Answers:
Domain = {c, d}f/g = { (c, 1/2), (d, 1/2) }============================================================
Explanation:
The domain of f: {a,b,c,d} which is drawn from set A.
The domain of g: {a,c,d,e} which is drawn from set B
So far, we can see the possible inputs are: a,b,c,d,e
Let's go through each lowercase letter of the given sets
If 'a' is plugged into f/g, then we'll have 0 in the denominator due to the ordered pair (a,0) in function g. This causes a division by zero error so the input 'a' is not allowed in the domain of f/g.If we tried b, then it would work for function f, but it doesn't work for function g. If we tried to compute g(b), then the result is undefined. This is because the lowercase b input is not found in set uppercase B which is where function g selects its inputs from. So b is eliminated.The input c does work however. f(c) = 2 because of the ordered pair (c,2) in the function f. Similarly, g(c) = 4. This means f/g = 2/4 = 1/2 when the input is c. This shows that c is a valid input in the domain of f/g.The input d is pretty much the same story as input c. Moreover, the input d leads to the same output as c does. This time we have f/g = 4/8 = 1/2 when the input is d. Therefore, d is another valid input in the domain of f/g.The input e is not valid because (e,0) will lead to a division by zero error, as it's part of the g(x) function. So we must eliminate 'e' as a valid option in the domain. Even if we didn't have a division by zero error, we still have the fact that 'e' is not in the domain of the first function f. This is another reason why f/g is not defined when the input is 'e'.To summarize, only inputs c and d are valid in the domain.
The domain is the set {c, d}
Both inputs in the domain lead to the output 1/2. This means the range of f/g is {1/2}. Despite having just one element inside, we must use curly braces to indicate we have a set.
The function f/g is { (c, 1/2), (d, 1/2) }
We simply list all of the (x,y) ordered pairs to describe the function. In this case, there are only two such pairs.
Sarah is going to pay for an item using gift cards. The clerk tells her tht she will need 2 gift cards and as additional $3 to pay for the item.
Write an algebraic equation to find the cost for any amount of gift cards
Answer:
Step-by-step explanation:
t=2g+3.
Plz help
Elimination method
1.
3x-5y=3
4x-15=-21
2. 1000 tickets were sold for a school play. The regular price tickets were $5. Tickets for reserved seating was $2 more. The box office took in a total of $5300. How many tickets of each type were sold?
Answer:
1. (6,3)
2. x = 850, y = 150
Step-by-step explanation:
1. 3x-5y=3
4x-15y=-21
-9x +15y=-3 (multiply by -3)
4x-15y=-21
-5x=-30
x = 6
3(6)-5y=3
18-5y=3
-5y= -15
y= 3
so, x = 6, y = 3
2.
let x be regular
let y be reserved
x+y=1000
x= 5, y= 5+2=7 ("2 dollar more")
5x+7y=5300
x+y=1000
use the elimination method
x=850, y=150
so, the regular tickets were 850 and reserved tickets were 150 sold.
A display case of plastic bracelets are marked 13 for $3. If Nate has $60, how many plastic bracelets can Nate get? (assume no other taxes or fees)
Answer:
$4
Step-by-step explanation:
We can write a ratio to solve
15 stickers 30 stickers
----------------- = -------------
2 dollars x stickers
Using cross products
15x = 2*30
15x = 60
Divide by 15
15x/15 = 60/15
x = 4
Find the length of AB
Answer:
52
Step-by-step explanation:
AB is the hypotenuse of the right triangle
sin34 = opp/hyp = 29/hyp
hyp = 29/sin34 = 51.860457849...
Answer:
[tex]let \: |ab| \: be \: x \\ \\ \frac{ \sin(90) }{x} = \frac{ \sin(34) }{29} \\ x \sin(34) = 29 \sin(90) \\ x = \frac{29 \sin(90) }{ \sin(34) } \\ x = 51.86(2.d.p) \\ |ab| = 51.86[/tex]
3.0040916 to the nearest hundred thousandth
Answer:
3.004
Step-by-step explanation:
If you were to round it like this: 3.0041, the thousands place would still be 4, so it would come out to be 3.004. Hope that helps!!
Which equation does not have the same solution as the others
×/3 =3
X + 9 = 12
11 x= 33
X - 2 = 1
Answer:
the first cuz in
x/3 = 3
x = 9
and in others x = 3
...............
Answer:
x/3=3
Step-by-step explanation:
because is undiferned because x can not be x/3=3
One week, Rachel earned $250. She spent $120 on food, $30 on miscellaneous items, and saved the rest.
If Rachel makes a pie chart showing how she spends her money, the central angle for the food sector would be __________.
187°
173°
90°
144°
Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).
