These tables correspond to inputs and outputs. Which of these input and output tables could represent a function rule, and which ones could not?
Answers
Table A is a function.
Table B is not a function.
Table C is a function.
Table D is not a function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is a function if it is one-to-one or many-to-one.
But a relation is not a function if it is one to many.
Table A is a function and it is a many-to-one function.
Table B is not a function as input 1 leads to two different outputs 1, - 1.
Table C is a function and it is a one-to-many function.
Table D is not a function as one input leads to 3 different outputs.
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Related Questions
The container has 1 gallon of water. Each bottle holds 1/8 of a gallon. How many bottles of water does the container hold?
Answers
The total quantity of water that the container would have to hold is given as 8.
How to find the total quantity of waterWe know that the container holds 1 gallon of water, and that each bottle holds 1/8 of a gallon. To find out how many bottles the container can hold we need to divide the container size by the size of each bottle.
We can use the following formula to find the number of bottles:
Number of bottles = Container size / Size of each bottle
We can substitute the values into the formula:
Number of bottles = 1 / (1/8) = 8
So the container can hold 8 bottles of water.
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Please help me!
Will give you brainlist!!!!
Answers
2nd example- 5x, 2y to the third power, 7xy, x to the 5th power.
Example of binomial- x-2 x -2
2nd example- x-6 x negative 6 x negative 6 again.
Example of trinomial- x+y+z is a trinomial in three variables, x, y and z. 2a to the second power + 5a +7 is a trinomial in one variables. Xy+ x+2y to the second power is a trinomial in two variables x and y.
Examples of polynomial- 3x+2x-5
2nd example- 3x to the second power -2x -10.
What is the solution of the pair of equations y 0 and y =- 3?
Answers
The solution of the pair of equations y = 0 and y = -3 is y = -3/2.
The given pair of equations is:
y = 0
y = -3
We can solve this pair of equations using elimination. To do this, we first add the two equations together, which gives us:
y + y = 0 + (-3)
2y = -3
We then divide both sides by 2 to get the solution for y:
2y/2 = -3/2
y = -3/2
Therefore, the solution of the pair of equations y = 0 and y = -3 is y = -3/2.
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Given:
sin (C) 4/9
Find tan (C)
Answers
[tex]sin(C)=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{9}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{9^2 - 4^2}=a\implies \sqrt{65}=a \\\\[-0.35em] ~\dotfill[/tex]
[tex]tan(C)=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{\sqrt{65}}}\implies tan(C)=\cfrac{4}{\sqrt{65}}\cdot \cfrac{\sqrt{65}}{\sqrt{65}}\implies tan(C)=\cfrac{4\sqrt{65}}{65}[/tex]
What is the product of and 3 /- 4?
Answers
Using multiplication we know that the product of 3 * - 4 is -12.
What is multiplication?One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication.
A product is the output of a multiplication operation.
The addition method, lengthy multiplication, grid method, and drawing lines are four different ways to multiply.
So, we have:
3 * -4
Here, we know that 3 is a positive number and -4 is a negative number.
And so the product will be a negative number.
Now, calculate the product as follows:
3 * -4
-12
Therefore, using multiplication we know that the product of 3 * - 4 is -12.
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What are 3 examples of perfect squares?
Answers
Three examples of perfect squares is 1) 9, as it is equal to 3 x 3.2) 16, as it is equal to 4 x 4.3) 25, as it is equal to 5 x 5.
What is perfect squares?Perfect squares are numbers that can be expressed as the product of two equal integers, such as 4, 9, and 16. These numbers can be written as the square of a single number, such as 2² = 4, 3² = 9, and 4² = 16. Perfect squares are also known as whole squares, and they provide an easy way to find the square root of a number.
Perfect squares are numbers that are the result of multiplying a number by itself. For instance, 4 is a perfect square because it is equal to 2 x 2.
Similarly, 9 is a perfect square because it is equal to 3 x 3. Perfect squares can be easily identified by their square root, which is the number that can be multiplied by itself to produce the perfect square.
For example, the square root of 16 is 4, since 4 x 4 = 16.
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For a loan of. 8,75,000 how much interet will be charged by the bank for 2
month if the rate i 4. 75% per year?
Answers
Total interest charged by bank in 2 months is 6793.83.
What is compound interest ?Compound interest is the interest paid on both principal and interest, compounded at regular intervals. At regular intervals, the interest so far accumulated is clubbed with the existing principal amount and then the interest is calculated for the new principal. The new principal is equal to the sum of the Initial principal, and the interest accumulated so far.
The interest that is obtained through the reinvestment of money is known as compound interest. The original principal investment grows substantially more quickly (sometimes referred to as exponentially) when interest is reinvested and allowed to compound over time.
Total loan amount = 875000
total time = 2 months
Rate = 4.75%
Total interest = 875000(1 + [tex]\frac{4.75}{100}[/tex])[tex]\)^{\frac{1}{6} }[/tex] - 875000 = 6793.83
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It take Thorton 4 hour to edit a video for hi chool. If he ha already pent 2. 5 hour on thi video, what percent of the video i edited?
Answers
Using the concept of fraction, the percentage edited on the video is 62.5 percent.
What is Percentage
Percentage is a standard mathematical concept used to express a portion of a whole number in terms of a hundred. It is denoted by the symbol “%” and is often expressed as a fraction or a decimal. For example, 25% can be expressed as 0.25 or 1/4.
In this problem, Thorton has done a 2.5 hours work. The percentage he has edited can be calculated using fraction or ratio as;
percentage edited = (2.5 / 4) × 100
Percentage = 0.625 × 100
Percentage = 62.5 %
From the above, Thorton has edited 62,5 percent of the video for his school project.
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PLEASE HELP!!! (WORTH 50 POINTS!!!)
4y + 3x = -6
y-x=-5
how can you eliminate the x terms in this system
Answers
Answer:
you can eliminate the x terms in this system by multiplying each side by 3.
Step-by-step explanation:
in order to eliminate a variable from a system of equations, you must multiply whatever variable you want to eliminate (in this case, x) by a number that will make the variable you want to eliminate in the first (4y+3x=-6) and second (which is y-x= -5) equations cancel out when adding them together
a written example for further clarification:
step 1:
4y + 3x = -6
3*(y - x = -5)
up here, you can see i'm multiplying the bottom equation by 3 in order to change the value of x from x to -3x, so that when you add the top and the bottom equations together, x is nowhere to be found in the resulting equation (this is what you want)
step 2:
distribute the 3 to all terms in the second equation. this gives you:
(3y-3x = -15).
step 3:
now add this new equation to the first equation (4y+3x=-6).
This gives you:
4y+3x=-6
+
3y-3x=-15
then just add the like terms (4y and 3y, 3x and -3x, -6 and -15).
which gives you (7y=-21)
see how x is not in the resulting equation? you have now successfully eliminated it :] hope this helped!
The sales tax in one town is 8%.So, the total cost of an item can be written as c=0.08cents .what is the total cost of an that sells for $12 ?its due tmrr asap
Answers
Answer: 12.96
Step-by-step explanation: you should multiply 12 * 0.08 = 0.96
then just add 0.96 + 12 = 12.96
Solve for x. each figure is a parallelogram
it's 40 points for the 4
Answers
3.) x = 15.25 or 15 1/4 ( not sure if you'll need to round your answer )
4.) x =6
5.) x = 10
6.) x = 9
Explanation:
1.) write your equation down 8x + 9 = 131
2.) Subtract +9 from 131. you'll get 122
3.) divide 8x and 122.
4.) Then there's your answer 15.25
you'll do the same thing throughout each equation. write down your equation but with the 22x and 23x you're going to subtract 22x from 23x. and you'll get 1x then continue on the same way as with the last equation.
Is 10 12 15 a right triangle?
Answers
No, 10, 12, and 15 are not the lengths of the sides of a right triangle.
A right triangle is a triangle with one 90 degree angle. The other two angles must be acute angles (less than 90 degrees).
The Pythagorean Theorem is a formula used to determine if three given side lengths can form a right triangle. The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, also known as the hypotenuse.
In this case, the side lengths of the triangle are 10, 12, and 15. Therefore, the Pythagorean Theorem can be written as:
10^2 + 12^2 = 15^2
100 + 144 = 225
244 ≠ 225
Therefore, 10, 12, and 15 are not the side lengths of a right triangle.
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Tim's phone service charges $24.20 plus an additional $0.17 for each text message sent per month. If Tim's phone bill was $28.45, which equation could be used to find how many text messages, x, Tim sent last month? A. $0.17x + $24.20 = $28.45 B. $0.17x - $24.20 = $28.45 C. $24.20x + $0.17 = $28.45 D. $24.20x - $0.17 = $28.45
Answers
Answer:
A
Step-by-step explanation:
each text message is .17 text messages are x the total bill is 28.45. the service charges are 24.20.
.17x + 24.50 = 28.45
What is 5 in the expression 5x called?
Answers
The term 5 in 5x is known as the coefficient of the expression.
A coefficient is defined as a term or a number which is multiplied by a variable. This constant terms generally precedes the variable term.
A coefficient is a generally a multiplicative factor in a polynomial series, or in an equation.
Expressions are mathematical statements which are composed of two terms in which at least one contain variables, numbers, or both. These terms are either numbers or variables or numbers and variables multiplying each other. These expressions are a combination of numbers with mathematical ,operators are used to separate them.
Eg, 2x - 90 =45
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PLEASE HELP! Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height in meters of their rocket seconds after launch.
Answers
Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3. The rocket's highest point is 30m
What is the height?Generally, Since we are not instructed on what to look for, we are able to determine the highest point that the rocket ever achieved.
Given that the rocket's flight can be approximated approximatively using the equation,
h(t) = - 12t ^ 2 + 36t + 3
At maximum height dh/dt = 0
dh/dt = --24t + 36
0 = -24t + 36
24t = 36
t= 36/24
t = 1.5s
Find out the maximum height.
h(1.5) = - 12 (1.5)^ 2 + 36(1.5) + 3
h(1.5) = - 12(2.25) + 54 + 3
h(1.5) = -27 + 57
h(1.5) = 30m
As a result, the rocket is only capable of reaching a height of 30 meters at its highest point.
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Solve for x in this triangle. Round your answer to the nearest tenth. 18 Xº 23
Answers
Answer:
51.50004959055205
Step-by-step explanation:
[tex]sin (x) = \frac{18}{23}[/tex]
25
1 point
(3x + 32)
(5x - 8)
Select the correct equation to solve for x,
3x + 32 + 5x - 8 = 180
3x + 32 = 5x - 8
3x + 32 + 5x - 8 = 90
Answers
The value of x is 20
Now, According to the question:
The given equation is:
3x + 32 = 5x - 8
To solve the equation for finding the value of x .
32 + 3x = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
32 + 3x -5x = -8 + 5x -5x
Combine like terms:
3x -5x = -2x
32 -2x = -8 + 5x -5x
Combine like terms: 5x -5x = 0
32 -2x = -8 + 0
32 -2x = -8
Add '-32' to each side of the equation.
32 -32 -2x = -8 -32
Combine like terms: 32 -32 = 0
0 -2x = -8 -32
-2x = -8 -32
Combine like terms: -8 -32 = -40
-2x = -40
Divide each side by '-2'.
x = 20
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Molly and Liza are exercising. Molly does
10 push-ups at the same time
as Liza
does 15 push-ups. When Molly does
40 push-ups, how many push-ups does
Liza do?
Answers
Answer:
25
Step-by-step explanation:
so molly and liza are exercising right?.so 10 push-ups at the same time wich means they do 10 push-ups together and liza push-ups 15 and molly does 40 pushups so. its addition so 10+15=25 so thats the answer.
ind the Average Rate of Change of the table below for the interval 0 < x < 4
Answers
The average rate of change is equivalent to 2.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given is the table as shown below -
[x] : 0 1 2 3 4
[y] : -2 -3 1 3 6
The rate of change in the interval 0 < x < 4 is -
AROC = (6 + 2)/(4 - 0)
AROC = 8/4
AROC = 2
Therefore, the average rate of change is equivalent to 2.
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A line has a slope of 1/5 and passes through the point (3,10). What is its equation in point-slope form? Use the specified point-slope form.
Answers
The equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is that a line has a slope of 1/5 and passes through the point (3, 10)
We can write the slope of the line as -
m = 1/5
For the point (3, 10), we can write -
y = (1/5)x + c
10 = (1/5) x 3 + c
c = 10 - 3/5
c = 47/5
Therefore, the equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).
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M(2,4) is the midpoint
between the points A(-2,9)
and B.
Find the coordinates of B.
Answers
The coordinates of B are (6,0).
The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the segment. For a line segment with endpoints (x1, y1) and (x2, y2), the midpoint is given by the coordinates:
((x1 + x2) / 2, (y1 + y2) / 2)In this problem, we're given that the midpoint is (2, 4) and we need to find the coordinates of point B. Since we know the coordinates of the midpoint, we can set up the equation:
((x1 + x2) / 2, (y1 + y2) / 2) = (2, 4)We know that point A = (-2,9) is one endpoint, so we can substitute it into the equation
((-2 + x2) / 2, (9 + y2) / 2) = (2, 4)Solving for x2 and y2, we get x2 = 6 and y2 = 0 which is the coordinates of point B.
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3x-y=2 and 12x-4y=4 parellel or perpendicular line
Answers
Answer:
They are parallel line.
Find the product using any method. (Need some help!!)
Answers
Answer:
2n^2-8n-24
Step-by-step explanation:
Uhm i just did this one with one of my classmates like 2-3 months ago so it just came to mind.
Hope this helped tho! :)
A large plane cruises at 530 miles per hour. What is the ratio, Unit Rate, and Rate?
Answers
Answer:
For this example they are all the same thing.
530:1 or 530 mph
Step-by-step explanation:
A unit rate is when the denominator is 1. In this case, the denominator is already 1 hour.
Z= [?]° i dont know how to type out the question
Answers
Answer: first u have to find the perimiter for each side
Step-by-step explanation:
the answer is 100 d z
HELP!
4(2x-3)=6x+2
I thought when I simplify it 22x=14 but its wrong
Answers
Answer:
the answer is 1
Step-by-step explanation:
4(2x-3)=6x+2
8x-12=6x+2
+6x +6x
14x-12 =2
+12 +12
14x=14
x=1 and don't worry we all make mistakes
The table shows data for 4 cyclists during one day of training.
Complete the table by finding the rate of speed for each cyclist. Use the formula r = d ÷ t.
Cyclist Distance (mi) Time (hr) Rate (mi per hr)
Alisha 40 4
Jose 30 2
Raul 40 4
Ruthie 80 5
Answers
Rate of speed of each cyclist is:
Alisha 10mi/hr
Jose 15mi/hr
Raul 10mi/hr
Ruthie 16mi/hr
Data given of each cyclist;
Formula used: [tex]r=\frac{d}{t}[/tex]
here,
r=rate of speed
d=distance
t=time
Alisha: Distance=40mi; Time=4hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{40}{4} =10mi/hr[/tex]
Jose: Distance=30mi; Time=2hr
applying the formula
[tex]r=\frac{d}{t}\\ r=\frac{30}{2} =15mi/hr[/tex]
Raul: Distance=40mi; Time=4hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{40}{4}=10mi/hr[/tex]
Ruthie: Distance=80mi; Time=5hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{80}{5} =16mi/hr[/tex]
Alisha= 10mi/hr
Jose= 15mi/hr
Raul= 10mi/hr
Ruthie= 16mi/hr
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47.3 , 48.1 ,47.4 ,47.16 , 47.07 least to greatest,please help(,:
Answers
Answer:
47.07, 47.16, 47.3, 47.4, 48.1
Step-by-step explanation:
lol
Please help me !!
this the last question !!
Answers
Answer:
2 ≥ p
Step-by-step explanation:
-14 ≤ -7p
Divided both sides by -7. Because divided by a negative number, the < will turn to >
So, the equation is
2 ≥ p
Because there is an equal, the circle will be close and to the left of 2.
Answer:
2 ≥ p
Step-by-step explanation:
Have a great day :) <3
Maisie walked for 4 hours at an average speed of
1.6 miles per hour (mph).
How many miles did Maisie walk?
If your answer is a decimal, give it to 1 d.p.
Answers
Answer: Maisie walked 6.4 miles.
Step-by-step explanation:
Since Maisie is walking at a constant pace of 1.6 miles per hour we can set up the following equation:
y = 1.6(x)
In this equation, Y is the number of miles Maisie walked in total and X is the number of hours she walked. All we have to do is plug in 4 hours as x and solve.
y = 1.6(4)
y = 6.4 miles.