please help asap
For each relation, decide whether or not it is a function.
Answers
Answer:
Step-by-step explanation:
Refer to the definition of a function. I'll just give you a layman's definition to be concise.
For something to be a function, there needs to be exactly 1 output for every input. You cannot have a case where you input 1 value, and get 2 or more values as an output.
In math we call all the possible input values the domain, and we call all the possible output values the range.
Let's take a look at each situation on your worksheet.
1. Is a function. This is because only one arrow stems from each input value. There are cases where the different input values give the same output, sure, but each input returns 1 discrete thing, not an array of things.
(Think of it this way, if i had a machine that could answer any question I had with yes, no or maybe. I wouldn't want the machine to give me "yes and maybe" or "yes and no" as the result when I ask it a question. That doesn't make sense and I would think the machine is broken. What could happen, is that I ask the machine different questions, and for those different questions, it gave me the same answer, like "yes" and "yes" respectively. in that case, it would be acceptable, because it isn't contradicting itself for any individual question.)
2. Not a function. There are 2 different output values for b.
(Refer back to my machine analogy. The "machine" in this question is contradicting itself. I gave the machine one input, and the machine is telling me, "it's this and actually it's this other thing too")
3. Is a function for the same reasons as 1.
4. Isn't a function.
(It's basically telling you, the machine reads -6 as -4, but it also reads -6 as 0, and also 2. And it also tells you the machine reads -4 as -3, but it also reads it as 8. Again, the machine should only read 1 input in 1 way and not contradict itself. )
Related Questions
Find the volume of the cone. Round your answer to the nearest tenth.
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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Radius (r) = 2 cmheight (h) = 8 cmNow, let's apply the formula :
[tex]\qquad \sf \dashrightarrow \:v = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex]\qquad \sf \dashrightarrow \:v = \frac{1}{3} \times 3.14 \times {(2)}^{2} \times 8[/tex]
[tex]\qquad \sf \dashrightarrow \:v = \frac{100.48}{ 3} [/tex]
[tex]\qquad \sf \dashrightarrow \:v = 33.49333333.....[/tex]
[tex]\qquad \sf \dashrightarrow \:v \approx33.5 \: \: cm {}^{3} [/tex]
PLEASE LOOK AT PICTURE AND HELP!!!
Answers
Answer:
answer A
Step-by-step explanation:
nnnnmmmkkkkkkookl
X2-7x+6; x2-5x-6 please help
Answers
Answer: (x−6)(x−1)(x+1)
help i’ll mark brainlist
Answers
Question 2 (Multiple Choice Worth 1 points)
(04.02 MC)
3
What is the y-intercept of the line perpendicular to the line y = - x + 5 that includes the point (-3,-3)?
4
O
Aiw
4
01
07
O
21
4
Answers
Answer:
y- intercept = 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{3}{4}[/tex] x + 5 ← is in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , then equation of perpendicular line is
y = [tex]\frac{4}{3}[/tex] x + c
to find c substitute (- 3, - 3 ) into the equation
- 3 = - 4 + c ⇒ c = - 3 + 4 = 1
that is the y- intercept of the perpendicular line is c = 1
what is the least common denominator of 1/3 and 1/6
Answers
Answer: 6. this is like 3rd grade math just multiply 1/3 and 1/6 to see
Answer:
1/2
Step-by-step explanation:
1/6/1/3=1/2or2
I the not understand the question properly
Find the next three terms in the sequence. 24,20,16,12…. (If you could explain it that would be great too. It’s a bit confusing)
Answers
Answer:
the next three numbers should be 8, 4, 0
Step-by-step explanation:
it reduces by 4 each time
24 - 4 = 20
20 - 4 = 16
16 - 4 = 12
12 - 4 = 8
8 - 4 = 4
4 - 4 = 0
First term =a=24
common difference=d=20-24=-4
Formula
a_n=24-4(n-1)a_5
24-4(4)8a_6
24-5(4)4a_7
24-6(4)0divide y⁴-2y³-7y²+8y+12 by (y-3) using long division method
please give answer
Answers
How many cards are in each pack? There are __ cards in each pack
Answers
Answer:
there are 52 cards in each pack
Answer:
52.
Step-by-step explanation:
A deck of cards have 52 cards.
The accompanying table shows the number of bacteria present in a certain culture
over a 5 hour period, where x is the time, in hours, and y is the number of
bacteria. Write an exponential regression equation for this set of data, rounding all
coefficients to the nearest hundredth. Using this equation, determine the number o
bacteria present after 13 hours, to the nearest whole number.
Hours (x) Bacteria (y)
0 1892
1
2106
2
2
2342
3
2525
4
2819
4
5
5
3042
Answers
The general form of the exponential regression equation that models the number of bacteria is y = ab^x
The exponential regression equation is y = 1910.38 * 1.1^x
How to determine the exponential regression equation?The dataset is given as:
x y
0 1892
1 2106
2 2342
3 2525
4 2819
5 3042
To determine the exponential regression equation, we make use of a graphing calculator.
From the graphing calculator, we have the following calculation summary
a = 1910.38
b = 1.10
An exponential regression equation is represented as:
y = ab^x
So, we have:
y = 1910.38 * 1.1^x
Hence, the exponential regression equation is y = 1910.38 * 1.1^x
Read more about regression equations at:
https://brainly.com/question/732489
Does the budgeted amount cover the actual amount for expenses, savings, and emergencies?
A)
No, it's short $207.00,
No, it's short $227,00,
o
Yes, there's a surplus of $207.000
D)
Yes, there's a surplus of $227.00,
Answers
Answer:
No its short 207
Step-by-step explanation:
Took the test on UsaTestPrep got it right :)
Bye loves <3
Answer:
the one b4 is wrong its a surplus of 207 .-.
Step-by-step explanation:
this is correct usatestprep also lol
if 2.5kg of potatoes cost £1.40
work out the cost of 4.25kg of potatoes
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Answer:2.5 kg of potatoes cost £1.40 Work out the cost of 4.25 kg of potatoes. 1.25kg=70p 2.5 kg=1.40 3.75 kg=2.10 Done.
Step-by-step explanation: hope this helps love!!
Factor completely 2x2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5).
Answers
The factor the given polynomial are 2,(x+4),(x-5).
We have given that the equation,
[tex]2x^2 -2x -40[/tex]
What is the meaning factor?Factoring a polynomial is expressing the polynomial as a product of two or more factors.
We can factor out a 2.
[tex]2(x^2 - x - 20)[/tex]
Now, we can write down the 2 and factor the [tex](x^2 - x - 20)[/tex].
[tex](x^2-x - 20)=x^2-5x+4x-20\\ =x(x-5)+4(x-5)\\ =(x+4)(x-5)[/tex]
[tex]f(x)=2x^2 -2x -40=2(x^2 - x - 20)=2(x+4)(x-5)[/tex]
Therefore, the factor the given polynomial are 2,(x+4),(x-5).
To learn more about the factor visit:
https://brainly.com/question/25829061
Which equation represents a graph with a vertex of (−3,2)?
Answers
Answer:
y = 4x² + 24x + 38
Step-by-step explanation:
i need help cause is due at 11:59 est
Answers
Answer:
Matt used diameter of the ball instead of Radius
Step-by-step explanation:
The volume of a sphere is given as:
4/3πr³Radius, r = diameter / 2Given that, the diameter = 15 cm ; The Radius = 15 / 2 = 7.5 cm
⇒ Matt made an error in his calculation by failing to covert the value of the diameter given to Radius.
⇒ By dividing the diameter by 2 = 15 / 2 = 7.5, we obtain the Radius, which is what Billy did in her own calculation.
Stretch
2. A gym runs two fitness classes, spinning and circuits.
On Saturday 100 people visited the gym.
18 people attended the spinning class.
10 people attended both classes.
56 people did not attend either class.
a) Represent this information on a Venn diagram
६
S
Ic с
10
(3)
56
A person who attended the gym is selected at random. .
Find the probability that this person:
b) attended only circuits
(2)
c) attended exactly one class
(2)
d) attended spinning, given that they attended circuits
. (2)
Answers
The probability that a person chosen at random attended only circuits is 0.16.
The probability that a person chosen at random attended exactly one class is 0.0288.
The probability that a person chosen at random attended spinning, given that they attended circuits is 0.10
What is the probability?
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability a person chosen at random attended only circuits = number of people who atended circuits / total number of the people at the gym
16/100 = 0.16
Probability a person chosen at random attended exactly one class = (number of people who atended circuits only / total number of the people at the gym) x (number of people who atended spinning class only / total number of the people at the gym)
16/100 x 18/100 = 0.0288
Probability a person chosen at random attended spinning, given that they attended circuits= 10/100 = 0.10
Please find attached the required diagram. To learn more about probability, please check: https://brainly.com/question/13234031
Please help me with this problem
Evaluate (-½·3)³
Answers
Answer: -27/8
Step-by-step explanation:
[tex]\left(-\frac{1}{2}\cdot \:3\right)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]
[tex]\left(-\frac{1}{2}\cdot \:3\right)^3=-\left(\frac{1}{2}\cdot \:3\right)^3[/tex]
[tex]=-\left(\frac{1}{2}\cdot \:3\right)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]
[tex]\left(\frac{1}{2}\cdot \:3\right)^3=\left(\frac{1}{2}\right)^3\cdot \:3^3[/tex]
[tex]=-\left(\frac{1}{2}\right)^3\cdot \:3^3[/tex]
[tex]=-\frac{1}{8}\cdot \:3^3[/tex]
[tex]=-\frac{1}{8}\cdot \:27[/tex]
[tex]=-\frac{27}{8}[/tex]
A linear function has a y-intercept of 3 and passes through the point (3, 7). Tom compared the slope of the function to the slope of 4x - y = 5. What is the difference in the two slopes?
