Answers
The correct range of f(x) is 4.5 and f(x) is positive for negative interval.
Define the term a function?In mathematics, a function is a relation between two sets of numbers, called the domain and the range, that assigns to each element in the domain a unique element in the range. In other words, a function is a rule that takes an input value (or values) and produces a corresponding output value (or values), where the output value is determined by applying a specific set of instructions to the input value. A function can be represented symbolically by an equation, formula, or graph, and it is typically denoted by a letter such as f(x), g(x), or h(x). The input values of a function are often referred to as the independent variable or argument, while the output values are referred to as the dependent variable.
According to the question;
\(f(x)= -\frac{1}{2} |x-4|\)
The Range of f(x) = -0.5-(-5)
f(x) = 4.5
Therefore the correct range of f(x) is 4.5 and f(x) is positive for negative interval.
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Related Questions
Will mark brainless for first response!!!
Instructions
Consider the polynomials numbered 1 through 4, and the binomials A through F. For each
polynomial, find a binomial that can be used as a denominator to create an expression
without a remainder, and find a binomial that can be used as a denominator to create an
expression with a remainder. Feel free to use the same binomials multiple times. Show your
work.
1. 2x2 – 13x - 7
2. 3x2 - x - 10
3. 3x3 + 8x2 – 31x - 60
4. 6x3 + 37x2 + 57x + 20
A.X-2
B. X-3
C. x - 7
D. x + 4
E. 2x + 1
F. 3x + 5
Answers
2. -x - 4
3. -31x -35
4. 57x + 112
5. (-x) (-x)
The current of a river is 3 miles per hour. A boat travels to a point 8 miles upstream and back in 2 hours. What is the speed of the boat in still water?
Answers
Given:
The current of a river is 2 miles per hour. A boat travels to a point 8 miles upstream and back in 3 hours.
Required:
What is the speed of the boat in still water?
Explanation:
A boat has to travel 8 miles against the current and 8 miles with the current.
Ustream(against the current) the boat's speed is:
speed in still water - current OR x - 2.
Downstream( with the current) the speed is:
speed in still water + current speed OR x + 2.
We know the distance
OR
The total time is 3 hours
The time upstream + The time downstream = 3 hours
please help asap please
Answers
Because if u add all number up then divide by 8 which is amount of numbers A is correct
Answer: A, 4.75
Step-by-step explanation: To find the mean, we add all the numbers and then we divide that by the amount of numbers we are given
2 + 4 + 5 + 6 + 8 + 2 + 5 + 6 = 38 / 8 = 4.75
Hope this helps :)
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
y=100000(0.25)^8 exponential decay
Answers
y=100000(0.25)^8 exponential decay is 1.526.
How to find the exponential decay?The formula represents exponential decay with a decay factor of 0.25 and an initial value of 100,000. To evaluate the formula, you can simply substitute 8 for the variable x (since the formula has y in terms of x) and calculate the result:
y = 100000(0.25)^8
y = 100000(0.00001525878906)
y ≈ 1.526
Therefore, the value of y for x = 8 is approximately 1.526. This means that after 8 units of time, the initial value of 100,000 has decayed to around 1.526.
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What is the volume of this pyramid?
Enter your answer in the box.
Answers
Answer:
9576
Step-by-step explanation:
Area of the triangle × height
(1/2×28×19)×36
2. Two baseball players were up to bat. Consider the parabolic paths of their two hits, represented in thegraph at right. One hit covers a horizontal distance of 4 feet and reaches a maximum height of 20 feet.The other hit covers a horizontal distance of 6 feet, but only reaches a maximum height of 9 feet.
Answers
Explanation:
The equation of parabola can be founded using the following equation:
\(y=a(x-h)^2+k\)Where the point (h, k) is the vertex. So, if the hit covers a horizontal distance of 4 feet and reaches a maximum height of 20 feet, we can say that the vertex will be located at (2, 20) because the maximum height of 20 ft is reached when the horizontal distance is half of the maximum horizontal distance 4 ft.
So, the equation for the first hit is:
\(undefined\)Help! Will give brainiest
Which models show the problem 4/6 ÷ 2/6 = 2? Check all that apply.
Answers
Answer:
1st, 2nd, and 3rd models are correct
Step-by-step explanation:
Please help quickly I'm begging!
Assignment details: In this assignment, you will create two graphs and answer questions about Bond's Gym, the business you are supporting.
Answers
The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments
Creating the functions of the Bond's GymFrom the question, we have the following parameters that can be used in our computation:
The table of values
For the membership application, we have the following features
Initial value = 600Constant rate of change = (450 - 600)/(15 - 0) = -10So, the function is
f(x) = 600 - 10x
For the membership available, we have the following features
Initial value = 0Constant rate of change = (100 - 0)/(15 - 0) = 20/3So, the function is
g(x) = 20/3x
So, the functions are f(x) = 600 - 10x & g(x) = 20/3x
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In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
Answers
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Solve trigonometric function
sin∅ × csc∅ + cos(3π/2 - ∅) × sin∅
Answers
Answer:
\(\sf \cos ^2\left(x\right)\)
Explanation:
\(\sf \sin \left(x\right)\csc \left(x\right)+\cos \left(\frac{3\pi }{2}-x\right)\sin \left(x\right)\)
\(\sf \sin \left(x\right)\csc \left(x\right)+\left(-\sin \left(x\right)\right)\sin \left(x\right)\)
\(\sf \sin \left(x\right)\csc \left(x\right)-\sin ^2\left(x\right)\)
\(\sf \cos ^2\left(x\right)\)
Answer:
\(\cos^2(\theta)\)
Step-by-step explanation:
Identities used:
\(\csc(\theta)=\dfrac{1}{\sin(\theta)}\)
\(\cos(\frac{3 \pi}{2}-\theta)=\cos(\frac{3 \pi}{2})\cos(\theta)+\sin(\frac{3 \pi}{2})\sin(\theta)\)
\(\textsf{As }\cos(\frac{3 \pi}{2})=0\textsf{ and }\sin(\frac{3 \pi}{2})=-1\)
\(\implies \cos(\frac{3 \pi}{2}-\theta)=0 \times\cos(\theta)+-1\times\sin(\theta)=-\sin(\theta)\)
\(\sin^2(\theta)+\cos^2(\theta)=1 \implies \cos^2(\theta)=1-\sin^2(\theta)\)
Therefore,
\(\sin(\theta) \times \csc(\theta)+\cos(\frac{3 \pi}{2}-\theta)\times\sin(\theta)\)
\(=\sin(\theta) \times\dfrac{1}{\sin(\theta)}-\sin(\theta)\times\sin(\theta)\)
\(=1-\sin^2(\theta)\)
\(= \cos^2(\theta)\)
Classify the polygon. Then determine whether it appears to be regular or not regular. A. stargon; regular B. hexagon; not regular C. pentagon; not regular D. pentagon; regular
Answers
Mrs brown is putting different colored sands into cups
Answers
Answer:
Step-by-step explanation:
What’s the question?
Answer:
What’s the question
Step-by-step explanation:
I need help with this please
Answers
Answer:
8. tenths
9. 90,000
Step-by-step:
tenths: ones are 10 times as small and move the decimal point one more time, tenths (note the ths)
90,000 the 9 in 295 is 90. 90*1000=90,000
What is 1 2/3 divided by 1 5/6
Answers
Answer:
10/11
Step-by-step explanation:
A trucker is driving on the highway, traveling 65 miles per hour.
Write an equation that shows the relationship between the number of hours of highway travel, x, and the number of miles traveled, y.
Answers
find the quotient. simplify your answer s-4/s / 8/s
Answers
Your input: find the difference quotient for f(s)=s−12s2.
A difference quotient is given by f(s+h)−f(s)h
To find f(s+h), plug s+h instead of s:
f(s+h)=s−12s2
Finally, f(s+h)−f(s)h=(s−12s2)−(s−12s2)h=0
Answer: the difference quotient for f(s)=s−12s2 is 0.
Determine the open intervals on which the function is increasing, decreasing, or constant. (Enter your answers using interval notation.)
t + 2, t<0
F(t) = 2, 0 ≤ t ≤ 2
-t + 4, t > 2
increasing: ____________
decreasing: ___________
constant: ______________
Answers
The Function is increasing (-∞, 0), decreasing (2, ∞), and constant [0, 2].
The intervals on which the function is increasing, decreasing, or constant, we need to analyze the behavior of the function in each interval.
1. Interval t < 0:
In this interval, the function is given by f(t) = t + 2. Since the coefficient of t is positive (1), the function is increasing. Therefore, the interval t < 0 is an interval of increasing values.
2. Interval 0 ≤ t ≤ 2:
In this interval, the function is constant and given by f(t) = 2. The value of the function remains constant at 2 for all values of t in this interval.
3. Interval t > 2:
In this interval, the function is given by f(t) = -t + 4. Since the coefficient of t is negative (-1), the function is decreasing. Therefore, the interval t > 2 is an interval of decreasing values.
To summarize:
Increasing interval: t < 0
Decreasing interval: t > 2
Constant interval: 0 ≤ t ≤ 2
Using interval notation, we can express the intervals as follows:
Increasing interval: (-∞, 0)
Decreasing interval: (2, ∞)
Constant interval: [0, 2]
In interval notation, (a, b) denotes an open interval, which means it includes all values between a and b, but excludes the endpoints. [c, d] denotes a closed interval, which includes both endpoints c and d.
Therefore, the function is increasing on the interval (-∞, 0), decreasing on the interval (2, ∞), and constant on the interval [0, 2].
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Which angles below are equal to ∠CDB?
Answers
Answer:
(x) ∠CAB
Step-by-step explanation:
In ΔCOD and ΔBOA
\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)
Also,
∠COD = ∠BOA (vertically opposite angles)
⇒ ΔCOD and ΔBOA are similar
⇒ ∠CDO = ∠BAO
⇒ ∠CDB = ∠BAC
⇒ ∠CDB = ∠CAB
Please help, I don’t understand how to do this at all!
Draw a graph that models the connecting relationships in the floorplan below. The vertices represent the
rooms and the edges represent doorways connecting the rooms. Vertex F represents the outdoors.
F
C
A
D
B
E
Is it possible to find a circuit through the house that uses each doorway once? If so, enter the sequence of
rooms (vertices) visited, for example ABDEA. If it is not possible, enter DNE.
Answers
This graph does not have an Euler circuit, which means it is not possible to find a circuit through the house that uses each doorway once.
Hence, the answer is DNE.
What is Euler circuit?
An Euler circuit is only possible in a connected graph where every vertex has an even degree (i.e., an even number of edges incident to it). If any vertex has an odd degree, then an Euler circuit is not possible. If a graph has an Euler circuit, then it also has an Euler path, which is a path that visits every edge exactly once but starts and ends at different vertices.
According to given information :To draw a graph that models the connecting relationships in the floorplan, we can represent each room as a vertex and connect vertices with edges to represent doorways connecting the rooms. We can label the vertices with the corresponding letters and label the edges with the corresponding letters of the connected vertices.
To determine whether it is possible to find a circuit through the house that uses each doorway once, we can use the Euler's circuit theorem, which states that a connected graph has an Euler circuit if and only if every vertex has an even degree. In this graph, vertices A, B, C, D, and E all have degree 3 (three edges connected to each vertex), while vertex F has degree 1 (one edge connected to the vertex).
Therefore, this graph does not have an Euler circuit, which means it is not possible to find a circuit through the house that uses each doorway once.
Hence, the answer is DNE.
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Display the values of the function in two ways: (a) by sketching the surface zequals=f (x comma y )f(x,y) and (b) by drawing an assortment of level curves in the function's domain. Label each level curve with its function value.
Answers
Answer:
(1) f(x,y) = 1-|x|-|y|
(a) 3d figure attached
(b) 2d figure attached
(2) f(x,y) = 6-2x-3y
(a) 3d figure attached
(b) 2d figure attached
Step-by-step explanation:
The Function is not given in the question. Lets solve this for 2 common function for the internet. Hopefully it can solves the given problem
(1) f(x,y) = 1-|x|-|y|
(2) f(x,y) = 6-2x-3y
All the figures are labelled to avoid confusion. (a) part of both functions have 3D sketches. (b) part of both functions have 2d sketches
simplify (-13x^2-7x-9)-(-7x^2+11x-10)
Answers
Answer:
-6x^2-18x+1
Step-by-step explanation:
not fully sure but hope this helps!!
Answer the following questions.
1) Choose the equation of a line parallel to the given equation and passing through a point P.
x+2 y=5 ; P=(2,-5)
y=-1/2 x-1
y=2 x-4
y=-2 x-1
y=-1/2 x-4
2) Choose the equation of a line parallel to the given equation and passing through a point P.
-3 x-y=-4 ; P=(1,4)
y=-3 x+5
y=-3 x+7
$y=1/3 x-3
$y=1/3x+7
Answers
The linear functions in this problem are given as follows:
1. y = -x/2 - 4.
2. y = -3x + 7.
How to define the linear functions?Considering the options in these problems, the linear functions are defined in slope-intercept format, given as follows:
y = mx + b.
The coefficients of the function are given as follows:
m is the slope.b is the y-intercept.The slope-intercept definition of the two equations presented in this problem are given as follows:
y = -0.5x - 5.y = -3x + 4.When two linear functions are parallel, they have the same slope, hence the two functions will be given as follows:
y = -0.5x + b.y = -3x + b.For item 1, when x = 2, y = -5, hence the intercept b is calculated as follows:
-5 = -0.5(2) + b
b = -5 + 1
b = -4.
For item 2, when x = 1, y = 4, hence the intercept b is calculated as follows:
4 = -3(1) + b
b = 7.
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PLEASE HELP WHAT IS 7 x 4
Answers
Answer:
THE ANSWER OF 7×4=28 !!!!!!!
Aaliyah invests $7,000.00 at 4% simple interest for 1103 days.
How much interest is earned over the 1103 day period?
The interest earned over the 1103 day period is _______
How much is in the account at the end of the 1103 day period?
Aaliyah will have __________
in the account at the end of the 1103 day period.
Answers
The interest earned over the 1103 day period is $840
Aaliyah will have $7840 in the account at the end of the 1103 day period.
What is simple interest?Simple interest is defined as the amount of money that is paid to an individual following an investment that is made to an account.
The amount of money invested = $7,000.00
The rate of interest= 4%
The time of investment = 1103 = 3 years
Simple interest = P×T×R/100
= 7000×4×3/100
= 84000/100
= $840
The amount of money that is in the account at the end of the 1103 day period = 7000 + 840 = $7,840
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f
3
+ 22 = 17
- 22 - 22 +
43
f = -5
3
= 3(-5)
f =
Subtract 22 on both sides.
Multiply by 3 on both sides.
Answers
On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.
What is BODMAS?
BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.
\(f/3 +22 = 17\)
\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.
Then simplify. The \(+22 and -22= 0\) They "cancel" \(17-22 = -5\)
\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.
If we have to solve f, the next step we to take is to multiply on the both sides by 3.
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A to City B. In 5 days, they have traveled 2,075 miles. At this rate, how long will it take them to travel from City A to City B?
Answers
In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
What is formula?A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.
Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.
A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.
We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.
total distance / time taken = average speed
\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because
Time taken = \(2075/415\) per days \(= 5 days\)
Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
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Which ordered pairs are solutions to the system of equations (-2,1.6)(0,3 3/5)(2,5 3/5) y=-0.5x+0.6
Y=x+3 3/5
Answers
Result is x = - 2 and y = 1.6 so the ordered pair ( -2, 1.6) is the solution of the system equations.
What is equation?It is a mathematical expression that shows the equalities between two or more terms. There are different types of equation such as linear equation, quadratic equation, exponential equation and so on.
Which is the solution of the systems of equations?Given, the two systems of equation.
y = - 0.5x + 0.6
and y = x + 3³₅
rewrite the second equation and get y = x +18/5
5y = 5x + 18 .... equation 2
the first equation is multiplied by 5 and we get.
5y = - 2.5 x + 3
5y = 5x +18
- - -
we will now solve the above equations by addition method.
0 = - 7.5 x - 15
7.5 x = - 15
x = -2
putting the value of x in any equation, we get the value of y = 1.6
x = - 2 and y =1.6
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On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden. The graph models the growth of
each plant since the day they were planted.
12
11
10
9
8
Height 74
of Plant 6-
(cm) 5
4
3
1
1
3
Days After Being Planted
How many days after being planted were the two plants the same height?
OA 2
B. 3
OC. 5
Answers
The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).
How to know if the lines intersect in the graph of a function?
All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.
Now,
On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.
The graph models the growth of each plant since the day they were planted.
The intersection of the two lines represents the days after being planted were the two plants the same height.
The answer is that 2 days after being planted, the two plants are the same height.
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The answer is that 2 days after being planted, the two plants are the same height.
How to know if a point lies in the graph of a function?
All the points (and only those points) which lie on the graph of the function satisfy its equation.Thus, if a point lies on the graph of a function, then it must also satisfy the function.On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.The graph models the growth of each plant since the day they were planted.We need to find How many days after being planted were the two plants the same height.The intersection of the two lines represents the days after being planted were the two plants the same height.The answer is that 2 days after being planted, the two plants are the same height.
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On 21/04 the service fee for depositing the amount of R2239.10 was 31.74. Determine the service fee as a percentage of the deposited amount
Answers
To determine the service fee as a percentage of the deposited amount, we can use the following formula:
What does math's % mean?
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
Service fee percentage = (Service fee / Deposited amount) x 100
In this case:
Service fee percentage = (31.74 / 2239.10) x 100 = 1.41%
So, the service fee for depositing the amount of R2239.10 was 1.41% of the deposited amount.
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