Answer to this question is:
Domain of given function is (-∞,-1)∪(-1,0)∪(0,∞),{x|x≠0,-1}
Range of given function is (-∞,0)∪(0,∞),{y|y≠0}
Inverse of given function does not exist
The domain is all values of x that make the expression defined.The entire range of independent variable values is the domain of a function.
This definition can be stated simply as follows: The domain is the collection of all x-values that can be used to make the function "work" and produce actual y-values.
When choosing the domain, keep in mind that a fraction's denominator (bottom) cannot be 0.
Interval Notation:(-∞,-1)∪(-1,0)∪(0,∞)
Set-Builder Notation:{x|x≠0,-1}
The set of all valid y values constitutes the range..Graph may be used to find the values.
Interval Notation:(-∞,0)∪(0,∞)
Set-Builder Notation:{y|y≠0}
For calculation of inverse:
There is no inverse for any function that is not strictly monotonic. Whenever the first derivative of a function is ALWAYS zero, positive, or ALWAYS negative, the function is said to be monotonic. Basically, a function does not have an inverse function if there are two inputs for which the output is the same.
∴Domain of given function is (-∞,-1)∪(-1,0)∪(0,∞),{x|x≠0,-1}
Range of given function is (-∞,0)∪(0,∞),{y|y≠0}
Inverse of given function does not exist.
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Find each product or quotient. √x³ / √5 x²
The quotient of √x ³ / √5 x ² is √ ( x / 5 )
To find : the product of √x ³ / √5 x ²
By checking the power of roots for each term
The terms which are given are √x ³ and √5 x ²
Since both the numbers have the same root power they can be combined under the same square root for further operation
Dividing the terms
=> √ ( x ³ / 5 x ² )
=> √ ( x / 5 )
Therefore, we get the quotient of √x ³ / √5 x ² as √ ( x / 5 ).
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Hello... HELP PLEASE
worth 20 pts and brainliest :)))
(science)
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
For a given atom, net charge can be determined by looking at how many protons the atom has in its nucleus and how many electrons it has surrounding its nucleus.
More specifically, the atom will have
a positive net charge if it has more protons in its nucleus than electrons surrounding its nucleus
a negative net charge if it has more electrons surrounding its nucleus than protons in its nucleus
no net charge if it has equal numbers of protons and electrons
When an atom carries a positive net charge, it forms a cation, or positively charged ion. Likewise, when an atom carries a negative net charge, it forms an anion, or negatively charged ion.
In your case, the atom is said to contain
eight protons
nine neutrons → they do not influence the net charge of the atom
ten electrons
Now, electrons and protons carry opposite charges. A proton is said to carry a 1+ charge, while an electron is said to carry a 1−.
In your case, you have 8 protons and 10 electrons. This means that the atom will carry a total
2×(1−)=2−
net charge.
Therefore, you are dealing with an anion that carries a 2− net charge, i.e. it has two more electrons than it does protons.
The grid above shows the graph of the parent function f (x) = |x| and a translated functions graph.
Write the equation for the translated graph.
The equation of the graph that is obtained by translating the parent function is as follows:
g(x) = |x + 2| + 1
How to write the equation of the translated graph?The parent function is given as
f(x)= |x|
The following is a translation of the parent function f(x), which may be derived from the graph as follows:
2 units left translation
1 unit up translation
The translation of the sequence mentioned above is expressed as
(x, y) = (x + 2, y + 1)
So, we have
g(x) = |x + 2| + 1
Therefore, the equation of the graph that has been translated is g(x) = |x + 2| + 1
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Determine whether each statement is always, sometimes, or never true.
ln t=log e t
ln (t) = [tex]log_e(t)[/tex] is always true, by the definition of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm. This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Now,
According to the definition of logarithm, we can see that it is the normal logarithm or log function with the value of base being 'e', i.e., [tex]log_e(t)[/tex].The representation of natural logarithm is ln (t).Hence, ln (t) = [tex]log_e(t)[/tex] is always true, by the definition of logarithm.
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Last year Keisha paid $765 in taxes while working a part-time job and going to school. Now she's working full-time, she was shocked to find their taxes jumped 612% how much does Keisha pay taxes now
Answer:
Step-by-step explanation:
Formula: Amount of taxes part time x 1+(amount jumped)
Therefore just do : 765 x 7.12 = $5446.80
Please help me out please please please
Answer:
Step-by-step explanation:
11. Areas as Sum: 7d+28
Areas as Product: 7(d+4)
12. Areas as Sum: [tex]y^{2}[/tex]+3y
Areas as Product: y (y+3)
Answer:
Step-by-step explanation:
Using the distributive property, you would multiply 7(d+4) for the question after the example. The side length is your root, and you are multiplying the numbers after it by that root.
