Answer:
All of the examples define relations between a domain and range.
Such a relation will be a function if and only if each value in the domain corresponds to at most one value in the range.
In the first example, the value
−
1
in the domain is associated with two values in the range, namely
−
5
and
1
.
In the second example, the value
−
1
in the domain is associated with two values in the range, namely
7
and
1
.
In the third example, the value
3
in the domain is associated with two values in the range, namely
2
and
4
.
In the fourth example, each of the values in the domain is associated with one value in the range, so this describes a function. Note however that the values
−
4
and
−
7
are both mapped to
5
. So the function described is not one to one and consequently its inverse is not a function.
Hunter and Christopher were analyzing the graph shown . Both students identified the function to be represented by the, d=13h-75, where d is the amount of money in a checking account and h is the number of hours worked. Hunter explained the equation represented an original amount of $75 that decreased $13 for every hour. Christopher disagreed. He interpreted the equation as a person who was in debt $75 earned $13 every hour.
Using linear function concepts, it is found that Christopher is correct.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can be interpreted as the initial value.In this problem, the function is:
[tex]d = 13h - 75[/tex]
Considering the description of the output d as the amount of money in a checking account and of the input h as the number of hours worked, we have that:
For each hour worked, the person earns $13.Considering taxes, the person starts at a debt of $75.Hence, Christopher is correct.
You can learn more about linear function concepts at https://brainly.com/question/24808124
Please solve for brainliest.
Answer: The first four terms are 33/4, 63/8, 15/2, and 57/8.
Step-by-step explanation: To make it easier, turn 8 1/4 into an improper fraction: 33/4. 33/4=66/8. Because the denominator is the same, it’s easier to subtract.
66/8 - 3/8 = 63/8
63/8 - 3/8 = 60/8
60/8 - 3/8 = 57/8
The first 4 terms in the sequence are 66/8, 63/8, 60/8, and 57/8. But we’re not done b/c we need to simplify. That means the first four terms are 33/4, 63/8, 15/2, and 57/8.
The price of a technology stock has risen to $9.77 today. Yesterday's price was $9.68. Find the percentage Increase. Round your answer to the nearest tenth of a percent.
A rock is thrown upward with an initial velocity of 16ft/sec from an initial height 5ft. How much time does it take for the rock to hit the ground?
A. -0.25sec
B. 0.5sec
C. 1.25sec
D. 1.5sec
Answer: C
The amount of time it would take for the rock to hit the ground is 1.25 seconds.
Given the following data:
Initial velocity = 16 ft/secHeight = 5 ft.Scientific data:
Acceleration due to gravity (g) = 9.8 [tex]m/s^2[/tex]To determine the amount of time it would take for the rock to hit the ground, we would apply the parabolic function:
How to calculate the time.Mathematically, the parabolic function is given by this formula:
[tex]h(t) = -16t^2 +ut+h_0[/tex]
Where:
U is the initial velocity.a is the acceleration.[tex]h_0[/tex] is the height.t is the time.Substituting the given parameters into the formula, we have;
[tex]0 = -16t^2 +16t+5\\\\16t^2-16t-5=0\\\\(4t+1)(4t-5)=0[/tex]
Taking the positive value of t, we have:
[tex]4t-5-0\\\\4t=5\\\\t=\frac{5}{4}[/tex]
t = 1.25 seconds.
Read more on time here: brainly.com/question/24728358
Brainliest if correct
Answer:
x=9
Step-by-step explanation:
Using the second equation (y=54), we can substitute 54 for y to solve for x...
y=6x
54=6x
Divide both sides by 6
x=9
Answer:
x = 9
Step-by-step explanation:
Since y = 54
54 = 6x
Divide both sides of the equation by the same term
54/6=6x/6
Simplify
x = 9
[RevyBreeze]
Huang buys 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which expression represents the amount of change Huang should receive? Select three options.
