Answers
The domain and the range of the function are the sets X = {- 9, - 7, - 5, - 3, - 1, 1, 3} and Y = {- 5, - 3, - 1, 1, 3, 5, 7}.
How to derive the domain and the range of a function
Herein we need to determine the domain and the range of a function, functions are relations such that every element of the domain is related only to one element of the range.
Graphically speaking, the domain of a function are represented by the set of x-coordinates and the range by a set of y-coordinates. The picture shows a discrete function, that is, a function with a finite set of points. Then, the domain and range are listed by the following sets:
Domain
X = {- 9, - 7, - 5, - 3, - 1, 1, 3}
Range
Y = {- 5, - 3, - 1, 1, 3, 5, 7}
To learn more on domain and range of functions: https://brainly.com/question/28135761
#SPJ1
Related Questions
Can anyone state the vertex of the graph?
Answers
The graph has no vertex
The transformations from the parent function are
Vertical shift down 2Horizontal shift left 4How to determine the vertex?The graph represents the given parameter
As a general rule, the maximum or the minimum of a graph is the vertex
However, the graph has no maximum or minimum
This means that there is absence of a vertex in the graph
The transformationHere, we have:
The graph is translated 4 units to the left of the origin The graph is translated 2 units below the originThis transformation can be represented as (x - 4, y - 2)
Read more about vertex and transformations at
brainly.com/question/15709421
brainly.com/question/4289712
#SPJ1
Given f(x) = 19 - 4x|, find f (7)
Answers
The value of f(7) is 9 given that f(x) = |19 - 4x|
How to determine the value of f(7)?A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
Given: f(x) = |19 - 4x|
To find f(7), substitute x = 7 into f(x) = |19 - 4x|:
f(7) = |19 - 4(7)| = |19-28| = |-9| = 9
Note: The sign | | means absolute, the sign of any value inside it will be discarded and only the number is written
Therefore, f(7) is 9
Learn more about function on:
brainly.com/question/29233399
#SPJ1
If y is directly proportional with x and y = 91 when x = 7 what is the value of y when x = 15
What is the constant of variation (k)?
What is the value of Y when X = 15?
pls help 30 points :)
Answers
The constant of variation is 13.
The value of y when x is 15 is 195.
What is direct variation?Direct variation is when two values move in the same direction. If one variable increases, the other variable increases.
The equation that represents direct variation is:
y = kx
Where:
y = dependent variable k = constant of variationx = independent variable91 = 7k
k = 91 / 7
k = 13
The value of y when x = 15
y = 13 x 15
y = 195
To learn more about direct variation, please check: https://brainly.com/question/27573249
#SPJ1
If f(x) = x, when g(x) = f(x) - 10 is graphed on the same coordinate grid, which statement describes the relationship of the graphs of f and g?
Answers
The graph g(x) is graph of f(x) translated down 10 units.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is plotted as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that changes over time is represented by a line graph.
Given:
f(x) = x, when g(x) = f(x) - 10
As, from the graph we can see that both function f(x) and g(x) shows a parallel relation.
Also, the function f(x) is subtracted from 10 then the function is translated down by 10 units.
Hence, g(x) is graph of f(x) translated down 10 units.
Learn more about Graph here:
https://brainly.com/question/17267403
#SPJ1
pls help me with algebra
Answers
The table of ordered pairs (x, y) gives an exponential function.
Write an equation for the function.
X
-1
0
1
2
y
1
3
2
12
72
Answers
Answer:
y=2·6^2
Step-by-step explanation:
Use formula y=a[tex]b^x[/tex], plug in two different points.
72=ab^2
12=ab^1
isolate one so that a is on one side
a=[tex]\frac{12}{b}[/tex]
plug in a into the other equation
72=[tex]\frac{12}{b}[/tex][tex]b^2[/tex]
72=[tex]\frac{12b^2}{b}[/tex]
72=12b
b=6
complete solving for a now
a=2
now put it back into [tex]y=ab^x[/tex]
y=2·6^2
A cake is made of 300 grams of flour,150 grams of sugar powder, and 0.75 liters of
water. Find the ratio of the floor to the total mass of the mixture.
