The set of ordered pairs from listed options demonstrating a function is given by: Option A: (-2,-4), (-1, -2), (1, 2), (2, 4)
Firstly, we need the definition a function; based on which we can distinguish the correct set of ordered pairs.
What is a function?If we have two sets A and B as:
[tex]A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}[/tex]
Then, function [tex]f: A \rightarrow B[/tex] is a connection of elements of A to B such that one element of A is connected to only single element of B, and not many.
The connected pairs are then written as:
[tex]\{(a_i_1,b_j_1), (a_i_2, b_j_2), ... \}[/tex] under the function f.
Now, for the listed ordered pairs, checking if they're functions or not:
Case 1: (-2,-4), (-1, -2), (1, 2), (2, 4)Each single input is connected with single output. So it is demonstrating a function.
Case 2: (-2, 4), (1, 2), (1, -2), (2.-4)In this case, 1 is connected to 2, and -2 both. Thus, it's not representing a function.
Case 3: (-2,4), (-1, 2), (-1, 2), (-2,-4)-1 is only connected to 2, but that does't help as -2 is connected to -4 and 4 both. Thus, it doesn't represent a function.
Case 4: (-2, 4), (-1, 2), (-1, -2), (-2,-4)-2 is connected to 4 and -4, and -1 is connected to 4 and -4, so its not a function.
Thus, the set of ordered pairs from listed options demonstrating a function is given by: Option A: (-2,-4), (-1, -2), (1, 2), (2, 4)
Learn more about functions here:
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How much fluid can a solid measuring 10 feet long, 12 feet wide, by 5 feet deep hold? do i need to multiply them all?
Answer:
Persuming your asking for volume, 600 ft³
Step-by-step explanation:
If your asking for volume, just multiply all of them
Answer all of these questions please and you will get 100 points!
Answer:
The first one is the first picture.
The second answer is zero.
I don't know how 2 do the 3rd sry
Step-by-step explanation:
The measures 4, 5, and 7 create a right triangle. True False
False.
Hope This Helps You!
Good Luck Studying ^-^
Answer:
False
Step-by-step explanation:
A student correctly added the two two-digit numbers on the left of the board and got the answer 137. What answer will she obtain if she adds the two four-digit numbers on the right of the board?
AB + CD=137
ADCB +CBAD =?
Answer:
im sry but i need halppppp with this
Step-by-step explanation:
¿ sᴉɥʇ ǝʌlos noʎ uɐɔ
[tex] {x}^{2} = 225[/tex]
¿ x puᴉɟ
Answer: Final Answer
x=15,x=−15
Step-by-step explanation:
yes, i can solve it.
x = 15
☆o(^▽^)o☆
Ta-Da
3(4) divided by ( 14-5 ) x 2
Answer:
it is 2.6 that is the answer
Help with 8 pls thanks
Answer:
m<Y = 68°
Step-by-step explanation:
A tangent drawn to a circle makes a 90° angle with the radius that intersects it at the point of tangency. That means that m<X = 90°.
The sum of the measures of the angles of a triangle is 180°.
m<X + m<Y + m<Z = 180
90 + m<Y + 22 = 180
m<Y + 112 = 180
m<Y = 180 - 112
m<Y = 68
Joey went to a toy show at the local community center. He bought action figures and trading cards. He spent a total amount of $34.04. He spent $4.22 on the trading cards. He bought 6 action figures that cost the same amount. What equation can be used to determine the cost,a,of each action figure?
principal = $200
interest rate = 4%
time = 2 years
Answer:
200÷0.4= the amount then times by 2
Step-by-step explanation:
i believe thats how that works
If f(x) = 2x - 1 and g(x) = x2 – 3x - 2, find (f+ g)(x).
Answer:
Step-by-step explanation:
x^2 - 3x - 2 + 2x - 1
x^2 - x - 3
answer is C
I need help ASAP please
Answer:
It's actually B
Step-by-step explanation:
The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.
So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B
A newspaper and magazine cost 220 together the newspaper cost 140 less than the magazine find the cost of each
A newspaper and magazine cost 220 together the newspaper cost 140 less than the magazine, then the cost of magazine is 180 and the cost of newspaper is 40.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
A newspaper and magazine cost 220
the newspaper cost is 140 less than the magazine
Let x be the cost of magazine
x-140 is the cost of newspaper
x+x-140=220
2x-140=220
Add 140 on both the sides
2x=220+140
2x=360
Divide both sides by 2
x=180
and x-140=180-140=40
Hence, the cost of magazine is 180 and the cost of newspaper is 40.
To learn more on Equation:
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during the first part of a hike, Andre drank 1.5 liters of the water he brought. If this is 50% of the water he brought, how much water did he bring?
3 liters
6 liters
9 liters
12 liters
Answer:
50/100 x X = 1.5
x 100 x100
50x = 150
÷50 ÷50
X = 3
X = 3 liters I am pretty sure
PLEASE HELP ME, IM STRESSED OUT:(
Answer:D
Step-by-step explanation:
The height of a square pyramid is 15 centimeters. The sides of its base measures 6 centimeters. What is the volume of the pyramid?