100 – (12(3x))
100 – (3x+12)
(100 – 12) – 3x
(100 – 12)(x+x+x)
100 – (x+x+x) – 12
Answer:
B, C, E
100 - (3x+12)
(100 - 12) - 3x
100 - (x+x+x) - 12
Step-by-step explanation:
they are all saying the same thing, just rearranged and the last one is 3x expanded
12. What number is 20% less than 60?
The amount rupees 48 is 20% less than rupees 60.
Answer:
48
Step-by-step explanation:
Step 1: Multiply 20 by 0.6
20 × 0.612Step 2: Subtract 12 from 60.
60 - 1248can I have help pls
Answer:
D. II only
Step-by-step explanation:
The square root equations will each have only one real solution. (Sometimes, there is an extraneous solution if the variable is also found outside the radical.)
The rational equation will result in a quadratic when it is simplified. It will have two real solutions.
Only equation II will have two real solutions.
work out the area of the shape
Answer:
45cm^2
Step-by-step explanation:
we have two shapes in the diagram a square and a triangle so we find the area of each of them and add them together
finding the area of a square
we have area= s×s
area = 7×5
area = 35cm^2
finding the area of a triangle
1/2 ×b×h
1/2×4×5
area = 10cm^2
so we add together
total area = 35+ 10
area = 45cm^2
NEED HELP ASAP
Which statement correctly explains the association in the scatter plot?
Answer:
Negative relationship
Step-by-step explanation:
It is going in a negative direction.
Pls mark brainliest :)
Solve the proportion 3/4 = 9/x
PLEASE HELP ME PLEASE
Answer:
0.75 lb potato salad = $2.22
Step-by-step explanation:
If 1 pound of potato salad = $2.96
Then 0.75 pounds of potato salad = 0.75 x 2.96 = 2.22
please help! thanks in advance!
Please help! 25 points
Answer: Look at explanation
Step-by-step explanation:
32 = 2 x 2 x 2 x 2 x 2
27 = 3 x 3 x 3
16 = 2 x 2 x 2 x 2
No as 32 can be broken down to 8 and 4 and not just pime and not prime
NEED HELP!!
can someone please help me this work? I am so confused with this math problem. Thank you
Answer:
SOH CAH TOA
Little triangle first - hypotenuse is 4, now we used this info help us find the opposite.
Opposite & Hypotenuse - Sin
Sin(45) = O/H
Sin(45) = O/4
x 4 both sides, to get Opposite
Opposite = 4 x Sin(45)
= 2 root 2
= 2.8284.......
Big Triangle next,
Opposite is 2.8284......
Y is the adjacent
Opposite & Adjacent - Tan
Tan (30) = O/A
Tan(30) = 2.8/A
x A
A x Tan(30) = 2.8
÷Tan(30)
A = 2.8 ÷ Tan(30)
A= 2 root 6
A= 4.8989...
So, y is 5 to 1 significant figure
Or
Y = 4.9 to 1d.p
(Haven't rounded anything in my calculation, even though it's shown that way, in my workings. So, you can follow along)
Hope this helps!
It takes 20 minutes for a cow to be milked by a milking machine.
How many cows can be milked in 6 hours?
Answer:
18 cows can be milked in 6 hours
Step-by-step explanation:
hrs.=3
(PLEASE HURRY! will award brainliest)
Solve for x. Show your work.
Answer:
x = 8
Step-by-step explanation:
12 : 36
1 : 3
the distance is 3×, so
x = 26 ÷ 3
= 8
The area of an 17-cm-wide rectangle is 357 cm2. What is its length?
The length is
cm.
Given :-
The area of a rectangle is 357 cm².It's breadth is 17cm .To Find :-
The length of the rectangle.Solution :-
Here the area of the rectangle is 357cm² . As we know that the area of rectangle is ,
→ Area = length * breadth
On substituting the respective values ,
→ 357 cm² = 17cm * length
→ length = 357cm²/17cm
→ length = 21cm
Hence the length of the rectangle is 21cm.
I hope this helps.
Refer to the attachment!
