a. Yes; domain: all real numbers; range: y = 0
b. Yes; domain: all real numbers; range: y20
No; domain: all whole numbers; range: y so
d. Yes; domain: all real numbers; range: y > 0
C.
Answers
The function is also defined at x = 0 thus the domain is all real numbers and the range is y ≥ 0 thus option (b) is correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
As per the given graph.
The graph is the function of y = |x|
At x = 0 , y = 0 (defined)
And the function goes x = -∞ to ∞
Hence "The function is also defined at x = 0 thus the domain is all real numbers and the range is y ≥ 0".
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Related Questions
HELP PLEASE I NEED A ANSWER ASAP
Answers
Answer:
5x+6+48+81=180°
5x+135=180
5x=45
x=9
Step-by-step explanation:
I HOPE it will help you
Answer:
answer is 9
Step-by-step explanation:
48+81=129
180-129=51
51-6=45
45/5=9
The cost of staying at a hotel is $129 per night for the room plus a resort fee of $9.95 for high-speed internet access. Write an equation that that represents the cost of staying at the hotel, C, for n nights.
Answers
Answer:
C=$129n+$9.95
Step-by-step explanation:
Cost = 129 dollars multiplied by n (number of nights) plus the initial fee of $9.95
So for 1 night: $138.95=$129(1)+9.95. The cost is $138.95 because you are multiplying $129 by 1, and then adding $9.95
3 candies cost 90 cents. What is the cost of a candy? Let x be the cost of a candy.
Answers
x=.30
Given the following functions, find each of the values: f(t) = tz - t - 42 r ( t ) = t+6 ( f t r ) ( - 5 ) = ( f - ) ( - 4) = ( fr)
(0) = ( - 3 ) =
Answers
(ftr)(-5) = -5z - 37
(f-)(-4) = -4z - 38
(fr)(0) = -252
(fr)(-3) = -9z - 117
To find the values of the given functions at specific inputs, we substitute the given inputs into the respective functions.
Given:
f(t) = tz - t - 42
r(t) = t + 6
Let's evaluate each value step by step:
(ftr)(-5):
First, substitute -5 into f(t) and then substitute the result into r(t).
f(-5) = (-5)z - (-5) - 42 = -5z + 5 - 42 = -5z - 37
r(-5) = (-5) + 6 = 1
(ftr)(-5) = (-5z - 37)(1) = -5z - 37
(f-)(-4):
First, substitute -4 into f(t).
f(-4) = (-4)z - (-4) - 42 = -4z + 4 - 42 = -4z - 38
(f-)(-4) = -4z - 38
(fr)(0):
First, substitute 0 into f(t) and then substitute the result into r(t).
f(0) = (0)z - (0) - 42 = -42
r(0) = (0) + 6 = 6
(fr)(0) = (-42)(6) = -252
(fr)(-3):
First, substitute -3 into f(t) and then substitute the result into r(t).
f(-3) = (-3)z - (-3) - 42 = -3z + 3 - 42 = -3z - 39
r(-3) = (-3) + 6 = 3
(fr)(-3) = (-3z - 39)(3) = -9z - 117
To summarize:
(ftr)(-5) = -5z - 37
(f-)(-4) = -4z - 38
(fr)(0) = -252
(fr)(-3) = -9z - 117
Please note that the values of the functions depend on the variable z, which is not provided in the given question. Therefore, the expressions remain in terms of z.
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The graph of Y = f(x) is graphed below. What is the end behavior of f(x)?
Answers
Answer:
By a search in google, i found the graph for this problem, that is seen below.
The end behavior of f(x) is "how the function behaves as IxI takes large values"
Now, in the graph you can see that around x = -8, the graph goes down very quickly, and around x = -4, the graph goes up very quickly, and in neither case is a sign that the graph will have an inflection point or a change in concavity/convexity, so the left side goes to minus infinity and the right side goes to plus infinity.
Then the correct option is:
From this, we can conclude that if x ⇒ -∞, we will take the left part of the graph, then y⇒ -∞
And when x ⇒∞, we must take the right part of the graph, then y ⇒∞.
i actually need help bhっっっっb
Answers
How long have you been stuck on this problem???
Answer:
try 15
Step-by-step explanation:
(っ◔◡◔)っ
HELP NOW PLEASE!!!!!!!!!!!!
Answers
Answer:
Negative numbers are used in navigation and directions determination
Given that x:28=7:x Calculate the positive value of x .
Answers
Answer:
14
Step-by-step explanation:
16. Determine the parametric equations of each line. a. the line that passes through (−5, 10) and has a slope of 3 b. the line that passes through (1, -1) and is perpendicular to the line (x, y) = (4, −6) + t(2, −2) c. the line that passes through (0, 7) and (0, 10)
Answers
a. The line passing through (-5, 10) with a slope of 3 can be parametrized as x = -5 + 3t and y = 10 + 3t.
b. The line passing through (1, -1) and perpendicular to (x, y) = (4, -6) + t(2, -2) can be parametrized as x = 1 + (-1/2)t and y = -1 + (1/2)t.
c. The line passing through (0, 7) and (0, 10) can be parametrized as x = 0 and y = 7 + t.
a. To determine the parametric equations for the line passing through (-5, 10) with a slope of 3, we can use the point-slope form of a line. The equation is given by y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Plugging in the values, we have y - 10 = 3(x - (-5)). Simplifying this equation gives y = 3x + 25. By letting x = -5 + t, we can obtain the parametric equations x = -5 + 3t and y = 10 + 3t.
b. To find the line perpendicular to (x, y) = (4, -6) + t(2, -2), we can use the fact that the slopes of perpendicular lines are negative reciprocals. The given line has a slope of -2/2 = -1. Thus, the perpendicular line will have a slope of 1. Using the point-slope form again with the point (1, -1), we get y - (-1) = 1(x - 1). Simplifying gives y = x. Therefore, the parametric equations for the perpendicular line are x = 1 + (-1/2)t and y = -1 + (1/2)t.
c. The line passing through (0, 7) and (0, 10) is a vertical line parallel to the y-axis. This means that the x-coordinate remains constant. Hence, the parametric equation for x is x = 0. As the line passes through (0, 7), we can let y = 7 + t, where t is the parameter. Therefore, the parametric equations for this line are x = 0 and y = 7 + t.
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The larger of two numbers is 10 more than the smaller number. Also, five times the larger number
is 40 more than 6 times the smaller number. Find both numbers.
Answers
Answer:
10 and 20Step-by-step explanation:
x - the smaller number
x 10 - the larger number
5(x+10) - five times the larger number
6x - 6 times the smaller number
6x+40 - 40 more than 6 times the smaller number
6x + 40 = 5(x + 10)
6x + 40 = 5x + 50
-40 -40
6x = 5x + 10
-5x -5x
x = 10
x+10 = 10 + 10 = 20
Mary is organising a charity hot dog sale.
There are 18 bread rolls in each packet.
There are 15 hot dogs in each packet.
Mary buys exactly the same number of bread rolls as hot dogs.
What is the smallest number of each packet that Mary can buy?
Answers
Answer:
11 packets both bread rolls and hotdogs. bread rolls 5 and hotdogs 6
Step-by-step explanation:
So it's LCM.
18:15
90:90
Answer:
5 packets of bread rolls and 6 packets of hotdogs.
Step-by-step explanation:
18x=15y
6x=5y
x/y=5/6
18(5)=15(6)
how to reduce the fraction 12/15
Answers
Answer:
4/5
Step-by-step explanation:
I know the answer by doing math in my head
to complete her holiday wrapping
Answers
Answer:
Say what? Elaborate and I can help you
Step-by-step explanation:
Answer:
at least 20
Step-by-step explanation:
c) Which of these numbers is a square number?
A
B
с
D
4 x 10 9 x 104 4 x 10 9 x 10
Answers
Answer:
Could you arrange that better so that I can reanswer it accurately.
Step-by-step explanation:
Minimize z=5x1+4x2 Subject to: 6x1+2x2≤24 x1+2x2≤6 −x1+x2≤1 x2≤2
Answers
By substituting the corner points into the objective function, we can compare the values of z and identify the minimum. The corner point with the lowest z value will give us the optimal solution.
To solve the given linear programming problem completely, we will follow the steps mentioned earlier. Let's go through the process in more detail:
Step 1: Identify the decision variables:
Let x1 and x2 be the decision variables representing the values we want to find that minimize z.
Step 2: Formulate the objective function:
The objective function is given as z = 5x1 + 4x2.
Step 3: Formulate the constraints:
The given constraints are:
6x1 + 2x2 ≤ 24
x1 + 2x2 ≤ 6
-x1 + x2 ≤ 1
x2 ≤ 2
Step 4: Combine all the constraints:
To combine the constraints, we rewrite them in standard form:
6x1 + 2x2 ≤ 24 ---> 6x1 + 2x2 + 0x3 + 0x4 = 24
x1 + 2x2 ≤ 6 ---> x1 + 2x2 + 0x3 + 0x4 = 6
-x1 + x2 ≤ 1 ---> -x1 + x2 + 0x3 + 0x4 = 1
0x1 + x2 ≤ 2 ---> 0x1 + x2 + 0x3 + 0x4 = 2
Step 5: Solve the linear programming problem:
To solve this linear programming problem, we can use various methods such as the Simplex method or graphical method. Here, we'll use the graphical method to find the optimal solution.
First, let's plot the feasible region by graphing the equations of the constraints:
Plotting 6x1 + 2x2 = 24:
x1 | x2
0 | 12
4 | 0
Plotting x1 + 2x2 = 6:
x1 | x2
0 | 3
6 | 0
Plotting -x1 + x2 = 1:
x1 | x2
-1 | 0
0 | 1
Plotting x2 = 2:
x1 | x2
0 | 2
Next, we need to find the feasible region by considering the overlapping shaded area formed by the inequalities. However, I cannot provide a visual representation here. Please refer to a graphing tool or software to plot the equations and find the feasible region.
Finally, we evaluate the objective function z = 5x1 + 4x2 at the corner points of the feasible region to determine the minimum value of z. Each corner point represents a specific combination of x1 and x2 within the feasible region.
By substituting the corner points into the objective function, we can compare the values of z and identify the minimum. The corner point with the lowest z value will give us the optimal solution.
Please note that without the graphical representation, I am unable to provide the exact numerical solution. I recommend using a graphing tool or linear programming software to visualize the feasible region and determine the optimal values of x1 and x2 that minimize z.
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Anna babysits for $5 per hour. Find h, the number of hours she needs to work
to make $15. The letter h, in the problem represents
the:
A. constant
B. variable
C. coefficient
Answers
Answer:
H is constant
H = 3
Step-by-step explanation:
Answer:
its A: Constant jejejejejejsjsjsj
5. Find the difference of the square of 65 and the square of 45
Answers
The square of 65 and the square of 45 are separated by 2200.
We must first compute each square independently and then compare the two outputs to determine the difference between the squares of 65 and 45.
A number is multiplied by itself to produce the square of a number. Let's determine the squares of 65 and 45 now:
65 squared:
65 * 65 = 4225
45 squared:
45 * 45 = 2025
Find the difference between these two squares by doing the following:
4225 - 2025 = 2200
Consequently, 2200 is the difference between the squares of 65 and 45.
Consider the following to provide extra context for this:
The area of a square with each side is represented by the square of 65, which is 4225.65 units in size. Similarly, the area of a square with sides that are each 45 units long is represented by the square of 45, or 2025.
The difference in their areas, which is 2200 square units, can be calculated by deducting the area of the smaller square (2025) from the area of the larger square (4225).
As a result, the larger square, which corresponds to the square of 65, has 2200 square units more surface area than the smaller square, which corresponds to the square of 45.
In summary, there are 2200 units in the square of 65 and the square of 45.
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The difference between the square of 65 and the square of 45 is calculated by first finding the square of each number (4225 and 2025 respectively) then subtracting the smaller number from the larger one, resulting in a difference of 2200.
Explanation:The subject of this question is Mathematics. We are being asked to find the difference between the square of 65 and the square of 45. First, let's calculate the square of each number. The square of a number is found by multiplying the number by itself. So, the square of 65 is 65 * 65 = 4225 and the square of 45 is 45 * 45 = 2025.
Next, to find the difference between these two values, we subtract the smaller value (2025) from the larger value (4225). This gives us 4225 - 2025 = 2200.
Therefore, the difference of the square of 65 and the square of 45 is 2200.
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Kelly and Jack bought tickets to the opera. Each ticket cost $45.00 and
there was an 8% sales tax on the total order. How much did Kelly and
Jack spend for their opera tickets?
Answers
Answer:
$48.60
Step-by-step explanation:
The sales tax is $3.60
$45.00+$3.60= 48.60
-0.25(-1) please answer ASAP
Answers
Answer:
0.25
Multiplying two negatives make a positive.
Step-by-step explanation:
Answer:
0.25 would be the
soultion
at jeremy's school, the final grade for his human biology course is weighted as follows: tests: 50% quizzes: 35% homework: 15% jeremy has an average of 94% on his tests, 78% on his quizzes, and 62% on his homework. what is jeremy's weighted average?
Answers
Jeremy's weighted average for his human biology course is 83.6%.
To calculate Jeremy's weighted average, we need to apply the respective weights to each category and then sum them up.
Tests: 50% of the final grade
Quizzes: 35% of the final grade
Homework: 15% of the final grade
To find the weighted average, we multiply each category's average by its respective weight and then sum the results.
Tests: 94% * 50% = 47%
Quizzes: 78% * 35% = 27.3%
Homework: 62% * 15% = 9.3%
Adding up the weighted scores:
47% + 27.3% + 9.3% = 83.6%
Jeremy's weighted average for his human biology class is 83.6% as a result.
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HELP FOR 25 POINTS!
Function $C$ is defined on positive integers as follows:
\[C(n) = \begin{cases}
\dfrac n 2 & \text{if $n$ is even}, \\
3n+1 & \text{if $n$ is odd}.
\end{cases}\]Find the smallest positive integer $m$ such that $C^{m}(9) = 1$. What does this notation mean?
Answers
The smallest positive Integer m such that $C^{m}(9) = 1$ is m = 6.
The given function C is defined on positive integers as follows:$C(n) = \begin{cases}\dfrac n 2 & \text{if $n$ is even}, \\3n+1 & \text{if $n$ is odd}.\end{cases}$
The question is to find the smallest positive integer m such that $C^{m}(9) = 1$.
The notation $C^m(9)$ means applying the function C repeatedly m times to the number 9.
So, for example, $C^{2}(9)$ means applying the function C twice to the number 9, i.e., $C(C(9))$.
To solve this question, we will start by computing the first few iterations of the function C applied to 9, i.e., we will compute $C(9), C(C(9)), C(C(C(9))), C(C(C(C(9)))), \dots$.$C(9) = 3(9) + 1 = 28$.$C(C(9)) = C(28) = 28/2 = 14$.$C(C(C(9))) = C(14) = 14/2 = 7$.$C(C(C(C(9)))) = C(7) = 3(7) + 1 = 22$.$C(C(C(C(C(9))))) = C(22) = 22/2 = 11$.$C(C(C(C(C(C(9)))))) = C(11) = 3(11) + 1 = 34$.$C(C(C(C(C(C(C(9))))))) = C(34) = 34/2 = 17$.
We can see that $C^{6}(9) = 1$.
Therefore, the smallest positive integer m such that $C^{m}(9) = 1$ is m = 6.
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Based on previous sales, Ron predicted sales of 80 pen sets. He actually sold 100 pen sets. Find the error and absolute error for the pen sets.
Answers
Answer: A=-20 B=20 its the right answer so your welcome
Answer:
A= -20, B = 20
Step-by-step explanation: just did the instruction on Edge
Order The Angles From Smallest To Largest
Answers
Answer: angle U, angle T, and then angle V.
Step-by-step explanation:
The shortest angle will be opposite to the smallest line segment.
The bigger angle will be opposite to the longest line segment...
I think this theorem is called "Longest and shortest sides of triangles"
Please mark this as brainliest answer..
A car rental agency charges $50 per week plus $0.50 per mile to rent a car.
a. Express the weekly cost to rent the car, f, as a function of the number of miles driven during the week, x.
b. How many miles did you drive during the week if the weekly cost to rent the car was $100?
Answers
f(x) = 0.50x +50
B) You want to find x for f(x) = 100. Substitute the given numbers and solve for x.
100 = 0.50x +50
50 = 0.50x
50/0.50 = x
100 = x
You drove 100 miles during the week if the cost was $100.
-5y + 12 + 8y − 6 − 2 = ______ help plz
Answers
Answer:
(combine like terms)
-5y + 12 + 8y − 6 − 2
3y+12-8
3y+4
Lucie is struggling with Geometry and is in need of a private tutor. She has two candidates in mind. The veteran tutor charges $15 for the first session plus $60 per hour afterward. The new college graduate charges $45 for the first session plus $50 per hour afterward. How many hours must these two tutor in order to earn the same amount of money?
Answers
Answer:
2.33 hours
Step-by-step explanation:
Given
Veteran Tutor
[tex]Charges = \$15[/tex] --- first session
[tex]Hourly\ Rate = \$60[/tex]
College Graduate
[tex]Charges = \$45[/tex] --- first session
[tex]Hourly\ Rate = \$50[/tex]
Required
Determine the number of hours they earn the same amount
Represent the hours with x
First, we need to calculate the total charges for the veteran tutor for x hours;
[tex]Total = 15 + 60x[/tex]
Next, we need to calculate the total charges for the college graduate tutor for x hours;
[tex]Total = 45x + 50[/tex]
For them to earn the same amount, we have:
[tex]15 + 60x = 45x + 50[/tex]
Solving for x
[tex]60x - 45x = 50 - 15[/tex]
[tex]15x = 35[/tex]
Divide through by 15
[tex]x = \frac{35}{15}[/tex]
[tex]x = 2.33\ hours[/tex]
what is the distance between 4, 6 and 3,2
Answers
Answer:
Distance = 4.1231
Step-by-step explanation:
D = √((x2 - x1)^2 + (y2 - y1)^2
D = √((3 - 4)^2 + (2 - 6)^2)
D = √((-1)^2 + (-4)^2
D = √1+16
D = √17
D = 4.1231
Jonah is hosting a
party at his house. He
is charging $10 per
person and he has to
pay the DJ $180 for
the night. How many
people attended if he
ended up with $500
when the night was
over?
Answers
Answer: 32 people
Step-by-step explanation:
500-180=320
320/10=32
Answer:68 People
Step-by-step explanation: This is because if he ended up with $500 by the end of the night, this is after he paid the DJ. So we assume he paid the DJ so we add $180 to what he ended up with that night. That adds up to $680 so $680 is the amount he made that night from the people coming in. Divide that by 10 to get the amount of people, and you get 68. So 68 people came to his party.
108 students going on a field trip to pan for gold if they are going in bands that holds five students each how many Vans are needed how many students will ride in the van isn't full
Answers
If you were to divide 108 by 5, then you would get 21.3 . That 3 is the remaining children, therefore, to fit them in the trip, you would need another van, hence, 22 vans. The van that is not full would have 3 children in it.
Which expression is equivalent to 3/x+2 + 5/x-4
A. -2x+22/(x+2)(x-4)
B. 2x-2/(x+2)(x-4)
C. 8/(x+2)(x-4)
D. 8x-2/(x+2)(x-4)
Answers
Answer:
A.−2x2+18x−88x+2
B.2x2+2x+8x+2
C.8x−32x+2
D.8x2+14x+8x+2
Step-by-step explanation:
