Below are graphs of several functions. Which functions have the specified
domain and range? There may be more than one correct answer.
Domain: (x | x ≥ 3/2)
Range: (-00, 2)
Note: Be sure to select ALL correct answers.
B
Answers
For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.
What do you mean by function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
What are domain and range of the function?A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.
domain : (x | x [tex]\geq[/tex] 3/2)
range : (-∞ , 2)
For these values, Option B , C and E holds that they exists when x [tex]\geq[/tex] 3/2 and it's output that is y exists between (-∞ , 2).
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Related Questions
M/5 + 9=11
Solve two step equations
Answers
Answer:
m=10
Step-by-step explanation:
m/5+9=11 subtract 9
m/5 = 2 multiply 5 by both sides
m = 10
d. Describe the relationship between the 9s in Ithaca's average annual rainfall?
Answers
Precipitation (inches), 2.08, 1.98, 2.64, 3.29; Snowfall (inches), 17.6, 14.2, 11.7, 3.4; The Ithaca Climate Page.
What is the relationship between the patterns in rainfall and temperature?Increased evaporation as a result of rising average temperatures at the Earth's surface leads to more precipitation overall. As a result, many places might expect more precipitation as a result of a hotter environment.Moving from the equator toward the poles results in less precipitation. Because temperature impacts how much moisture air can contain, precipitation often decreases with increasing latitude, with higher precipitation typically occurring at lower latitudes.There is a larger than 28% chance of rain on any given day during the wetter season, which lasts for 6.4 months from April 2 to October 14.June is the month in Ithaca with the most rainy days, with an average of 11.3 days with at least 0.04 inches of precipitation. From October 14 to April 2, the dry season lasts 5.6 months.Tho learn more about Ithaca climate refer to :
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Your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost. How much did the shoes cost? Write and solve an equation, let s represent the cost of the shoes.
Answers
The equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost.
Let s represent the cost of the shoes.
Now, equation is
8% of s=10
8/100 ×s=10
0.08s=10
s=10/0.08
s=$125
Therefore, the equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.
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if a tree is 105 metres tall in real life what would be the height of the diagram of the tree if the scale was 1: 1000
Answers
Answer:
1.05
Step-by-step explanation:
it is 105 divided by 1000
Answer:
0.105 metres
Step-by-step explanation:
105 divided by 1000
2) Out of the 976 potatoes in the storeroom, 61 are rotten. What percentage of
the potatoes are rotten?
Answers
Answer:
The answer is 6.25%
Step-by-step explanation:
Given;Out of the 976 potatoes in the storeroom, 61 are rotten.So,
(61 ÷ 976) × 100%
0.0625 × 100% = 6.25%
Thus, 6.25% of potatoes are rotten.
Step-by-step explanation:
% of potatoes rotten = 61/976 × 100
=> 6100/976
=> 6.25%
Translate the sentence into an equation.
Five times the sum of a number and 9 equals 3.
Use the variable y for the unknown number.
Answers
Answer: To translate the given sentence into an equation, we can start by replacing the words "five times the sum" with the mathematical expression "5(x + 9)". Then, we can replace the word "number" with the variable y, to get:
5(y + 9) = 3
Next, we can distribute the 5 to obtain:
5y + 45 = 3
Finally, we can subtract 45 from both sides to solve for y:
5y = -42
y = -42/5
y = -8.4
Therefore, the equation that represents the given sentence is y = -8.4.
Step-by-step explanation:
Ms.Metz had her students estimate the length and width of a math book. Dana's estimate was 40cm by 20cm. The book measured 24cm by 16cm. How far off was her estimate?
Answers
Dana's estimated length was 66.67% far off the actual length and her estimated width was 25% far off the actual width.
What is percent error?Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.
Percent Error Formula
The formula for percent error is:
PE = (|Estimated value-Actual value|/ Actual value) × 100
Given,
Actual length of the book = 24 cm
Actual width of the book = 16 cm
Dana's estimated length of the book = 40 cm
Dana's estimated width of the book = 20 cm
Error in measurement of length of the book =
(Measured Length - Actual Length/Actual length) × 100
= (40 - 24/24) ×100 = 66.67%
Error in measurement of width of the book =
(Measured width - Actual width/Actual width) × 100
= (20 - 16 / 16) × 100 = 25%
Hence, Dana's estimated length and breadth was 66.67% and 25% far off the actual length and width of the book respectively.
