Discontinuity is the value of x or y for which the function is not defined. The function is discontinued at points x=0 and x=4.
What is discontinuity?The discontinuity is the value of x or y for which the function is not defined. It is represented by a blank dot at the point at which it is not defined.
The discontinuity of the function is represented by a blank dot, and it is the point where the function is not defined.
If we look in the graph, we will find that there are three blank dots, which are at:
x = -2
x = 0
x = 4
Now, since discontinuity means that the function is not defined but as we can see that the value of the function is defined at x = -2, therefore, we are left with only two options which are x=0 and x=4.
Hence, the function is discontinued at points x=0 and x=4.
Learn more about Discontinuity:
https://brainly.com/question/2750981
Answer:
1. b,c,e
2. c
Step-by-step explanation:
A ball is thrown into the air with an upward velocity of 80 feet per second. The function
h = -16t2 + 80t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground?
after 3 seconds
after 4 seconds
after 5 seconds
after 6 seconds
Answer:
C: after 5 seconds
what is 2{16-[6^2-4(8-2)}=
Answer: 8
Step-by-step explanation:
We have to complete the operation in the parenthesis first. 8-2 is 6. Now we have to take 4(6) which is 24. Now we have 6^2-24. 6^2 is 36. So 36-24 is 12. 16-12 is 4. Now 2 times 4 is 8.
Which number is equivalent to 2−5⋅ 3 ⋅ 22 ⋅ 33
Answer:
-988
Step-by-step explanation:
see all u do is subtract 2-5 multiply 5 times 3 and 3 times 22 and 22 times 33 and end up getting -988
what ratio represents the ratio sin (A) in the diagram?
Answer:
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Step-by-step explanation:
4. Jose is doing his Algebra homework and comes to a problem that
asks him to solve the equation 5x = 2x. He is unsure whether to divide
both sides by 2x or subtract 2x from each side. Will both methods
lead him to a correct solution or is one method correct and the other
incorrect? Explain your reasoning.
Answer:
x = 0Subtraction methodStep-by-step explanation:
Given equation
5x = 2xSolving for x
5x - 2x = 2x - 2x3x = 03x/3 = 0/3x = 0Let's see what the division method gives
5x = 2x5x/2x = 2x/2x2.5 = 1, which is impossibleNo solution. This method proves to be incorrect.
translate the following phrase into a mathematical expression 12 fewer than triple the value of x
Answer:
3x- 12
Step-by-step explanation: :))) this is true because a number next to a variable means multiplying and then youd subtract 12 from that total
How many fluid ounces are in 12 1/4 cups?
Divide using a common factor of three to find an equivalent fraction for 9/12
- - - - - - - - - - - - - - - - - -
First, figure out how three goes into each number.
- - - - - - - - - - - - - - - - - -
3 x 3 = 9
3 x 4 = 12
- - - - - - - - - - - - - - - - - -
Now, divide each by three ⇣
9 / 3 = 3
12 / 3 = 4
Take each quotient (answer) and make a fraction.
3/4 ↩︎- - - - - - - - - - - - - - - - - -
Have a great day/night! :)
~pinetree
Which expression is equivalent to this polynomial?
6x2 + 10x − 56
Given :
[tex]\longrightarrow \sf \qquad {6x}^{2} + 10x - 56[/tex]
⠀
We can write it as,
[tex]\longrightarrow \sf \qquad2 \bigg({3x}^{2} + 5x - 28 \bigg)[/tex]
⠀
We have to find the two numbers a and b such that,
⠀
[tex]\longrightarrow \sf \qquad a + b = 5[/tex]
[tex]\longrightarrow \sf \qquad a b = 84[/tex]
⠀
Obviously, the two numbers are 7 and 12.
[tex]{\longrightarrow \sf \qquad2 \bigg({3x}^{2} - 7x + 12x- 28 \bigg)}[/tex]
[tex]{\longrightarrow \sf \qquad2 \bigg[x \bigg(3x-7 \bigg) +4 \bigg(3x-7\bigg)} \bigg][/tex]
[tex]{\longrightarrow \sf \qquad{2 \bigg(3x - 7 \bigg) \bigg(x + 4\bigg)}}[/tex]
⠀
Therefore,
[tex]{\longrightarrow \bf \qquad{2 \bigg(3x - 7 \bigg) \bigg(x + 4\bigg)} \: is \: equivalent} \bf \: \: to \: \: {6x}^{2} + 10x - 56[/tex]
The cylinder shown has a volume of 619 cubic inches.
a. What is the radius of the cylinder?