Answers
Answer: 1/4
Step-by-step explanation:
0.75 liters is the same as 750 grams.
So, the total mass of the mixture is [tex]300+150+750=1200[/tex] g.
This means the ratio is [tex]\frac{300}{1200}=\frac{1}{4}[/tex].
Answer:
Flour : total mass = 1 : 4
Step-by-step explanation:
Given ingredients for the cake:
Flour = 300 gSugar = 150 gWater = 0.75 LFirst convert the mass of the water to the same SI units as the other ingredients.
1 liter = 1000 g
⇒ Water = 0.75 liters = 750 g
Total mass of the mixture:
= flour + sugar + water
= 300 g + 150 g + 750 g
= 1200 g
Therefore, the flour to total mass ratio is:
⇒ Flour : total mass = 300 : 1200 = 1 : 4
Solve the following:
2x -7 /4= x + 3/3
Answers
Answer:
[tex]\frac{11}{4}[/tex] or 2 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Here is one way to solve this problem
2x - [tex]\frac{7}{4}[/tex] = x + 1 (3/3 is another way to write one) Multiply all the way through by 4
4(2x - [tex]\frac{7}{4}[/tex]) = 4(x + 1) Distributive property
8x -7 = 4x +4 Subtract 4x from both sides
4x - 7 = 4 Add 11 to both sides
4x = 11 Divide both sides by 4
x = [tex]\frac{11}{4}[/tex]
\frac{2x^3t^3}{xt^2}\:\cdot \frac{\left(3xt\right)^3}{9x^2t}
Answers
Answer:
[tex]6x^{3}t^{3}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{\left(3xt\right)^3}{9x^2t}[/tex]
[tex]\textsf{Apply exponent rule} \quad (ab)^c=a^c \cdot b^c:[/tex]
[tex]\implies \dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{3^3x^3t^3}{9x^2t}[/tex]
[tex]\implies \dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{27x^3t^3}{9x^2t}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{ac}{bd}:[/tex]
[tex]\implies \dfrac{2x^3t^327x^3t^3}{xt^29x^2t}[/tex]
Collect like terms:
[tex]\implies \dfrac{2 \cdot 27x^3x^3t^3t^3}{9x^2xt^2t}[/tex]
Multiply the numbers 2 and 27:
[tex]\implies \dfrac{54x^3x^3t^3t^3}{9x^2xt^2t}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies \dfrac{54x^{3+3}t^{3+3}}{9x^{2+1}t^{2+1}}[/tex]
[tex]\implies \dfrac{54x^6t^6}{9x^3t^3}[/tex]
Separate like terms:
[tex]\implies \dfrac{54}{9} \cdot \dfrac{x^6}{x^3}\cdot \dfrac{t^6}{t^3}[/tex]
Divide the numbers 54 and 9:
[tex]\implies 6 \cdot \dfrac{x^6}{x^3}\cdot \dfrac{t^6}{t^3}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies 6 \cdot x^{6-3}\cdot t^{6-3}[/tex]
[tex]\implies 6 \cdot x^{3}\cdot t^{3}[/tex]
[tex]\implies 6x^{3}t^{3}[/tex]
NSPECTIONS Mrs. Sanchez is inspecting a shed to determine if it is safe to use for storing football equipment. Mrs. Sanchez mapped the top view of the ceiling walls of the shed on a coordinate plane. If one of the walls lies from (–6, 11.5) to (2, 9.5) and the second wall lies from (–1, –2.5) to (2, 9.5), are the walls perpendicular? Explain your reasoning.
Answers
Answer:
Step-by-step explanation:
Answer:Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4
Step-by-step explanation:
check the slope of both points
(-6,11.5) to (2, 9.5)
11.5-9.5= 2
-6-2=-8
2/-8
m=-1/4
(-1, -2.5) to (2,9.5)
-2.5=9.5=-12
-1-2=3
-12/-3
m=4
Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4
Allie is playing basketball. She takes a shot 17 ft away from the basket. When the ball is 2 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 17 ft above the
floor when it is 9 feet away from her.
a. Find the value of a.
b. If the hoop is 10 ft high, how close would Allie have to be in order to make the basket?
a. The value of a is
(Simplify your answer.)
