For which interval is the function constant? (−4,0) begin ordered pair negative 4 comma 0 end ordered pair (4,∞) left parenthesis 4 comma infinity right parenthesis (0,4) begin ordered pair 0 comma 4 end ordered pair (−∞,−4)
Answers
Answer: (-4, 0)
Step-by-step explanation: I just took the quiz and got it correct!
The function is constant on the intervals: (-4, 0), (4, ∞), and (0, 4). Within these intervals, the function's output remains the same for all values of x in each interval.
To determine the interval in which the function is constant, we need to examine the given ordered pairs (x, y) and check if the function's output (y-values) remains the same within that interval.
Let's analyze each interval:
1. (-4, 0): This interval represents all x-values greater than -4 and less than 0. In this interval, the function takes the value 0 for all x-values in the interval. Therefore, the function is constant (equal to 0) within this interval.
2. (4, ∞): This interval represents all x-values greater than 4. In this interval, the function's output is given as "∞" (infinity) for all x-values in the interval. The function is constant (equal to infinity) within this interval.
3. (0, 4): This interval represents all x-values greater than 0 and less than 4. In this interval, the function takes the value 4 for all x-values in the interval. Therefore, the function is constant (equal to 4) within this interval.
4. (-∞, -4): This interval represents all x-values less than -4. In this interval, the function's output is not specified or may not be constant. The information provided does not give us the exact function to determine the output for all x-values in this interval.
The function is constant on the intervals: (-4, 0), (4, ∞), and (0, 4). Within these intervals, the function's output remains the same for all values of x in each interval. However, we don't have enough information to determine if the function is constant on the interval (-∞, -4).
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Related Questions
HELP!!! An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of the box.
The amount of cardboard required to make one box is ___
square inches.
Answers
Answer:
130 in^2 net area
136 in^2 gross area (counting the 6 in^2 scrap loss for the side cutouts)
Step-by-step explanation:
top=1.5x4=6
middle=1.5x4=6
bottom=3x4=12
sides=(2x3x8)-(2x1.5x2)=42
front & back=2x8x4=64
6+6+12+42+64=130
The amount of cardboard required to make one box is 130 inch².
What is Area?The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.
From the figure we have
top = 1.5 x 4 = 6
and, middle = 1.5 x 4 =6
and, bottom = 3 x 4 = 12
So, the side is
= (2 x 3 x 8) - (2 x 1.5 x 2)
=42
and, For front and back
= 2 x 8 x 4
=64
Thus, the amount cardboard required
= 6+6+12+42+64
= 130 in²
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#5 Mr. Awesome & Mrs. Amazing had their students count how many pencils they each had in their pencil boxes. The box plots display the data for both classes. NUMBER OF PENCILS Mc. Awesome's Class Mrs Amazing's Class 앵 0 1 2 3 10 12 13 14 4 15 16 17 18 19 20 Which statement is best supported by the information in the box plots? A) The data for Mr. Awesome's class is more symmetrical than the data for Mrs. Amazing's class. B) The interquartile range of the data for Mr. Awesome's class is less than the interquartile range of the data for Mrs. Amazing's class. The median number of the data for Mr. Awesome's class is less than the median number of the data for Mrs. Awesome's class. D) The range of the data for Mc Awesome's class is less than the range of the data for Mrs. Amazing's class. Amazno Mihemetics
Answers
Danny charges $27 for 3 hours of swimming lessons, Martin charges $30 for 2 hours of swimming lessons. Who offers a better deal?
Answers
Which graph best represents the equation x + 5y = 25?
A.
B.
C.
D.
Answers
Answer:
b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Lunch costs $2.25 per day. An equation showing the relationship between
the number of days, d, and the total cost of lunch, c, is c = 2.25d What is
the dependent variable?*
d = the number of days
c = the total cost of lunch
What is the answer?
Answers
Answer:
The dependent variable is c
Step-by-step explanation:
The cost of lunch changes with each day, so the cost depends on the number of days
Answer:
i agree c is the total cost
Step-by-step explanation:
equation.
1. h - 9= 2h - 1
Answers
Add 9 to both sides
h-9+9=2h-1+9
h=2h+8
Subtract 2h from both sides
h-2h=2h+8-2h
-h=8
Divide both sides by-1
-h/-1=8/-1
h=-8 is your answer
In the somewhat less than towering ski slopes of northeastern Iowa new skiers come to learn to ski. On Big Bunny Slope skiers will fail to make the turn at Big Bend. On Little Bunny Slope, skiers will sometimes tumble at Little Hill. The ski instructors send the new skiers down the two slopes in groups of 30, wait a few moments, and then send the Ski Patrol Ambulance down after them, stopping at Big Bend and then Little Hill. The skiers descend the slopes far enough apart that they don't run into each other, so their spills are all independent.
Required:
a. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Big Bend is 0.35. If we define the random variable B = number of new skiers needing to be driven to the First Aid Station from Big
Bend, we can model this situation as a binomial chance experiment. What is the mean and standard deviation of B?
b. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Little Hill is 0.15. If we define the random variable L = number of new skiers needing to be driven to the First Aid Station from Little Hill, what is the mean and standard deviation of L?
Answers
Answer:
A. Mean = 10.5, standard deviation = 2.61247
B. Mean = 4.5, stand deviation = 1.955761
Step-by-step explanation:
Number in a group = 30
So n= 30
A.
It follows the binomial distribution
n = 30, probability p = 0.35
The mean = n*p
= 30x0.35
= 10.5
The standard deviation = √np(1-p)
= √10.5(1-0.35)
= √10.5(0.65)
= √6.825
= 2.61247
B. Probability of a new skier carried = 0.15
n = 30
Mean = n*p
= 30x0.15
= 4.5
The standard deviation = √np(1-p)
= √4.5(1-0.15)
= √4.5(0.85)
= √3.825
= 1.955761
DI
A rectangle measures x cm
by (x + 4)cm.What are the width and length of the rectangle?
Answers
Answer:
gggghgbvbbnc niutuyyttttt
Find the missing lengths or missing angles
Answers
Answer:
hj=6
because it's angle are equal and equilateral triangle have equal angles so, the length is 6
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell five cars; nineteen generally sell six cars; twelve generally sell seven cars; nine generally sell eight cars; eleven generally sell nine cars. Calculate the following. (Round your answer to two decimal places.)Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency
Answers
Answer:
Step-by-step explanation:
From the information given:
We can compute the required calculations into a table as shown below.
[tex]\mathbf{Data \ value }[/tex] [tex]\mathbf{ Frequency }[/tex] [tex]\mathbf{Relative \ frequency}[/tex] [tex]\mathbf{Cumulative \ relative }[/tex]
[tex]\mathbf{Frequency}[/tex]
5 14 14/65 = 0.22 14
6 19 19/65 = 0.29 19+14 = 33
7 12 12/65 = 0.19 33+12 = 45
8 9 9/65 = 0.14 45 + 9 = 54
9 11 11/65 = 0.17 54 + 11 = 65
65
Note: that the relative frequency is determined by dividing each value in the frequency by the total of the frequency.
HELPPPPPP MEEEE PLEASE AND THANK YOU ILL MARK YOU BRAINLIEST
Answers
it goes through both lines not just one.
Check your solution!
5 • x = 12
Answers
Answer:
x = 2.4
Step-by-step explanation:
isolate x \/
x=12/5
12/5 = 2.4
Answer:
i dun know wut u mean by check ur solution but I'll anyways solve it
x=12/5
x=2.4
I hope it helps
Anyone can help me with this
Answers
Given:
The data values are
11, 12, 10, 7, 9, 18
To find:
The median, lowest value, greatest value, lower quartile, upper quartile, interquartile range.
Solution:
We have,
11, 12, 10, 7, 9, 18
Arrange the data values in ascending order.
7, 9, 10, 11, 12, 18
Divide the data in two equal parts.
(7, 9, 10), (11, 12, 18)
Divide each parenthesis in 2 equal parts.
(7), 9, (10), (11), 12, (18)
Now,
Median = [tex]\dfrac{10+11}{2}[/tex]
= [tex]\dfrac{21}{2}[/tex]
= [tex]10.5[/tex]
Lowest value = 7
Greatest value = 18
Lower quartile = 9
Upper quartile = 12
Interquartile range (IQR) = Upper quartile - Lower quartile
= 12 - 9
= 3
Therefore, median is 10.5, lowest value is 7, greatest value is 18, lower quartile 9, upper quartile 12 and interquartile range is 3.
The price of stock in a software company drops by $42.60 over a 16-day period. On average, how much does it drop per day?
$2.66
$0.37
$26.60
$2.60
Answers
A Mater Exam
Q2 SA 1
4 Points
What is the slope of a line that is perpendicular to the line f(x) = 2x + 6? Justify your answer
by typing out your calculations or explaining your reasoning.
Enter your answer here
Please select file(s)
Select file(s)
Answers
Answer:
The slope of the perpendicular line to the line is
m = [tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given that the line y =f(x) = 2x +6
⇒ y = 2x +6
comparing y =mx +c
The slope of the given line m =2
Step(ii):-
The slope of the perpendicular line = [tex]\frac{-1}{m}[/tex]
The slope of the perpendicular line = [tex]\frac{-1}{2}[/tex]
Interest of 1 million dollars 23% and 6 years please solve and will give brainliest to correct answer
Answers
Answer:
$2,462,825.99 is the interest accrued
Step-by-step explanation:
hope this helps
What is the equation for the volume of a Cylinder? And a can of baked beans is 11cm by 3.5cm, a can of soda pop is 13cm by 4cm. What is the difference between the volume of the baked beans and the volume of the soda pop? Please explain using math vocabulary, and how you solved this problem.