Answers
Answer:
mom mom mom mom mom mom b mom
X + Y-2 (3X-4Y+3) please simplify this
thanks
Answers
Answer:
-5x+9y-6
Step-by-step explanation:
Step 1:
Remove bracket,
x+y-6x+8y-6
collect like terms and simplify,
x-6x+y+8y-6= -5x+9y-6
pls help!! and thank you
find the area of the circles
Answers
Answer:
10) 25π OR 78.5398...yd 11) 1/4π OR 0.785398...ft 12) 100π OR 314.159265....in
Step-by-step explanation:
area of a circle = πr^2 (π x radius squared)
the radius is just half the diameter
so for eg:
number 10)
diameter = 10 yd so radius = 5 yd
5 squared = 25
π x 25 yd = 25π OR 78.5398...yd
i hope this helped :)
PLS HELP I'LL MARK BRAINLIEST
Answers
Answer:
Domain: (-∞, -5) ∪ (-1, ∞)
Step-by-step explanation:
Note:
For f(x) > 0: See the points of x for which the graph of f(x) lies above the x-axis.
For f(x) < 0: See the points of x for which the graph of f(x) lies below the x-axis.
We need to find the domain of f(x) for which f(x) < 0
From the graph, we can tell:
f(x) < 0 on (-∞, -5) ∪ (-1, ∞)
Therefore: The domain on which the given graph f(x) is negative, is (-∞, -5) ∪ (-1, ∞)
Hyperbolas are confusingggg
A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the equation of the halfpipe?
(0, 60); y equals one over two hundred forty times x squared minus 60
(0, 60); y equals one over two hundred forty times x squared plus 60
(0, 15); y equals one over sixty times x square minus 15
(0, 15); y equals one over sixty times x squared plus 15
Answers
Answer:
I think the answer is A but im not sure
A kite string is 100 feet long from the kite to the ground. The string makes a 45° angle with the ground
About how high off the ground is the kite? Leave your answer as a simplified radical
Answers
Answer:
It's not very high
Step-by-step explanation:
The angle that the string and the ground maje, is acute, because it's smaller than a right angle. So, since it is an acute angle, it's not very high. It is about 30cm high.
HELP ME PLEASE
Solve for x: -6 – 5x = 29
Answers
Answer:
x = -7
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (&Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 6 to both sides of the equation:
-5x - 6 = 29
-5x - 6 (+6) = 29 (+6)
-5x = 29 + 6
-5x = 35
Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5
x = 35/-5
x = -7
-7 is your answer for x.
~
Please help! will give brainlest! locks in 30 min!
Answers
Answer:
LAST CHOICE IS THE ANSWER.Step-by-step explanation:
#BRAINLIESTBUNCHAnswer:
[tex]-\sqrt{3}[/tex]
Step-by-step explanation:
tan (θ) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex]\frac{1}{2}[/tex]
tan (θ) = [tex]-\sqrt{3}[/tex]
hope this helps and is right!! p.s. i really need brainliest :)
Approximately how many grams of radium will remain after 4 grams have decayed for 2400 years
Answers
Answer:
1.4
Step-by-step explanation:
The Furnace Creek Airport in Death Valley, California, has an elevation of 64 meters below sea level. The lowest point in New Orleans, Louisiana, has an elevation of -2 meters. What is the difference between the elevation in New Orleans and the elevation at the Furnace Creek Airport?
Answers
Answer:66 meters
Step-by-step explanation:
just change the negative to a positive and add them together. It would be 66.
·[tex]3\sqrt{10}\ times -6\sqrt{30}[/tex]
Due by 12:23
Answers
Answer:
-180√3
Step-by-step explanation:
3√10 x - 6√30
= 3x-6 x -√10 x √30
= -18 x√300
= -18 x 10√3
= -180√3
What is the measure of
Answers
Answer:
25
if j 25 L is going to be 25
The owners of cami's carnival kept track of how many visitors they had each day last summer. this box plot shows the results. carnival visitors 50 70 90 110 130 150 what fraction of the days did the carnival have 70 or fewer visitors?
Answers
Answer: 1/3
Step-by-step explanation: 50, and 90, 2/6 reduces to 1/3.................2 pp ignore the 2 and p I'm in mobile