Answers
According to the vertex form of the parabola,
a) The value of a is -1/7.
b) And If the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.
Vertex form of the parabola
The vertex form of the parabola can be given as,
y = a(x - h)² + k
Where
h,k are the coordinates of the vertex.
Given,
Allie is playing basketball. She takes a shot 17 ft away from the basket. When the ball is 2 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 17 ft above the floor when it is 9 feet away from her.
Here we need to find the following:
a. The value of a
b. If the hoop is 10 ft high, how close would Allie have to be in order to make the basket?
We know that, Allie takes a shot of 17 ft away and at the distance of 2 feet the ball achieve the height of 10 feet from the ground.
And the greatest height achieved by the ball is 17 ft above the floor.
Then the value of a is calculated by using the point that is obtained thorough the given details is,
=> (2, 10)
And the vertex of the equation are (9, 17)
When we apply these on the vertex form, then we get,
10 = a(2 - 9)² + 17
-7 = a(-7)²
49a = -7
a = -1/7
Therefore, the value of a is 1/7.
Now we have to find if the hoop is 10 ft high, The distance close to Allie have to be in order to make the basket-
Here the value of y is 10 and x is not known.
Now, we have to put these values on the equation then we get,
=> 10 = -1/7 (x - 9)² + 17
=> -7 = -1/7 (x -9)²
=> 49 = (x - 9)²
=>√49 = x - 9
=> x = 16
Therefore, if the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.
To know more about Vertex form of the parabola here.
https://brainly.com/question/20333425
#SPJ1
the food and drug administration (fda) is a u.s. government agency that regulates (you guessed it) food and drugs for consumer safety. one thing the fda regulates is the allowable insect parts in various foods. you may be surprised to know that much of the processed food we eat contains insect parts. an example is flour. when wheat is ground into flour, insects that were in the wheat are ground up as well. the mean number of insect parts allowed in 100 grams (about 3 ounces) of wheat flour is 75. if the fda finds more than this number, they conduct further tests to determine if the flour is too contaminated by insect parts to be fit for human consumption. the fda takes a random sample of 35 bags of flour for evaluation and finds that they contain an average of 80 insect parts per 100 grams, with a standard deviation of 6.3. which hypothesis test should be used to determine whether the sample contains more than the allowed 75 insect parts per 100 grams?
Answers
From the information, observe that the food and drug Administration is a US government agency that regulates food and drugs for customer safety.
One thing the FDA regulates is the allowable insect parts in various foods.
When wheat is ground into the flour, insects that were in the wheat are ground up as well.
The mean number of insect parts allowed in 100 grams of wheat flour is 75
The FDA takes a random sample of 35 bags of floor for evaluation and finds that their average of 80 insect parts per 100 grams with a standard deviation of 6.3
In this situation use t test for population mean because the population standard deviation is not known.
Hence, the correct option is (2).
To learn more about evaluation click here https://brainly.com/question/25907410
#SPJ4
if the 90% confidence limits for the population mean are 45 and 55, which of the following could be the 99% confidence limits a) [48, 55] b) [49, 53] c) [42, 58] d) [46, 51] e) [49, 51] f) none of the above
Answers
The 99% confidence limit will be option B which is (45, 55)
90% confidence limits for the population mean are (46,54)
mean = 46+54 / 2 = 50.
the margin of error E = 54-46/2 = 4
For 90% Confidence Z- Critical value is = 1.645
But the margin of error
E = ZS/√n
4=(1.645)S/√n
S/√n = 4 / 1.645
= 2.4316
For 95% confidence Z-critical value is 1.96
A 95% confidence interval is = mean ± E
(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316
= 50+ 4.7660
= 45.2340, 54.7660
= (45, 55)
Hence the correct option is B which is (45, 55) as the 99% confidence limit.
