Which type of function best models the data in the table below?
A. inverse variation
B. linear
C. logarithmic
D. quadratic
Answers
Answer: Option A inverse variation
Explanation:
when we compare the values from the given table x is increasing and y is decreasing hence we can see it is an inverse variation.
In option B difference among all consecutive values of x is 2 but in y it is not same among all consecutive terms. In linear function change in y over change in x must be same.
In option C x is increasing but y is decreasing which is violating the property of logarithmic function. In logarithmic function if x increases then y should increase.
In option D first value of x is 2 following quadratic property meaning giving square of itself in y which is 4. But not all values of y are square of x except first value. In quadratic function value of y should be square of x.
The type of function that best models the table given is: A. inverse variation.
What is Inverse Variation?Inverse variation can be described as a relationship between two variables, whereby, the product of the two variables will give a constant. It is expressed as, k = xy.
In an inverse variation, if one variable increases, the other variable decreases.
The table shows an inverse variation because as x increases, y decreases, and can be expressed as k = xy.
Therefore, the type of function that best models the table given is: A. inverse variation.
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Related Questions
A plant manager needs 75 sq. yds. of fabric and the fabric is only 32 in. wide. How many linear feet must she make to produce 75 sq. yds.?
A) 1.23
B) 4.56
C) 66.67
D) 253.12
Answers
A right triangle has a leg measuring 52 m and a hypotenuse measuring 63 m. find the length of the other leg.
Answers
the length of the other leg= (63^2-52^2)^1/2
hope this helps :)
The total amount Toni spent on shirts is $64. If you rewrite 64 using 2 as the base, what would be the exponent?
Answers
2x2=4x2=8x2=16x2=32x2=64
To rewrite 64 using 2 as the base, the exponent is 6.
Explanation:To rewrite 64 using 2 as the base, we need to find the exponent that represents the power of 2 that equals 64. In other words, we need to solve the equation 2 to the power of x equals 64. We can do this by finding the logarithm with base 2 of 64. Using a calculator, we find that log base 2 of 64 is 6. Therefore, the exponent is 6.
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A printer prints 28 photos in 8 minutes.
How many minutes does it take to print 21 more photos?
Answers
Leila is choosing a 2-letter password from the letters A, B, and C. The password cannot have the same letter repeated in it. How many such passwords are possible?
Answers
f(x) = -1/3 x + 7 determine the input that would give an output value of 2/3
Answers
f(x) = -1/3x + 7
2/3 = -1/3x + 7 ...multiply everything by 3
2 = -x + 21
2 - 21 = - x
- 19 = -x
19 = x <== ur output
Answer:
The correct answer is (19).
Step-by-step explanation:
Jaimie swims 12 the length of the swimming pool every 14 of a minute. Enter the number of lengths of the swimming pool Jaimie swims per minute.
Answers
a class has 27 students.15 are boys the rest are girls. what is the ratio of girls to total students?
Answers
Are these answers correct? If not, what would the answers be?
Answers
For anyone curious,
rd = removable discontinuity
id = infinite discontinuity
c = continuous
An elliptical park is being built in your neighborhood. The park is 25 meters long and 40 meters across. If two swings are to be placed at the foci of the ellipse, how far from the center must the swings be located?
Answers
The equation for an ellipse is
x^2/a^2 + y^2/b^2 = 1
The equation will be x^2/40 + y^2/25 = 1
a^2 - b^2 = c^2
40 - 25 = 15
The foci is (sqrt(15,0) and (-sqrt(15),0)
Answer:the answer is 20
Step-by-step explanation:
I’m needin sum help.-.
Answers
y = 4x+4
give x a number that is on the X axis line to make it a little easier
so lets say x = 2
replace x in the equation with 2
y = 4(2) +4
so y = 8+4 =12
s0 put a dot where x is 4 and y is 12
do the same thing with another number then draw a straight line through both those points
The value of y when x is 3 in the equation "y = 4x + 4" is 16. This linear relationship reflects a consistent rate of change, with each unit increase in x corresponding to a 4-unit increase in y.
In the equation "y = 4x + 4," to find the value of y when x is 3, we substitute x with 3:
y = 4(3) + 4
y = 12 + 4
y = 16
Therefore, when x is 3, y is 16. This means the point on the graph is (3, 16). The equation represents a linear relationship where y depends on x with a constant rate of change of 4. For every 1-unit increase in x, y increases by 4 units due to the coefficient of x.
In summary, for the given equation "y = 4x + 4," when x is 3, y is 16. This relationship indicates a straight line with a slope of 4 and a y-intercept of 4.
The question probable may be;
Given the equation y = 4x + 4 find the value of y when x = 3.
