Which function has a domain of (-1, ∞) and a range of (-∞, ∞)?
O A. f(x) = log₂x - 1
OB. f(x) = log₂ (x-1)
C. f(x) = log₂(x + 1
D f(x) = log₂ x+ 1
The two essential characteristics of functions are domain and range. Function has a domain of (-1, ∞) and a range of (-∞, ∞), f(x) = log₂x - 1.
What is domain and range?Mathematical procedures are comparable to those of a soda vending machine. You can choose from a variety of sodas after you deposit a particular sum of money. Similar to how we enter different numbers into functions, we also receive new numbers as the outcome. The two essential characteristics of functions are domain and range.
A soda can be purchased using quarters and one dollar bills. If pennies are put into the machine, no soda flavor will be provided. As a result, domain depicts the possible inputs, which are quarters and one-dollar bills. No matter how much you pay, a Coke machine won't give you a cheeseburger. As a result, range refers to potential outputs, or in this case, soda tastes in machine. Let's discover how to graph and determine domain and range of a given function.
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Type the correct answer in the box. If necessary, use / for the fraction bar. Give your answer in reduced form.
A card is drawn at a random from a well-shuffled deck of playing cards. The probability that the card drawn is an ace or a red card is
Answer:
37.5% chance
Step-by-step explanation:
well if there are 52 card in a deck and 4 aces.
the probability that it will be red is 50%. As half of the cards are red and the other half is black. the probablility it wil be an ace is 25%. so finding the middle of those would be 37.5%
Answer:
It says an ace or a red card. Red cards have a 50% chance plus 2 black ace cards 26 cards is half red plus 2 28/52 Answer Reduces to: 7/13
Step-by-step explanation:
HELP PLEASE DUE IN 3 MINUTES
Answer: I think 149.
Step-by-step explanation:
I consider mean as main, so like the first one the author says. Correct me if I’m wrong.
Angela, the head of the office party planning committee, sent two coworkers, Kevin and Dwight, to the party store to purchase party hats and party whistles. Kevin purchased four packs of party hats and three packs of party whistles, and paid a total of $15.53. Dwight purchased three packs of party hats and four packs of party whistles, and paid a total of $13.73. When they returned to the office, Angela informed them that they were supposed to buy a total of four packs of party hats and four packs of party whistles and sent them back to the store to straighten things out. How much should they be refunded?
Find the value of x in each triangle. . X= 60° 60° x°
Answer:
60 degrees
Step-by-step explanation:
Triangle = 180 degrees
60+60+X=180
120+X=180
X=60
O
Helpbodkdjdjdjjdjdhdhelp
Answer:
B
Step-by-step explanation:
A constant rate of change refers to a pattern/slope that is unchanging. On a graph, these rate of changes are usually represented by a straight line, and B is the only graph in the question with such a line.
I need help with this problem
Answer:
X=13
Step-by-step explanation:
So if ΔABC ≅ ΔDEC, then that means that ∠B is ≅ ∠E. Therefore you would write the equation 3x=6x-39 and solve for X to get 13.
PLS HELP I WILL GIVE 100 PTSSSSSSSSSSSSSSSSSSSS fool answers get reported good answers get brainiest
C) 36 yards 18*6=108
108ft to yards is 36
Answer:C
Step-by-step explanation:
Each jump rope is 6 feet long, so 18 jump ropes would require a total of:
18 x 6 = 108 feet of rope
Since there are 3 feet in a yard, we can convert 108 feet to yards by dividing by 3:
108 ÷ 3 = 36 yards
Therefore, the football coach should buy 36 yards of rope. The answer is (C).
In addition to finding confidence intervals for population parameters, another type of inferential statistics is a test of significance, also known as: a critical value testing b margin of error calculation c hypothesis testing d level of significance testing e none of the above
In addition to finding confidence intervals for population parameters, another type of inferential statistics is a test of significance, also known as hypothesis testing.
What is hypothesis testing?Hypothesis testing is a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or a population probability distribution.
This assumption is called the null hypothesis and is denoted by \(\text{H}_{\text{o}}\). An alternative hypothesis (denoted \(\text{H}_{\text{a}}\)), which is the opposite of what is stated in the null hypothesis, is then defined. The hypothesis-testing procedure involves using sample data to determine whether or not \(\text{H}_{\text{o}}\) can be rejected. If \(\text{H}_{\text{o}}\) is rejected, the statistical conclusion is that the alternative hypothesis \(\text{H}_{\text{a}}\) is true.