In slope intercept form
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~~
m = - [tex]\frac{1}{2}[/tex]
( - 10, 1 )
y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]
y - 1 = - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)
y = - [tex]\frac{1}{2}[/tex] x - 4
find the defference between 5 2/7 and 2 2/4
Answer: 39/14
Step-by-step explanation:
Given
5 2/7 - 2 2/4
Convert mixed fraction to improper fraction
5 2/7 = (5 × 7 + 2) / 7 = (35 + 2) / 7 = 37/7
2 2/4 = (2 × 4 + 2) / 4 = (8 + 2) / 4 = 10 / 4 = 5/2
Find the common denominator for 37/7 and 5/2
First 10 multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
First 5 multiples of 7 = 7, 14, 21, 28, 35
Since 14 is the first common multiple in the lists, 14 would be the common denominator of 37/7 and 5/2
Convert to the common denominator
(37 × 2) / (7 × 2) = 74 / 14
(5 × 7) / (2 × 7) = 35 / 14
Simplify by subtraction of numerator
=74/14 - 35/14
=(74 - 35) / 14
=[tex]\boxed{\frac{39}{14} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
what is 0.4 repeating written as a fraction
Answer:
0.4 as a fraction would be 2/5
Answer: 4/9
Step-by-step explanation:
Does this picture indicate that < JAC =
Answer:
No
Step-by-step explanation:
<JAC = 93
< DBE = 90
The two angles are not equal
The university of Michigan football stadium can hold 107,601 people. Michigan states football stadium can hold 75,001 people. 51,000 people can fit in the football stadium at the university of North Carolina and 40,004 people can fit in duke universities stadium which is also in North Carolina. How many more people can fit in the stadiums in Michigan combined than in the stadiums in North Carolina combined
Answer:
56,601
Step-by-step explanation:
If a metallic cylinder having volume 1540 cm^3 is melted to form cylinder having height 10 cm what is radius of cylinder
Answer:
radius is 7 cm
Step-by-step explanation:
formular for volume:
[tex]V = \pi {r}^{2} h [/tex]
r is radius
h is height
[tex]1540 = 3.14 \times {r}^{2} \times 10 \\ {r}^{2} = 49.0 \\ r = 7 \: cm[/tex]
find the derivative of the function y= x^20
Answer:
Step-by-step explanation:
[tex]\frac{dy}{dx} =20x^{19}[/tex]
Simplify addition radical expression
√36+√64
Answer:
14
Step-by-step explanation:
√36+√64
√36=6
√64=8
6+8
14
THANK YOU
calculate the absolute value
| 4 - 3x | = 5x + 4
Recall the definition of absolute value:
• |x| = x if x ≥ 0
• |x| = -x if x < 0
So we have 2 cases to consider:
• If 4 - 3x ≥ 0, then |4 - 3x| = 4 - 3x, and we have
4 - 3x = 5x + 4
8x = 0
x = 0
• If 4 - 3x < 0, then |4 - 3x| = -(4 - 3x) = 3x - 4, which gives
3x - 4 = 5x + 4
2x = -8
x = -4
However, keep in mind that |x| is always non-negative. If x = -4, then the right side of the equation becomes
5(-4) + 4 = -20 + 4 = -16 < 0
so the solution in this case is extraneous.
Select all of the answers below that are equivalent to G = {Nelson, Niven, Lazenby, Dalton, Moore, Brosnan, Connery, Craig}
Answer:
Step-by-step explanation:
Can we get the Answer's to see. Thanks.
Solve using substitution.
6x + y = 7
8x + 9y = 17
(_,_)
Please help me I really need it
Is square root of 11+10 a rational or irrational number
Answer:
Irrational Number is the answer
Answer:
[tex] \sqrt{11 + 10} = \sqrt{22} = 4.69041576 [/tex]
THIS IS IRRATIONAL
Step-by-step explanation:
The correct answer is irrational and the reason for that is the decimals for sqrt of 22 are non-recurring, are non-terminating and lastly it cannot be expressed in a form of a fraction.
I hope this makes sense
:)
Find the smaller of 2 consecutive even integers if the sum of twice the smaller integer and the larger
integers is -16.
Answer:
n = -6
Step-by-step explanation:
2n + (n + 2) = -16
3n + 2 = -16
3n = -18
Show Work! There are 380 students, teachers, and chaperones going on school buses for a field trip. Each school bus can hold 68 passengers. Everyone will ride on a school bus. How many school buses does this group need?
Answer:
6 buses
Step-by-step explanation:
i believe you just have to divide 380/68
then it'll give you 5.5 and then have to round to the nearest integer
find the length of BE BC=3x+47 DE=10 BD=x+27 CE=x+26
Answer:
B____C____D_____E
BC+ CE = BD + DE
(3x+47) + (x+26) = ( x+27) + (10)
4x + 73 = x + 37
4x – x = 37 – 73
3x = ‐ 36
x = – 36/ 3 —> x = – 12
BC = 3x + 47 = 3(-12) + 47 = - 36 + 47 = 11
BD = x+ 27 = –12+27 = 15
CE = x + 26 = –12+26= 14
So; BE = BD+ DE = 15+ 10= 25Or ;BE= BC + CE = 11+ 14 = 25I hope I helped you^_^
The product of two whole numbers is 588 and their sum is 49. What are the two numbers?
