Answers
Given:
The graph of a piecewise function.
To find:
The points of discontinuity.
Solution:
The function is discontinuous at a point if:
1. There is a jump in the graph of function.
2. There is a hole in the graph at that point.
3. The function approaches to infinite at that point.
From the given graph it is clear that the graph of the function has jumps are at points [tex]x=-2[/tex] and [tex]x=0[/tex].
So, the function is discontinuous at [tex]-2,0[/tex].
Therefore, the correct option is (c).
Related Questions
Help me it says use the figure for 1 and 2
Answers
True or false? The graph represents a function. 5. -5 5 2.5 O A. True O B. False
Answers
Answer:
True
Step-by-step explanation:
In functions, each x value has its own corresponding y value, this meaning that the x value cannot repeat, and if it does it is not considered a function
Looking at the graph, no x value repeat, thus the graph represents a function
Whoever is good at math, please help me!
Answers
Answer:
I think it is 62.4 km.
Step-by-step explanation:
On a test. I can't find answers anywhere else.
Answers
i think this is correct
10. Fill in the blanks so as to make the statement true:
(i) A number which can be expressed in the form m/n, where m and n are
integers and n is not equal to zero, is called a ________.
(ii) If the integers m and n have no common divisor other than 1 and n is
positive, then the rational number m/n is said to be in the ________.
(iii) Two rational numbers are said to be equal, if they have the same
________ form.
(iv) If m is a common divisor of x and y, then x/y = (x ÷ k)/______
(v) lf p and q are positive integers , then m/n is a ________ rational
number and m/-n is a ________ rational number.
(vi) The standard form of -1 is ________.
(vii) If m/n is a rational number, then n cannot be ________
(viii) Two rational numbers with different numerators are equal, if their
numerators are in the same ________ as their denominators.
Answers
Step-by-step explanation:
(I) A number which can be expressed in the form m/n, where m and n are integers and n is not equal to zero, is called a Rational Number .
(ii) If the integers m and n have no common divisor other than 1 and n is positive, then the rational number m/n is said to be in the Simplest form .
(iii) Two rational numbers are said to be equal, if they have the same Simplest form .
(iv) If m is a common divisor of x and y, then x/y = (x ÷ k)/( y ÷ k) .
(v) The standard form of -1 is -1/1
(vi) If m/n is a rational number, then n cannot be 0
(vii) Two rational numbers with different numerators are equal, if their numerators are in the same ratio as their denominators.
4. A car is travelling 75 kilometers per hour. How many meters does the car travel in one
minute?
Answers
Answer:
1250 Meters
Step-by-step explanation:
75 kilometers divided by 60 minutes is 1.25 kilometers per minute.
1 kilometer = 1000 meters
Answer:
75km/hr =75000
60 sec =1min,60 min=1hr
75000÷60=1250m
What is the missing length?
Answers
Answer:
16
Step-by-step explanation:
The area of a triangle is
A =1/2 bh where b is the base length and h is the height
Substitute the values in
69.6 = 1/2 ( 8.7) * p
69.6 = 4.35p
Divide each side by 4.35
69.6/4.35 = p
16 = p
The formula for the area of a triangle is: A = 1/2 * base * height.
Using this formula, let's plug in what we know.
69.6 = 1/2 * 8.7 * height
Next, we'll go ahead and get rid of that 1/2 by multiplying everything by its reciprocal, 2.
139.2 = 8.7 * height
Then, all that's left is to divide both sides by 8.7.
Height = 16 yards
Hope this helps!! :)
Can someone please explain the Pythagorean theorem to me?
Answers
Answer:
Pythagoras theorem is is a mathematical law that states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.
Step-by-step explanation:
The hypotenuse is the side opposite to the right angle and so the equation for finding the hypotenuse would be:
a^2+^b^2=c^2
Evaluate the expression 8a+11−3b for a = 4 and b = 2.