PLEASE HELP!! WILL GIVE BRANLIEST!!
The Smiths and the Martins are going to Brooklyn Pizza for dinner. The Smiths order 3 slices of pizza and 3 sodas and have a bill that totals $15. The Martins order 4 slices of pizza and 3 sodas and have a bill that totals $18. What is the cost of one slice of pizza?
Answer:
2.5
Step-by-step explanation:
15/6 (3p + 3s) = 2.5
18/7 (4p + 3s) = 2.5
Write an equation of the line that passes through each pair of points (9, 4), (−1, −1)
[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{9}}} \implies \cfrac{ -5 }{ -10 }\implies \cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{9}) \\\\\\ y-4=\cfrac{1}{2}x-\cfrac{9}{2}\implies y=\cfrac{1}{2}x-\cfrac{9}{2}+4\implies y=\cfrac{1}{2}x-\cfrac{1}{2}[/tex]
All the info you need to answer the questions are in the photo answer A and B. Giving brainliest . Answer asap!!
Answer: Solution is where the x intercepts on the graph
Step-by-step explanation:
solve for x. x - 16 = -20
PLEASE HELPP
Answer:
x = -4
Step-by-step explanation:
x - 16 = -20
16 is being subtracted from x. To get x alone, you need to add 16 to x - 16.
We must do the same to both sides of an equation, so we add 16 to both sides of the equation.
x - 16 + 16 = -20 + 16
x = -4
Least common dinaminator
sa paanong paraan nagiging instrumento
Answer:
Steps below
Step-by-step explanation:
a/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcda/b+c/d=a/bc+c/bd=abd+c/bcd
Answer the question in photo
[ Brainliest + easy points ]
Answer:
line segment
Step-by-step explanation:
I'm no Einstein, but that looks like a line segement
ngl
17 The table shows the probabilities that a biased dice will land on 2, on 3, on 4, on 5 and on 6
Number on dice
Probability
1
2
0.17
3
4
0.18 0.09
5
0.15
6
0.1
Neymar rolls the biased dice 200 times.
Work out an estimate for the total number of times the dice will land on 1 or on 3
The total number of occasions the dice would land on 1 or 3 is 98.
What are the components of probability?The probability space associated with a randomly chosen experiment is established by three components: the result space, whose element is an experiment outcome, a collection of events F whose elements represent subsets of, and a probability measure IP assigned towards the elements in F.
How do you get good at probability?As a result, for problems like Cards, Coins, and Dices, it is preferable to record the potential scenarios and determine the individual probabilities of each case before ORing/ANDing them in accordance with the problem demand. If done correctly, this will provide a great solution that will never fail you.
According to the given data:All of the probability will add upto 1.
this give us the equation:
P(1)+0.17 + 0.18 + 0.09 + 0.15 + 0.1 = 1
P(1) + 0.69 = 1
P(1) = 1 - 0.69
P(1) = 0.31
We now need to find the probability of 1 or 3
P(1 or 3) = P(1) + P(3)
= 0.31 + 0.18
= 0.49
We now use the predicting outcomes formula.
expected = P(1 or 3) x no. of times.
= 0.49 x 200
= 98
the total number of times the dice will land on 1 or on 3 = 98.
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On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function f(x)?
F(x) < 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
F(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
F(x) < 0 over the intervals ( –2.5, –0.75) and (–0.75, ∞).
F(x) > 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).
The statement that is true about the graphed function f(x) is that D. F(x) > 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).
What is a coordinate plane?The intersection of the x-axis, the horizontal line, and the y-axis, the vertical line, creates a coordinate plane, which is a two-dimensional plane. The origin is the point at which these parallel lines cross one another.
In this case, the statement that is true about the graphed function f(x) is that F(x) > 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).
The appropriate graph is attached.
In conclusion, the correct option is D.
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Find the inverse of each function. Is the inverse a function? f(x)=(x-2)³
The inverse function is given by f⁻¹(x)=∛x+2 and the inverse is a function.
The opposite function is referred to as the inverse of a function. To map the dependent variable y based on the independent variable x, we should ideally utilize a function. The relationship that determines the value of x based on a certain value of y is known as an inverse function.
The domain of a function shifts to the range for an inverse function, and vice versa.
For a function that is mathematically denoted by the formula y=g(x), where g(x) is a polynomial of x. We use y to solve the equation for x.
Given function is in the form f(x)=(x-2)³
It can be written as
y=(x-2)³
Then we take the cube root on either sides of the equation.