Answer:
180cm^3
Step-by-step explanation:
Given data
Height b=15 cm
Base a= 6cm
The expression for the volume of a pyramid is
V=a^2h/3
Substitute
V= 6^2*15/3
V= 36*5
V=180cm^3
Hence the volume is 180cm^3
What is the answer?
Answer:
1) 189.25 square inches
2) 21 square feet
Step-by-step explanation:
1) In order to find the area of a semicircle, you use (πr^2)/2. When you plug in 3.14 as pi and 5 as your radius, you'll get 39.25. The area of the rectangle is base x height which is 10 x 15/150. 150 + 39.25 = 189.25
2) If you draw a vertical line that is parallel to the 2 feet measure, you'll have two rectangles with areas (5x3) and (3x2). 15 + 6 = 21
12. John is driving at 35 mph and speeds up to 45 mph in one hour. What is John's acceleration?
13. If an object is at rest and starts to move at 8 m/s in 2 seconds What is the objects acceleration?
14. If an object is moving at 8m/s and slows down to a stop in 2 seconds. What is the objects acceleration?
MacBook Air
HELPPPP PLEASE!!!don’t answer js for points.
Answer:
$ 50
Step-by-step explanation:
sp = mp - discount percent of mp
or, 42 = mp - 16/100 * mp
or, 42 = 84 mp / 100
so, mp = 50
Answer:
100 - 84
50 - 42
original price=$50
In This equation what is the common ratio f(x) = 10 x 3^x
9514 1404 393
Answer:
3
Step-by-step explanation:
The ratio is ...
f(x+1)/f(x) = (10·3^(x+1))/(10·3^x) = 3^(x+1-x) = 3^1 = 3
The common ratio is 3.
_____
As you may have noticed, it is the base of the exponential term.
Are two rays with the same endpoint called opposite rays? (Geometry)
Step-by-step explanation:
A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. Rays are always named with two points and the first point in the name must be the endpoint. So, when you name opposite rays, the first letter in the name of both rays must be the same.
Easy Points for people.
If 12 ounces of almonds cost $2, how much do 18 ounces of almonds cost?
Brainliest will be given to first answer.
Answer:
$3
Step-by-step explanation:
$2 = 12oz
$1 = 12oz ÷ 2
= 6oz
18oz ÷ 6oz = 3
3×1$ = 3$
Please help me!
[One Step Inequalities]
I think ur answer B.) srry if wrong .
Also i have something important to say.
(You may or may not heard of it.)
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What values of x and y make BCD ~UST?
Step-by-step explanation:
c a
A 25,000 gallon swimming pool is being filled. Two hundred and fifty gallons are in it after 30 minutes. How many hours will it to take to fill the pool?
Answer: 50 hours
Step-by-step explanation:
Given
The volume of a swimming pool is [tex]25,000[/tex] gallon
It takes 30 minutes to fill [tex]250\ \text{gallons}[/tex]
Using Unitary method
[tex]\Rightarrow 250\ \text{gallon takes}\rightarrow 30\ \text{minutes}\\\Rightarrow 1\ \text{gallon takes}\rightarrow \dfrac{30}{250}\\\\\Rightarrow 25,000\ \text{gallon}\rightarrow \dfrac{30}{250}\times 25,000=3000\ \text{minutes or 50 hours}[/tex]
An annual zoo pass costs $43.25 per person. If the zoo earned $3762.75 by selling passes, write an
equation to find the total number of people (p) who bought a pass.
Need Help With This ASAP
Louis wants to buy skis that have a regular price of $328. They have been marked down 25% off the regular price. Louis
calculates the new total price including tax. How much money will Louis save on the total cost because of the markdown?
Answer:
$82
Step-by-step explanation:
make 25% into a decimal which equals .25, then do 328. x .25 which equals $82
If x^3+y^3−12xy+64=0, what is the value of x+y?
Answer:
I don't know
Step-by-step explanation:
I don't really know but if you want help with math questions try this website called wolfram alpha. It's great
Functions f(x)16x^2
G(x) 1/4 sq root x
Answer:
x
x
are the same
Step-by-step explanation:
when you plug in g(x) into f(x)
f(x)=16((1/4)(x)^.5)==x
then vice versa
g(x)=(1/4)((16x^2)^.5)==x
They are the same and, therefore, inverses of each other.
(4+7 +5+5+2) +[14 5/8+ 14 3/4 +14 7/8+15 + 15 1/8]=
Answer:
97 and 1/8
Step-by-step explanation:
(4 + 7 + 5 + 5 + 2) + (14 5/8 + 14 3/4 + 14 7/8 + 15 + 15 1/8)
23 + (14 5/8 + 14 3/4 + 14 7/8 + 15 + 15 1/8)
23 + 74 1/8
97 and 1/8
Answer:
97 1/8
Step-by-step explanation:
I took the test :)