Final answer:
Inno's solution of using the square root of 9 and 16 is the best estimate for the square root of ten, as it provides a narrower and more accurate range for the estimate.
Explanation:
To estimate a square root that is not a perfect square, one strategy is to find integers that the number falls between, and then those integers' respective square roots give us a range within which the square root of the number will fall.
Rosa and Inno's approaches are similar and most appropriate because they both use 9 and another square number that is close to 10.
Rosa uses the square roots of 9 and 25. Since the square root of 9 is 3, and the square root of 25 is 5, we know that √10 is a little more than 3, because 10 is closer to 9 than it is to 25. Inno uses the square roots of 9 and 16. Since the square root of 16 is 4, √10 is closer to 3 than 4 because 10 is closer to 9.
Therefore, Inno's solution gives a closer estimate of the square root of 10, as it falls between 3 and 4 (and closer to 3), and this is the best solution among those proposed.
Use the substitution method to solve the given system of equations. -6y+18=12x and y=3-2x
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.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
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.
a cube has a volume of 8 cubic inches what is the length of each edge of the cubes
What is the factored form of the expression 3×2+8×-16
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
What is 5 radical 24, times, 2 radical 28? Please explain using steps!! :)
the sponsor of a concert promises the concert singer a fee based on $5 per person in the audience. if attendence is below 200, however, the singer will be paid a minimum fee based on 200 seats filled. using the variable f, write and inequality to represent the singer's minimum fee.
let x = number of people
question states if the number of people are below 200 he gets the minimum fee
f = x<200
can you make 2.25 into a whole number ?
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.
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:
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What is the distance between the points (−5, 10) and (−5, 2)
Answer:
it's -8
Step-by-step explanation:
A fruit juice container holds 16 servings. If the servings size in 6 ounces, how many ounces does the container hold in all?
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.
How do you write a2-18b as a verbal expression
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
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.
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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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:
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.
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?
Write 6.85• 10 to the 8th power in standard form
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
-3m = 4m + 14 I'm so confused on how to do it
estimate the number of hot dogs sold by rounding each number in the table to the nearest thousand and finding the sum
Which is a characteristics of an autobiography?
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
What is 17/18 minus 2/3
In a parking lot there are 630 cars 270 convertibles in 360 minivan what is the ratio of cars to convertibles
3/4x - 5y = 7
X = -4y + 12
solve by substitution ! show work pls !!
Which expression is equal to
5(2x2 – 1) + 3(7x2 + 1)?
Answer:
31x^2 - 2
Step-by-step explanation: