Answers
No, the piecewise graph is NOT a function because it does NOT pass the vertical line test.
The vertical line test is where we try to pass a line through more than one point on the curve. If it is not possible to do this, then the graph is said to "pass the vertical line test".
In this case, the given graph fails the vertical line test. Look at something like x = -2. We can draw a vertical line through here to pass through more than one point. One point is on the upside-down V shape, and the other point is on the parabolic shape. Plugging x = -2 into this leads to more than one y outputs.
A function is only possible if any valid x input (from the domain) leads to exactly one output y value (in the range).
Related Questions
Show all you work plzzz
Answers
Answer:
[tex]4+3n[/tex]
Step-by-step explanation:
[tex]4+8n-5n[/tex]
Solve [tex]8n-5n=3n[/tex]
[tex]4+3n[/tex]
ײ⅖ idkk
My teacher jst put this
Answers
Answer:
the answer is x 12/5
Step-by-step explanation:
X/10 > 3 solution to the inequality
Answers
Djduhdbevzhzjsvvsyshavahsysjsjsj
Which of the following lines has a slope of -1?
Answers
Answer:
I do not see any lines
Step-by-step explanation:
Rozalie spent $26.75 at a parking garage in downtown Orlando. The garage charged a base fee of $7.50 for the first hour, and an hourly rate of $2.75 for each additional hour. The following sign is displayed to show the prices for the first 4 hours.
Answers
Answer:
Rozalie spent 7 hours at the parking garage.
Step-by-step explanation:
The equation for the above Question can be given as:
$7.5 + 2.75x
Where x = hourly rate
We are told that Rozalie spent $26.75
The number of hours Rosalie spent at the parking garage is calculated as:
$7.5 + 2.75x = $26.75
2.75x = $26.75 - $7.5
2.75x = 19.25
x = 19.25/2.75
x = 7 hours
Therefore the number of hours Rozalie spent at the parking garage was 7 hours.
elena and emily are twins. together they have saved a total of $72. elena saves twice as much as emily. how much has each girl saved?
Answers
Answer:
Emily: 24 Elena:48
Step-by-step explanation:
el + em = 72
el = 2em
2em + em = 72
3em = 72
em = 24
el = 2*24 = 48
If this helped, please give brainliest
к L
-12 -9 -6 -3 0 3 6 9 12 15 18
What is KL?
Answers
Answer:
kl is a volume with sides that are equal
If the point K is over -9 and L is over 15 then the value of KL is 24.
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
A number line is a horizontal line that has equally spread number increments.
On the number line K is over -9 and L is over 15
We need to find the distance of KL.
KL=OL-OK
Where the OL is 15 and OK is -9.
Now plug in these values in KL
KL=15-(-9)
When minus and minus are multiplied we get positive.
=15+9
Add fifteen and nine we get twenty four.
=24
Hence, if the point K is over -9 and L is over 15 then the value of KL is 24.
To learn more on Distance click:
https://brainly.com/question/15172156
#SPJ7
If f(x) = 5x + 3 and g(x) = x – 4, then f(x) + g(x) =
Answers
Answer:
C. 6x-1
Step-by-step explanation:
Add 5x+3 by x-4 (5x+3+x-4), then simplify by combining like-terms. So, add 5x+x, which will be 6x and then do 3-4, which will be -1. So, the answer should be 6x-1. Hope this helps!
Which symbol makes the number sentence true?
-2.50 ? -10/4
A) <
B) >
C) =
Answers
Answer:
C) =
Step-by-step explanation:
-10/4 simplifies to -2.5 which is also equal to -2.50.
Identify the data set's level of measurement.
Ages of students in a statistic class
Answers
The ages of students in a statistic class is classified as a nominal data.
For the given statistics class, the age of the student is Nominal data in nature.
Nominal data are “labeled” data which can be divided into various groups that do not overlap.This type of data ar not measured or evaluated but are categorized into groups. Examples of nominal data include race, sex, age etc.Hence the ages of students in a statistic class is classified as a nominal data.
Learn more on nominal data here: https://brainly.com/question/4823744
Answer:
Question :Identify the data set's level of measurement.
Ages of students in a statistic class.
RatioOrdinalNominal Interval Answer :The ages of students in a statistic class is identify as a nominal data.
Additional Information :
Levels of measurement
There are 4 levels of measurement, which can be ranked from low to high:
Nominal : the data can only be categorized.Ordinal : the data can be categorized and ranked.Interval : the data can be categorized and ranked, and evenly spaced.Ratio : the data can be categorized, ranked, evenly spaced and has a natural zero.Reflect on the concept of polynomial and rational functions. What concepts (only the names) did you need to accommodate these concepts in your mind? What are the simplest polynomial and rational function you can imagine? In your day to day, is there any occurring fact that can be interpreted as polynomial and rational functions? What strategy are you using to get the graph of polynomial and rational functions?