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each minute your heart pumps 1.5 gallons of blood around your body. How many pints of blood will your heart pump in a day?
Answers
The heart pumps around 17280 pints of blood in a day.
To find out how many pints of blood your heart pumps in a day, we need to determine the total volume of blood that your heart pumps in one day.
We know that your heart pumps 1.5 gallons of blood per minute. To find out how much blood your heart pumps in one day, we need to multiply that amount by the number of minutes in a day.
1 day = 24 hours
1 hour = 60 minutes
So, the number of minutes in one day is 24 hours x 60 minutes = 1440 minutes
Now, we can use this information to find out how many gallons of blood your heart pumps in a day.
Gallons of blood pumped per day = 1.5 gallons/minute x 1440 minutes/day
= 2160 gallons
1 gallon = 8 pints
So the number of pints of blood that your heart pumps in a day = 2160 gallons × 8 pints/gallon = 17280 pints.
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your heart pumps 2000 gallons of blood around your body each day.
if your body pumps around 1.5 gallons of blood each minute then a day is 24 hours so yu do that x together which is 20 but as its hours you do it for 2000 and just incase yu need some more info
(1.5 imperial gallons) x 24 hours = 589.173508 m3 s
SORRY IF THIS DONT ALL MAKE SO MUCH SENSE
Carmen and her dog, Duke, walk 5 blocks in 8 minutes. Terell and his dog, Lady, walk 8 blocks in 12 minutes. Who walks at a slower rate? How long whould it take that person to walk 12 block?
Answers
Carmen and her dog, Duke walked at a slower rate at 0.625 blocks/min
Carmen and her dog, Duke would take 19.2 minutes to work 12 blocks.
What is rate?In math, a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.
Carmen/Duke walks 5/8 = 0.625
Terell/Lady walks 8/12 = 0.677
Therefore, from the average time, Carmen and Duke walk slower.
Carmen and Duke will walk 12 blocks in;
= 12/0.625
= 19.2 minutes
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y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost for rear crash repair cost for a certain models sedan use the equation to predict the full rear repair cost from a full front repair cost of $4594
Answers
Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.
What is line of regression?When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.
What is scalar?Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.
To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.
y = 2060 - 0.186(4594)
y = 2060 - 848.424
y = 1211.576
So the predicted full rear repair cost would be $1211.576
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Answer:
$1,206
Step-by-step explanation:
During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes. Based on this relative frequency, how many pars or better could he be expected to make on the remaining 150 holes? Round to the nearest whole number if necessary.
70 pars or better
60 pars or better
65 pars or better
53 pars or better
Answers
Dirk will make 70 pars or better.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes.
Out of 90 holes, Dirk made par or better on 42 holes.
At this rate, Out of 1 hole, Dirk made par or better on (42/90) holes.
Then, Out of 150 holes, Dirk will make par or better on -
(42/90 x 150) holes
(42/90 x 150)
70
Therefore, Dirk will make 70 pars or better.
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(HELP ASAP!)
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?
Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625
Answers
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
In baseball, each time a player attempts to hit the ball, it is recorded.
The ratio of hits compared to total attempts is their batting average.
Each player on the team wants to have the highest batting average to help their team the most.
For the season so far,
Jana has hit the ball 7 times out of 10 attempts.
Tasha has hit the ball 10 times out of 16 attempts.
To find the ratio of batting average:
We must find the same number of attempts.
So,
Jana has ratio 7/10.
So, 56 /80 = 0.7
Tasha has ratio 10/16.
So, 50 / 80 = 0.625
Therefore, Jana has the highest batting average.
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Lenore rounds each factor to the nearest ten to estimate the product of 51 times 37 as 1,500.is Lenore’s estimate reasonable?Explain.