Answer:
Here is your answer. HOPE THIS HELPS YOU! STAY BLESSED.
Answer:
28,21
Step-by-step explanation:
let the numbers be x and y
x+y=49
y=49-x
xy=588
x(49-x)=588
49x-x²=588
x²-49x+588=0
[tex]x=\frac{49 \pm \sqrt{49^2-4*1*588} }{2*1} \\=\frac{49 \pm \sqrt{2401-2352} }{2} \\=\frac{49 \pm\sqrt{49} }{2} \\=\frac{49 \pm 7}{2} \\=\frac{49+7}{2} ,\frac{49-7}{2} \\=28,21[/tex]
Theresa and her nine classmates took a standardized test. Their scores were: 88, 49, 92, 47, 61, 94, 94, 76, 79, and 92. Theresa received an 88 on the test. Which percentile is she in
Answer: 60th
Step-by-step explanation:
First order the values from least to greatest:
47, 49, 61, 76, 79, 88, 92, 92, 94, 94.
We can note that the 88 is the 6th of 10 values, so 6/10 = 0.60 or the 60th percentile.
Theresa is in 60 percentile.
What is standardized test?A test that is administered and scored in a consistent, or "standard," manner is known as a standardized test. The questions and interpretations on standardized tests are designed to be consistent and are administered and scored in a predetermined, standard manner.
A standardized test is one in which the same test is given to all test takers in the same way and graded in the same way for everyone.
Given scores
88, 49, 92, 47, 61, 94, 94, 76, 79, and 92.
arrange in increasing order,
47, 49, 61, 76, 79, 88, 92, 92, 94, 94
Theresa got 88, which is sixth term
percent = term x 10
percent = 6 x 10 = 60%
Hence, she is in 60%.
Learn more about standardized test;
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Which of the following statements are true? Select all that apply. A. 1,000 is both a perfect square and a perfect cube. B. 27 is a perfect cube. C. 6 is neither a perfect square nor a perfect cube. D. 9 is a perfect cube. E. 36 is a perfect square.
Answer:
C
E
Step-by-step explanation:
A cube has a volume of 125 cubic inches. What is the length of each edge?
Enter your answer in the box.
(Needs to be in inches)
The formula for the volume of a cube is V = a^3.
We know the volume is 125 cubic inches.
125 = a^3
Take the third square root
5 = a
The length of each edge is 5 inches
Answer:
So the length of the edge of a cube with a volume of 125 is 5 inches
Step-by-step explanation:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power.
So if we take the edge of the cube to be of length x, then:
Volume=x3
125=x3
5=x
What are the domain and range of the function below?
PLZ help me i hate algebra 2 and i started school last week
Answer:
According to the graph the point (0, 4) is the maximum of the function.
So the domain:
x = [0, +∞)The range:
y = (-∞, 4]Help please! Describe how figure 20 will look like
9514 1404 393
Answer:
Each colored block in Figure 20 will be a 20×20 square of smaller squares of the same color. The red-green pattern will be identical.
Step-by-step explanation:
Each colored block in Figure N is an N×N array of small blocks the same color. The pattern of red and green N×N blocks is the same from one figure to the next. We expect Figure 20 to fit this description.
How many hours will a car use to travel at speed of 10km per hour if the distance is 2 miles
Find the quotient.
154 divided by 14
Answer:
11
Step-by-step explanation:
[tex]\frac{154}{14} =11\\\\check: 11*14=154[/tex]
154 divided by 14 equals 11.
To find the quotient of 154 divided by 14, we perform long division as follows:
11
14 | 154
First, we consider how many times 14 can be divided into 15, which is 1. We write the quotient, 1, above the line.
Next, we multiply 14 by 1, which equals 14. We subtract 14 from 15, resulting in 1. We bring down the next digit, which is 4.
We now consider how many times 14 can be divided into 14, which is 1. We write the quotient, 1, next to the 1 above the line.
Multiplying 14 by 1 gives us 14. Subtracting 14 from 14 gives us 0.
Since there are no more digits to bring down, we can conclude that the quotient is 11.
Therefore, 154 divided by 14 equals 11.
Long division is a method used to find the quotient and remainder when dividing two numbers. It involves dividing, multiplying, subtracting, and bringing down digits until there are no more digits to bring down. In this case, the quotient is 11, indicating that 154 can be divided by 14 precisely 11 times without any remainder.
To learn more about the division;
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