the line:
Second equation:
[tex]x+3y=12[/tex]For x=0 and x=6 we have:
[tex]\begin{gathered} x=0 \\ \Rightarrow0+3y=12 \\ \Rightarrow3y=12 \\ \Rightarrow y=\frac{12}{3} \\ \Rightarrow y=4 \end{gathered}[/tex][tex]\begin{gathered} x=6 \\ \Rightarrow6+3y=12 \\ \Rightarrow3y=12-6 \\ \Rightarrow3y=6 \\ \Rightarrow y=\frac{6}{3} \\ \Rightarrow y=2 \end{gathered}[/tex]Then, the points (0,4) and (6,2) belong to the line:
Solution:
The lines intersect at the point (3,3).
Then, the solution for this system of equations, is:
[tex]\begin{gathered} x=3 \\ y=3 \end{gathered}[/tex]