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In a parking lot there are 630 cars 270 convertibles in 360 minivan what is the ratio of cars to convertibles
Find the domain and range of x + y = 1. Then determine whether it is a function.
The domain and the range of the equation x + y = 1 are both all real numbers. The equation is a function since each x-value corresponds to a unique y-value.
Explanation:The question is asking us to find the domain and range of the equation x + y = 1, and to determine whether it is a function.
The domain of an equation is the set of all possible x values. For this equation, we can substitute any real number for x, therefore, the domain is all real numbers.
The range of an equation is the set of all possible y-values. In this equation, for any given value of x, there will be a corresponding value of y (y = 1 - x). Therefore, the range of the equation is also all real numbers.
Whether an equation defines a function or not depends on whether each x-value corresponds to a unique y-value. For this equation, each x-value does correspond to a unique y-value, so it is indeed a function.
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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?
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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1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
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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.
can you make 2.25 into a whole number ?
Please help!
Which statement best explains the value of 16 − (−3)? (1 point)
The additive inverse of −3 is −3, so 16 − (−3) = 19.
The additive inverse of −3 is −3, so 16 − (−3) = 13.
The additive inverse of −3 is +3, so 16 − (−3) = 19.
The additive inverse of −3 is +3, so 16 − (−3) = 13.
Pierre has a 15gram bag of cashews. When he examines the nuts, he finds that 4/7 of this amount is whole nuts and 1/3 is only half nuts. The remaining nuts are small pieces. How many grams consist of small pieces?
Please show work.
a. 2.8g b. 2.9g c. 13.5g d. 13.6g
There are two sizes of trucks available: larger truck with a 2.5-ton payload, and smaller trucks with 1.5-ton payload. To unload a freight train 21 larger trucks are needed . How many smaller trucks would be needed for the same job?
Answer:
It’s 35 because my math teacher told me
Step-by-step explanation:
what is the slope intercept form of the linear equation 4x + 2y = 24
drag and drop the appropriate number, symbol, or variable to each box
At one college, GPA's are normally distributed with a mean of 2.7 and a standard deviation of 0.5. What percentage of students at the college have a GPA between 2.2 and 3.2?
Final answer:
About 68.27% of students at the college have a GPA between 2.2 and 3.2 because these values correspond to z-scores of -1 and +1, respectively, in a normal distribution.
Explanation:
To find the percentage of students at the college who have a GPA between 2.2 and 3.2, we will use the properties of the normal distribution. The mean GPA is 2.7 and the standard deviation is 0.5.
First, we calculate the z-scores for the GPAs of 2.2 and 3.2:
z-score for 2.2 = (2.2 - 2.7) / 0.5 = -1
z-score for 3.2 = (3.2 - 2.7) / 0.5 = +1
The z-score represents the number of standard deviations a data point is from the mean. In a standard normal distribution, the percentage of data between z-scores of -1 and +1 is approximately 68.27%.
Therefore, about 68.27% of the students at the college have a GPA between 2.2 and 3.2.
A fruit juice container holds 16 servings. If the servings size in 6 ounces, how many ounces does the container hold in all?
Write 6.85• 10 to the 8th power in standard form
How do you write a2-18b as a verbal expression
Which expression is equal to
5(2x2 – 1) + 3(7x2 + 1)?
Answer:
31x^2 - 2
Step-by-step explanation:
what is the sum of 4.2x10^5 and 5.3x10^5
estimate the number of hot dogs sold by rounding each number in the table to the nearest thousand and finding the sum
Leon is helping his baby sister Daphne eat her dinner. There are 12 peas left in Daphne's bowl and 7 peas squished in her hair. What is the ratio of peas in Daphne's bowl to peas in her hair?
The ratio of peas in Daphne's bowl to peas in her hair will be;
⇒ 12 : 7
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
There are 12 peas left in Daphne's bowl and 7 peas squished in her hair.
Now,
Since, There are 12 peas left in Daphne's bowl and 7 peas squished in her hair.
Hence, The ratio of peas in Daphne's bowl to peas in her hair will be;
⇒ Ratio = Number of peas in bowl / Number of peas in her hair
= 12 / 7
= 12 : 7
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What is 5 radical 24, times, 2 radical 28? Please explain using steps!! :)
A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random. What is the theoretical probability of picking a green marble
Answer:
The theoretical probability of picking a green marble is 0.55. Step-by-step explanation:
Given : A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random.
To find : What is the theoretical probability of picking a green marble?
Solution :
Theoretical probability is defined as the number of favorable outcome divided by total number of outcome.
Yellow Marble = 20
Green Marble = 55
Purple Marble = 25
Total Number of marble = 20 + 55 + 25 = 100
Let G be the event of getting green marble.
So, Favorable outcome = 55
Theoretical probability of picking a green marble is
[tex]P(G)=\frac{55}{100}[/tex]
[tex]P(G)=\frac{11}{20}[/tex]
[tex]P(G)=0.55[/tex]
Therefore, The theoretical probability of picking a green marble is 0.55.
3/4x - 5y = 7
X = -4y + 12
solve by substitution ! show work pls !!
What is the factored form of the expression 3×2+8×-16
In order to paint your bedroom, you buy 2 gallons of paint that cost $10.50 each, 3 paint brushes that cost $2.99 each, and 2 paint rollers that cost $1.25 each. Write an expression to model this situation. Then use the Distributive Property to find the total cost.
The probability that your ticket will be chosen in a drawing is 16%. There are 125 tickets in the drawing. How many tickets are yours?
In a recent survey 0.4 of the people surveyed said their favorite food was pizza 25% said it was hot dogs and 3/10 said it was popcorn, which food was favored by the greatest number of people
Answer:
Step-by-step explanation:
It would be pizza since it is 40% of the people
Use the substitution method to solve the given system of equations. -6y+18=12x and y=3-2x
Which function will produce the same graph as the function shown below? Y = (x - 1)(x - 3) Multiple answers may be correct.
y=x^2+2x+3
y+3=x(x-1)
y=x^2-4x+3
y-3=(x-1)^2
Answer:
On Apex Learning, the correct answer is C.
Step-by-step explanation:
What is 17/18 minus 2/3
Given A = {18, 6, -3, -12} Determine all elements of set A that are in the solution of the inequality 2/3x + 3 < -2x -7
Which is a characteristics of an autobiography?
Jay is cutting a roll of biscuit dough into slices that are 3/8 inch thick. If the roll is 10 1/2 inches long, how many slices can he cut?
He can cut 28 slices I have the same homework so I hope this helps much love and your welcome !!