Line g has a slope of -4/7. Which of the following equations represents a line that is perpendicular to line g?
A) Y= -7/4x
B) Y= -4/7x
C) Y= 4/7x
D) Y= 7/4x
Answers
The equation that represents a line perpendicular to line g is Y= 7/4x (option D).
Explanation:A line that is perpendicular to line g will have a slope that is the negative reciprocal of -4/7. The negative reciprocal of a slope is found by flipping the fraction and changing the sign. The negative reciprocal of -4/7 is 7/4. Therefore, the equation that represents a line perpendicular to line g is Y= 7/4x (option D).
Gina bought 2.3 pounds of red apples and 2.42 pounds of green apples.they were on sale for 0.75 a pound.how much did the apples cost altogether
Answers
2.3lb = (0.75 × 2.3lb) = £1.725
2.42 = (0.75 × 2.42lb) = £1.815
Added together = £3.54
Seekor ikan mas memiliki ekor yang panjangnya sama dengan panjang kepalanya ditambah tiga perlima panjang tubuhnya. Panjang tubuhnya tiga perlima dari panjang keseluruhan ikan. Jadi panjang kepala ikan mas adalah 5 cm, berapa panjang keseluruhan ikan tersebut?
Answers
How many 3/4 cup servings are there in a 6 cup package of rice?
Answers
Two-thirds of a number is negative six. Find the number.
a. -9
b. -8
c. -4
Answers
(2/3)x=-6
2x=-6×3
2x=-18
x=-9
Therefore, the number is -9.
Hope I helped :)
Answer:
Step-by-step explanation:
the answer is 9
is -1/17 a repeating decimal
Answers
A repeating decimal, also called a recurring decimal, is a number whose decimal representation eventually becomes periodic (i.e., the same sequence of digits repeats indefinitely). The repeating portion of a decimal expansion is conventionally denoted with a vinculum so, for example,
The minimum number of digits that repeats in such a number is known as the decimal period.
Repeating decimal notation was implemented in versions of the Wolfram Language prior to 6 as PeriodicForm[RealDigits[r]] after loading the add-on package NumberTheory`ContinuedFractions`.
All rational numbers have either finite decimal expansions (i.e., are regular numbers; e.g., ) or repeating decimals (e.g., ). However, irrational numbers, such as neither terminate nor become periodic.
Numbers such as 0.5 are sometimes regarded as repeating decimals since.
Which equation can be used to find one of the missing side lengths in the triangle?
Answers
Cos60 = a/12
answer is D. last one
Cos60 = a/12
Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. the top 3% of the class is to receive a special award. assuming that the distribution of words read per minute are normally distributed, what is the minimum number of words per minute a student would have to read in order to get the award?
Answers
From a normal curve table, the z-score that corresponds to 47% from the value to the mean is a z-score of 1.88. Since the z-score represents the number of standard deviations, the value we are looking for is 175 words + (20 * 1.88) = 175 + 37.6 = 212.6.
Your entry into the Final Exam Shell should be 213.
If Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute
Using this formula
Minimum number of words =(z score× standard deviation) + means
Where:
z score=(100%-3%=97%)
z score= 97%=1.881
Standard deviation=175
Mean=20
Let plug in the formula
Minimum number of words =(1.881×20) + 175
Minimum number of words =37.62+175
Minimum number of words =212.62
Minimum number of words =213 (Approximately)
Inconclusion if Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute
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A jacket cost 54 the price was reduced by 20% off what is the sale price
Answers
4320/100 = 43.20
The answer will be $43.20
Hope I helped :)
which graph shows the inequality y<2
Answers
How many like terms are in the expression? 14x-14y+7-x+z+2x
Answers
The number of like terms in the given expression are:
3
( 14x , -x and 2x)
Step-by-step explanation:Like terms--
The like terms are the terms which have the same variables with the same power.The coefficients of such terms may vary.
The expression is given by:
14x-14y+7-x+z+2x
There are total 6 terms in given expression.
The number of terms with variable x are: 3 i.e. 14x , -x and 2x
The number of terms with the variable y is: 1 i.e. -14y
The number of terms with variable z is: 1 i.e. z
and the number of constant term is: 1 i.e. 7
Hence, the number of like terms are: 3
Nathan is 5 years older than dan. if the total of their ages is 19, how old is dan?
Answers
A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?
a reflection of the line segment across the x-axis
a reflection of the line segment across the y-axis
a reflection of the line segment across the line y = x
a reflection of the line segment across the line y = –x
Answers
Answer:
a reflection of the line segment across the line y = –x
Step-by-step explanation:
Reflecting across the line y = -x switches the x- and y-coordinates and negates both. This will map
(-1, 4)→(4, -1)→(-4, 1) and
(4, 1)→(1, 4)→(-1, -4)
The reflection that produces an image with endpoints at (–4, 1) and (–1, –4) is a reflection of the line segment across the line y = -x.
