The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?
You can use the definition of a function to classify which mapping is a function and which mapping is not a function.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
What is a function?There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.
Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.
So, for a mapping to be function, we need each input to be mapped to only one output.
Using above definitionFor group 1, we see that 0 has output 1 and output 5 both. Since for a mapping to be a function, we need each input to have single output, thus, this group doesn't represent a function.
For group 2, we see that each input has only one output, thus,this group represents a function.
Remember that we assumed that the pair of points were written as
(input, output)
Thus.
The first group is not a function as there are two outputs for 0
The second group is a function as there are single output to each input.
Learn more about functions here:
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It is estimated that world reserves of oil currently stand at 2625
billion units. Oil is currently extracted at an annual rate of 45.5
billion units and this is set to increase by 2.6% a year. After how
many years will oil reserves run out
Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...
[tex]\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)[/tex]
We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
How many sides does the regular polygon have if each interior angle measure is four times the (1 point)
measure of each exterior angle measure?
Answer:
The exterior and interior angles must add up to 180 degrees. Thus, 180 divided by five gives the exterior angle as 36 degrees (and hence the interior angles as 144 degrees).
Answer:
10 Sides
Step-by-step explanation:
Int Angle + Ext Angle = 180
4Ext + Ext = 180
Ext = 36 degrees
-----
360/36 = 10 sides
I need help with this please
Answer:
hello the answer you are looking for should be s3xy kong 243
Step-by-step explanation:
solve for w: 35=0.35 x w
Answer:
w=100
Step-by-step explanation:
Every time you multiply a decimal by 20 the dot goes one place to the right Example: 0.35 x 10= 3.5 or 0.35 x 100= 35
two piers, a and b, are located s km away from each other along a river. a motorboat, with a speed of v km/hour in still water, is cruising between the two piers. How much time t (in hours) will the motorboat need to get from pier a to pier b and back, if the speed of the current is 5km/hour? find t if: s=105 v=40
Answer:
speed in still water is v=40 speed of current
Determine the slope from the given graph below:
The slope is−17
The slope is 5
The slope is 7
The slope is -5
Answer:
The slope is positive 7
Step-by-step explanation:
The y-intercept is -5, and the next point going upwards is positive 2. (Sorry I'm bad at explaining)
Answer:
The slope is 7
Step-by-step explanation:
(1,2)(0,-5)
[tex]m=\frac{-5-2}{0-1} ==\frac{-7}{-1} =7[/tex]
Hope this helps
A rectangle has a length of x + 7 and a width of x-2. Which equation below describes the perimeter, P, of
the rectangle in terms of x?
Answer:
P = 4x + 10
Step-by-step explanation:
perimeter of a rectangle = 2( width + length )
P = 2 ( x - 2 + x + 7 )
P = 2 ( x + x + 7 - 2 )
P = 2 ( 2x + 5 )
P = 4x + 10
Please answer question below (80)
Answer:
The last one is the right answer .
Help plz I don’t get it
Answer:
x = 15
Step-by-step explanation:
you divide 15 by 3 first because of pemdas
15 divided by 3 = 5
4 + 5 = 9
The expression 0.6+0.08n can be used to find the cost, in dollars, of making n photocopies. How much will clayton have to pay to make 32 photocopies?
Answer:
26.2
Step-by-step explanation:
Answer:
$3.16
Step-by-step explanation:
0.6+0.08n
Since n represents photocopies, then we replace n with 32.
0.6+0.08(32)
Now we multiply.
0.6+2.56
Finally, add.
0.6+2.56=3.16
So, Clayton will have to pay $3.16 to make 32 photocopies.
-hope it helps
What isa cookoo bird clock thingie mabob
Answer:
Step-by-step explanation:
I need help! Whoever can solve this I'll give you the brainliest!
Answer:
it should be 21 if I did this right.
Step-by-step explanation:
you multiply the width times the length (6 × 7) =42 then 882 divided by 42 to get 21
Avery had 25.92 in her wallet. If she bought lunch with 7 1/2 dollars from her wallet, how much did she have in her wallet after lunch?
A parabola can be drawn given a focus of (4,6) and a directrix of y = 2. What can be
said about the parabola?
Answer:
A.
Step-by-step explanation:
مل
Amy is adding two numbers. She got the answer
which is 2003 However she copied the question wrong.
The one's column of the first number should be 7. she
wrote it to I. The hundred's column
of
the second number
should be 2. she wrote it to 3. What is the correct ansuel
if she copied it correctly?
Answer:
2999
Step-by-step explanation:
There's a lot of possibilities bc it didn't mention any tens columns.
4x+6<-6 how to solve
Answer:
The answer is below.
Step-by-step explanation:
4x<-6-6
4x<-12
x= -3
Inequality form:
x< -3
Interval Notion:
(-8,-3)
Note: Turn the -8 on the sideways on the right, because its not 8.
Answer: x < -3
Step-by-step explanation: 4x+6=-6
-6 -6
4x/4 -12/4
x<-3
Jake has $120 to spend for a party. Juice costs $8. Pizza costs $12. Write the standard equ.
how much juice and pizza Jake can buy?
Answer:
$8x + $12y = $120
Step-by-step explanation:
x = amount of juice
y = amount of pizza
$120 = his total money
A hole needs to be at least 40 feet below ground level. This means it needs to be more than 2 times its current depth.
represented by the inequality 2d<-40, where d is the current depth of the hole.
Select from the drop-down to correctly interpret the solution of this inequality.
The current depth of the hole is Choose.
feet below ground level
The current depth of the hole is at least 20 feet below ground level.
Inequality is an expression that shows the non equal comparison of numbers and variables.
Let d represent the current depth of the hole.
To be at least 40 feet below ground level, he need more than 2 times its current depth.
2d < -40
d < -20
Hence the current depth of the hole is at least 20 feet below ground level.
Find out more on inequalities at: https://brainly.com/question/11613554
Answer:
20 feet below
Step-by-step explanation:
Hayley is considering two gym membership plans. The plans are detailed here. Plan One: $40 for a monthly pass plus $4 for each gym visit Plan Two: $12 for each gym visit. Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?
y=40x+4
y=4x+40
y=12x
y=3x+50
please help
Answer:
Plan One: y=4x+40
Plan Two: y=12x
Step-by-step explanation:
what is the exact value of cos(11 π/12)
Answer:
[tex]-\frac{1}{4}(\sqrt{2}+\sqrt{6})[/tex]
Step-by-step explanation:
[tex]cos(\frac{11\pi}{12})[/tex]
[tex]cos(\frac{2\pi}{3}+\frac{\pi}{4})[/tex]
[tex]cos(\frac{2\pi}{3})cos(\frac{\pi}{4})-sin(\frac{2\pi}{3})sin(\frac{\pi}{4})[/tex]
[tex](-\frac{1}{2})(\frac{\sqrt{2}}{2})-(\frac{\sqrt{3}}{2})(\frac{\sqrt{2}}{2})[/tex]
[tex]-\frac{\sqrt{2}}{4}- \frac{\sqrt{6}}{4}[/tex]
[tex]-\frac{1}{4}(\sqrt{2}+\sqrt{6})[/tex]
Helpful Tips:
Sum Identity: [tex]cos(\alpha+\beta)=cos(\alpha)cos(\beta)-sin(\alpha)sin(\beta)[/tex]
Worth 12 points do it soon pls
Step-by-step explanation:
9+(-5)=4
-8-4=-12
8-(-4)=12
-9+5=-4
Hope this helps, just go connect the equation to the answer that I put.
RULES
If you have a minus and a minus (- -) it is equal to +
If you have Plus and Minus (- +) it is equal to -
The first one when simplified is 9-5=4
The second one Simplified is -8-4=-12
The third one simplified is 8+4=12
The fourth one simplified is -9+5=-4
I hope this helped and that you got the concept. If you have questions, ask me
Ps. If you mark me branliest it would-be very appreciated
Select the correct answer from each drop-down menu.
what is 1 plus 1
PLEASE HELP ME WITH GEOMETRY
Answer:
The answer is A.
Step-by-step explanation:
It is A because both sides match up except for the last pair, where they are the same. Hope this helped!
The Falcons had 3 fewer than twice as many Bears players. If the Falcons had 11 players, how many players were on the Bears?
Please help me with this
Answer:
The measure of <Y = 85 degrees
Step-by-step explanation:
you can solve this problem algebraically if you know that the sum of the interior angles of a triangle is 180 degrees.
if you add all of these angles and set them equal to 180, you can find what "a" is.
a+2a+a+10=180 so 4a+10=180 so a is 42.5 (which is equal to angle x)
then looking at all of the options, it can be seen that the first two options are incorrect because angle x is equal to 42.5 degrees.
you know that angle y is equal to 2a, so multiplying "a" by two, you can find that angle y is 85 degrees.
PLEASE HELP I HAVE A TIME LIMIT ON THIS!!
Plssss help congruent triangles exercises .
Answer:
2. ASA can be used with the definition of an isosceles triangle
3. x = 5 5/6
Step-by-step explanation:
2.Using the given information, the definition of an isosceles triangle tells us, ...
∠A = ∠C and ∠A = ∠ABM and ∠C = ∠CBN
By substitution, ∠ABM = ∠CBN. This lets us declare ΔAMB ≅ ΔCNB by ASA, where the sides between the angles are AB and CB.
__
3.If the angles of interest are the same, then the triangles are similar. That means corresponding sides have the same ratio:
AB/AD = CB/CE
x/7 = (10-x)/5
5x = 7(10 -x) = 70 -7x . . . . . multiply by 35, simplify
12x = 70 . . . . . . . . . . . add 7x
x = 70/12 = 35/6
x = 5 5/6
Which quantity is proportional to 40/8?
Answer:
5/1
10/2
15/3
20/4
25/5
30/6
35/7
Step-by-step explanation:
Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?
A.Amaya made a mistake because 4 is not equal to 5.
B.No values of x make the equation true.
C.All values of x make the equation true.
D.The solution is x=4 or 5.
Answer:
B.
Step-by-step explanation:
4 is of course not equal to 5 so no values of x make the equation true.
There are no solutions to this equation.