Which interval notation accurately represents the domain?
(–∞, 7) U (7, ∞)
(–∞, 5) U (5, ∞)
(–∞, 0) U (0, ∞)
(–∞, 10) U (10, ∞)
Answers
The domain represents interval notation is (–∞, 7) U (7, ∞) which is the correct answer would be an option (A)
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
For all other x-values, the graph appears to be defined. Thus, with the exception of x = 7, all real numbers should fall under the function's domain. This is what that would look like in interval notation:
It is possible to write the interval (–∞, ∞). as the set of all real numbers. Keep in mind that infinity∞ or -∞ is not a real number. Both ends are shown to be excluded from the interval by the rounded brackets.
All real numbers less than but not equal to 7 are contained in the set (-∞,7). (both ends are excluded.) The collection of every real number greater than but not equal to is.
All real numbers less than and higher than are combined to form the set of all real numbers that are not equal to 7. The union operator joins two intervals together.
Hence, the domain represents interval notation is (–∞, 7) U (7, ∞)
Learn more about the domain and the range here:
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Related Questions
Determine which expression is equivalent to the expression 5 over 4 times g minus 3 minus 7 over 12 times g minus the expression one over 3 times g plus 15
Answers
Answer:-4/15 - 17
negative 4 over 15 plus negative 17
Explain: negative 4 over 15 plus negative 17
The volume of a pyramid is 37cm3. Its base area is 6cm2. What is its height? Round your answer to the nearest tenth of a unit.
Answers
Answer 3.1
Here's the formula:
V=\(\frac{lwh}{3}\)
H=3\(\frac{V}{lw}\)
3 · \(\frac{37}{6x6}\) ≈ 3.08333
rounded to : 3.1
(P.S. I also Used a calculator)
Which inequalities would have an open circle when graphed? Check all that apply.
t Less-than-or-equal-to 25
-2.5 Less-than-or-equal-to m
x > 5.4
One-half less-than x
x > 0
Answers
An open circle is used to graph strict inequalities, which means the inequality does not include the value at the boundary. The inequalities that would have an open circle when graphed are:
x > 5.4
One-half less-than x
x > 0
if an inequality states less than OR equal to that means the circle will be closed when graphed
The base of this pyramid is a rectangle. How many congruent faces does this pyramid have?
The pyramid has 4 congruent faces.
The pyramid has 5 congruent faces.
The pyramid has 1 pair of congruent faces.
The pyramid has 2 pairs of congruent faces.
Answers
Answer: The Pyramid has 2 pairs of congruent faces
Step-by-step explanation:
The explanation of congruent is the face has the same shape and same size. On rectangle pyramid, the height triangle are 2 same faces and 2 same faces, so it has 2 pairs of congruent faces
At a popular retail store, they have 24 ounce cans of salsa that costs $2.40. They also have 16 ounce cans of salsa that cost $1.44. Is the 24 ounce or 16 ounce can a better deal?
Answers
Answer:
24 ounce can is the better deal
Step-by-step explanation:
24 ounces has a rate of $ .10 per ounce while 16 has a rate of $ .11 per ounce
Answer:
24 ounce
Step-by-step explanation:
HELP PLEASE THIS IS DUE AT 9:50 MY TEACHER IS STRIIIICT ABOUT HOMEWORK
Answers
Answer:
\( \sqrt[3]{?} 3375 \)
A student is trying to solve the system of two equations given below:
Equation P: y + z = 6
Equation Q: 8y + 7z = 1
Which of the following is a possible step used in eliminating the y-term?
(y + z = 6) ⋅ −8
(y + z = 6) ⋅ 7
(8y + 7z = 1) ⋅ 7
(8y + 7z = 1) ⋅ 8
Answers
Answer:
A. (y+z=6) -8
Step-by-step explanation:
You will use the process of adding together the like terms. Since in equation Q, we have 8y, we need -8y in equation P. Answer A is the only one that will give us -8. You have to distribute -8 across all the variables and numbers in the parenthesis.
Answer:
(y+z=6)-8
Step-by-step explanation:
You have to eliminate y. You already have 8y. What eliminates 8y? -8y. And if you simplify (y+z=6)-8, you’ll get -8y-8z=-48.
CAN someone please help me on this ?? Help
Answers
Answer:
let me check i'll type it in the chat is that fine???
Step-by-step explanation:
3.082= y + 9/10 helpppppppppppppp
Answers
Answer:
y = 2.182
Step-by-step explanation:
3.082 = y + 9/10
3.082 - 9/10 = y
2.182 = y
Answer:
3.424 = y
Step-by-step explanation:
3.082 = y + 9/10
x10/9
3.424 = y
Show your work step by step, please ASAP
Answers
10 minutes for 1/4
40 minutes for 1 car.
40 times 6 = 240
240 divided by 6 is 4 (hours)
Sorry not sure about the unit rate!
A cube has a volume of 8 cubic centimeters. A square has the same value for its area as the value for the surface area of the cube. How long is each side of the square?
Answers
Each side of the square is 4.9 cm long.
The volume of a cube refers to the space enclosed by the cube in a three-dimensional space. Let a represent the edge of the cube.
The volume of a cube is given by:
V= a³ = 8 cm³
⇒ a = ∛8 = 2 cm
The surface area of a cube is the sum total of the area of all 6 sides of the cube.
The surface area of a cube is given by:
SA= 6a² = 6*2*2 = 24 cm²
Given that the area of a square is equal to the surface area of the cube.
i.e. S² = 24 cm²
where S represents the side of the square.
S= √24 cm = 2√6 cm ≈ 4.9 cm
Hence each side of the square is 4.9 cm long.
Read more about surface area and volume here:
https://brainly.com/question/19891526
https://brainly.com/question/3734595
WILL GIVE 10 POINTS!
Miguel rode his bicycle 4 miles less than 5 times the number of miles that Nathan rode. If Miguel rode his bicycle 6 miles, how many miles did Nathan ride?
A. 2 miles
B. 10 miles
C. 19 miles
D. 26 miles
Answers
You are welcome have a good day
Answer: A
Step-by-step explanation:
6=5x-4
Solve for x
X = 2
The map key shows that a map distance of 1/4 in. represents an actual distance of 5/8 mi. The actual distance from Portland to Beaverton is 8 miles how far is it on the map?
Answers
12.8 • 1/4 = 3.2
so it would be 3.2in on the map.
help me, please :)))))))))))
Answers
Create a histogram that shows this information.
Answers
Answer:
Step-by-step explanation:
Answer:
Explanation:
Answer:
Explanation:
Answer:
Explanation:
Answer:
Explanation:
Answer: YOUR MOM
Step-by-step explanation:
what is the result of 8 divided by 3/8
Answers
Answer:
21 \(\frac{1}{3}\)
Step-by-step explanation:
Don't really know how to explain this over a computer, other than use a calculator.
Hope that this helps!
Explanation:
Quite hard to explain but I did it but dividing 8 and 3 and and multiplying that answer by 8.
Help please answer only if you know
Answers
Hope this helps?
Answer:
A
Step-by-step explanation:
A scientific notation is not in double digits and always has a positive exponent
if the mean of the data set is 4 bubbles, find the number of bubbles Hannah blew.
Answers
Answer:
Hannah blew 1 bubble
Step-by-step explanation:
There are 4 people, (mean = total/amounth shared)
so 4*4=16
16-4-5-6=1
hope this helps please brainliest
if u subtract it all well it gives u 1
How much are you charged if you use 4 therms of gas?
A.) $23
B.) $22
C.) $21
Answers
The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality?
A. X
B. y
C. 5.5
D.\(\frac{1}{5.5}\)
Answers
The constant rate of change (m)is the same as constant of proportionality so y=Mx+b rate of change would be m. In this case 5.5
1. A survey asked 200 Grade 4 students about their reading preferences. Based on Graph #1, about how many of them would you expect to prefer comic books?
A. 10
B. 20
C. 70
D. 80
E. 100
2. About how many students do not prefer non-fiction?
A. 60
B. 75
C. 100
D. 150
E. 180
3. Overall, about how many students prefer literature (poems, plays, or novels)?
A. 45
B. 90
C. 100
D. 130
E. 180
Graph #2: Membership in School Clubs
4. At Rory’s school, students must join one after-school club. Based on the data in Graph #2, which club attracted about 30% of students?
A. yearbook
B. art
C. drama
D. hiking
E. running
F. science
5. Approximately What percent of students chose not to join the yearbook club?
A. 15%
B. 30%
C. 75%
D. 85%
E. 90%
6. About what percent of students joined the art club?
A. 30%
B. 25%
C. 20%
D. 15%
E. 5%
Answers
Answer:
1. A
2.150
3.c
4. d
5.im not sure
6. B
Step-by-step explanation:
Which expressions correctly show a subtraction problem rewritten as an addition problem?
Select all that apply.
