Is the relation shown in the table below a function? Explain.
Answer
No
Step-by-step explanation:
it is not a function because 9 and three are a pair but so are 27 and 3. that makes it not a function
No, the given relation is not a function. A function is a connection between inputs in which each input is connected to precisely one output.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.
Given, a table where points are denoted as inputs and outputs.
To prove the relation is a function:
A relation between a collection of inputs and outputs is known as a function.
A function is a connection between inputs in which each input is connected to precisely one output.
But here, input value of 3 have two outputs.
Which gives us contradiction.
Therefore, a given relation is not a function.
To learn more about the function;
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Item 6
Question 1
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=-11x+330, where x is the time (in seconds) since you first noticed the hot air balloon.
Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.
Answer:
Domain
[tex]x\in [0\,s,30\,s][/tex]
Range
[tex]h \in [0\,ft,330\,ft][/tex]
The h-Intercept represents the initial height of the balloon. The balloon has an initial height of 330 feet.
The x-Intercept represents the time when the balloon reaches the ground. The balloon takes 30 seconds to descend and reach the ground.
The slope represents the ratio of the change in the elevation of the balloon to the change in time. A slope of -11 means that balloon descends 11 feet per second.
Step-by-step explanation:
Both the time (domain), measured in seconds, and the height (range), measured in feet, are positive variables. The hot air balloon start at a height above and descends to the ground. Which means that domain and range of the function are, respectively:
Now we find the upper bound of the height of the hot air balloon. If we know that [tex]t = 0\,s[/tex], then the upper bound is:
[tex]h(0) = -11\cdot (0)+330[/tex]
[tex]h(0) = 330\,ft[/tex]
Range
[tex]h \in [0\,ft,330\,ft][/tex]
Now we find the upper bound of time. If we know that [tex]h = 0\,ft[/tex]. then the upper bound is:
[tex]-11\cdot x +330 = 0[/tex]
[tex]11\cdot x = 330[/tex]
[tex]x = 30\,s[/tex]
Domain
[tex]x\in [0\,s,30\,s][/tex]
The h-Intercept represents the initial height of the balloon. The balloon has an initial height of 330 feet.
The x-Intercept represents the time when the balloon reaches the ground. The balloon takes 30 seconds to descend and reach the ground.
The slope represents the ratio of the change in the elevation of the balloon to the change in time. A slope of -11 means that balloon descends 11 feet per second.
1/3-5/15-2/8+1/6=
(2/5-4/3):(5/4-2/6)+9/12)=
Answer:
is 13 giv brainliest PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
Solve. Explain your answers in the box below.
a. Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error.
600×300
6 hundreds × 3 hundreds =18 hundreds
600×300=1,800
b. Margaret said the exact product of 602 and 341 is 205,282. Is she correct? Use paper and the standard algorithm to support your reasoning.
Answer:
Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error. 600×300 6 hundreds × 3 hundreds =18 hundreds 600×300=1,800 b. Margaret said the exact product of 602
Step-by-step explanation:
i hoped it was right!
What is the value of x for this question?
Answer:
Step-by-step explanation:
3x + 3
6 + 2x
3x + 2x = 5x
3 + 6 = 9
5x + 9
True or False: the act of forming conclusions based on available information is a conjecture.
Lila and Nina are at college and spending their savings. Nina has $1,500 and is spending $80 a week. Lila has $600 and is spending $20 a week. Write and solve an equation that will figure out how long it will take for them to have the same amount of money.
So you can take this as a sequence. For Nina the term would be 1,500 and second be 1,420. So the equation for it would be -80n + 1580. For Lila it would be -20n + 620. 1,500 and 600ths highest common factor is 300. So it would take Nina 16 weeks. For Lila it would take 16 as well.
How do I graph these parabolas
Find the least common multiple for the following expressions.
6x^3 & 9x^6
help quick i’m timed
The area of the rectangular sheet is 500cm square. If the length of the sheet is 25cm, what is its width? Also find the perimeter of the rectangular sheet.
Answer:
20cm Perimeter: 90
Step-by-step explanation:
Hope this helps!(^-^)
Step-by-step explanation:
area of rectangular sheet is 500 CM square
length =25cm
area =l×b
500cm2=25cm×b
500cm2÷25cm=b
20cm=b
b=20cm
again,
perimeter =2(l+b)
perimeter =2(25cm+20)
perimeter =2×45
perimeter =90cm
A product is marked down 15%; the sale price is $127.46. What
was the original price?
Answer: $ 149.95.
Step-by-step explanation:A product is marked down 15%; the sale price is $127.46. What was the original price? Substitute 127.46 for S.P and 15 for m in (1). So, the original price is $ 149.95.
The original price of the product will be $149.95.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
A product is marked down 15%.
The sale price is $127.46.
Then the original price of the product will be
Let x be the original price.
(1 – 0.15)x = $127.46
0.85x = $127.46
x = $149.95
More about the percentage link is given below.
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At the local sandwich shop, employees earn double time for any hours worked in addition to their regular 39-hour
week. Last week, Cooper Jones worked his regular 39 hours plus 9 hours of overtime. Cooper is paid $23.90 per
hour. What is his total pay for the week?
