Answer:
The domain of R is {-3,-2,1,-3,0}
The range of R is: {2,1,3}
The relation R is not a function
Step-by-step explanation:
Relations and Functions
We are given the ordered pairs of a relation, let's call it R:
R={(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}
The domain of R is the set of values that relate to 1 or more elements from the range.
The domain of R is {-3,-2,1,-3,0}
The range of R is: {2,1,3}
Note the value 2 is repeated in the second set, but it's reported only once as part of the Range.
A relation is a function if each element of the domain appears in only one ordered pair, or relates to a single element in the Range.
The relation R is not a function, because the ordered pairs (-3, 2) and (-3, 1)
map the element -3 twice.
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]
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:
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:
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
4x+5=6x-7
How do I solve this?
Answer:
x=6
Step-by-step explanation:
4x+5=6x-7
4x-6x=-7-5
-2x=-12
x=-12/-2
x=6
Answer: x=6
Isolate the variable by dividing each side by the factors that don't contain variables
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
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
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
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.
Simplify.
[tex] {8}^{4} \times {8}^{5} = {8}^{?} [/tex]
Enter the missing exponent.
Answer:
The answer to your question is simply just 9.
-5.8 + -2.2= a positive number
Answer:
it would be negative (-8)
Step-by-step explanation:
-5.8 + -2.2 = -5.8 - 2.2
this would result in a negative number (-8)
Which equation correctly applies the distributive property?
Answer:
What are the anwser choices?
Step-by-step explanation:
?
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
Learn more about function here:
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if f(x)=3^x+10x and g(x)=5x-3, find (f-g)(x)
reciprical of 17 plz and thank u
Answer:
the answer is 1/17
Step-by-step explanation:
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.
which statement about the following system of inequalities is true? y-2x<2.5
Am I correct, if not please explain the correct answer.
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No buddy you are wrong .
Look ;
(( Left table )) :
[tex] \frac{y}{x} = 6 \\ [/tex]
[tex] \frac{48}{8} = 6 \\ [/tex]
[tex] \frac{60}{10} = 6 \\ [/tex]
[tex] \frac{72}{12} = 6 \\ [/tex]
Thus it is proportional .
_________________________________
(( Right table )) :
[tex] \frac{y}{x} = \: .... \\ [/tex]
[tex] \frac{12}{6} = 2 \\ [/tex]
[tex] \frac{28}{7} = 4 \\ [/tex]
[tex] \frac{68}{8} = 8 \\ [/tex]
_________________________________
Thus the left table is proportional and
y is 6 times x in it.
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HELP ASAP!!!
Select all that apply.
Which of the following statements are true of the greatest common factor of two numbers?
O Each number must share the factor.
O The number must be large.
O The greatest common factor could be 1.
O The number must be the largest factor both numbers share.
Answer:
the second answer is wrong, and the rest is all correct
Step-by-step explanation:
The GCF has to be the largest factor they share, but it's not necessary for it to be large.
Answer:
each number must share the factor.
the greatest common factor could be one.
the number must be the largest factor both share.
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:
Please help me help me
Which number below has a value between 6.6 and 6.7?
The correct answer for this question is .1.
The prices for different lengths of ribbon sold at a fabric store are shown in the table.
Which statement BEST justifies whether or not the relationship between the length and price represents a function?
A.
This relationship does not represent a function because it relates inches and dollars.
B.
This relationship represents a function because no length of ribbon has more than one price.
C.
This relationship represents a function because the price per inch decreases as the length of ribbon increases.
D.
This relationship does not represent a function because the prices of different lengths of ribbon are all different.
Answer:
B. This relationship represents a function because no length of ribbon has more than one price.
Step-by-step explanation:
A relation is considered as a function when there is exactly just one possible range value that any of the domain value can give. In order words, each domain value of a function cannot have more than one range value.
In the given table of values representing the length and price of ribbon, the domain includes all the set of lengths of the ribbon while the range is the set of the corresponding prices the lengths can cost.
Thus, each length given has exactly just one price. No particular length has more than one price. Therefore, we can consider this as a function.
Which of the following statements cannot be assumed from the diagram?
Answer:
Can you give me any more context?
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:
What is the slope of the function?
-6
-4
4
6
Answer:
-6
Step-by-step explanation:
TO find the slope pick two points and do y2 - y1 / x2 - x1
I picked the first two:
2 - 8/ -1 - -2 = -6/ 1 = -6
The slope of the given line is - 6 as per slope-intercept form.
What is the slope of a straight line?The linear equation y = mx + c represents the slope-intercept form of a line passing through the point (x, y).
Here, 'm' is the slope and 'c' is the y-intercept of the given line.
The slope of a line that passes through points (x₁, y₁) and (x₂, y₂) is defined as:
m = (y₂ - y₁)/(x₂ - x₁)
Therefore, the slope of a line that passes through (-2, 8) and (-1, 2) is
= (2 - 8)/[- 1 - (- 2)]
= - 6/1
= - 6
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I need help plz someone help me plz :(
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.