Answers
Answer:
volume = (Pi)(r^2)(height)
57.5 cm^3 difference in volume
Step-by-step explanation:
Assuming that the 3.5 cm and the 4 cm are diameters of the cans:
The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.
The radius of the soda can is one-half of the diameter and that would be 2 cm.
The formula for the volume of a cylinder is Pi times the radius squared times the height. (Pi)(r^2)(height)
Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3
Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3
The soda can has more volume so:
163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.
I need help with geometry shapes
Answers
Answer:
What do you need though...
A basic rundown since I have no clue what you need help with
Parallelograms
(4 sided shapes that always adds up to 360 degrees if you add all the angles inside with opposite sides parallel)
Squares, rectangles (most common)
Triangles
3 sided figures with all the interior angles being added up equals to 180 degrees. The 3 sides of a triangle can be found with a^2+b^2=c^2.
The properties are 2 legs and 1 hypotenuse. To determine if its a triangle, if the 2 legs added up (two of the shortest sides) they must be greater then the hypotnuse (greatest side).
THese are the two of the most common shapes if you need an huything else just lemme know in the comments.
Find the area (in square inches) of the parallelogram.
Answers
Step-by-step explanation:
2 ft = 24 inch
3 ft = 36 inch
area of parellogram = base × height = 24 × 36 = 864 inches²MARK ME AS BRAINLISTPLZ FOLLOW MEJerry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all
which equation can be used to find m, the number of marbles still needed to fill
the jar
273
1,000
1,000
1,000 1 273 m
1.000
Done >
Answers
Answer:
I would say that the answer is 1000=273+m
Is parallelogram VWXY a rhombus?
Answers
Answer:
it is a a rhombus......... parallelogram is also called as a rhombus....
Which of these are prime numbers? Circle all that apply.
5 7 12 8 11 2 20 45
Answers
Answer:
2, 5, 7, 11
Step-by-step explanation:
Geometry question plz someone help me
Answers
Solve this systems of equations.
Will mark brainlest!
{4y + 7x =6}
{4y + 7x = -5}
Answers
Answer:
No solution
Step-by-step explanation:
The coefficient of x and y in both the equations are the same
That represents that both the lines are parallel
Hence no intersection is possible
this means that there is no solution possible
7x+y4=-5 hkkb
Which expression is equivalent to 4r2/514.3V5r8, if x=0?
A. 12 r105
B. 6018
C. 35r18
D.
710/5
Look at picture please
Answers
Step-by-step explanation:
I think it would be c if not D
The simplification of the given expression using laws of exponents is: 80x⁸
How to use laws of exponents?Some of the laws of exponents are:
- When multiplying by like bases, keep the same bases and add exponents.
- When raising a base to a power of another, keep the same base and multiply by the exponent.
- If dividing by equal bases, keep the same base and subtract the denominator exponent from the numerator exponent.
The expression we want to solve is given as:
4x²√(5x⁴) * 3√(5x⁸)
Using the concept of laws of exponents, this simplifies as:
4x² * x² * 3x⁴ * 5
= 80x⁸
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5 less than twice the length equals 11 as an algebraic equation
Answers
Answer: 2*L - 5 = 11
Step-by-step explanation:
Suppose that we have a rectangle with length L and width W.
Now we know that:
" 5 less than twice the length equals 11"
Then we get:
"twice the length" is written as 2*L
5 less than that is:
2*L - 5
And this is equal to 11, then:
2*L - 5 = 11
This is the algebraic equation we wanted to find,
5 more than the product of a number and 4 is equal to 3 use variable y for unknown number
Answers
Answer:
[tex](y + 4) + 5 = 3 \\ y + 9 = 3 \\ y = - 6 \\ [/tex]
I'm not sure
242m/min express this in km/h
Answers
Answer:
14.52 km/h
Step-by-step explanation:
Please see the picture attached.
I hope this helps!
please help Use the expression 8a + 16c.
Part A
Factor the expression using the GCF.
A. 2(4a + 8c)
B. 4(2a + 4c)
C. 8(a + 2c)
D. 16(12a + c)
Part B
What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.
Answers
Answer:
C 89a + 2c)
Step-by-step explanation:
The largest factor of both 8 and 16 is 8. So, 8 = GCF
factor out an 8 and you get 8(a + 2c)
To check if you are correct, multiply and see if you get what you started with.
Answer
Step-by-step explanation: your answer would be -42 so heres how i did it: Evaluate for a=−5,c=−1
(8)(−5)+(2)(−1)
(8)(−5)+(2)(−1)
=−42
Which numbers make a true statement when placed in the box?
11.436 > 0
Select each correct answer.
11.422
11.484
11.621
11.286
o
Please help