The correct equation matches the set of ordered pairs of functions:
C.f (0) = 6
Further explanationSet A to set B is said to be a function if each member of set A pairs is exactly one member of set B
So, one value of x is only assigned to one value of y
or it has only one relationship for each input value
A function can be expressed in the form of a cartesian diagram, the set of ordered pairs, or arrow diagram
If y is a function of x, then y = f (x)
where x is the independent variable and y is the dependent variable
x is the domain and y is the result area or range
A function can be write as ordered pair
Ordered pairs because we write the input first, and then the output
Can be described in form
(input, output)or
[tex]\large{\boxed{\bold{(x,f (x))}}[/tex]
So A function can be formed as a set of ordered pairs:
For example a set of ordered pairs
(2,4), (3,5), (4,6)input values (as domain) 2,3,4
output values (as range) 4,5,6.
We complete the questions with answer choices :
The function f (x) is given by the set of ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2, –1)}:Which equation is true?
f(-10)=1
f(2)=-10
f(0)=6
f(1)=-10
Let see the answer choices :
f (-10) = 1values x = -10, f (x) = y = 1, ordered pairs (-10,1)
f (2) = - 10values x = 2, f (x) = y = -10, ordered pairs (2, -10)
f (0) = 6value x = 0, f (x) = y = 6, ordered pairs (0.6)
f (1) = - 10values x = 1, f (x) = y = -10, ordered pairs (1, -10)
So the answer choices that correspond to the set of ordered pairs of functions above are choices C.f (0) = 6
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Keywords: domain, function, the set of ordered pairs, input, output
The function [tex]f\left( x \right)[/tex] is given by the ordered pair [tex]\boxed{\left( {0,6} \right)}[/tex] or [tex]\boxed{f\left( 0 \right) = 6}.[/tex]
Further explanation:
In the interval [tex]\left( {x,y} \right)[/tex] the first value represents the [tex]x[/tex] and the second value is [tex]y[/tex].
The x coordinates are the domain of the function and the y coordinates are the range of the function.
Given:
The options are as follows,
(a). [tex]f\left( { - 10} \right) = 1[/tex]
(b). [tex]f\left( 2 \right) = - 10[/tex]
(c). [tex]f\left( 0 \right) = 6[/tex]
(d). [tex]f\left( 1 \right) = - 10[/tex]
Explanation:
The sets of ordered pairs are [tex]\left( {1,0} \right), \left( { - 10,2} \right), \left( {0,6} \right), \left( {3,17} \right), \left( {-2,-1} \right)[/tex]
The x values are 1, -10, 0, 3 and -2.
The values of the function are 0, 2, 6, 17 and -1.
Option (a) is not correct.
Option (b) is not correct.
Option (c) is correct.
Option (d) is not correct.
The function [tex]f\left( x \right)[/tex] is given by the ordered pair [tex]\boxed{\left( {0,6} \right)}[/tex] or [tex]\boxed{f\left( 0 \right) = 6}.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Function
Keywords: ordered pairs, (1,0), function, (-10,2), (0,6), (3,17), (-2,-1), linear function, relation table, same relation, set, set of values, set of numbers, coordinates, x-coordinate, y-coordinate.
The conservation club has 32 members. There are 18 girls in the club.
What is the ratio of girls to boys in simplest form?
716
916
97
79
Answer:
9:7
Step-by-step explanation:
i took the test
There are 16,925 bottles of red paint packed in a box. There are 21,775 bottles of blue paint packed in another box.
How many more bottles of blue paint than red paint are there?
(insert something here) more bottles
The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window?
Answer:
The CORRECT answer is 2.5x - 0.6 = 4.9
A bakery sells packages of 6 cupcakes for $10. If the bakery starts selling the cupcakes in packages of 12, how much would you expect a package of 12 to cost?
Explain your reasoning.