Answers
Answer:
yes
Step-by-step explanation:
51 to nearest ten is 50
37 to nearest ten is 40
50 * 40 = 2000
and it's an estimate so yes
A bill of $3400 was paid with $20 notes and $100 notes. Ninety notes were used. How many $20 notes were used?
Answers
Answer:
70
Step-by-step explanation:
for every 5 $20 notes is $100 70 notes is $1400 and the other 20 is $2000 which makes 3400
when a positive integer was multiplied by each of its digits, the product was 1995. Find the original number.
Answers
Answer:
57
Step-by-step explanation:
You want a positive number that gives a product of 1995 when it is multiplied by each of its digits.
NumberThe prime factors of 1995 are 3, 5, 7, 19. The product of 3 and 19 gives 57, so multiplying 57 by 5 and 7 will result in the product 1995.
The original number is 57.
<95141404393>
a wall is 50cmx50cm how many 2cmx1cm tiles would you need to fill it
Answers
Answer: 1250
Step-by-step explanation: 50 x 50 = 2,500
2,500 divided by 2 is 1250
PLEASE BE FAST
Find the constant of proportionality for the proportional relationship shown in the graph.
graph of a line going through 0 comma 0 and one half comma 5
p = 10
p = 5
p = 0.5
p = 0.1
Answers
The constant of proportionality is 10 for the proportional relationship shown in the graph.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The proportional relationship is shown in the given graph.
As per the given graph, we take two points (1, 10) and (2, 20)
So, the constant of proportionality will be as:
⇒ (20 - 10)/(2-1)
⇒ 10/1
⇒ 10
Hence, the correct answer would be option (A).
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find the mean in the picture
Answers
Find the length of the model in the picture!!!Then find the scale factor.The length of an actual bird is shown on the picture.
Answers
We calculated length of model bird in the picture = 2 ¹⁵₁₆ inch and scale factor =1/2
what is scale factor?
It is expressed as the ratio of the dimension of a model object and dimension of an actual object.
A scale factor is a number which is multiplied by an object in order to form a proportional enlarged or reduced object.
What is the length of the model in the picture?Given, the length of an actual bird = 5⁷₈ inch = 47/8 inch
also given, 1 inch = 0.5 inch
1 inch = 1/2 inch
we need to determine the length of model bird by multiplying the above factor.
now, length of model bird = 47/8 × 0.5 inch = 47/16 inch = 2¹⁵₁₆ inch
scale factor = length of model bird/ length of actual bird = 47/16 /47/8
scale factor = 1/2
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Helpp!! Solve the system by graphing.
Answers
Step by step
y = 2x +2
y = 2x -2
these two equations have the same slope (2) with different y intercepts (2 and -2) so they are parallel lines. Since the lines are parallel, the pair of equations have no solution.
in a company, 60% of workers are women. if 800 people work on the company who aren't women, how many workers are there in all? use pencil and paper. show two different ways that you can solve this problem. how many workers in all?
Answers
Answer:
2000 workers
Step-by-step explanation:
All the workers: 100%
Women: 60%
Others: 40% = 800 workers
=> 1% of the workers: 800/40 = 20 workers
=> 100% = 20 x 100 = 2000 workers
(I can't think of another one)
A students wants to write an expression for, all of the elements which are not in set A. Which expression below matches the statement A. NA (B) B (C) -A (D) A’
Answers
The expression A' represents the statement for all of the elements which are not in set A.
What is Set?A set is a collection of well defined objects.
Given that A students wants to write an expression for all of the elements which are not in set A.
The elements within set A are denoted by A.
We have to find all of the elements which are not in set A.
U represents the universal set and A is the given set.
A'=U-A
Hence, the expression A' represents the statement for all of the elements which are not in set A.
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Helpp!! I’m stuck on this!!
Answers
graph one = (-3, -1) see attached graph
Graph two = (1, -2) see attached graph
9+2+4+6+123=?
please help
Answers
Answer:
144
Step-by-step explanation:
9+2+4+6+123=
11+10+123
21+123
144
can someone help me please
Answers
Answer:
Step-by-step explanation:
-1 +2=1
2+2=4
5+1=6
why is 2^3x 5^4x 9^4 not a prime factorization? what is the prime factorization of the number?