∛y=x-2
or, x=∛y+2
So the inverse function is:
f⁻¹(x)=∛x+2
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round 43.093 to the hundredths place
Answer:
43.09
Step-by-step explanation:
2. When new IPhones come out, the price of the previous IPhone
drops. The price of the IPhone 10 has been the following:
2018: $1000
2019: $700
2020: $490
2021: $343
2022: $240
a. What type of sequence do we have?
b. What is the ratio/difference?
c. How much will the IPhone 10 cost in 2025?
a. The type of sequence we have here is a Geometric Progression.
b. The common ratio of the sequence is 7/10.
c. iPhone 10 will cost $83 in 2025.
What is a geometric progression?In a particular kind of progression called a Geometric Progression, each succeeding term has a fixed ratio known as a common ratio.The term "GP" is also frequently used. The general form of the GP is written as a, ar, ar²,..., where a denotes the first term and r denotes the common ratio of the progression.The common ratio can be both positive and negative numbers.Given sequence is:
$1000, $700, $490, $343, $240
a. To determine the type of sequence we find the common ratio between terms:
700/1000 = 7/10
490/700 = 7/10
All terms differ by a common ratio hence it is a geometric progression.
b. From above,
1000 × 7/10 = 700
700 × 7/10 = 490
490 × 7/10 = 343
343 × 7/10 = 240
Hence, the common ratio of G.P is 7/10.
c. The next terms in the given G.P is:
240 × 7/10 = 168
So, iPhone 10 will cost $168 in 2023.
168 × 7/10 = 118
So, iPhone 10 will cost $118 in 2024.
118 × 7/10 = 83
So, iPhone 10 will cost $83 in 2025.
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Graph this function.
f(x) = x - 2
A function is a relation that uniquely associates members of one set with members of another set. More formally, a function from A to B is an object f such that every a in A is uniquely associated with an object f(a) in B. A function is therefore a many-to-one (or sometimes one-to-one) relation. The set A of values at which a function is defined is called its domain, while the set f(A) subset B of values that the function can produce is called its range. Here, the set B is called the codomain off.
A function from a set X to a set Y is an assignment of an element of Y to each element of X. The set X is called the domain of the function and the set Y is called the codomain of the function.
A function, its domain, and its co-domain are declared by the notation f: X→Y, and the value of a function f at an element x of X, denoted by f(x), is called the image of x under f, or the value of f applied to the argument x.
Functions are also called maps or mappings, though some authors make some distinction between "maps" and "functions"
f(x) = x - 2
X=0
f(0) = 0-2
f(0) = -2 ...(1)
f(1) = 1-2
f(1) = - 1 .....(2)
f(2) = x-2
f(2)= 2-2
f(2)= 0....(3)
Answer = Straight line figure
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1. 12 3/8 divide 2 3/4
Answer:
[tex]4\frac{1}{2} [/tex]
Step-by-step explanation:
To make the division easier, we will convert them to improper fraction first.
[tex]12 \frac{3}{8} \div 2 \frac{3}{4} \\ = \frac{99}{8} \div \frac{11}{4} [/tex]
Now we will change the sign to multiply and swap the numerator and denominator of the divisor fraction.
[tex] \frac{99}{8} \div \frac{11}{4} \\ = \frac{99}{8} \times \frac{4}{11} \\ = \frac{396}{88} \\ = \frac{9}{2} = 4 \frac{1}{2} [/tex]
Please help me please help me please help me
Answer:
(-2, -2)
Step-by-step explanation:
The point U, when rotated 270 degrees, will end up at the point (-2, -2) on the graph.
Help me pls
I need solution
The expression is simplified to 10x² + 48x + 3 =0
How to determine the valueGiven the expression as;
[tex]5^(^4^x^+^1^)^(^x^+^2^) + 4. 5^x^(^x^+^1^5^) = 5^-^2^x^2+^2^1^x^-^1[/tex]
We take the numerators have the same base, then we have;
(4x+1)(x+2) + 4(x(x+ 15) = -2x² + 21x - 1
expand the bracket
4x² + 8x + x + 2 + 4(x² + 15x) = -2x² + 21x - 1
4x² + 8x + x + 2 + 4x² + 60x = -2x² + 21x - 1
collect like terms
4x² + 4x² + 2x² + 8x + x + 60x - 21x = - 1 - 2
Add or subtract like terms
10x² + 48x = -3
Make into a quadratic equation
10x² + 48x + 3 =0
Thus, the expression is simplified to 10x² + 48x + 3 =0
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pls answer quick thanks
Answer: x = pm - n
Step-by-step explantake every value on the right to the left ( this also changes the action for that specific value)
Answer: p x m-n = x
Step-by-step explanation: First, minus n on both sides. This will give you m-n =x/p. Then, multiply P on both sides. This will give you p x m-n =x
Jordin worked 23 hours and 15 minutes. He's paid $13.00 an hour. How much will he get paid?