Mt. Everest rises 54768 feet in the air while Mt. Rushmore stretches a mere 8976 feet . What is the difference in the height of these two mountains expressed in scientific Notation?
The difference in height between Mt. Everest and Mt. Rushmore is 45,792 feet expressed in standard notation and 4.5792x10^4 feet in scientific notation.
Explanation:
The student is asked to calculate the difference in height between Mt. Everest and Mt. Rushmore and express that difference in scientific notation. The height of Mt. Everest is 54,768 feet and the height of Mt. Rushmore is 8,976 feet. To calculate the difference in height, subtract the height of Mt. Rushmore from the height of Mt. Everest: 54,768 feet - 8,976 feet = 45,792 feet.
To express this difference in scientific notation, move the decimal point to just after the first digit (4), resulting in 4.5792. Then count how many places you moved the decimal. In this case, it moved 4 places, so the exponent is 4. Therefore, the difference in height between Mt. Everest and Mt. Rushmore is approximately 4.5792x10^4 feet in scientific notation.
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Please Hurry!!
6 x 10^4 is how many times greater than 3 x 10^-5
A 2 × 10^9
B 4 × 10^−1
C 4 × 10^1
D 2 × 10^−9
Chet needs to buy 4 work shirts, all costing the same amount. The total cost before Chet applies a $25 gift certificate can be no more than $75. Write an inequality to find the possible amounts that Chet pays per shirt. Identify what your variable represents.
math help Brainliest will be given I solved RS wrong how do I do it I got 112
RS and RT are both segments on the same line. Therefore their equation can be added together and set equal to the equation that is given representing the entire length of segment ST.:
4x+10+ -2x+24=4x+12
Now that you have created one larger equation to solve for x you can now go ahead and combine like terms, (all the x's with the x's and the regular numbers with the regular numbers)
2x+34=4x+12
Now you must move the variables and constants to the opposite sides of the equation. This is called isolating the variable:
2x= 22
Now you can solve for x by dividing by 2 and your answer is x = 11
Now that you have solved for the value of x you can take that value and plug it into the equation that is given for the length of segment RS.
-2X+24 NOW BECOMESSS......
-2(11)+24= -22+24= 2
The length of segment RS is 2
The length of segment RT is 54Explain why the greatest common factor of two numbers is sometimes 1.
5x - (x-2) > 2x - 4 (x -8)
The formula y-y1 = m(x-x1) is the point-slope form of the equation of a lie where m is the slope of the line and (x,y) and (x1,y1)are points of the line. Solve the equation for m, and find slope of a line that includes the points (4,-2) and (5,0)
Answer:
m=2
Step-by-step explanation:
determine whether the ordered pair (8,-5) is a solution to the equation 3x-2y=6
Jill says that 6 is a common factor of 56 and 36 is she correct explain
Over the last week the daily low temperatures in degrees Fahrenheit have been -4 , 6.2 , 18 1/2 , -5.9 , 21 , -1/4 , And 1.75.list all these numbers in order from greatest to least
The odds against Chip beating his friend in a round of golf are 1 : 5. Find the probability that Chip will beat his friend
what is this answer because I don't know how to do it
What names does the square root of 35 fit into? (whole number, not real, real, irrational, rational, intergers, etc.)
JAYDEN HELP PLZ !!!!!!Select from the drop-down menu to correctly complete the statement about the given figures.
Triangles ABC and DEF are Similar or not similar
Answer:
hello can you give the other person brainliest
Step-by-step explanation:
A 6-foot-wide hallway is painted as shown, using equal amounts of white and black paint.
a. How long is the hallway?
b. Can this same hallway be painted with the same pattern, but using twice as much black paint as white paint? Explain.