Hence, another type of inferential statistics is a test of significance, also known as hypothesis testing.
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Bear Valley already had 4 centimeters of snowcover when a snowstorm moved in. The storm
is increasing the amount of snowcover by 2 centimeters per hour.
Write an equation that shows the relationship between the number of hours it has been
snowing, x, and the total snowcover in centimeters, y.
y =
The linear equation that shows the relationship between the number of hours it has been snowing, x, and the total snow cover in centimeters, y is given by:
y = 2x + 4
What is a linear function?A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of a function.In this problem:
Bear Valley already had 4 centimeters of snow cover when a snowstorm moved in, hence b = 4.The storm is increasing the amount of snow cover by 2 centimeters per hour, hence m = 2.Thus, the equation is:
y = 2x + 4
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What is the answer to 3y+6=12
Answer:
y=4
Step-by-step explanation:
2 of 6
Brian and Colin are marking exam papers.
Each set takes Brian 43 minutes and Colin
1 hour. Express the times Brian and Colin
take as a ratio in its simplest form.
Step-by-step explanation:
Brian takes = 43 minutes
Colin takes = 1 hour = 60 minutes
In ratio,
43/60
Miranda Charged $4.00 For 5 Brownies. Give The Unit Rate For How Much Per Brownie
Answer:
Step-by-step explanation:
well i think you have to do: \(\frac{4}{5}\) = \(\frac{0.8}{1}\) and that's the unit rate.
But plz check it i'm not sure if its right!!!
i hope it help:3
What is the domain of the step function f(x) = [2x]- 1?
O {x|x2-1}
O {x|x ≥ 1}
O x x is an integer}
O {x|x is a real number}
Domain: {x | x is a real number}
Option D, "{x | x is a real number}" accurately represents the domain of the function.
The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.
In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.
For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:
Domain: {x | x is a real number}
Option D, "{x | x is a real number}" accurately represents the domain of the function.
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AREA OF CIRXLES HELP PLS
Answer:
A = 147 cm²
Step-by-step explanation:
A = πr²
A = (3)(7)²
A = 3(49)
A = 147 cm²
Hope this helps!
The store pays $46 for a pair of shoes. The markup is 25%. What is the selling price?
Answer:
34.50 dollars
becuase if you add the percentage to the price it equals that
Answer:
just add the numbers
Step-by-step explanation:
Help please hurry too!!!!
Answer:
false
Step-by-step explanation:
Which statement is true regarding the functions of the graph?
• f(6) = g(3)
• f(3) = g(3)
• f(3) = g(6)
• f(6) = g(6)
Answer:
Its B
Step-by-step explanation:
I took the test
Martha, Alison, and Scott buy 3.8 pounds of clay. Martha used of the clay for a sculpture. Scott used of the the remaining amount of clay to make a mug, and Alison used 1.2 pounds of clay to make a bowl. How many pounds of clay are they left with? A. 3.29 B. 0.51 C. 0.13 D. 3.67
The amount of pounds of clay left is given by the equation A = 0.51 pounds
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total amount of pounds of clay = 3.8 pounds
Now , the amount of clay used by Martha = ( 1/4 ) of the total
So , the amount of clay used by Martha = ( 1/4 ) x 3.8 = 0.95 pounds
And , the remaining amount of clay = 3.8 - 0.95 = 2.85 pounds
Now , the amount of clay used by Scott = ( 2/5 ) of the remaining
So , the amount of clay used by Scott = ( 2/5 ) x 2.85 = 1.14 pounds
And , the remaining amount of clay = 2.85 - 1.14 = 1.71 pounds
On simplifying the equation , we get
Now , the amount of clay used by Alison = 1.2 pounds
So , the remaining amount of clay = 1.71 - 1.2 = 0.51 pounds
Hence , the remaining amount of clay = 0.51 pounds
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For event a and b p(a)=2/5p(b)=3/8 and p(a∩b)=1/6. Are A and B independent event?
No, A and B are not independent events.
Two events are independent if the probability of one event does not affect the probability of the other event. Independent events have a probability of the intersection of the two events being equal to the product of the individual probabilities.