Option D is the correct answer.
What is a reflection?There are two ways of translation.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
The reflection of a point over the x-axis involves changing the sign of its
y-coordinate while leaving the x-coordinate unchanged.
The reflection of a point over the y-axis involves changing the sign of its
x-coordinate, while leaving the y-coordinate unchanged.
The reflection of a point over the line y = x involves swapping its x and y-coordinates.
The reflection of a point over the line y = -x involves swapping the sign of its x and y-coordinates.
To find the reflection that produces an image with endpoints at (–4, 1) and (–1, –4), we need to reflect the original line segment across a line that produces an image with the same length and orientation as the given endpoints.
One way to do this is to plot the points and draw the line segment, then draw the candidate lines of reflection and see which one produces the desired image.
Another way is to compute the midpoint of the original line segment and see which reflection takes that midpoint to the midpoint of the desired image.
Using the second method, the midpoint of the original line segment is:
= ((–1 + 4) / 2, (4 + 1) / 2)
= (1.5, 2.5)
The midpoint of the desired image is:
= ((–4 + –1) / 2, (1 + –4) / 2)
= (-2.5, -1.5)
To find the reflection that takes (1.5, 2.5) to (-2.5, -1.5), we can see that this is the reflection across the line y = -x.
Therefore,
The reflection that produces an image with endpoints at (–4, 1) and (–1, –4) is a reflection of the line segment across the line y = -x.
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What is the radius of the circle whose center is the origin and that passes through the point (5 12)?
Answers
Radius=√5^2+12^2=√169=13units
The radius of the circle whose center is the origin and that passes through the point (5 12) is 13 units.
What is the radius of a circle?explanation;
taking from origin,
let 5 units equat to x - axixs
and y = 12 units
so using pythagoras theorm radius = square root of (12)² + (5)²
= [tex]\sqrt{169}[/tex]
=13 answer.
The radius of a circle is the length of the line section from the middle to some extent at the circumference of the circle. it is commonly abbreviated as 'r'. There can be countless radii drawn in a circle and the duration of all those radii can be the identical. it is half of the diameter of the circle.
Radius of a circle from region: in case you know the place A , the radius is r = √(A / π) . Radius of a circle from circumference: if you understand the circumference c , the radius is r = c / (2 * π) . Radius of a circle from diameter: if you understand the diameter d , the radius is r = d / 2
A line phase extending from the middle of a circle or sphere to the circumference or bounding surface. 2a = the bone at the thumb side of the human forearm also : a corresponding a part of vertebrates above fishes. b=the 1/3 and commonly biggest vein of an insect's wing.
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Does this graph represent a function? why or why not ?
Answers
---------------------------------------------
---------------------------------------------
Explanation:
The vertical line test is a test to see if it is possible to pass a single vertical line through more than one point on the curve. Since it is not possible to do so, the curve has passed the vertical line test. Passing the vertical line test indicates we have a function. Any x value you plug in will produce exactly one (and only one) y value. If the graph failed the vertical line test, then an x value would produce more than one y values which goes against what a function is.
The first three terms of a geometric sequence are as follows.
32, 16, 8
Find the next two terms of this sequence.
Answers
16/8 = 2
so 8/2 = 4
4/2 = 2
your next 2 terms are 4 and 2
hope this helps
So the next 2 terms are 8*0.5 = 4 and 4*0.5 = 2
answer is 4 and 2
The basket of golf balls at a miniature golf course contains 18 golf balls, of which 9 are red. What is the probability that a randomly selected golf ball will be red?
Answers
Final answer:
The probability that a randomly selected golf ball will be red from a basket of 18 balls, with 9 red, is 1/2 or 50%.
Explanation:
The question is asking about the probability of selecting a red golf ball from a basket that contains 18 golf balls, with 9 of them being red. To find this probability, we divide the number of red golf balls by the total number of golf balls.
Here is the calculation:
Number of red golf balls: 9
Total number of golf balls: 18
Probability (P) of selecting a red golf ball: P = Number of red golf balls / Total number of golf balls
P = 9 / 18
P = 1/2 or 0.5 or 50%
Therefore, the probability that a randomly selected golf ball will be red is 1/2, which can also be expressed as 0.5 or 50%.
What is the solution of the equation x^2 + 6x + 6 = 0?
Answers
((Use the graph shown below to fill in the blank.))
If (4, y) is an ordered pair of the function, then y = a0.
Answers
The answer Y=1
:) hope this helps