Answer:
8,030.4
Step-by-step explanation:
Answer:
$287.04
Step-by-step explanation:
add 39 and 9 multiply the sum by $23.90 and then multiply by two and boom, $287.04
What expression is equivalent to (-18) - 64n
-18-64n
= (-2)×9 + (-2)×32n
Take (-2) common, we get
= (-2)( 9+32n)
Therefore,
-18-64n = (-2)(9+32n)
Answer:The other guy is right since this is a old question i wont answer it :P
Step-by-step explanation:
Enter the decimal represented by the shaded square.
The shaded square represents__?
HELP ASAP
Find the 15th term or the geometric sequence 7, -21, 63,
33480783
Step-by-step explanation:Finding the Common Ratio:
We know that the formula for the common ratio of a GP is:
r = aₙ / (aₙ₋₁) (Where n is any integer)
replacing the values, taking n=2
r = -21 / 7
r = -3
Solving for the 15th Term:
We know that the Formula for the nth term of a GP:
G(n) = a * r ⁿ⁻¹ (where a is the first term and r is the common ratio)
replacing the values (taking n = 15 since we need the 15th term)
G(15) = 7 * (-3)¹⁴
G(15) = 33480783
Hence, the 15th term of the given GP is 33480783
HELP PLEASE!!!!!!
Scalene
Isosceles
Equilateral
Answer:
1- Scalene triangle
2- Equilateral triangle
3- Isosceles triangle
4- Equilateral triangle
Here's the explanation if you need it :
For a scalene triangle, all the sides are different whereas an Equilateral triangle has equal sides. And finally for an Isosceles triangle, two sides are equal.
calvin buys a book for $14.70, which is a %30 discount off the original price
Identify the two missing sides of the 45-45-90 triangle
What is The Base Change Property?
Step-by-step explanation:
A formula that allows you to rewrite a logarithm in terms of logs written with another base. This is especially helpful when using a calculator to evaluate a log to any base other than 10 or e. Assume that x, a, and b are all positive.
reflecting the graph of y = cos x across the y-axis is the same as not reflecting it at all
Answer:
The graph of the equation x2+y2=0 in the three dimensional space is (A) x-axis (B) y-axis (C) z-axis (D) xy-plane
Step-by-step explanation:
please mark me as the brainliest answer and please please pleaseeee follow me
(3) There are 2 mixtures of light purple paint. Mixture A is made with 5 cups of
purple paint and 2 cups of white paint. Mixture B is made with 15 cups of purple
paint and 8 cups of white paint.Which mixture is a lighter shade of purple? Explain
your reasoning. *
Your answer
Answer:
Mixture A
Step-by-step explanation:
besause it uses less portion of white paint
Which of the following is a true statement concerning the use of a placebo?
A.
B.
C.
D.
Answer:
its B
Step-by-step explanation:
Find the slope of the line that contains the point (-8,3) and (4,1) show your work
Answer:
m=-1/6
Step-by-step explanation:
m=1-3/4+8=-2/12=-1/6
Question 1 (1 point)
A mail carrier divides 4,830 envelopes into boxes. Each box can hold a maximum of 50 envelopes.
What is the minimum number of boxes the mail carrier must use?
Answer:
97 boxes
Explanation:
4,830÷50= 96.6
You then have to round 96.6 up and you get 97.
To check your answer:
97×50= 4,850
Even though having 97 boxes leaves more room for envelopes, having 96 boxes will leave all the boxes full with remaining envelopes. 96 boxes isn't enough for 4,830 envelopes.
Question 8 (2 points)
15 is 25% of
Brank 1:
HELPPP MEEE
Answer:
15 is 25% of 60
Step-by-step explanation:
15 x 4 = 60
25% x 4 = 100%
Answer:
I think that might be 60
Step-by-step explanation:
A bag contains 120 marbles. Some are red and the rest are black.There are 19 red marbles for every black marble.How many red marbles are in the bag?
Answer:
there are 114
Step-by-step explanation:
Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)
19+1= 20
20 units= 120 (Data from 1st sentence)
1 unit= 120/20= 6
19 units= 120-6= 114 (Values solved in working above)
Ans: There are 114 red marbles.
Answer:
101
Step-by-step explanation:
Please help! I’ll mark you as brainliest if correct!!!!
Answer:
20Step-by-step explanation:
The equation of shifted function y = ax² is y = a(x-h)²+k, where h tells us how many units we move left (h<0) or right (h>0) and k tells how many units up (k>0) or down (k<0)
y = x² - 20 = 1(x - 0)² + (-20) ⇒ k = -20<0
So it's shifted 20 units down.
Write the equation of the line in slope-intersect form with the given two points: (-5,11) and (-2,1)
Answer:
y = -10/3x - 17/3
Gabby accumulated $12,000 in credit card debt. If the interest rate is 4% per year and she does not make any payments for 8 years, how much will she owe on this debt in 8 years by compounding continuously?
Answer:
$16,525.53.
Step-by-step explanation:
A=Pe^rt
P=$12,000
r=0.04
t=8 years