Answers
Answer:
Given below
Step-by-step explanation:
A rational function is a function containing rational numbers.
It can be an algebraic function in which both the numerator and denominators can be polynomials.
Any number which can be expressed in the form of a fraction p/q where p and q are integers and q is not equal to zero is called a rational number. Positive integers, negative integers ,zeros and common fractions belong to the system of rational numbers. P can be equal to zero.
A polynomial function is a function consisting of polynomials. A polynomial is an algebraic expression consisting of one or more terms in each of which the exponent of the variable is zero or positive integer. Thus 2,3x, x²+ 3x-4 etc are polynomials.
A polynomial consisting of a single term is monomial e.g, 2, 3x , xy
A polynomial consisting of two terms is binomial e.g, 2+3x , xy- 5z etc.
A polynomial consisting of three terms is trinomial e.g, 2+3x +xy
Terms containing the same variable and same corresponding exponents are known as like terms.
Terms having different variables or same variable but different exponents are called unlike terms.
Polynomials are used to sketch curves or daily life problems.
To sketch the graphs first we find the intercepts, then the vertical asymptotes and the horizontal asymptote, by solving.
The vertical asymptotes divide the number line into regions after which the graph is sketched.
The first thing that comes to the mind is the form of p/q for rational functions and algebraic expressions for the polynomial functions.
The fundamental difference between the graphs of the polynomial function and rational function is that the graph of the polynomial function is continuous in nature while the graph of the rational function is discontinuous in nature as the denominator will be zero at some point.
The strategy are using to get graph of polynomial and rational function given below.
Polynomial is an expression comprising variables and coefficients.
The rational expression is fractions involving polynomials
Polynomial: A polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
An example of a polynomial of a single indeterminate, x, is x² − 4x + 7
Polynomial Function : A polynomial function is a function which involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation
Rational: The definition of rational is something that makes sense or that could be based in fact or someone who behaves and thinks logically.
Rational Function: A rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers; they may be taken in any field K.
Polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides.
Process for Graphing a Rational Function and Polynomials given below.
Find the intercepts, if there are anyFind the vertical asymptotes by setting the denominator equal to zero and solving. Find the horizontal asymptote, if it exists, using the fact above.The vertical asymptotes will divide the number line into regions.Sketch the graph.The fundamental difference between the graphs of the polynomial function and rational function is that the graph of the polynomial function is continuous in nature while the graph of the rational function is discontinuous in nature as the denominator will be zero at some point.
To know more about Graph click the link given below.
https://brainly.com/question/18227798
What is the supplement of an angle having a measure of 120 degrees?
Answers
So your answer is 60 degrees.
What is 6.92 x 10^ -3 written in standard form ?
Answers
Answer:
6.92 x 1,000= 6,920
Step-by-step explanation: Hope this helps
round 46.231 to the nearest tenth
Answers
Answer:
46.2
Step-by-step explanation:
Because starting from the decimal point, 2 is the tenth, 3 is the hundreth and so on and so forth.
To which substance does ferredoxin transfer an electron? photosystem I photosystem II NADP+ NADPH
Answers
Answer:
NADP+
Step-by-step explanation:
Answer:
C. NADP+
Step-by-step explanation:
simplify 14+ 18/2 * 18-7
Answers
Answer:
the solution is 169
Step-by-step explanation:
Answer:
169
Step-by-step explanation:
14 +18/2 x 18-7
14+9 x 18-7
14+162-7
169
Evaluate 3 + 11t - 9u when t=9 and u=11
Answers
Answer:
3
Step-by-step explanation:
given
3 + 11t - 9u
if t = 9, and u = 11, substitute these numbers into the equation:
3 + 11(9) - 9(11)
= 3 + 99 - 99
= 3
Answer: 3
Step-by-step explanation:
3+11t-9u=3+11(9)-9(11)
=3+99-99
=102-99
=3
If you get this you are a critical thinker.
I enter the garden.
There are 34 people.
You kill 30.
How many people are in the garden.
Answers
Answer:
5
Step-by-step explanation:
If you killed 30 and there were 34 people there not including me then there would be 5 left.
Bob bought a Ford Expedition for his family. After 5 years, the SUV was
worth $10,000 less than what he paid for it. What integer represents the
how much value the SUV lost each year?*
Answers
Answer:
500$
Step-by-step explanation:
Answer:
2,000
Step-by-step explanation:
10,000/5=2000
helpppppp meeeee pleaseeeee
Answers
Answer:
B) -2 degrees
Step-by-step explanation:
If the temperature went down 10 degrees the equation you need to use is 8-10=x.
Once simplified/solved you will get -2
-2
In the morning it was 8 degrees celsius, and in the night it was 10 degrees lower. You are trying to find a number that's 10 degrees lower than 8. So you would do:
8-10
That would result in -2
How does this graph change between (2.5, 2) and (4.5, 0.25)
Answers
Answer:
Decreases
Step-by-step explanation:
Answer:
decreases
Step-by-step explanation:
I just did the assignment!
Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered the greatest area. Who is correct? Justify your answer using mathematical reasoning. Also, what is the area of both shapes?
Answers
Answer:
a. Perry covered a larger area
b. Karina covered an area of 9 units squared
Perry covered an area of 18 units squared
Step-by-step explanation:
Here, we are to justify our answer using mathematical reasoning.
Firstly, we need to deduce who out of the two has covered the greatest area.
The best way to go about this is by looking at the dimensions of the shapes in which they have individually covered.
For Karina, we have a square of sides 3 units by 3 units
While for Perry, we have a rectangle of dimension 9 units by 2 units
We know that judging by the areas of both, a square of side 3 by 3 has a smaller area compared to a rectangle of side 9 by 2
So since the rectangle has the bigger area, then Perry has covered a larger area during her community service
We are told to calculate the areas;
For Karina , we have;
3 by 3 = 3 units * 3 units = 9 units squared
For Perry, we have
9 by 2 = 9 units * 2 units = 18 units squared
Angel got a new phone with Verizon. They charged Angel $50 each month for service, plus an additional $15 per gigabyte of data used. Write an equation that models the total price of Angel's phone bill as 'y' based on the number of gigabytes used, 'x'.
Answers
Answer: 15y+50=x
Step-by-step explanation:
URGENT WILL GET BRAINLIEST!!!!
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measure.
m∠1=(50x)∘, m∠8=150°
Answers
Answer:
Alt. Ext. Angles Theorem.
m∠1 = 150
Step-by-step explanation:
∠1 and ∠8 are alternate exterior angles formed when the transversal line cuts across the 2 parallel lines. According to the alternate exterior angles theorem, both are congruent. Therefore,
m∠1 = m∠8
m∠1 = (50x)°
m∠8 = 150
Set both equal and solve for x
50x = 150
Divide both sides by 50
50x/50 = 150/50
x = 3
Unknown angle:
m∠1 = (50x) = 50*3 = 150°
Rachel wants to purchase a new I-Tablet on Black Friday for $450. Better Buy offers two
installment plans for purchasing this item.
Plan A: a fixed weekly payment of $25
Plan B: a $120 initial payment, followed by weekly payments of $5
After 12 weeks, how much money would Rachel spend on each plan?
A Plan A: $300; Plan B: $60
B Plan A: $300; Plan B: $180
C Plan B: $300; Plan A: $60
D Plan B: $300; Plan A: $180
Answers
Answer:
hmmmmm im not sure
Step-by-step explanation:
Answer:
C.plan B: $300;planA:$60
not completely sure this is the answer but I hope this helps
Step-by-step explanation:
Which quadratic function opens up?
Y= -x^2+ 3
Y= -(x + 3)^2
Y= -3x^2
Y= x^2- 3
Answers
Answer:
y = x^2 - 3
Step-by-step explanation:
Quadratic function in general form:
y = ax^2 + bx + cThe graph opens up if a>0, opens down if a < 0
The function that opens up is:
y = x^2 - 3Which expression has a value of 1?
(Need answer ASAP)
Answers
Answer:I am adding the brackets to show in which order the expressions will be evaluated:
A.
(4 ÷ 4) + 4 – 4 = 1+4-4 = 1 (the correct answer)
B.
(4 · 4) – (4 ÷ 4)= 16-1 = 15
C.
4 –( 4 ÷ 4) – 4= 4-1-4 = -1
D.
(4 ÷ 4) + 4 + 4 = 1+4+4 =9
hope this help yu the answer is A
hope this hlpe
Step-by-step explanation:
Help me plzzz 100pts
Answers
I hope this helps
Answer:
Yen, Hana, Tyrell
Step-by-step explanation:
took on edge 2020
I will give brainliest answer
Answers
Answer:
Please see attached image
Step-by-step explanation:
Recall that for a reflection of the triangle, we proceed to reflect its vertices across the given line. A reflection places the image of the three vertices at exactly the same number of units on the other side of the line as the original vertex was.
Please see attached image for description.
We go from vertex A straight perpendicular towards the line, and count two divisions to reach the line, so we move in the exact same down direction two divisions on the other side of the given line and mark its image (point A').
We do similarly with point B (six divisions to reach the given line, and continue also 6 divisions to the other side to create its image B'.
Finally vertex C is 5 divisions from the given line, and we continue 5 divisions on the other side of the line to place its image.
Once this is done, we simply join the image points with segments to form the triangle.
Debra bought 7 boxes of chocolates. Each box cost $9.55. How much did she spend?
Answers
Answer:
$66.85
Step-by-step explanation:
One box equals $9.55.
There are seven boxes, so multiply the $9.55 by 7 to get your answer:
7 × 9.55 = 66.85.
Debra spent $66.85 for all seven boxes of chocolates.