we know that
The hallway is painted using equal amounts of white and black paint
so
To know the amount of white paint------> calculate the area of white paint
[tex]A=5x*6=30x\ ft^{2}[/tex]
To know the amount of black paint------> calculate the area of black paint
[tex]A=(x+1)*4*6=(24+24x)\ ft^{2}[/tex]
equate the areas
[tex]30x=(24+24x)\\30x-24x=24\\6x=24\\x=4\ ft[/tex]
Find the length of the hallway
[tex]5x+(4x+4)=9x+4=9*4+4=40\ ft[/tex]
therefore
the answer part a) is
The hallway is [tex]40\ ft[/tex] long
Part b) Can this same hallway be painted with the same pattern, but using twice as much black paint as white paint?
we know that
the amount of white paint is [tex]30x\ ft^{2}[/tex]
if the black paint is twice that the white paint
then
amount of black paint is [tex]2*30x=60x\ ft^{2}[/tex]
amount of black paint with the same pattern is [tex](24+24x)\ ft^{2}[/tex]
equate
(24+24x)\ ft^{2}=(60x)\ ft^{2}
solve for the new value of x
[tex]24x+24=60x\\ 60x-24x=24\\ x=24/36\\x= 2/3\ ft[/tex]
Find the new length of the hallway
[tex]5x+(4x+4)=9x+4=9*(2/3)+4=10\ ft[/tex]
therefore
the answer is
Yes, the same hallway can be painted with the same pattern, using twice as much black paint as white paint, but the hallway decreases in length
Answer:
Thank you so much callculista
Step-by-step explanation:
ron wants to buy a videoo game with a selling price of $48 on sale for 50% off. the sales tax in his state is 4.5% A)how much will ron have to pay in all? B) if he has $25 can he afford to purchase the game?
Erica Sutherland earns a yearly salary go 45,650, how much would Erica earn in a monthly paycheck
divide the yearly pay by 12 ( 12 months in a year)
45650 / 12 = 3804.17 per month
0.5,1/5,0.35,12/35,4/5 least to greatest
what is the answer please -16-1x=-4x+8
-16-1x = -4x +8
add 1x to each side
-16 = -3x +8
subtract 8 from each side
-24 = -3x
divide both sides by -3
x = -24 / -3 = 8
x = 8
Steve was offered $5,025 per year for a weekend lifeguard ing job at a local pool. he wants to know how much his monthly income will be at this salary level. what is his rate of pay in dollars per month ?
The rate of his salary per month is $418.75
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Steve was offered $5,025 per year
We know, 1 year= 12 month
So, Steve's Salary per month would be
= 5025/ 12
= $418.75
Hence, the rate of his salary per month is $418.75
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Gina works at a diner.She earns 6$ each hour plus tips.In one week,She worksed 37 hours a week and earned 434$ in tips.How much dud she nake altogether? Write an equation.Use a variable for the unknown.Solve
If answer is 86 please say true if not put answer thanks
this is just my sister's homework not mines I'm a sixth grader not a fourth grader.
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what is the simplest form of 12/18
Please help me as soon as possible, I'll give brainliest to whoever got it done and right first. Here's the question:
Describe the graph of the function f(x) = x3 − 18x2 + 101x − 180. Include the y-intercept, x-intercepts, and the shape of the graph.
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Find 3 consecutive odd integers such that the sum of 7 times the smallest and twice the largest is -91?
Answer: -11, -9, -7
the smallest: 2x+1 = -11
Step-by-step explanation:
{z - some integer}
2z+1 - the smallest number
7(2z+1) - seven times the smallest number
2z+1+2=2z+3 - the middle number
2z+3+2 = 2z+5 - the largest number
2(2z+5) - twice the largest number
7(2z+1) + 2(2z+5) - the sum of 7 times the smallest and twice the largest
7(2z+1) + 2(2z+5) = -91
14z + 7 + 4z + 10 = -91
-17 -17
18z = -108
÷18 ÷18
z = -6
2z+1 = 2(-6)+1 = -12 + 1 = -11
2z+3 = 2(-6)+3 = -12 + 3 = -9
2z+5 = 2(-6)+5 = -12 + 5 = -7
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