Answers
The prime factorization of the number can be obtained by setting the variables x to specific values. For example, if we set x = 2, the number becomes 2^6 5^8 9^8, which can be further factored as 2^2 x 3^6 x 5^8 x 7^8. If we set x = 3, the number becomes 2^9 5^12 9^12, which can be further factored as 2^3 x 3^9 x 5^12 x 7^12.
So the prime factorization of the number depends on the value of the variable x. Without knowing the value of x, it is not possible to determine the exact prime factorization of the number.
: 1/2 Log10 25/4 - 2 log10 4/5 + log10 320/125
Answers
To simplify this expression, you can first simplify the logarithms by using the properties of logarithms and the simplified expression is -0.00195
What is logarithm?A logarithm is a mathematical function that is used to determine the power to which a number must be raised in order to produce a certain value. The logarithm of a number "b" to base "a" is represented as loga(b) or logb. The logarithm of b to base a is equal to the exponent to which we must raise a to get b.
[tex]1/2 Log10 25/4 - 2 log10 4/5 + log10 320/125[/tex]
To simplify this expression, you can first simplify the logarithms by using the properties of logarithms.
[tex]1/2 log10 25/4 - 2 log10 4/5 + log10 320/125[/tex]
=[tex]1/2( log10 25 - log10 4) - 2 (log10 4 - log10 5) + (log10 320 - log10 125)[/tex]
= 1/2(1.397940008672037 - 0.6020599913279624) - 2*(-0.6020599913279624 - 0.6989700043360187) + (2.505149978319906 - 2.0969100130080566)
= 0.397940008672037 - 1.204120018655925 - 1.397940008672037 + 0.40825006983185
= -0.2 - 0.2062 + 0.40825
= -0.00195
So the simplified expression is -0.00195
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Complete question is: simplify the given equation: 1/2 Log10 25/4 - 2 log10 4/5 + log10 320/125
Hey guys! I need some help
Answers
Answer:
D
Step-by-step explanation:
8x+12y-2y+3x=11x+10y
Answer:
answer D
Step-by-step explanation:
8x+12y-2y+3x
11x+ 10y
Mr. Poppen joins a fitness club which has a cost represented by the function y = 10x + 70. Mrs. Zagorski joins a fitness club which has a cost represented by the function given by the ordered pairs: (0, 50), (1, 60), (2, 70), (3, 80). Who pays more initially, just to join the club?
Answers
Using the given function and the ordered pairs, we observed that Mr. Poppen pays more initially, to join the club
Calculating the initial costFrom the question, we are to determine who pays more initially to join the club between Mr. Poppen and Mrs. Zagorski
From the given information,
"Mr. Poppen joins a fitness club which has a cost represented by the function y = 10x + 70"
The initial amount paid by Mr. Poppen is the value of y when x is 0
y = 10x + 70
y = 10(0) + 70
y = 0 + 70
y = 70
From the given ordered pairs
(0, 50)
(1, 60)
(2, 70)
(3, 80)
We can conclude that the initial amount paid by Mrs. Zagorski is 50
Hence, Mr. Poppen pays more initially
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consider the trinomial 15x² - 34x - 16.
List all the factor pairs for -240.
Answers
Answer: To find the factor pairs for -240, we can use the following steps:
Find the prime factorization of -240: -240 = (-2) * (-2) * (-2) * (-3) * (-5)
For each prime factor, there are two possible factor pairs: (-1) and (1), and (-n) and (n). For example, for the factor -2, the possible factor pairs are (-1) and (1), and (-2) and (2).
The factor pairs for -240 are: (-1) and (1), (-2) and (2), (-3) and (3), (-5) and (5), (-6) and (6), (-10) and (10), (-15) and (15), (-30) and (30).
Thus, the factor pairs for -240 are: (-1, 1), (-2, 2), (-3, 3), (-5, 5), (-6, 6), (-10, 10), (-15, 15), and (-30, 30).
Step-by-step explanation: