Directions: Determine whether each relation is a function. Explain your answer.
X
12)
10)
#IN
13)
x
14)
15)
10
1
Answers
Therefore ,We can infer the following from the rule for when a relation represents a domain and range : 16) Is not a function. 18) Is not a function, while 17) Is one.
What is a domain?The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these numbers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully used to produce a single value of y by using the value of x.
Here,
we have that for this issue:
It is not a function in item 16 since input 5 is translated to outputs 2 and 4.
Item 17 is a function since each input is assigned to a single output.
It is not a function in item 18 since input -2 is mapped to outputs 13 and 15.
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Related Questions
The market research department of a Company recommends that the Company to manufacture and market a new transistor radio after suitable test. The marketing department also presents the following demand equation.X=5,000-500P i.e. P=10-X/500
Furthermore, the financial department provides the following cost equation: C(X) = 7, 000 + 2x
Using derivatives Find Marginal cost, Marginal revenue and Marginal profit of the company.
Answers
The market research department of a Company recommends that the Company to manufacture and market a new transistor radio after suitable test. The marginal cost of the company is 7000 - 2X and marginal revenue is 10X - X/250.
What is Marginal Cost?Marginal cost is an extra cost per unit incurred when an extra unit of output produced or service rendered. Or in other words it can be said that marginal cost is an element of additional unit cost that incurred due to production of goods or services. Some time it is also considering as relevant cost or variable cost.
So in order to compute the transistor manufacturing company's marginal cost, marginal revenue and marginal profit of the company one shall equated the derivative function between them.
In micro economics technical relationship between the said marginal terms is written through derivative function:
Revenue = Price × Quantity Demanded,
Profit Maximize Point where Marginal cost is equal to marginal revenue;
MR = MC,
The marketing department also presents the following demand equation:
X = 5,000 - 500 P
P = 10 - (X ÷ 500), where P is Price and X is quantity demand.
Furthermore, the financial department provides the following cost equation:
C(X) = 7, 000 + 2x
So the revenue function by the help of substitution method:
X = 5,000 - 500 P
Revenue = Price × Quantity Demanded,
Revenue = 10 - (X ÷ 500) × X
= 10X - X^2 ÷ 500
Marginal Revenue! = 10X - !2X/500 = 10X - X/250
Marginal Cost = 7, 000 + 2 (5,000 - 500 P)
= 7000 + 10000 - 1000 P
= 17000 - 1000 ( 10 - (X ÷ 500))
= 17000 - 10000 - 2X
= 7000 - 2X
Therefore marginal revenue is revenue or additional earning made by a seller by selling an extra unit. Revenue is earned when extra unit is being sold.
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HELP ASAP PLS
Question 2 of 5
Select all the correct answers.
Which expressions are prime polynomials?
Answers
Answer: There is no picture
Step-by-step explanation:
calculate the total area of the walls of a hospital ward 5m long, 4m wide and 2 and half metres high
Answers
Answer:
40
Step-by-step explanation:
3) A private golf course offers cart rentals for $22 and a round of golf at $1.35 per hole for non-members. After purchasing a box of golf balls at $14.95 and a bottle of Gatorade for $3.25, your total cost was $64.50. How many holes of golf were you able to complete?
Answers
Answer:
18 round of golf
Step-by-step explanation:
r = # rounds of golf
(22 + 14.95 + 3.25) + 1.35r = 64.50
40.20 + 1.35r = 64.50
1.35r = 24.30
r = 18
Answer:
18 kkkkkkkkkkkkkkkkkkkk
Can someone help me please
Find the solution to the system of equations.
y=-2x+7
y=5x-7
Answers
y
=
−
2
x
+
7
;
y
=
5
x
−
7
Step: Solve
y
=
−
2
x
+
7
for y:
y
=
−
2
x
+
7
Step: Substitute
−
2
x
+
7
for
y
in
y
=
5
x
−
7
:
y
=
5
x
−
7
−
2
x
+
7
=
5
x
−
7
−
2
x
+
7
+
−
5
x
=
5
x
−
7
+
−
5
x
(Add -5x to both sides)
−
7
x
+
7
=
−
7
−
7
x
+
7
+
−
7
=
−
7
+
−
7
(Add -7 to both sides)
−
7
x
=
−
14
−
7
x
−
7
=
−
14
−
7
(Divide both sides by -7)
x
=
2
Step: Substitute
2
for
x
in
y
=
−
2
x
+
7
:
y
=
−
2
x
+
7
y
=
(
−
2
)
(
2
)
+
7
y
=
3
(Simplify both sides of the equation)
Answer: x=2 and y=3
Estimate the measure of ∠FBE in the diagram.
10° ,
30°
90°
80°
Answers
Answer:
Im not sure but I think it's 30⁰
PLEASE HELP ME ITS MULTIPLE CHOICE
Answers
Answer:
Step-by-step explanation:
The answer is class D so number 4
Please help me please !!!!!
Answers
Answer: D; 2.72
Step-by-step explanation:
solve for n...
5.6 + 1.4n = 2.4n + 2.88 (expanding brackets)
2.72 = 1n
n = 2.72
Answer:
D - It is the n value. Now do the math...
Other Characters (Warning Ahead : SPAM) :
fnewdnfiweashuiashdlhashcjkdahiufchasi
PLEASE HELP! FOR 10 POINTS. CLASSIFY THE TRIANGLE ON ANGLE AND SIDE LENGTH, WHAT IS THE ANSWER AND HOW CAN I SOLVE IT? SHOW UR WORK OR EXPLAIN THANKS
question classify the triangle based on the angle measured and side length
Answers
Answer:
Right Isosceles triangle
Step-by-step explanation:
The Square on the triangle represents a right angle
An Isosceles triangle is a triangle that has 2 sides equal and 1 a different length
Write a piecewise-defined function for this graph please!
Answers
The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The equation of the line that passes through (-3, 1) and (2, -2) is given as,
(y + 2) = [(- 2 - 1) / (2 + 3)](x - 2)
y + 2 = - (3/5)x + 6/5
y = -(3/5)x - 4/5
The equation of the line that passes through (2, -2) and (4, 3) is given as,
(y + 2) = [(3 + 2) / (4 - 2)](x - 2)
y + 2 = (5/2)x - 5
y = (5/2)x - 7
The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.
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Five weeks after the introduction of a new toy, the manufacturer found that the demand for the toy was modeled by f(x) = x^2 +5x+4/x^2+6x-7 - 1/x , while the company s supply capability was modeled by g(x) = - 0.89x^2 +850x -50/(800x+70.5. Here x is the number of weeks the toy has been on the market, and values of f(x) and g(x) are in millions of toy units. About how many weeks after the toy was introduced did supply equal demand? Round to the nearest whole number of weeks.
Answers
Answer:
76 weeks
Step-by-step explanation:
smldknsdljfisdiofidslfofnjfniour
Which table represents the function y = 2x + 4?
Answers
Answer:
I believe the answer is C, however I'm not completely sure. Let me know if I can fix it! I'm not 100% sure, I'm sorry if it's wrong!
Step-by-step explanation:
I hope this helps, please remember to give five stars, press the heart, and mark brainliest. If you need any more help, please let me know!
*optional* amos: tealyn337
find the quotient if 3.5 is divided by 14
Answers
Answer:
1/4
Step-by-step explanation:
3.5 = 3 1/2 = 7/2
7/2 ÷ 14 = 7/2 × 1/14 = 1/4
The quotient is 1/4
3.5 = 3 1/2 = 7/2
7/2 ÷ 14 = 7/2 × 1/14 = 1/4
What is problem-solving?
Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
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The foot, the pound, and the gallon are all example of ______ units. This system of measurement was first devised in England
Answers
Pls help I’m rlly confused. The question says “find the value of x using complementary angels” ty <3
Answers
Answer:
x=83. please look below for explanation. if anything isn't clear, please ask
Step-by-step explanation:
so complementary means adding up to 90 degrees in math. in this particular equation, you have to make sure that both (x-18) and 25 add up to 90.
if that other side is 25 degrees, the other side must be 65 because 90-25=65.
so now you have to set those equal to each other like this:
65 = (x-18) now just solve for x
add the 18 to the other side. the -18 and +18 cancel.
x=83
so to test and to see if that is right, we can do
83-18 = 65
does 65+25 equal 90? yes
therefore, x=83
can someone help i will give brainliest
Answers
Answer:
24
Step-by-step explanation:
the rate of change is represented by the 24, just like in the slope-intercept equation y = mx + b, where "m" represents the slope, or rate of change.
three friends equally share 1/2 of a pizza. how much of the pizza does each friend get
Answers
Solution: 1/2 of a pizza x 1/3 friend = 1/6 pizza per friend.
pls help me i will mark brainliest i just need the right answer
Answers
Answer:
A = 34.84
Step-by-step explanation:
6.7 * 5.2 = 34.84
Answer:
38.84
Step-by-step explanation:
l×w=area, so 6.7 times 5.2 is 38.84. Hope this helps :)
6. Which expression is equivalent to 22 ? HURRY HELP FAST
Answers
Answer: 22+(-3)
Step-by-step explanation:
In the figure shown, AB and CD are parallel. AB and CD are intersected by EH at points F and G, respectively. The measure of LEFA is (x - 5)°, and the measure of ZDGF is (73x - 365) °. What is the measure, in degrees, of ZDGH?
