How do you find the domain of functions, I’d just like someone to explain it, that’s where I get lost, 30 points btw
Answers
Explanation:
The domain is the horizontal extent of the graph of the function. It is the set of all values of the independent variable for which the function is defined.
In a table or list of (x, y) or (x, f(x)) values the domain is the list of x-values.
On a graph, the domain is the horizontal extent of the graph, excluding any "holes" or vertical asymptotes. (The function is "undefined" at those places.)
__
For a polynomial, the domain is generally "all real numbers."
For rational functions, the domain always excludes any x-values that make any denominator be zero.
For functions such as logarithms or roots, the domain is the set of values for which the function is defined. Even roots (square root, 4th root, ...) are only defined for non-negative numbers. Logarithms are only defined for positive numbers.
__
In some problems, a model is often used that is defined for all values of the independent variable. For example, a height function may be modeled using a quadratic: h(t) = -4.9t^2 +30t +6. This is defined for all values of t, but the "practical domain" is the set of values of t ≥ 0 and before h(t) = 0. That is, we don't care about negative time or negative height.
Related Questions
Graph the image of the figure using the transformation given.
reflection across y=-1
Answers
Answer:
I'm not graphing, but I can describe the reflection as R', S', T', U':
R' = (-3, 1)
S' = (-2, 0)
T' = (-1, 2)
U' = (-2, 2)
Step-by-step explanation:
y = -1 is the line one unit below the x axis (the x axis is y=0).
To reflect any point across y=-1, we just need to leave the x coordinate as was, but the (new y) will be -2-(old y)
R = (-3, -3), R' = (-3, -2+3) = (-3, 1)
S = (-2, -2), S' = (-2, -2+2) = (-2, 0)
T = (-1, -4), T' = (-1, -2+4) = (-1, 2)
U = (-2, -4), U' = (-2, -2+4) = (-2, 2)
use the diagram to answer the question
Answers
Answer:
148
Step-by-step explanation:
a line (cd) is 180°
cba + and must be 180°
180-33=148
what's 5×5+6-8 \(0\)
Answers
23
Explanation:
Expression: 5×5+6-8
we apply order of operations: BODMAS ( Bracket, Order, Division, Multiplication, Addition, and Subtraction) or PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)
From the above, multiplication comes before addition and subtraction:
\(\begin{gathered} 5\times5+6-8\text{ = 25 + 6 -8} \\ =\text{ 31-8 } \\ =\text{ 23} \end{gathered}\)How does the author establish the third person point of view for the story?
A
By using first person pronouns like T and we."
B)
The reader cannot tell what point of view the story is written is from
By using second person pronouns like you to directly address the reader
D
By calling the main character "Mustafa and using dialogue tags like 'he
said after Mustafa speaks
Answers
The author does not say things like my, I, or we when writing in third person. By writing in third person, you are giving the names of the characters and saying he, she, they, and them.
Hope this helps!✨❤️
Answer:
I think letter D (◕ᴥ◕)(◕ᴥ◕)(◕ᴥ◕)(◕ᴥ◕)(◕ᴥ◕)
The total cost of a tie and a pair of pants was $87.18. If the price of the tie was $2.12 less than the pair of pants, what was the price of the tie? Express your answer as a simplified fraction or a decimal rounded to two places.
Answers
Help help math math math
Answers
Answer: 5a+23
Step-by-step explanation: Let us combine like terms. -7a + 12a = 5a, and 17 + 6 = 23, thus it is 5a + 23.
Answer:
slay
Step-by-step explanation:
slay
Kylie just accepted a job at a new company where she will make an annual salary of $43000. Kylie was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Kylie make as a salary after 6 years working for the company? What would be her salary after tt years?
Answers
Answer:5600
Step-by-step explanation:
Because I just did it
F=440(2)h/12 where h is 6
Answers
Answer:440
Step-by-step explanation:
F=440(2)h/12 h=6
F=440 x 2 x 6/12
F=(440 x 2 x 6) ➗ 12
F=5280 ➗ 12
F=440
Guys please i need help in this question, whoever gets it right will get a brainliest
dont pay attention to the bots responding with links, there not the answers
Answers
Answer:
14- 1/5
15- 9/20
16- 11/20
Step-by-step explanation:
1. If a food item has 12 grams of fat and a total of 345 calories per serving, what percent of the calories come from fat? Note: There are 9 calories per gram of
fat.
A3.5
B50%
C35%
D31%
Answers
if a car travels an average of 41 mph for 4.2 hours how far will it travel (d=st)
Answers
Answer:
172.2 miles
Explanation:
The distance is calculated as:
d = st
Where s is the speed and t is the time.
If the speed is 41 mph and the time is 4.2 hours, the distance is:
d = (41 mph)*(4.2 hours)
d = 172.2 miles
Therefore, the car will travel 172.2 miles
help quicklyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answers
Answer: A.
Explanation: 4 + -4 = 0 and 3 - 3 = 0
I think the answer is
(c.) 1 and -12
A poll showed that 53.2% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life. Round to 3 decimal places.
Answers
The probability that a statistics teachers do not know the true meaning of life is 46.8%
What is the probability of someone who does not believeFrom the question, we have the following parameters that can be used in our computation:
53.2% of Americans say they believe that statistics teachers know the true meaning of life.
This means that
P(Believe) = 53.2%
For the required probability, we have
P(Not believe) = 1 - P(Believe)
So, we have
P(Not believe) = 1 - 53.2%
Evaluate
P(Not believe) = 46.8%
Hence, the probability that a statistics teachers do not know the true meaning of life is 46.8%
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need help i dont understand
Answers
Answer:
Step-by-step explanation:
it would be "c" because the question asks for the number that makes the inequality true
4x≤ x+3
the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example
4 x -7=-28
-28+3=-25
-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5
5 is not greater than 8 so it doesnt work
Based on your answer to Part A, calculate the value of the most appropriate center value of the heights
Answers
pless i really need help
Answers
Perimeter of the parallelogram = 210 in.
Area of parallelogram = 2,484 in.²
What are the Perimeter and Area of a Parallelogram?Perimeter of parallelogram = 2(a + b), where a and b are its sides.
Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.
Given:
a = 51 in.
b = 54 in.
h = 46 in.
Perimeter of the parallelogram = 2(54 + 51) = 210 in.
Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²
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Write a sentence of the form “–––––––––––––– is a function of –––––––.”
Type your response in the space below.
Answers
"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.
Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.
It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.
In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.
The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.
Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.
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x °
68°
26 °
Find the measure of x (Hint: The sum of the measures
of the angles in a triangle is 180°
Answers:
6 °
86 °
90 °
180 °
Answers
Answer:
86°
Step-by-step explanation:
180° is the sum of all angles in a triangle
The two angles given are 68° and 26°
The equation is : 180° - 68° - 26° = x°
180° - 68° - 26° = 86°
x° = 86°
If my answer is incorrect, pls correct me!
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-Chetan K
which equation is the inverse of 2(x - 2)\(^{2}\) = 8(7 + y)
Answers
The inverse equation to the one given in this exercise is:
\(y = 2(\sqrt{7 + x} + 1)\)
How to find the inverse of an equation or a function?To find the inverse, we have to exchange x and y and then isolate y.
In this problem, the equation is:
2(x - 2)² = 8(7 + y).
Exchanging x and y:
2(y - 2)² = 8(7 + x)
Now we work to isolate y:
(y - 2)² = 4(7 + x).
To isolate y, we apply the square root to both sides, hence:
\(\sqrt{(y - 2)^2} = \sqrt{4(7 + x)}\)
\(y - 2 = 2\sqrt{7 + x}\)
\(y = 2\sqrt{7 + x} + 2\)
\(y = 2(\sqrt{7 + x} + 1)\)
Hence the inverse equation to the one given is:
\(y = 2(\sqrt{7 + x} + 1)\)
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Find the first derivative and the second derivative of each of the following functions.
Answers
To find the first derivative and second derivative of the following functions.
Now,
a)
\(y=4x^7+5x^3\)The first derivative is given by,
\(\begin{gathered} y^{\prime}=\frac{d}{dx}(4x^7+5x^3) \\ =4\times7x^{7-1}+5\times3x^{3-1} \\ =28x^6+15x^2 \end{gathered}\)The second derivative is,
\(\begin{gathered} y^{\prime\prime}=\frac{d^{}}{dx^{}}(28x^6+15x^2) \\ =28\times6x^{6-1}+15\times2x^{2-1} \\ =168x^5+30x \end{gathered}\)b)
\(y=\frac{2}{x^4}\)The first derivative is,
\(\begin{gathered} y^{\prime}=\frac{d}{dx}(\frac{2}{x^4}) \\ =\frac{d}{dx}(2x^{-4}) \\ =2\times-4x^{-4-1} \\ =-8x^{-5} \\ =-\frac{8}{x^5} \end{gathered}\)The second derivative is,
\(\begin{gathered} y^{\prime\prime}=\frac{d}{dx}(-\frac{8}{x^5}) \\ =\frac{d}{dx}(-8x^{-5}) \\ =-8\times-5x^{-5-1} \\ =40x^{-6} \\ =\frac{40}{x^6} \end{gathered}\)c)
\(x=36\sqrt[3]{t}\)The first derivative is,
\(\begin{gathered} x^{\prime}=\frac{d}{dt}(36\sqrt[3]{t}) \\ =\frac{d}{dt}(36\times t^{\frac{1}{3}}) \\ =36\times\frac{1}{3}\times t^{\frac{1}{3}-1} \\ =12\times t^{\frac{1-3}{3}} \\ =12\times t^{-\frac{2}{3}} \\ =\frac{12}{\sqrt[3]{t^2}} \end{gathered}\)The second derivative is,
\(\begin{gathered} x^{\prime\prime}=\frac{d}{dt}(\frac{12}{\sqrt[3]{t^2}}) \\ =\frac{d}{dt}(12\times t^{-\frac{2}{3}}) \\ =12\times-\frac{2}{3}\times t^{-\frac{2}{3}-1} \\ =-8t^{-\frac{5}{3}} \\ =-\frac{8}{t\sqrt[3]{t^2}} \end{gathered}\)d)
\(x=4e^{5t+3}\)The first derivative is,
\(\begin{gathered} x^{\prime}=\frac{d}{dt}(4e^{5t+3}) \\ =4\times e^{5t+3}\times(5+0) \\ =20e^{5t+3} \end{gathered}\)The second derivative is,
\(\begin{gathered} x^{\prime\prime}=\frac{d}{dt}(20e^{5t+3}) \\ =20\times e^{5t+3}\times(5+0)_{} \\ =100e^{5t+3} \end{gathered}\)e)
\(y=16\ln (2x)\)The first derivative is,
\(\begin{gathered} y^{\prime}=\frac{d}{dt}(16\ln (2x)) \\ =16\times\frac{1}{2x}\times2 \\ =\frac{16}{x} \end{gathered}\)The second derivative is,
\(\begin{gathered} y^{\prime\prime}=\frac{d}{dt}(\frac{16}{x}) \\ =\frac{d}{dt}(16x^{-1}) \\ =16\times-1x^{-1-1} \\ =-16x^{-2} \\ =-\frac{16}{x^2} \end{gathered}\)f)
\(x=4\sin (3\theta-1)+5\cos (2\theta+7)\)The first derivate is,
\(\begin{gathered} x^{\prime}=\frac{d}{d\theta}(4\sin (3\theta-1)+5\cos (2\theta+7)) \\ =4\times\cos (3\theta-1)\times(3-0)+5\times-\sin (2\theta+7)\times(2+0) \\ =12\cos (3\theta-1)-10\sin (2\theta+7) \end{gathered}\)The second derivative is,
\(\begin{gathered} x^{\prime\prime}=\frac{d}{d\theta}(12\cos (3\theta-1)-10\sin (2\theta+7)) \\ =12\times-\sin (3\theta-1)\times(3-0)-10\times\cos (2\theta+7)\times(2+0) \\ =-36\sin (3\theta-1)-20\cos (2\theta+7) \end{gathered}\)Write these fractions as whole nombers
8/4
21/3
56/8
48/8
Answers
Answer:2, 7, 7, 6
Step-by-step explanation:
Answer:
1) 8/4 = 2
2) 21/3 = 7
3) 56/8 = 7
4) 48/8 = 6
Step-by-step explanation:
To convert a fraction into a whole number: Divide the numerator by the denominator.
What's a numerator?:
A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.
What's a denominator?:
A denominator is the bottom number in a fraction. So, 4 in 8/4 is the denominator.
1) 8/4 = 8 divided by 4 = 2.
2) 21/3 = 21 divided by 3 = 7
3)56/ 8 = 56 divided by 8 = 7
4) 48 / 8 = 48 divided by 8 = 6
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answers
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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ABC is translated left 3 units to form the image A'B'C'.What are the coordinates of the vertices of A'B'C' ?fill your answers in the boxesA' = ( _ , _ )B' = ( _ , _ )C' = ( _ , _ )
Answers
From the given graph,
\(\begin{gathered} A=(-2,-1) \\ B=(2,-1) \\ C=(2,2) \end{gathered}\)Translated to lesft means a -2 is added to all the x coordinates.
\(\begin{gathered} A^{\prime}=(-2+(-2),-1)=(-4,-1) \\ B^{\prime}=(2+(-2),-1)=(0,-1) \\ C^{\prime}=(2+(-2),2)=(0,2) \end{gathered}\)Thus, the coordinates of A', B' and C' is (-4,-1), (0,-1) and (0,2) respectively.
Find the value of x.
44°
76°
to
Answers
Answer:
120°
Step-by-step explanation:
sum of angles on adjacent sides= exterior angle
x= 76+44 = 120
The concept of this question belongs to sum of internal angles of triangle and Linear pair of angles .
Solution : -Firstly , we are finding value of angle y. So sum of Angle 1 , Angle 2 and Angle y is equal to 180° because sum of all angles of internal triangle is 180°. So :
44° + 76° + y° = 180°120° + y° = 180°y° = 180° - 120°y° = 60°Therefore , value of angle y is 60° .
Now , we are finding the value of x :
As we know angle 3 ( y ) and angle 4 ( x ) is equal to 180° because they form linear pair . So :
60° + x° = 180°x° = 180° - 60°x° = 120°Therefore, value of angle x is 120° .
# \( \sf{ \bold{Keep \: Learning}}\)Solve the system of equations below by graphing them with a pencil and
paper. Enter your answer as an ordered pair.
y = -x + 5
y= x-3
Someone help please ASAP
Answers
Answer:
(4, 1)
Step-by-step explanation:
Where the 2 lines intercept is where the solution is.
Answer:
Step-by-step explanation:
y=-x+5
y=x-3
I put the atachment .
what is 3x × -4x in algebra
Answers
Answer:
-12
Step-by-step explanation:
3x×-4x
3×-4xto the power 1-1
-12×1
12
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The sum of 3x and 70 exceeds 13x
Answers
The algebraic representation of the sentence the sum of 3x and 70 exceeds 13x is: 3x + 70 > 13x.
What is algebraic expression?The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
Given that the sum of 3x and 70 exceeds 13x, this is represented as:
3x + 70 >13x
Hence, the algebraic representation of the sentence the sum of 3x and 70 exceeds 13x is: 3x + 70 > 13x.
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solve the following question
Answers
14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°
What is a trigonometric equation?A trigonometric equation is an equation that contains a trigonometric ration.
14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows
Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,
We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that
(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°
= 1² + 1² - 4cos²45°
We know that cos45° = 1/√2. So, we have
1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²
= 1 + 1 + 4/2
= 2 + 2
= 4
So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows
Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1
We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that
2(cos²θ - sin²θ) = 1
2(cos2θ) = 1
cos2θ = 1/2
Taking inverse cosine, we have that
2θ = cos⁻¹(1/2)
2θ = 30°
θ = 30°/2
θ = 15°
So, θ = 15°
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Please help me with this question
Answers
The values of tht missing part of the triangle are;
A= 20.9°
a = 13.06
c = 33.6
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
To find side c
sinB/b = sinC/c
sin45.9/26.30 = sin113.2/c
csin 45.9 = 26.30 × sin113.2
0.718c = 23.90
c = 23.90/0.718
c = 33.6
Angle A = 180-(113.2+ 45.9)
angle A = 20.9°
sinA/a = sinB/b
sin20.9/a = 0.718/26.30
0.357 × 26.30 = 0.718a
a = 9.389/0.718
a = 13.06
Therefore A = 20.9°
a = 13.06
c = 33.6
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Based on this document, Identify one reason many native-born Americans in the late 1880s were in favor restricting immigration.
Answers
One reason many native-born Americans in the late 1880s were in favor of restricting immigration was to protect themselves and their children against competition in the labor and business markets.
Anti-immigrant rhetoricMany native-born Americans in the late 1880s were in favor of restricting immigration due to fears of competition in the labor and business markets. At the time, many Americans believed that the influx of immigrants would cause wages to drop, create an abundance of available labor, and ultimately drive down the cost of goods and services. Additionally, native-born Americans feared that foreign workers would be willing to work for lower wages and thus undercut the wages of their American counterparts. This sentiment was further reinforced by the idea that immigrants were open to exploitation and would be more likely to accept lower wages than native-born citizens. As a result, native-born Americans felt that it was necessary to protect their own jobs, wages, and living standards by restricting immigration.The document also states that wages would rise if immigration was restricted, allowing native-born Americans to keep their jobs and earn higher wages. Additionally, the document states that immigrant labor was displacing native-born Americans from their jobs and that immigrants were taking away business from native-born Americans. This fear of competition in the labor and business markets was a major factor in why many native-born Americans in the late 1880s favored restricting immigration.To learn more about anti-immigrant rhetoric refer to:
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