Change minutes to hours then multiply.
This is pay, so round all answers to the nearest cent if necessary. Two decimal places
Jordin after working for 23 hours and 15 minutes would be paid $302. 25
How to determine the amountFrom the information given, we have that;
Jordin worked for 23 hours + 15 minutesHe get paid $13.00 per hourLet's convert the minutes to hour
60 minutes is equivalent to 1 hour
Then 15 minutes is equivalent = x hour
cross multiply
x = 15/ 60
x= 0. 25 hour
He worked = 23 + 0. 25 = 23.25 hours
Then,
$13. 00 = 1 hour
$x = 23. 25
cross multiply
x = 13 × 23. 25
x = $302. 25
Thus, Jordin after working for 23 hours and 15 minutes would be paid $302. 25
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Factor each expression.
4 x²-8 x+3
After factorizing the expression we get: (2x ₋ 1) (2x ₋ 3) as factors of the expression.
Given the expression is 4x² ₋ 8x ₊ 3 = 0
factorize the expression.
The word "factor" is used to describe a number as the result of any two other numbers. Any mathematical object, including numbers, polynomials, and algebraic expressions, can have factors by using the factorization method. Finding the factors of a given algebraic expression is referred to as factorization of an algebraic expression.
4x² ₋ 8x ₊ 3 = 0
4x² ₋ 2x ₋ 6x ₊ 3 = 0
2x(2x ₋ 1) ₋ 3(2x ₋ 1) = 0
(2x ₋ 1) (2x ₋ 3)
Hence we get the factors of the expression as (2x ₋ 1) (2x ₋ 3)
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3x + 4 =22 what is the value of x
Answer:
Step-by-step explanation:
I’m pretty sure x= 10
Answer:
x=6
Step-by-step explanation:
what the base 5 system of 1120 can someone help me
Solution :
base 10
A number base (or base for short) of a numeral system tells us about the unique or different symbols and notations it uses to represent a value. For example, the number base 2 tells us that there are only two unique notations 0 and 1. The most common number base is decimal, also known as base 10.
Step1:
Converting 1120 to base 10.
1*103=1000
1*102=100
2*101=20
0*100=0
Adding all to get Ans=1120 based 10
Step2
Converting 1120 based 10 to 5
The equation calculation formula for 1120 based 10 numbers to 5 is like this below.
5|1120
5|224|0
5|44|4
5|8|4
5|1|3
5|1|1
Ans:13440 based 5
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What is the value of (–1.23)(–5.31)?
A: -653.13
B: -6.5313
C: 6.5313
D: 653.13
Thank You
Answer:C
Step-by-step explanation:
its because the formula gives away the answer in a impecable way
Divide. Rationalize all denominators. √8/√6
The rationalization of the denominator is 4√3 / 6 .
Rationalization may be a method that finds application in elementary pure mathematics, wherever it's wont to eliminate the real number within the divisor.Rationalization are often thought-about because the method wont to eliminate a radical or AN number from the divisor of AN pure mathematics fraction. That is, take away the radicals during a fraction in order that the divisor solely contains a real.We have given a fraction √8/√6 . ...(1)
The denominator of the fraction is √6.
Multiplying and dividing by √6 in equation (1), we get
√8/√6 = √8 × √6 /√6 × √6
= √48 /6
= 4√3 / 6
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Dylan had $42 in his savings account. Each week, he takes $7 out of the account and doesn’t make any deposits. How much money does he have in his savings account after 13 weeks? How much money does Dylan have after 13 weeks?
Answer:
$-49
Step-by-step explanation:
If he has $42 in his savings account and he takes $7 a week for 13 weeks, we have to multiply 7x13 to find out how much money he takes out of the account.
7x13=91, 91 is more then how much he has in his account so he will be in debt?
42-91=-49
if angles abc and def were measured with a protractor, what does intuition tell you about the degree measures of these angles?
The thing that intuition says about the degree measures of these angles is that ABC and DEF are supplementary angles.
How to illustrate the information?It should be noted that the given measures are ABC = 70° and DEF = 110°
it should be noted that supplementary angles are the angles that have the addition as 180°.
In this case,
ABC + DEF
= 70° + 110°
= 180°
Therefore, the thing that intuition says about the degree measures of these angles is that ABC and DEF are supplementary angles.
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