Answers
The value of the variable 'x' is 273/27. Then the measure of the angle ∠DGH will be 2.43°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
The diagram is given below.
Then the equation is written as,
∠EFA + ∠DGF = 180°
x - 5 + 73x - 365 = 180°
74x = 550
x = 273/27
Then the measure of the angle ∠DGF is given as,
∠DGF = 73(273/27) - 365
∠DGF = 177.57°
Then the measure of the angle ∠DGH will be calculated as,
∠DGH + ∠DGF = 180°
∠DGH + 177.57° = 180°
∠DGH = 2.43°
The value of the variable 'x' is 273/27. Then the measure of the angle ∠DGH will be 2.43°.
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Two number cubes were rolled 10 times, and the sum of each roll was recorded in the table.
Answers
Answer:
pls give a bigger view of the table
Step-by-step explanation:
Computer the following some, Thanks !
Answers
Answer:
184233
Step-by-step explanation:
651∑n=1 88+0.6(n-1)
651∑n=1 88 + 651∑n=1 0.6(n-1)
(651)(88) + 0.6(651∑n=1 (n-1))
57288 + 0.6((651∑n=1 (n))-(651∑n=1 (-1))
57288 + 0.6((651)(652)/2+(651)(-1))
57288 + 0.6(212226-651)
57288 + 0.6(211575)
57288 + 126945
184233
8x +1 =7x +5
Please help me
Answers
Answer:
x = 4
Step-by-step explanation:
i. 8x + 1 = 7x + 5
ii. 8x - 7x = 5 - 1
iii. x = 4
80% of 50 children passed a test. How many did not pass?
Answers
Answer:
10 children
Step-by-step explanation:
?/50 = 80/100
Multiply 50 by 80 then divide by 100
50 times 80 = 4,000 divided by 100 is 40
40 children passed the test
Now subtract 40 from 50 to get 10
10 children did not pass the test
HELP FAST 45 POINTS WILL GIVE BEST ANSWER BRAINLIEST
Answers
Answer:
1343.42 in³
I am sure about this answer because I had this in my syllabus last year.
Answer:
Vtotal = (vol of prism) + (1/2)(vol of cylinder)
volume of prism = 9×10×11 = 990 in^3
volume of cylinder = pi×(5in)^2×(9in)
= 225pi in^3
Therefore, the total volume is
Vtotal = 990 in^3 + (1/2)(225pi in^3)
= 1343.4 in^3
***** 6. A certain movie is 105 minutes long. It started at 6:15 pm. During the movie, there were two commercial breaks, one lasting 9 minutes and one lasting 6 minutes. At what what time did the movie finish
Answers
According to the given conditions in the question, the movie did finish at 8:15pm exactly.
What is the average movie length in hollywood?The average movie length of movies in hollywood is around 120 -130 mins per movie. However this fact can vary as per the genre and type of the film.
How are movies helping to improve world economy?The movie business, usually referred to as the film industry, has a big influence on the economy. For those involved in the industry, such as performers, directors, camera operators, sound technicians, special effects designers, and theater owners, the creation and distribution of films can result in jobs and financial gain.
The local economy can benefit from the tourists that movies can bring to an area where a movie is being made or is located. The money made by persons employed in the film business is likely to be spent on other goods and services, stimulating extra economic activity. As a result, the film industry may also have a "multiplier impact" on the economy.
So according to the question, the movie itself started at 6:15 pm, and it lasted for 105 mins , also adding the time for commercials of 9 mins and 6 mins , which ultimately added 15 more mins, the total screen time would be ,
105 + 15 = 120 mins
Which is equal to 2 hrs, so the movie finished at 8:15 pm.
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Solve for d
3/2 = 5d - 1/2
Answers
Answer:
d = 0.4
5*0.4 = 2
2 = 4/2
4/2 - 1/2 = 3/2
Operation research is the application of which methods to arrive at the optimal solution to the problems?
Answers
Answer:
BEDMAS
Step-by-step explanation:
first: inside the bracket.
second: exponent
third and fourth :division or multiplication. Wich come first.
last :addition or subtraction. Wich come first .
Please help, I will mark you brainiest, thank you!!
Answers
110-30=80/8=10
Your answer is x = 10
I need help with question
Answers
Answer:
20
Step-by-step explanation:
Scale factor = 8/16 = 1/2
So, 10/x = 1/2
x = 10*2
x = 20