Answer:
Areas and volumes of cylinders etc
Step-by-step explanation:
Given:
h = 10.7 in
V = 619 in^3
Volume (V) = π[tex]r^{2}[/tex]h
619 = 22/7×[tex]r^{2}[/tex]×10.7
∴[tex]r^{2}[/tex] = 619x7/ 22x10.7
r = 4,3 in approx.
Please check calculation for me but thats how one proceeds
Factoring
16x^5+20x^4-12x^3+24x^2
The answer to your question is 4x²(x+2)(4x²-3x+3)
What is the fraction for the following decimal expansion?
0.125
A. 1/8
B. 1/4
C. 5/12
D. 1/25
Answer:
A=1/8
Step-by-step explanation:
used a calculator
A television's size is
measured by the
diagonal length of the
screen. If a television is
24 inches tall and 32
inches wide, Find its
diagonal length.
Answer:
This is a clear case to use the Pythagorean Teorem, as we need to calculate diagonal lenght of a rectangle, and to do so, we can divide it in right triangles.
As the Pythagorean Teorem says [tex]a^2 + b^2 = c^2[/tex]
We can now replace on [tex]a^2 + b^2 = c^2[/tex] the numbers we have [tex]24^2 + 32^2 = c^2[/tex]
Now, we solve [tex]24^2 + 32^2 = c^2[/tex] by operating:
[tex]\sqrt{1600} = b[/tex]; b = 40
The diagonal lenght is 40 inches r
Did I get this right or no if I didn't pls explain (im so stupid)
Answer:
simplify the answer to 1 over 6
Answer:
1/6 or (Decimal: 0.166667)
Step-by-step explanation:
d + 7 over -3 = 4
SOLVE FOR D
Answer:
You can write this as: [tex]\\\frac{d+ 7}{-3}=4[/tex]
Step-by-step explanation:
D would have to equal 5.
If F1 has a magnitude of 12 N and the box is stationary, what is the magnitude of F2?
12 N12 N , ,
15 N15 N , ,
6 N6 N , ,
0 N
The magnitude of the Force F2 is; 12 N
How to solve equilibrium of Forces?
According to newton's third law of motion which states that to every action there is an equal and opposite reaction, since F1 has a magnitude of 12N, it means that F2 will be an equal force acting in the opposite direction.
Now, since the force F2 is equal and opposite to F1, then F2 = 12 N
Read more about equilibrium of forces at; https://brainly.com/question/20892645
Answer:12n
Step-by-step explanation:
PLEASE HELP!!! 30 POINTS!!!
Answer:
completing the square
Step-by-step explanation:
you have to complete it to get the awnser
In which set of points is y a function of x?
Answer:
Probably A
Step-by-step explanation:
Well, what I'm seeing is just that y = x squared.
[tex]y=x^{2}[/tex]
Answer: the first one
Step-by-step explanation: i may be wrong but i think its the first one, if its not please correct me
Estimate the perimeter of the figure to the nearest whole number.
please help
will not click links
Answer:
The perimeter to the nearest integer is 9.
Consider the line 9x+6y= -3.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
x= 27
y= 18
Step-by-step explanation:
What is the sum of 3 + ( –4 ) ? You may use the number line to help you figure out you’re answer
Answer:
-1
Step-by-step explanation:
To visualize this on a number line you are moving four spots over to the left of 3 (since it is to the left, it is a negative four). 3 to 2 is the first movement to left, 2 to 1 is the 2nd movement, 1 to 0 is the third movement, and 0 to -1 is the fourth movement to the left.
Answer:
-1
Step-by-step explanation:
It's basically 3-4
Let's say you have to make 4 pies by 4:00 but only make 3. You'd be missing 1.
What is the slope of the line on the graph
Answer:
-2
Step-by-step explanation:
To find the slope, you can do rise (change in y)/run (change in x). Take the points (0, 0) and (3, -6) There is a change of -6 in the y-direction (you can count on the graph) and a change of +3 in the x-direction. Using this, rise/over run, plug in -6/3 to get -2 as the slope.
3.01.01 LC)
Last week, Vernon worked the following days and times:
Day 1: 4 hours, 30 minutes
Day 2: 4 hours, 45 minutes
Day 3: 5 hours, 30 minutes
Day 4: 6 hours, 15 minutes
Find Vernon's total time worked in decimal hours. (4 points)
O 19.45
O
19.50
O
20.20
21.00
O
Answer:
21.00 hours
Step-by-step explanation:
4 hours, 30 minutes=4.5 hours
4 hours, 45 minutes=4.75 hours
5 hours, 30 minutes=5.5 hours
6 hours, 15 minutes=6.25 hours
4.5 + 4.75 + 5.5 + 6.25 = 21.00 hours
this circuit has 9- volt battery and total resistance of 15 ohms how much current flows in the circut
Answer: Power (P) = 5.4 watt (W) Current (I) = 0.6 ampere (A)
\
Find the length of each line segment or object to the nearest half or fours or eighth inch
Answer:
a. [tex]1\frac{1}{8} in.[/tex]
Step-by-step explanation:
hey there,
< There are 8 marks between 1 in. and 2 in. and here we can see that the distance of the line goes only up to the first mark.
Imagine this like a pizza that's divided into 8, but you only took 1 slice. That means you took only [tex]\frac{1}{8}[/tex] of the pizza. It is the same here on the ruler.
It's not only 1/8 though because we also have to add in the first inch. After that inch, we also have 1/8 of an inch. So [tex]1\frac{1}{8}[/tex] in. would be your final answer. >
Hope this helped! Feel free to ask anything else.
Evander is considering taking a $6,000
student loan that charges 3. 5% interest
compounded annually. Which amount is
closest to the total loan plus accumulated
interest in 4 years when he graduates?
F $6,885. 14 H $6,210. 00
G $6,840. 00 J $7,019. 15
Right answers only!
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=6000\left(1+\frac{0.035}{1}\right)^{1\cdot 4}\implies A=6000(1.035)^4\implies A\approx 6885[/tex]
helpppppp. Which statement correctly compares the function shown on this graph with
the function y=2x- 5?
Answer:
a
Step-by-step explanation:
Solve the equation
|2x - 5| = -3x+4
Answer:
x= 5/9 or 0.5556
Step-by-step explanation:
|2x-5| = -3x+4
|5x-5|=4
|5x|=9
|x|=5/9 or 0.5556
x= 5/9 or 0.5556
For Anthony's birthday, his mother is making cupcakes for his 8 friends at his daycare. The recipe calls for 3 1/3 cups of flour. This recipe makes 2 1/2 dozen cupcakes. Anthony's mother has only 1 cup of flour. Is there enough flour for each of his friends to get a cupcake?
Answer:
Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.
Step-by-step explanation:
Let suppose that Anthony and his friend will receive at least one cupcake, which means that Anthony's mother should make at least 9 cupcakes ([tex]\frac{3}{4}[/tex] dozens).
From statement we notice that quantity of cupcakes is directly proportional to the quantity of flour.
According to the recipe, the required amount of flour and cupcakes are, respectively:
Flour
[tex]3\,\frac{1}{3}\,cups = 3 \,cups +\frac{1}{3}\,cups = \frac{10}{3}\,cups[/tex]
Cupcakes
[tex]2\,\frac{1}{2}\,dozens = 2\,dozens +\frac{1}{2}\,dozens = \frac{5}{2}\,dozens[/tex]
If Anthony's mother has 1 cup of flour at her disposal, the amount of cupcakes is obtained by simple rule of three:
[tex]x = \frac{5}{2}\,dozen\times\frac{1\,cup}{\frac{10}{3}\,cups }[/tex]
[tex]x = \frac{3}{4}\,dozen[/tex]
In a nutshell, Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.
Help !!! Its A Math Question .... Find the coordinates of the reflection without using the coordinate plane.
P (4,6) over the x-axis.
Question options:
(-4, -6)
(4, -6)
(-6, 4)
(-4, 6)
Answer:
B
Step-by-step explanation:
When reflecting over the x axis, (x,y) -> (x, -y)
This means P(4,6) -> P'(4, -6)