We can test for independence using the following formula:
P(A ∩ B) = P(A) * P(B)
In this case, we have:
P(A ∩ B) = 1/6
\(P(A) * P(B) = (2/5) * (3/8) = 3/20\)
Since P(A ∩ B) ≠ P(A) * P(B), A and B are not independent events. The probability of the intersection of A and B does not equal the product of the individual probabilities, A and B are not independent events.
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standard form: all exponets are ___________numbers & it is written in __________ order -5x^7+4x^2+3x-2
What is the Lcm of 88 and 90
Answer:
The LCM of 88 and 90 is 3960.
Answer:
By the Euclidean algorithm, \(\gcd(88, 90) = \gcd(88, 2) = \gcd(0, 2) = 2\). Therefore, \(\text{lcm}(88,90) = \frac{88 \cdot 90}{\gcd(88, 90)} = \frac{88 \cdot 90}{2} = \boxed{3960}.\)
Two shops sell the same brand of baked beans but in different sizes of tin.
Calculate the price of 1 kg of baked beans for each shop.
Give your answers in pence.
Write the shop which is better value in the comment box.
Shop A
Shop B
BAKED
BEANS
BAKED
BEANS
5kg for £5.75
2kg for £2.12
Answer:
Step-by-step explanation:
shop a=115p
shop b=106p
shop b better value as its cheaper
Hello can anyone answer this for me please ? I will give brainliest
Answer:
Your answer will be A have a good day :)
Step-by-step explanation:
A - 1 = 1 and B is 1
Need help with some math
Answer:
A
Step-by-step explanation:
Desnity: mass/volume
3/20= .15
in+the+united+states,+nearly+all+18-+to+29-years+olds+(89%)+agreed+with+the+statement+__________.
If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by q→p?
O the original conditional statement
O the inverse of the original conditional statement
O the converse of the original conditional statement
O the contrapositive of the original conditional statement
Answer:
(c) the converse of the original conditional statement
Step-by-step explanation:
If a conditional statement is described by p→q, you want to know what is represented by q→p.
Conditional variationsFor the conditional p→q, the variations are ...
converse: q→pinverse: p'→q'contrapositive: q'→p'As you can see from this list, ...
the converse of the original conditional statement is represented by q→p, matching choice C.
__
Additional comment
If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.
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Tom walks 3.14 km to the park. He then walks a further 670 m to the shop.
How many km has Tom walked in total?
Answer:
3.81 km
Step-by-step explanation:
You first have to get the meters into kilometers. The conversion rate for this is 1 meter = 0.001 kilometer.
So multiply 670 by 0.001 which gives you 0.67.
Then add this to the amount he has already walked to get the total amount of kilometers he has walked.
Answer:
3.81 or
\(3 \frac{81}{100} \)
Step-by-step explanation:
explanation above
Can someone help me with all of these
Answer:
AnswerVirefid
Step-by-step explanation:
y=6x
2x-7y=40
solve by system of subtration
The solution to the system of equations is x = -1, y = -6.
What is a system of equations?
A system of equations is a set of two or more equations that are to be solved together, where the solutions must satisfy all the equations in the system. A system of equations can involve one or more variables and can be expressed in different forms, such as linear equations, quadratic equations, or any other type of equations.
The goal of solving a system of equations is to find the values of the variables that satisfy all of the equations in the system. Depending on the type and complexity of the equations, there are different methods that can be used to solve the system, such as substitution, elimination, or matrix methods.
For example, a system of two linear equations with two variables x and y can be written in the form:
a₁x + b₁y = c₁
a₂x + b₂y = c₂
where a₁, b₁, c₁, a₂, b₂, and c₂ are constants. To solve this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
Systems of equations can arise in various contexts, including in mathematics, physics, engineering, economics, and other fields. They are used to model and solve a wide range of problems that involve multiple variables and constraints.
To solve the system of equations by the method of subtraction, we need to eliminate one of the variables (x or y) by subtracting one equation from the other.
Given the system of equations:
Y=6x
2x-7y=40
We can use the first equation to express y in terms of x:
y = 6x
Substituting this expression into the second equation, we get:
2x - 7(6x) = 40
Simplifying and solving for x, we get:
2x - 42x = 40
-40x = 40
x = -1
Now that we have found the value of x, we can substitute it back into either equation to find the value of y. Using the first equation:
y = 6x = 6(-1) = -6
Therefore, the solution to the system of equations is x = -1, y = -6.
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