Answers
Answer:
A, B, and E
Step-by-step explanation:
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
Answers
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Please explain your answer :D
don’t answer if you will not provide an explanation please :”)
Answers
Answer:
Step-by-step explanation:
QUESTION 7:
We are trying to find angles 1 and 2.
Known angle: 107˚.
In this question, we have 2 parallel lines with a transversal. A transversal is a line that passes through 2 parallel lines making it so that the angles on both sides are exactly the same.
Step 1: Find the measures of all the angles using the one we already know.
I will start with the angle adjacent (right next to) the angle that measures 107˚. As you can see, it is a supplementary angle because both of them form a straight line, or 180˚.
Therefore,
107+x= 180
x= 180-107
x= 73˚
Next, I will find the measure of the angle that is vertical to the one that measures 107˚. Note that angles that are vertical to each other are always identical, or in other words they have the same measure. Hence, the angle "vertical", or opposite to the one that measures 107˚ has to measure 107˚ as well. You can also tell this is true because they look the same.
Now I'll find the measure of the angle vertical to the one that measures 73˚. As we know, vertical angles are identical, so the one vertical to it is 73˚.
Here, I'll solve for angles 1 and 2. Like I said earlier, when a transversal crosses through 2 parallel lines, there will be 2 sets of angles that all have the same measurements.
To solve for angle 1, simply know what angle is right below it, and that is the one that measures 107˚. (If you look at the 2 lines, you will see that both angle sets are essentially duplicates of each other.) Likewise, angle 2 has to be 73˚ because the one under it is also 73˚.
Angle 1: 107˚
Angle 2: 73˚
QUESTION 8:
Again, we have a transversal that passes through 2 parallel lines. One angle measures 95˚. When there are 3 seperate angles along a straight line, the one next to the one with the given measurement will be the same as that one.
So angle 3 is 95˚. To find angle 4, find the angle measurement that's vertical to angle 3, which is 95˚. Now, since that angle and angle 4 are supplementary (both form a straight line which is always 180˚), 95+x= 180.
(x stands for angle 4)
x+95= 180
x= 180-95
x= 85
Angle 4= 85˚.
QUESTION 9:
ANGLE 5: 49˚
When there is a transversal, there are 2 identical pairs of angles. Therefore, angle 5 must be 49˚.
ANGLE 6: 131˚
angle 5 and angle 6 form a straight line which means they are supplementary angles. Therefore, both angles must add up to 180˚. So 49+x= 180
x= 180-49= 131
(x stands for angle 6)
Hope this helps!! Also I worked pretty hard on this so brainliest would be appreciated :D
Practice problems if it helps :) : https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_1
evaluate 8 - 4.7 y - x ,when y = -1 and x = 2.
Answers
Answer:
10.7 = 0
Step-by-step explanation:
8 - 4.7*y - x
8 - 4.7*y - x = 0
8 - 4.7*(-1) - 2 = 0
8 + 4.7 - 2 = 0
10.7 = 0
8-4.7y-x write the original equation
8-4.7(-1)-2 plug in the numbers
10.7 use a calculator to find the answer
A polygon will be dilated on a coordinate grid to make a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation? A. (x,y) → (x, y) B. (x,y) → (1. 2x, 1. 2y) C. (x,y) → (3 - x, 3 - y) D. (x.y) → (14x, 14y)
Answers
Answer:c
Step-by-step explanation:
Which equation is equivalent to 4 (x+3) -2 (-x-5)
Answers
4x+12+2x+10
Add like terms
6x+22
PLEASE HELP ME ASAP I REALLY NEED HELP!!!
Answers
1) \(\overline{UP}\)
2) \(\overline{UP} \cong \overline{UP}\)
3) \(\overline{UR}\)
4) \(\overline{PR}\)
5) \(\triangle OUP \cong \triangle RUP\) by SSS
6) CPCTC
Tyler poured 15 cups of water into 2 equal-sized bottles and filled each bottle. How much water was in each bottle?
i need to use a diagram
Answers
Answer:
7.5
Step-by-step explanation:
If there are 2 bottles and 15 cups then...
15 ÷ 2 = 7.5
He poured 7.5 cups of water in each bottle.
diagram?? maybe you could do this...
15 divided by 2=7.5
He poured 7.5 cups of water in each bottle
How many solutions does the system have? { � = 9 � − 5 � = 9 � + 6 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=9x−5 y=9x+6 Choose 1 answer: Choose 1 answer: (Choice A) Exactly one solution A Exactly one solution (Choice B) No solutions B No solutions (Choice C) Infinitely many solutions C Infinitely many solutions
Answers
Option (C) Infinitely many solutions