MULTIPLE CHOICE If you switch the input and the output values of the data in the table, is it a function? A Yes B No Practice Attempt 1 of 2 Submit
Answers
Answer:
yes
Step-by-step explanation:
as long as one input does not have two different outputs it is a function
Related Questions
5. Write the equation of the line shown.
Y=________
Answers
Answer:
y = ⅓ x
Step-by-Step Explanation:
When y = 1 x = 3 which means y is always ⅓ of x.
In many countries, cigarette smoking has decreased in the 21st century. The percentage of smokers in Russia can be represented by the equation 36x+100y=346, where y is the percentage of adults who smoke and x is the number of years since 2000. The percentage of smokers in Poland can be represented by the equation 18x+50y=176, where y is the percentage of adults who smoke and x is the number of years since 2000. Determine the solution to the system
Answers
The system of equation does not have a solution.
How to solve system of equation?The percentage of smokers in Russia can be represented by the equation 36x+100y=346, where y is the percentage of adults who smoke and x is the number of years since 2000.
The percentage of smokers in Poland can be represented by the equation 18x+50y=176, where y is the percentage of adults who smoke and x is the number of years since 2000.
Let's combine the equation and find the solution.
36x + 100y = 346
18x + 50y = 176
multiply equation(ii) by 2
36x + 100y = 346
36x + 100y = 352
0 = 6
Therefore, the system has no solution.
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The set of data in the table below represents a linear function
X
6
-4
-2
y
-7--
--5---
-3/-/-
Which is an equation for this function?
Answers
The equation of the function is y = x - [tex]1\frac{1}{3}[/tex]
The first point = (-6, [tex]-7\frac{1}{3}[/tex])
The second point = (-4, [tex]-5\frac{1}{3}[/tex])
Convert the mixed fraction to the simple fraction
The first point = (-6, -22/3)
The second point = (-4, -16/3)
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line
The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= (-16/3 - (-22/3) / (-4 - (-6)
= 2 / 2
= 1
The point slope form is
[tex]y-y_1=m(x-x_1)[/tex]
y - (-22/3) = 1(x - (-6))
y + 22/3 = x + 6
y = x+ 6 - 22/3
y = x+ -4/3
y = x - 4/3
Convert the simple fraction to mixed fraction
y = x - [tex]1\frac{1}{3}[/tex]
Hence, the equation of the function is y = x - [tex]1\frac{1}{3}[/tex]
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The position of the squirrel can be calculated using the function p (t) = at² + bt + c.
What is the value of a?
What is the value of b?
What is the value of c?
Answers
The value of a is 5/19
The value of b is -160/19
The value of c is 960/19
Given,
The quadratic function formula;
p(t) = at² + bt + c
We have to interpret quadratic graphs;
Thus, the equation is now;
p(t) = at² + bt + 0
p(t) = at² + bt
From the graph, we see that when x = 8, y = 0. Thus;
p(8) = a(8²) + 8b + c = 0
64a + 8b + c = 0 ------(1)
From the graph, we know that the axis of symmetry is;
x = -b/2a
Thus;
16 = -b/2a
b = -32a -----(2)
From the graph, we see that when x = 5, y = 15. Thus;
p(8) = a(5²) + 5b + c = 0
25a + 5b + c = 15 ------(3)
Put -32a for b in eq 1 and 3 to get;
64a + 8(-32a) + c = 0
-192a + c = 0 ------(4)
25a + 5(-32a) + c = 15
-135a + c = 15 ------(5)
Subtract eq 4 from eq 5 to get;
192a - 135a = 15
57a = 15
a = 15/57
a = 5/19
Thus;
b = -32(5/19) = -160/19
-135(5/19) + c = 15
15 + (675/19) = c
c = 960/19
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Susan Asked her father for a no-interest loan of $8,000 so she could purchase a used car. She told her father that she would repay the loan at a rate of $250 per month.
Answers
The amount remaining on her after one year is $5000 .
In the question ,
it is given that ,
amount taken by Susan from her father = $8000 ,
interest rate charged by Susan father = 0%
amount that Susan will repay her loan per month = $250 .
So , the amount that Susan will repay in 12 months = 12×250
= $3000
So , in 1 year Susan will pay $3000 ,
the amount of loan remaining after 1 year = (loan amount) - (amount paid in 1 year)
the amount of loan remaining after 1 year = 8000 - 3000
= $5000
Therefore , The amount remaining on her after one year is $5000 .
The given question is incomplete , the complete question is
Susan Asked her father for a no-interest loan of $8,000 so she could purchase a used car. She told her father that she would repay the loan at a rate of $250 per month . How much will be remaining on her loan after one year ?
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Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 3/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should be 5/2 equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.
Now, use opposite operations on the equation from part B to move one of the terms so they are both on the same side of the equal sign.
Please it worth 43 points
Answers
The equation that represents this situation while the variable s representing the amount of dough needed , for a small pizza is (5/2)S = (3/2)S + S .
In the question ,
it is given that
amount of dough for a medium pizza is 3/2 times the amount of dough for small pizza ,
let the amount of dough required for small pizza = S
let the amount of dough required for large pizza = L
let the amount of dough required for medium pizza = M
So , M [tex]=[/tex] (3/2)S
and amount of dough for a large pizza is 5/2 times the amount of dough for small pizza ,
that is
L [tex]=[/tex] (5/2)S
amount of dough used for one large pizza is equal to the amount of dough used for one medium and one small pizza ,
that is L [tex]=[/tex] M [tex]+[/tex] S .
Substituting the value of L and S , we get
(5/2)S [tex]=[/tex] (3/2)S + S
We have a linear equation that is true for all S , there is no unique solution to this equation .
Therefore , The equation that represents this situation is (5/2)S = (3/2)S + S .
The given question is incomplete , the complete question is
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.
Write an equation to represent this situation while the variable s representing the amount of dough needed , for a small pizza .
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taylor wants to buy a bicycle that cost $48.75 she works for her mom after school to earn money if taylor is payed $4.50 per hour will she be able to buy the bicycle after working 9 hours
Answers
Cost = $48.75
$4.50 x 9(hours) = 40.50 which is not enough
Answer:
No, here's why...
Step-by-step explanation:
Multiply 9 by 4.50
you get $40.50
40.50<48.75
she will not be able to but the bicycle
i really need help with
Answers
Y+6=7(c-4) in slop intercept form
Answers
y = 7c - 34 is slop intercept form of equation .
What is an explanation of the slope-intercept form?
A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible. This form is frequently known as the y = mx + b form. A line has the equation 3x + 4y + 5 = 0. The slope intercept form can be used to calculate the line's slope and y-intercept.slop intercept form of equation
y = mx + c
Y+6=7(c-4)
y + 6 = 7c - 28
y = 7c - 28 - 6
y = 7c - 34
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Given: Circle O, and RO bisects MP
prove: MR is congruent to PR
Answers
Answer:
Step-by-step explanation:
Statements: Reasons:
RO bisects MP Given
MO is congruent to PO Definition of a bisector
RO is congruent to RO Reflexive property
That is all i know so far and what I have learned. I'm in 9th grade so i don't know much. Sorry! Wish i could help more
Given f(x) = 3x + 5, describe how the graph of g compares with the graph of f. g(x) = 3(0.1x) + 5
Answers
The following data is gotten from comparing the graph of f(x) = 3x + 5 to graph of g(x) = 3(0.1x) + 5
Both has y intercept of 5
g(x) is a vertical compression of f(x) by a factor of 0.1
How to make the comparisonThe graph of the both linear equation is plotted and attached
solving for y intercept by substituting x = 0 into f(x) = 3x + 5 shows that
f(x) = 5
solving for y intercept by substituting x = 0 into g(x) = 3(0.1x) + 5 shows that
g(x) = 5
examining the both equations, it can show that the slope of f(x) is multiplied by a factor 0.1 this results to vertical shrink
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Which function represents g(x), a reflection of f(x) = 6
H
across the y-axis?
) = −6(-3)*
O g(x) =
©_g(x) = −6[³]*
O g(x) = 6(3)*
O g(x) = 6(3)*
Answers
Step-by-step explanation:
Answer: D.) g(x) = 6(3)^{-x}g(x)=6(3)
−x
Step-by-step explanation: We are given an exponential function f(x).
g(x) is an exponential function that is being reflected across y-axis.
According to rules of transformations y=f(-x).
That is variable x is being multiplied by a negative sign.
In the given options g(x) = 6(3)^{-x}g(x)=6(3)
−x
, the variable x is being multiplied by a negative sign.
Therefore, correct option is D option.
The function represents the reflection is g(x) = 6 (3[tex])^{-x[/tex].
What is Function?A function is a type of rule that produces one output for a single input.
a mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependent variable (the dependent variable).
We are given an exponential function f(x).
Also, g(x) is an exponential function that is being reflected across y-axis.
Here the rule of transformations y=f(-x).
The x-coordinate and y-coordinate swap places and the signs if you deflect across the line y = -x.
Reflections: By multiplying by -1, a function can be mirrored about an axis.
So, the function after reflection is
g(x) = 6 (3[tex])^{-x[/tex]
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The graph f (x) = x is shifted down 6 and to the right 3 and reflected over the x-axis. Which of the following is the function of the resulting transformation?
Answers
The function of the resulting transformation is f(x) = -x - 3 + 6.
Given:
The graph f (x) = x is shifted down 6 and to the right 3 and reflected over the x-axis.
The first transformation:
shifted down 6 units
f(x) = x - 6
second transformation:
x = x + 3.
f(x) = x + 3 - 6
Third transformation:
reflected over the x-axis.
f(x) = -1(x+3-6)
f(x) = -x - 3 + 6.
Therefore the function of the resulting transformation is f(x) = -x - 3 + 6.
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Find equivalent expressions for 2y + 7 - 5y + 6y - 3 + y
Answers
Answer:
4y + 4
Step-by-step explanation:
Place similar together: 2y - 5y + 6y + 1y + 7 -3
Solve: (2-5+6+1)y + 4
4y + 4
how to solve percent change and percent error problem
Answers
The way to calculate the percentage change will be:
Step 1: Take one value and subtract it from another.
Step 2: Subtract the error from the exact or ideal value (not your experimental or measured value). This will result in a decimal number.
Step 3: Multiply the decimal number by 100 to get the percentage.
Step 4: To report your percent error value, use the percent or % symbol.
What is percentage error?The difference between an approximate or measured value and an exact or known value is expressed as a percentage in percent error.
It is a scientific term that describes the difference between a measured or experimental value and a true or exact value.
It's important to divide the new value by the old value to get the percentage change.
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04.02 Comparing Functions
i need help asap yall
Answers
The values of the function when x = 3 are -10. -1 and -3, respectively
The values of the functionFunction 1
The equation of the function is given as
y = -4x + 2
We have the value of x to be 3
So, we have
y = -4 x 3 + 2
Evaluate
y = -10
Function 2
The graph represents the notation of the function
On the graph, we have the value of y to be -1, when x = 3
This means that
y = -1
Function 3
The table represents the notation of the function
On the table, we have the value of y to be -3, when x = 3
This means that
y = -3
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what direction does this parabola open? (x-4)2=-15(y+18)
Answers
The parabola with the equation (x-4)²=-15(y+18) opens downwards.
The equation of the parabola is (x-4)²=-15(y+18)
From the equation we can infer that the parabola has the vertex at (4,-18) and the axis of symmetry is the line x = 4 .
(x-4)²=-15(y+18)
or, x² -8x + 16 = -15y -270
or, 15y = -x² + 8x - 286
The equation is of the general form : y = ax² + bx + c therefore the parabola will have two x values for every y value. So either the parabola will open upwards or downwards.
Now the general form of the parabola we find that the coefficient of the highest power of x is -1 (negative value)
Therefore the graph of the parabola opens downwards as illustrated by the graph of the parabola attached below.
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Write the equation of the function in point-slope form.
A line with a slope of 2 and passes through (5,-2)
Answers
This is the answer
Y+2=2(x-5)
Kate is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $27 for the meal, plus $3 per pound for the lobster she picks. At the second restaurant, Kate would pay $4 per pound for the lobster, in addition to $25 for the meal. Kate realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Kate pay for her dinner? What is the weight?
Answers
1) Based on a system of equations, the amount Kate would pay for her dinner at either of the two different restaurants is $33.
2) Based on the same system of equations, the weight of the lobster is 2 pounds.
What is a system of equations?A system of equations indicates two or more equations solved concurrently, at the same time, or simultaneously.
A system of equations is also described as simultaneous equations.
First Restaurant Second Restaurant
Meal charge $27 $25
Lobster per pound $3 $4
Let the weight of the lobster per pound = x
Expressions:The total cost of Kate's dinner at the first restaurant = 27 + 3x
The total cost of Kate's dinner at the second restaurant = 25 + 4x
Equated Expressions:27 + 3x = 25 + 4x
2 = x
Total Costs:First Restaurant = 27 + 3x
= 27 + 3(2)
= $33
Second Restaurant = 25 + 4x
= 25 + 4(2)
= $33
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Express 25p as a percentage of £2
Answers
Answer:
0.5
Step-by-step explanation:
If 50% of £2 is £1
and 25% of £1 is 25p
we can workout that 25% of £2 is 0.5
a teacher is teaching two ap statistics classes. on the final exam, the 20 students in the first class averaged 92 while the 25 students in the second class averaged 83. if the teacher combines the classes, what will the average final exam score be?
Answers
Answer:
220
Step-by-step explanation:
hope it helps
The required when two classes are combined, the average final exam score is approximately 87.
Number of students in the first class = 20
The average score of the first class = 92
Number of students in the second class = 25
The average score of the second class = 83
Calculate the total number of students:
Total number of students = Number of students in the first class + Number of students in the second class
Total number of students = 20 + 25 = 45
Calculate the total score for both classes:
Total score for the first class = Number of students in the first class * Average score of the first class
Total score for the first class = 20 * 92 = 1840
Total score for the second class = Number of students in the second class * Average score of the second class
Total score for the second class = 25 * 83 = 2075
Calculate the combined total score:
Combined total score = Total score for the first class + Total score for the second class
Combined total score = 1840 + 2075 = 3915
Calculate the average final exam score when the two classes are combined:
Average final exam score = Combined total score / Total number of students
Average final exam score = 3915 / 45
Average final exam score = 87
Therefore, when the two classes are combined, the average final exam score is approximately 87.
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Question 4(Multiple Choice Worth 2 points) (Evaluating Algebraic Expressions LC) What is the value of 12x if x = -5? O-60 O-17 O-125 O-47 please help
Answers
The value of 12x is -60, if x = -5.
Given expression is 12x, if x = -5
To solve the expression we have to compute the x value in the given expression:
= 12x
= 12(-5)
Now we have to simplify 12(-5) by multiplying negatives
= -12*5
Multiplying an odd number of negative numbers gives a negative number.
So, Now we have to multiply the constants, that equals to
= -60
Hence the answer is the value of 12x is -60, if x = -5.
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147+294+441+575+632+879+1,026
Answers
find the value of w. round to the nearest tenth
Answers
Answer:
[tex]\pmb {w=13.11}[/tex]Step-by-step explanation:
[tex]\pmb {sin(22)^o=\cfrac{x}{35} }[/tex]
[tex]\pmb {35sin(22)=w}[/tex]
[tex]\pmb {w=13.11}[/tex]
_________________
Hope this helps!
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Jordan i working two ummer job, making $13 per hour lifeguarding and $10 per hour walking dog. Lat week Jordan earned a total of $177 and worked 3 more hour lifeguarding than hour walking dog. Determine the number of hour Jordan worked lifeguarding lat week and the number of hour he worked walking dog lat week
Answers
Jordan worked 9 hours as lifeguarding
Jordan worked 6 hours walking dog
given that
Jordan making $13 per hour lifeguarding and $10 per hour walking the dog
last week Jordan earned a total of $177
let x be the number of hours she worked walking the dog
let y be the number of hours she worked as a lifeguard
13y+10x=177 -------- (1)
worked 3 more hour lifeguarding than an hour walking dog
y = 3 + x --------(2)
substitute equation 2 in 1
13(3+x) +10x =177
39+13x+10x = 177
39 + 23x = 177
23x = 177 -39
23x = 138
x = 138/23
x = 6
now substitute x=6 in equation 2
y = 3 + 6
y = 9
9 number of hours he worked lifeguarding last week
6 number of hours he worked walking dog last week
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Find the slope of the line \mathrm{y}=5\mathrm{x}+4y=5x+4.
Answers
The slope of the line y = 5x + 4 is 5.
Slope i.e. m = 5.
Given, a line of equation
y = 5x + 4
We have to find the slope of the given line,
Now, as we know the slope-intercept form of a line i.e.
y = mx + c
where, m is the slope of the line and c is the y-intercept of the line.
So, using the same form in the line, we get
y = 5x + 4
the slope of the line is 5.
Hence, the slope of the line y = 5x + 4 is 5.
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Find the slope (6,-10),(-15,15)
Answers
Answer:
-25/21
Step-by-step explanation:
Slope Formula:
m=(y1-y2)/(x1-x2) where m is the slope
m=(-10 - 15)/(6 - (-15))
m=(-(10+15)/(6+15))
m=-25/21
if the probability that the islanders will beat the rangers in a game is 0.62 what is the probability that the islanders will win exactly one out of three games in a series against the rangers?
Answers
Answer : The chance that the Islanders will win n games out of 6 is:
0.47 ^ n + (1 - 0.47) ^ (6 - n) * 6! / n! / (6 - n!)So, the chance of winning 4 games is 0.205605
the chance of winning 5 games is 0.072932
the chance of winning all 6 games is 0.010779
Adding these together we get 0.289316
Rounding to the nearest thousandth we get 0.289 (or 28.9%)891 viewsRelated questions (More answers below)
Step-by-step explanation:
Question 1 (1 point)
Which pair of equations represents lines that are perpendicular
y = 2x+8
y = 2x + 2
Y = 1/2x +4
y = -2x -3
Y = 1/2x + 3
y = 2x -4
Answers
Answer:
it would be 69 bhejejejirirooddsskkskskakakakzkzjajbhshdhdjdjeiejeie
Emmy bought 53.6 ounces of cat food and 4.7 ounces of dog food. How much pet food did
she buy in all?
Answers
Answer:
Step-by-step explanation:
53.6 oz + 4.7 oz
= 58.3 oz in total
Answer:
58.3 ounces
Step-by-step explanation:
53.6 + 4.7 = 58.3