A 12 sided die is rolled, find the probability of rolling a number greater than 4
Answer:
probability of rolling a number greater than 4
= 12/4 = 3
p(4) = 3
Mark as brainlest. Hope it helps...
Julia pays $4.56 to ship a package that weighs 8 ounces. What is the cost to ship one ounce?
Answer:
1.7543859649. . . . . . . .. .
Answer:
$0.57
Step-by-step explanation:
$4.56/8 = 0.57
so the cost to ship one ounce is $0.57
28 less than twice a number is equal to the number. What is the number?
Answer:
x = 28
Step-by-step explanation:
2x - 28 = x
-2x -2x
- 28 = - x
/-x /-x
28 = x
x = 28
help find circumference pls
Answer: 62.8
Step-by-step explanation:
2 x 3.14 x 10
Answer:
62.83
Step-by-step explanation:
2 x 3.14 is approx 62.83185 or 62.83
if im wrong let me know please.
nee answer asap plz im stuck
Which point represents the least value on the number line?
how do you do this as i get 42
46-2⁴÷(3-1)
Answer:
38
Step-by-step explanation:
[tex]46 - {2}^{4} \div (3 - 1) \\ 46 - 16 \div (2) \\ 46 - 8 \\ = 38[/tex]
first calculate whats in the brackets.
then divide
and lastly subtract
Identify a numerator that will make the number
sentence true.
3x blank/fifth=3
Answer:
Answer is 5
Step-by-step explanation:
You say 3 divided by 3 /5 = 5
Hope answer helps you
.
Solve the equation -8(x + n) = x for n.
Answer:
-x/8 - x
Step-by-step explanation:
Answer:
n = -(9/8)x
Step-by-step explanation:
Solve for n:
-8(x + n) = x-8x - 8n = x-8n = 9xn = -(9/8)x-Chetan K
Your family is going on vacation to Disney. It will cost your family $987 to travel there, plus $150 per day for tickets into the park. What is the greatest number of days you can stay at Disney while staying within their $3500 budget?
Answer:
They can stay 16 days.
Step-by-step explanation:
3500 - 987 = 2,513
2,513 divided by 150 = 16.7
*They can't stay 16.7 days, so you have to round down. Rounding up will go out of their budget.*
Checking answer:
16 x 150 = 2,400
2,400 + 987 = $3,387
- I'm sure this isn't how your teacher wants you to solve it but this is just how I solved it, I hope this helps!
Step-by-step explanation:
Equation: 987 + 150x = 3500
x represents the number of days the family is staying at the park.
Solve.
Subtract 987 from both sides:
[tex]150x = 2513[/tex]
Divide each side by 150:
[tex]x= 16.75[/tex]
16.75 is decreased to 16, it's impossible to stay for 16.75 days.
The family can stay in the park for 16 days.
A restaurant owner washed 87 kilograms of vegetables, some spinach and some carrots. The spinach came in 5-kilogram bags and the carrots came in 7-kilogram bags. The owner washed 15 bags of vegetables in all. How many bags of each kind did he wash?
Answer:
9 bags pf spinach, 6 bags of carrots
Step-by-step explanation:
x bags of spinach, y bags of carrots,
x + y = 15 (1)
weight of spinach = 5 * x, weight of carrots = 7 * x
5x + 7y = 87 (2)
From (1) y = 15 - x
Sub it into (2):
5x + 7(15 - x) = 87
5x + 105 - 7x = 87
2x = 105 - 87 = 18
x = 9
y = 15 - x = 15 - 9 = 6
So 9 bags pf spinach, 6 bags of carrots.
The water pipe of a house was leaking gallons of water per minute. What is the constant rate of water that is lost per minute according to the graph?
The locations of three fish relative to the water's surface are - 17 feet, - 10 feet, and -19 feet.
There is also a bird flying 12 feet above the water. Which distance has the least absolute value?
Answer:
-10
Step-by-step explanation:
I think you are asking which is the least distance from 0 which would just be -10