Let A = {a, b, c, d}, B = {a, c, d, e}. Let f : A → R and g : B → R such that f = {(a, 1),(b, 2),(c, 2),(d, 4)} and g = {(a, 0),(c, 4),(d, 8),(e, 0)}. State the domain and find: f/g
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.
2ja bag has 3 red and 6 green balls. Two
balls are drawn from the bag one after the
other without replacement. What's the
probability of having a green ball drawn
both times
Answer:
5/12
Step-by-step explanation:
Probability of drawing green ball on the first time=6/9=2/3
Probability of drawing green ball on the second time=5/8
Probability of having a green ball drawn
both times=(2/3)*(5/8)=10/24=5/12
Daria needs to fill 4 gift baskets equally with bags of candy and boxes of cookies. She has 12 bags of candy and 8 boxes of cookies and wants to give all of them away.
Which expression should be used to determine the total number of bags of candy and boxes of cookies she will place in each basket?
A. (12 + 8) times 4
B. 12 + (8 divided by 4)
C. (12 divided by 4) + (8 divided by 4)
D. (12 + 8) divided by (8 + 12)
Answer:
C
Step-by-step explanation:
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Plsssssssssssssssss help fast
Answer:
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How long will it take a car that is travelling with a speed of 45m/s to travel a
distance 500m?
Answer:
time=distance/speed
time=500/45
time=11.11 sec
Answer:
11 1/9 seconds = time
Step-by-step explanation:
We know that
Distance = rate * time
500 m = 45 m/s * time
Divide each side by 45
500/45 = time
11 1/9 seconds = time
A man spent 58% of his income and the amount left was GHC 210,000.00
find his income.
Answer:
Step-by-step explanation:
$211000 are 100% - 58% = 42% of the (former) income.
Therefore, 1% is 42 times less: 211000/42 = 5023.81,
and the (former) income was 100 times this value, i.e. GHC 502381.
5. Tristan wants to build a square garden in his backyard that will cover an area of 75 ft². If Tristan has 32 feet of material for the perimeter of the garden, does he have enough? Explain.
Lets find side
Area=75ft^2[tex]\\ \sf\longmapsto Area=(side)^2[/tex]
[tex]\\ \sf\longmapsto (side)^2=75[/tex]
[tex]\\ \sf\longmapsto side=8.3ft[/tex]
Perimeter
[tex]\\ \sf\longmapsto 4(side)[/tex]
[tex]\\ \sf\longmapsto 4(8.3)[/tex]
[tex]\\ \sf\longmapsto 33.2[/tex]
He has 1.2ft short material6. (09.02 MC)
An object's velocity is defined by the vector-valued function v(t)
= (In(t –2), e^(2t-t^2))
What is the acceleration vector a(t) at t(3)? (10 points)
O
01-14
O
O
Answer:
Hello,
Step-by-step explanation:
[tex]v_x(t)=ln(t-2)\ \Longrightarrow\ a_x(t)=\dfrac{1}{t-2} \\\\v_y(t)=e^{2t-t^2}\ \Longrightarrow\ a_y(t)=e^{2t-t^2}*(2-2t)\\\\t=3\ i\ suppose\ \\\\a_x(3)=\dfrac{1}{3-2}=1\\\\a_y(t)=e^{6-9}*(2-6)=-\dfrac{4}{e^3}[/tex]
Simplify. 2–3 Write your answer in the form a+b.
Answer:
2 + -3
Step-by-step explanation:
2 - 3 in the form a + b is:
2 + -3
where a = 2
and b = -3
The table below shows the price of rolls a bakeryA baker's dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker's dozen instead of 13 individual rolls? Please help
9514 1404 393
Answer:
(b) $0.60
Step-by-step explanation:
The cost is proportional to the number of rolls. It is $3.60/(6 rolls) = $0.60/roll. When you buy a Baker's Dozen, you save the cost of one roll: $0.60.
it's 0.60
have an nice nice nice nice day
Write 7,08 x 10" in standard notation
Answer:
70.8
Step-by-step explanation:
7.08×10 is 70.8
...............
