The relation that is an inverse variation is the one in the first table:
x 2 4 6 8
f(x) 12 6 4 3
Which relation is an inverse variation?An inverse variation between two variables x and y can be written as follows:
y = k/x
Where k is a constant.
Notice that x is on the denominator, so, as x increases, the value of y decreases.
Now, for example if we use the values of the first table:
x 2 4 6 8
f(x) 12 6 4 3
The first pair is (2, 12)
Replacing that in the inverse variation formula we get:
12 = k/2
12*2 = k
24 = k
For the second pair (4, 6) we will get:
6 = k/4
6*4 = k
24 = k
And so on for all the pairs. If the variation is inverse, you should always get the same value of k (like in this case).
So this is the correct answer.
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Which equation correctly applies the distributive property?
Answer:
What are the anwser choices?
Step-by-step explanation:
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A box contains 15 large marbles and 11 small marbles. Each marble is either green or white. 9 of the large marbles are green, and 3 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or white? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
The probability of selecting a small or white marble is 10/13
Step-by-step explanation:
The total number of marbles is 15 + 11 = 26 marbles
The probability that we want to calculate is if the marble selected is small or white.
So we need to find the number of small marbles as well as the number of white marbles
We can construct a table to see the distribution of the marbles. Please check the attachment for this.
From the table , we can see that there are 11 small marbles and a total of 9 white marbles
The probability of selecting a white marble is;
number of white marbles/total number of marbles = 9/26
The probability of selecting a small marble will be ;
number of small marbles/total number of marbles = 11/26
In probability, whenever we have or, we tend to add
So therefore, the probability of selecting a white or small marble = Probability of selecting a white marble + Probability of selecting a small marble
Mathematically, that would be 9/26 + 11/26 = 20/26
So the probability is 10/13
Use the calculator to evaluate the function y = 1 *2 - 2 for the given values of x.
x= 4, y =
x=6, y=
Answer:
when x= -4, y= 2
when x= 6, y =7
Step-by-step explanation:
We have the x values, so we can plug them in and solve. for the first problem, it becomes y =1/4 (-4)^2 -2
first we do the exponent
y= 1/4 (16) - 2
Then the multiplication
y= 4-2
then subtraction
y=2
For the second problem, it becomes y= 1/4 (6)^2 -2 We follow the same steps
y = 1/4 (36) - 2
y= 9-2
y= 7
The function y = 1 *2 - 2 for the given values of x are
when x= -4, y= 2
when x= 6, y =7
We have the x values, so we can plug them in and solve. for the first problem, it becomes y =1/4 (-4)² -2
First we do the exponent
y= 1/4 (16) - 2
Then the multiplication
y= 4 - 2
then subtraction
y = 2
For the second problem, it becomes y= 1/4 (6)² -2 We follow the same steps
y = 1/4 (36) - 2
y = 9 - 2
y = 7
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Max and Maddy race. Max runs at a speed of 2mph. Maddy runs at a speed of 3mph. If Max takes 3 hours, what is Maddy's speed?
Plz answer!
Answer:
The question has the answer in it.. Maddy's speed.. which is 3 MPH :/ but... if you need to find the thing that isn't known... Maddy's time.. here is how..
Step-by-step explanation:
Max takes 3 hours at 2 mph.. soo 3x2=6 miles that max traveled
Maddy runs at 3 mph so .. 6 miles / 3MPH =2 hours, Maddy takes 2 hours
A car wash washes 68 cars in 8 hours. At this rate, how many cars are washed in 1 hour?
Answer:
8.5 (If just pure cars then 8.)
Step-by-step explanation:
To find this, just divide 68/8 to find how many cars are washed in an hour. Plugging it into a calculator, we find out that it is 8.5. If you need elaboration, just comment.
if f(x)=3^x+10x and g(x)=5x-3, find (f-g)(x)
Select the interval where f is negative
Answer:
The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero). y-values that are on the x-axis are neither positive nor negative. The x-axis is where y = 0.
Step-by-step explanation:
hope this helps :)
Lillian works 7hours each day for 5 days a week she earn £420 each week how much does she earn per hour
Answer:
£12 per hour
Step-by-step explanation:
7 × 5 = 35 hours
35 h : 420
1 h : x
x = 420×1 / 35
= £12 per hour
What is -6x+4x in standard form? This is due today and I never understand these
Answer:
-2x would be the answer
Step-by-step explanation:
You have to combine like terms.
Please help me help me
5. Suppose a bunny's second hop is 8% higher than her first hop. Is the
statement below true or false? If the statement is false, correct it.
"The bunny's second hop is 108% of her first hop."
Simplify.
[tex] {8}^{4} \times {8}^{5} = {8}^{?} [/tex]
Enter the missing exponent.
Answer:
The answer to your question is simply just 9.
If A ⊂ B, then A ∩ B = A ∪ B. a) sometimes b) always c) never
The Answer is Never- Hope this helps and have a great day!
Explanation:
We are given that set A⊂B .
This means that set A is properly contained in set B.
i.e. A≠B
This means that there are some elements in set B which are not in set A.
Now we have to show whether the following property A∩B=A∪B
always, sometimes or never hold.
As A is a proper set of B.
This means that: A∩B=A ( Since A is a smaller set)
Also, A∪B=B (Since B is a bigger set)
Hence, A∩B ≠ A∪B (Since A≠ B)
Credit to -virtuematane
Which representations have the same rate of change of y with respect to x as the slope -0.5?
I really need help!
The last option is "All of the above"
Answer:
All of the above
Step-by-step explanation:
Which of the following statements cannot be assumed from the diagram?
Answer:
Can you give me any more context?
The length of a rectangle is 3.7 inches when rounded to the nearest tenth of an inch. Select all of the following that could be the actual length of the rectangle.
Answer:
poop
Step-by-step explanation:
through: (0, 4) and (−2, −4)
Answer:m=4
Step-by-step explanation:Use the slope formula. The set up would be -4-4/-2-0. This gives us -8/-2 which you can simplify to 4.
A bookstore sells textbooks for $80 each and notebooks for $4 each. Th
bookstore would like to sell $800 in merchandise by the end of the week
write a linear equation that describes the problem
Answer:
the equation is 80×9=720 20×4=80 and if you add them together you get 800
reciprical of 17 plz and thank u
Answer:
the answer is 1/17
Step-by-step explanation:
Hotel A charges $140 and an additional $10 per person. Hotel B charges $80 and an additional $20 per person. Write an equation that will help determine how many people must rent the room for the charges to be the same?
Answer:
2 people must rent the room in hotel B to make the charges the same
Step-by-step explanation:
Find the slope of the line passes through (1,4) and (9,1)
Answer:
-0.375
Step-by-step explanation:
Way one(the harder one):
Let the line which passes through (1,4) and (9,1) be f(x)=kx+b
Sub (1,4) and (9,1) in and we get [tex]\left \{ {{4=1k+b} \atop {1=9k+b}} \right.[/tex]
=> (9k+b)-(k+b)=1-4
8k=-3
k=-3/8 or -0.375
Therefore the slope of the line is -3/8 or -0.375
Way two(the easier one):
k= [tex]\frac{change in y}{change in x}[/tex] = [tex]\frac{1-4}{9-1}[/tex] = -[tex]\frac{3}{8}[/tex]
which statement about the following system of inequalities is true? y-2x<2.5
Which of these equations has a negative sloping line?*
O y=-2/3x +8
O y = 2/3x - 8
O y = 4/3x +10
O y = 9/5x - 3
Answer:
Option 1.
Step-by-step explanation:
That option is the only one with a negative x coefficient, which is the slope.
Answer:
y=-2/3x +8
Step-by-step explanation:
the coefficient of x determines the slope of the line so negative coefficient, negative slope line
Find the equation of the perpendicular bisect of the given segment by following these steps
1. Determine the slope of the given segment
Answer:
3/2
Explanation: Just did this on Edge
Solve the inequality:
2x – 3 < x + 2 < 3x + 5
Show your work.
Answer:
x+2/3
Step-by-step explanation:
Hope this helps!
Step-by-step explanation:
2x−3<x+2≤3x+5
Solve 2x−3<x+2 for x.
x<5
Solve x+2≤3x+5 for x.
x≥−32
Find the intersection of x<5 and x≥−32.
−3/2≤x<5
Hope this helps! :) Plz mark as brainliest
I really need help....
..
Answer:
show the whole number line plz
Step-by-step explanation:
2 1⁄4 × 1 1⁄2 × 5⁄3 =
please help me
The answer is:
5 5/8
I got this by multiplying 2 1/4 and 1 1/2 first and i got 3 3/8, then multiplied that number with 5/3
If f(a) = 3a – a2, which of the following are not true statements?
Select all that apply.
A. f(-5) = -40
B. f(4) = -4
C. f(-1) = 2
D. f(0) = 3
C. f(3) = 0
The graph shows the relationship between distance driven and gallons of gas used.
Continuous graph on a coordinate plane shows distance driven, numbered 20 to 60 along the horizontal axis, and gallons of gas used, numbered 1 to 4 on the vertical axis. Solid circles appear at points (0, 0), (30, 1), (60, 2).
Use the graph to complete the statements.
The car gets
miles to the gallon.
After the car has traveled
miles, 2 and two-thirdsgallons of gas have been consumed.
Answer: 30 and 80
So the care gets *30* miles gallon.
After the car has traveled *80* miles, 2 2/3 gallons.
Answer:
30 and 80 is the answers
Step-by-step explanation:
Pool #1 is a rectangle that is 14 feet wide. The length is (14– 8)2ft.
The dimensions of the pool are: Length=________ ft Width=_________ft
Answer: the length is 6 feet. The width is 2 feet
Step-by-step explanation:
The garden pool is rectangular in shape.
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The area of a rectangle is expressed as L× W. The area of the rectangular garden pond is 12ft^2. It means that
L× W = 12 - - - - - - - - - - 1
The length of the pool needs to be 2ft more than twice that width. This means that
L = 2W + 2 - - - - - - - - - - - 2
Substituting equation 2 into equation 1, it becomes
W(2W + 2) = 12
2W^2 + 2W = 12
2W^2 + 2W - 12 = 0
W^2 + W - 6 = 0
W^2 + 3W - 2W - 6 = 0
W(W + 3) - 2(W + 3) = 0
W - 2 = 0 or W + 3 = 0
W = 2 or W = - 3
Since the Width cannot be negative, then the width is 2 feet
Substituting W = 2 into equation 2. It becomes
L = 2×2 + 2 = 6 feet