Answers
Answer: 37
8(4)+11-3(2)
32+11-6
43-6
37
what is 2/4 divided by 3
Answers
Answer:
0.166
Step-by-step explanation:
please help, tysm :)
Answers
Answer:
y=5x+1
i'm pretty sure...
In the figure b and c are parallel lines select all the statements that are true
Answers
Did you ever get the answer
Answer:
Im the king of answers
Step-by-step explanation:
The answer is A, C, and E
Mrs. Torres wants to know how many students wear thelr uniforms. In order to gather data, she stands by the front door and records each student. Identify the data-gathering technique described above:
A. Observational Study
B. Randomized Experiment
C. Survey
D. All of the above
Answers
Answer:
Observational Study
Step-by-step explanation:
Because she stands by the front door and records each student
The data gathering technique used to know the number of students that wore their uniform is Observational study
What are data gathering technique?
Data gathering technique is the process of gathering, measuring, and analysing accurate data from a variety of relevant sources.
There are several procedure of acquiring this data, which includes the following:
Observation.Interview.Survey.Documents and record and many more.The data gathering technique used to know the number of students that wore their uniform is Observational study.
learn more on data gathering technique here: https://brainly.com/question/22551071
#SPJ2
b) A jewellery shop sells 240 necklaces in a month.
180 of the necklaces were sold via the shop's website, the rest were
sold in a high street shop.
Work out the ratio of online sales to shop sales.
Give your answer in its simplest form.
Answers
Answer:
3:1
Step-by-step explanation:
240 - 180 = 60
60:180
1:3
3:1
please help quick!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Un-shaded area = 3.14 x 2 squared = 12.56
Shaded area = (3.14 x 4 squared) - Area of un-shaded area
= 50.24 - 12.56 = 37.68
Answer:
37.68 sq cm
Step-by-step explanation:
Area = pi x r²
Area shaded = area whole circle minus area white circle
pi x 4² -pi x 2²
pi x 16 - pi x4
pi(16-4)
pi(12)
3.14 x 12 = 37.68
HELLPP ASAP!!!!
1. Find the unknown side lengths in these right triangles.
Answers
Answer:
10
Step-by-step explanation:
5x2
then for the next one the square root of 8 squared is just 8 and 4^2 is 16. so now the equation for that is 8 +y^2= 16 so simplify that and the solution for that is 2√2
Solve for x and y. X= Y=
Answers
Answer:
x = 82°
y = 8°
Step-by-step explanation:
x + 98° = 180°
x = 180° - 98°
x = 82°
x + y = 90°
82° + y = 90°
y = 90° - 82°
y = 8°
5 1/2 ÷ 3 2/3 + 1 4/5 , giving answer as a fraction in lowest terms
Answers
Answer:
6761/320
Step-by-step explanation:
[(51/2)÷32/3]+14/5
=6761/320
a triangle has sides with lengths 9 yards 12 yards and 18yards is it a right triangle
Answers
Answer:
use Pythagorean theorem:
[tex]a^2+b^2=c^2\\9^2+12^2=18^2\\81+144=324\\225\neq 324[/tex]
it's not a right triangle
Help.
I have killed three children, the other six are locked in my basement and the cops are at my door. Do I invite them inside and poison their tea,, or do I just stab them??
P.S
Best way to get rid of bodies??
TYY!!! ^^
Answers
Answer:
Eat them. )llllllllllllllllllllllllll)
20 POINTS PLEASE HELP
Ms. Madero sells tables. She charges $26 per square foot of the tabletop and charges a fixed fee of $75. Which equation could be used to find the area
(x), in square feet, of the tabletop of a table that Ms. Madero sells for $244?
O 26x + 75 = 244
O 26x = 75 +244
O 75x + 26 = 244
O 75x = 26 +244
Answers
Step by step explanation:
It is 26 per square foot, the square foot of the table tops vary and people may choose a table with a smaller/larger table tops here the square foot of the table tops is unknown so we verify it as the x variable. 26 per x so 26x
A fixed cost is always added to the variable cost, 26x “variable cost” + 75 fixed cost = 244 final cost
We can find how many square foot was her table top by rearranging the equation.
Answer:
26x+75=244
Step-by-step explanation:
The sum of the ages of Noah and Billy is 25; the sum of the ages of Noah and Ty is 20; and the sum of the ages of Billy and Ty is 31. Who is the oldest of the three and how old is he?
Answers
Answer:
the oldest is Ty and his age is 24
Step-by-step explanation:
Let us assume the billy age be x
Noah age be y
And, Ty age be z
Now according to the question
y + x = 25 ..........(1)
y + z = 20..........(2)
x + z = 31..............(3)
z = 31 - x
since
y + z = 20
y + 31 - x = 20
y - x = -11 .............(4)
Now solve (1) and (4) equation
So,
y + x = 25
y - x = -11
2y = 36
y = 18
x = 25 - 18
= 7
z = 31-7
= 24
Hence, the oldest is Ty and his age is 24
How can you tell from the equation of a rational function if the function has a hole in the graph ( a removable discontinuity) at x, rather than a vertical asymptote? Give an example
Answers
Consider that,
x^2+4x+4 = (x+2)(x+2)
x^2+7x+10 = (x+2)(x+5)
Dividing those expressions leads to
(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)
The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.
Planet Fitness charges a one-time membership fee of $25 and then a monthly charge of $10. Retro Fitness charges a one-time membership fee of $10 and then a monthly charge of $20. When is it less expensive to join Planet Fitness
Answers
Answer:
x < 3/2 month
Step-by-step explanation:
Let
x = number of months
Planet fitness:
25 + 10x
Retro fitness:
10 + 20x
Equate
25 + 10x < 10 + 20x
25 - 10 < 20x - 10x
15 < 10x
x < 15/10
x < 3/2 month
It is less expensive to join planet when the number of months is less than 3/2 months
Which one is it and why? Please actual answers only
Answers
Answer:
The first answer, 3(pi) km^2
Step-by-step explanation:
3 x pi squared determines the area
Answer:
I believe that it is A
Step-by-step explanation:
I don't know how to explain it
I think it is just the formula for the area of a circle
Help me with this pleaseeeeeeeeeee
Answers
Answer:
C (-3,5)
Step-by-step explanation:
hope this helps!
ABCD is a rectangle find each value
Answers
Answer:
Step-by-step explanation:
for angle <ADB= 90-31= 59 degrees
for angle <ACD= ACD have the same shape like BDC so it will be 31 degrees
for angle< DBC= remember ADB and ABD are same so the angle ADB is equal to ABD. So it is 59 degrees.
for angle<DEC= Add both angles C and D 31 and 31.
so
<DEC+31+31=180
<DEC+62=180
<DEC=180-62
<DEC= 118DEGREES
The equation for the line of best fit is y=–0.7x+39. In this equation, what does the y-intercept of 39 tell you?
Answers
Which graph best represents the equation –x + 2y = 4?
Answers
Answer:
C is corrcet
Step-by-step explanation:
because the linye should be on any negtive number for x and y should be on 3
Answer:
Yes the answer is graph c
Step-by-step explanation:
Have a great day.
The model represents an inequality. What is the solution set for the inequality?
Answers
Given:
The figure of an algebraic tiles model of an inequality.
To find:
The inequality for the given model.
Solution:
On the left hand side of the inequality sign in the model we have 8 tiles of x and 12 tiles of 1. So,
[tex]LHS=8(x)+12(1)[/tex]
[tex]LHS=8x+12[/tex]
On the right hand side of the inequality sign in the model we have 12 tiles of -1. So,
[tex]RHS=12(-1)[/tex]
[tex]RHS=-12[/tex]
Now, the inequality for the given model is:
[tex]8x+12\geq -12[/tex]
Therefore, the required inequality for the given model is [tex]8x+12\geq -12[/tex].