Emmet went blueberry picking along a 3-mile walking path. He picked blueberries steadily along the walk. When he was finished, he had collected 50 ounces of blueberries.
How many ounces of blueberries did Emmet pick each mile?
Write your answer as a proper fraction or mixed number.
Answer:
16 2/3 ounces
Step-by-step explanation:
Emmet collected 50 ounces of strawberries along a 3 mile walk, he collected 50/3 = 16 2/3 ounces of strawberries each mile
What is the area of the rhombus shown below?
Answer:
54
Step-by-step explanation:
12*9/2=108/2=54mm^2
Eunice buys dog bed with a listed price of $31. Eunice uses a sale that provides 30% off. What is the total
final price Eunice pays?
A. $21.70
B. $23.70
C. $25.55
D. $28.10
Answer:
21.70
Step-by-step explanation:
First find the discount
31 * 30%
31 *.30
9.3
Subtract from the original amount
31 - 9.3
21.70
(2x+1)(3x+4)=0
2x+1=0 3x+4=0
Solve for both equations. What are the two x-values/answers going to be? Leave your answer in a simplified fraction.
(I don’t know what to do next)
Answer:
2x+1=0.
2x=0-1.
2x=-1.
2x/2=-1/2.
x=-2.
3x+4=0
3x=0-4
3x=-4
3x/3=-4/3
[tex]x = 1 \frac{1 }{3} [/tex]
Determine the rate the airplane
needs to travels to fly 2000 miles
in 5 hours
Answer:
the airplane needs to travel 400 mph to reach 2000 miles in 5 hours
Will give brainliest answer
Answer:
EquivalentNot equivalentEquivalentStep-by-step explanation:
For [tex]3^5^m[/tex]:
Just like [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex], [tex]3^5^m[/tex] equates to [tex]243^m[/tex].
For [tex]81^m[/tex]:
[tex]81^m[/tex] does not equate to [tex]9^{0.5m}[/tex] · [tex]9^{2m}[/tex].
For [tex]9^{2.5m}[/tex]:
After applying the exponent rule to the equation, it came out to [tex]9^{2.5m}[/tex].
How do you model a decimal using a fraction?
Answer:
The only reason I can’t type it right now it’s cause I’m doing something important so I’m so sorry if I hade to type this out but I’m a bit busy right now And I’m trying to answer as much questions as possible. Thank you
Step-by-step explanation:
Hope this helps you
Write down the decimal in fractions with the denominator 1.
We multiply the denominator and numerator by 10 for every number after the decimal point.
Simplify the fraction if needed.
Find the missing side, then, round to the nearest tenth.
Looking for help with this problem!
Answer:
4.6 = x the side opposite C would be 6.1
Step-by-step explanation:
you can use law of sine
you know you have a right triangle so the missing angle B = 49
4/sin41=x/sin49
Find the midpoint between each pair of points (-1,-5) and (-5,9)
Answer:
(-3,2) is the midpoint
Step-by-step explanation:
ok
Find the area.
D
36 m
1
180 m
N
37 m
A. 1100 m
B. 1066 m
C. 555 m
D. 338 m
Answer:
Area of triangle = 1/2×base×height
= 1/2×37×30
= 555m²
The area of the triangle with the given parameters is 555 m².
Given that, NE=37 m and height=30 m.
What is the formula to find the area of a triangle?The formula to find the area of a triangle is 1/2×b×h.
Where, b=base and h=height.
Now, Area=1/2×37×30=555 m².
Therefore, the area of the given triangle is 555 m².
To learn more about the area of a triangle visit:
https://brainly.com/question/22964077.
#SPJ2
HELP PLEASE!!!!
What is the slope of the line?
Answer: slope (m) = - 9/5
Step-by-step explanation:
Find two points = (-4,5) (1, -4)
The slope going uphill is positive and downhill is negative.
Slope m = (y-y)/(x-x)
(5- -4)/-4-1 = - 9/5
Also, start in one point go straight up or down counting, and then go left or right to the other point counting.
For what values of k will the equation 4x² + 8x + k = 0 have two complex solutions?
Answer:
k = -4x² - 8x
Step-by-step explanation:
Subtract 4x² from both sides of the equation.
8x + k = -4x²
Subtract 8x from both sides of the equation.
k = -4x² - 8x
Answer:
k > 4
Step-by-step explanation:
Using the discriminant to determine the nature of the solutions
• If b² - 4ac < 0 then the solutions are not real, that is they are complex
Given
4x² + 8x + k = 0
with a = 4, b = 8, c = k , then
8² - (4 × 4 × k) < 0
64 - 16k < 0 ( subtract 64 from both sides )
- 16k < - 64
Divide both sides by - 16, reversing the symbol as a result of dividing by a negative quantity.
k > 4
Any value of k greater than 4 will mean the equation has 2 complex solutions
An airport shuttle runs between terminals every 4 minutes with a fixed capacity of passengers. 250 people were in line as of 9:00 am. After the 29th shuttle trip departed, 424 people were in line. If 6 people per minute got in line after 9:00 am, what is the passenger capacity of the shuttle?
Answer:
18
Step-by-step explanation:
424-250 = 174
174/29 = 6
This means every time the shuttle came to pick people up there would be 6 people they couldn't take. So if the shuttle takes 4 minutes to come back and 6 people were to get in line per minute there would be 24 extra people waiting. So 24-x = 6, x=18
I did this equation to see how many people would have to go into the shuttle to leave an extra 6 remaining people in line
The sides in each pair of figures are proportional. Find the missing length.
Answer:
41. is c.
42. is d.
Step-by-step explanation:
ANSWER QUICK 75 POINTS!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: 3(2+9x)
Line 2: 3(9x+2)
Line 3: 27x+6
Line 1 to Line 2:__________
Line 2 to Line 3:__________
Answer:
Line 1 to Line 2:Commutative property of addition
Line 2 to Line 3:Distributive property
Step-by-step explanation:
Line 1: 3(2+9x) Given
Line 2: 3(9x+2) Commutative property of addition
Line 3: 27x+6 Distributive property
Answer:
Line 1-Line 2=Commutative property
Line 2-LIne 3=Distributive property
Step-by-step explanation:
Lets solve
[tex]\\ \rm\longmapsto 3(2+9x)[/tex]
Commutative Property[tex]\\ \rm\longmapsto 3(9x+2)[/tex]
Distributive property[tex]\\ \rm\longmapsto 27x+6[/tex]
The graph below represents the number of books Jaleel has read over the past x weeks.
Books Read
A graph with weeks on the x-axis and number of books on the y-axis. A line goes through points (0, 3), (1, 4), and (2, 5).
Which equation represents the graph?
y = x + 3
y = 3x
y = x – 3
y = one-third x
Answer:
y + x + 3
Step-by-step explanation:
each point adds an additional 3
B is your answer
Solve w = 9x + 5 y for y
Answer:
w-9x/5=y
Step-by-step explanation:
w=9x+5y
subtract 9x from both sides
w-9x=5y
divide by 5y
w-9x/5=y
What’s the coordinates pair
Answer:
(5, 35) and (25, 20)
Step-by-step explanation:
The question is saying that x = minutes spent watching videos and y = minutes spent playing video games. Gian has 45 minutes in total to spend. The equation for Gian spending y minutes playing video games if he spent x minutes watching videos would be 45 - x, since x minutes have been taken away from Gian's 45 minutes by watching videos.
Knowing this, if he spent 5 minutes watching videos (x) on Monday, that means he spent 40 minutes playing video games. So, the first coordinate point would go to (5, 40). On Tuesday, he spent 25 minutes watching videos, which would mean he spent 20 minutes playing video games. The second coordinate point would go to (25, 20).
I need some help with this. how many beats per minute?
The bottom row x axis) is seconds and goes to 6 seconds
Each peak is a heartbeat, there are 9 in the 6 seconds.
A minute is 60 seconds.
60 seconds / 6 seconds = 10
9 beats every 6 seconds x 10 = 90 beats per minute.
The heart rate is 90 beats per minute