To learn more about mean, median, and mode,
https://brainly.com/question/15323584
#SPJ4
5 The table shows the weights of different packages.
What is the approximate total mass of packages A, B,
and D? (Hint: 1 lb ≈ 0.45 kg)
Package | Weight (lb)
A | 0.25
B | 0.8
C | 1
D | 1.75
answers:
F 1.26 g
G 2.8 g
H 280 g
J 1260 g
Answers
Answer:
1710 grams (not on the answer list)
Step-by-step explanation:
The total weight of the 4 packages is 3.8 pounds (lbs). The conversion factor is (0.45 kg/lb).
(3.8 lbs)*((0.45 kg/lb) = 1.71 kg or 1710 grams. Pease check the numbers provided.
30% of the tickets sold at a school carnival were early-admission tickets. If the school sold 100 tickets in all, how many early-admission tickets did it sell?
Answers
The number of early-admission tickets that it sells is 30.
How to calculate the number of early admission?From the information, 30% of the tickets sold at a school carnival were early-admission tickets and the school sold 100 tickets in all.
Therefore, the number of early admission will be:
= Percentage for early admission × Total number of tickets
= 30% × 100
= 0.3 × 100
= 30
Therefore, there are 30 early admission.
Learn more about percentages on:
brainly.com/question/29336050
#SPJ1
Help pls I'll give you brainliest and 15 points asap.
How does the graph of g(x)=4⌊x⌋ differ from the graph of f(x)=⌊x⌋?
1. Multiplying by 4 shifts the graph of g(x)=4⌊x⌋ up 4 units.
2.Multiplying by 4 shifts the graph of g(x)=4⌊x⌋ down 4 units.
3.Multiplying by 4 stretches the graph of g(x)=4⌊x⌋ vertically by a factor of 4.
4.Multiplying by 4 shifts the graph of g(x)=4⌊x⌋ right 4 units.
Question 2
How does the graph of g(x)=⌊x⌋−3 differ from the graph of f(x)=⌊x⌋?
1.The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted right 3 units.
2.The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted left 3 units.
3.The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted up 3 units.
4.The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted down 3 units.
Answers
Answer:
Question 1: #3 is correct.
Question 2: #4 is correct.
Please help!! Asap screenshot below.
Answers
Help please
74°
94°
100°
106°
Answers
Answer:
106
Step-by-step explanation:
180-74=106
You can find x by looking at the corresponding angle under it and we know a straight line is 180 degrees and the other side of the x is 74 degrees then we just subtract to find the x angle
Hopes this helps please mark brainliest
s 3)
3) Find the measure of 4A:
5x
130⁰
5x
Please help
Answers
180 - 130 = 50
50 / 2 (angles left that we know they are congruent) equals: 25
Answer : angle A = 25
A 7-meter roll of blue ribbon costs $12.04. What is the unit price?
Answers
The unit price for a 7-meter roll of blue ribbon costs $12.04 is $1.72.
What is unit price?The unit price is simply used to calculate the price that's paid for each good.
In this case, the 7 -meter roll of blue ribbon costs $12.04. Therefore, to get the unit price goes thus:
= Total amount paid / Number of meters
= $12.04 / 7
= $1.72
The unit price is $1.72.
Learn more about price on:
brainly.com/question/14286952
#SPJ1
The variable p represents number of presents. If it takes 10 feet of ribbon to make 1 bow on a present and 3 feet is used to practice trying the bow, the expression 10p + 3 can be used. If there are 7 presents, how much ribbon is needed? Ribbon is sold in 15 feet packages. How many do you need to buy?
Answers
The number of ribbons needed is 73
The number of ribbons to buy is 109. 5
What is a function?A function can be described as an expression or rule that explains the relationship between two main variables in an equation.
These variables are called;
Independent variableDependent variableWe have the expression;
N = 10p + 3
Where 'p' represents the number of presents
N is the number of ribbons
Now, let's substitute the value of p as 7
N = 10(7) + 3
N = 70 + 3
N = 73 ribbons
If 10 feet = 73 packages
15 feet = x
cross multiply
x = 73(15)/10
x = 109. 5 ribbons
Hence, the value is 73
Learn more about functions here:
https://brainly.com/question/25638609
#SPJ1
F(x,y) = x^2 + y^2 - 2x, D is the closed triangular region with vertices (0,0), (0,2), and (0,-2). Find the absolute maximum and minimum values of f on the set D. I know the maximum and minimum are f(0,+-2) = 4, minimum f(1,0) = -1. I need a step by step process on how to get to this answer
Answers
The absolute maximum value is f(0,±2) = 4 and the absolute minimum value is f(1,0) = -1.
The given function is F(x,y) = [tex]x^{2}[/tex] + [tex]y^{2}[/tex] - [tex]2x[/tex] → 1
D is the closed triangular region with the vertices (0,0), (0,2) and (0,-2).
Differentiate 1 partially with respect to x:
df/dx = [tex]x^{2}[/tex] + [tex]y^{2}[/tex] - [tex]2x[/tex]
[tex]f^{'}[/tex](x) = 2x - 2
Differentiate 1 partially with respect to y:
df/dy = [tex]x^{2}[/tex] + [tex]y^{2}[/tex] - [tex]2x[/tex]
[tex]f^{'}[/tex](y) = 2y
Consider [tex]f^{'}[/tex](x) = 0 and [tex]f^{'}[/tex](y) = 0 to find the critical points.
[tex]f^{'}[/tex](x) ⇒ 2x -2 =0
x = 1
[tex]f^{'}[/tex](y) ⇒ 2y
y = 0
Thus, the critical point is (x,y) = (1,0).
Calculate the values of f(x,y) at (0,0), (0,2), (0,-2) and (1,0).
At (x,y) = (0,0)
f(0,0) ⇒ 0 + 0 - 0 = 0
At (x,y) = (0,2)
f(0,2) ⇒ 0 + 4 - 0 = 4
At (x,y) = (0,-2)
f(0,-2) ⇒ 0 + 4 - 0 = 4
At (x,y) = (1,0)
f(1,0) ⇒ 1 + 0 - 2 = -1
Therefore, the absolute maximum is f(0,±2) = 4 and the absolute minimum is f(1,0) = -1.
To know more about maximum and minimum problems refer to:
https://brainly.com/question/29409891
#SPJ4
help
How many terms are in the following
expression:
5x + 3 - x +2x + 2/3x
Answers
omg !!! please help so much !
Answers
Answer:
75
Step-by-step explanation:
15*3=45
6*5=30
45+30=75
Please mark Brainliest.
0.00097 in standard form
Answers
Answer:
9.7x10^-4
Step-by-step explanation:
Does the point (-2, 7) lie on the graph of y = -2x+1
Answers
The point (-2, 7) is not on the graph of y = -2x + 1
How to determine if the point is on the graph?From the question, we have the following equation
y = -2x + 1
This equation represents the equation of the graph
Also, we have the following points
(-2, 7)
This point implies that
(x, y) = (-2, 7)
Substitute (x, y) = (-2, 7) in the equation y = -2x + 1
So, we have
7 = -2 x -2 + 1
Evaluate
7 = 5
This is false
Hence, the point is not on the graph
Read more about linear graphs at
https://brainly.com/question/14323743
#SPJ1
Can anyone write the equation of the graph?
Answers
The absolute value graph has its equation to be f(x) = |x - 3| + 5
How to determine the equation of the graph?The graph represents the given parameter
From the graph, we can see that the graph is an absolute value graph
An absolute value graph is represented as
f(x) = a|x - h| + k
Where h and k are the vertex of the graph
In this case, they are
h = 3 and k = 5
This is because the minimum point of the graph is (3, 5)
Substitute values for h and k in the form of the equation
So, we have the following representation
f(x) = a|x - 3| + 5
A point on the graph is (2, 6)
This gives
a|2 - 3| + 5 = 6
When the value of variable a is solved, we have
a = 1
So, the equation becomes
f(x) = 1 * |x - 3| + 5
Evaluate the products
f(x) = |x - 3| + 5
Hence, the equation of the graph is f(x) = |x - 3| + 5
Read more about absolute value functions at
https://brainly.com/question/3381225
#SPJ1
Use the number line to find the difference of 2 - (-4.5)
Answers
The value after solving the expression will be equal to 6.5.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
From the data in the question,
The expression is,
2 - (-4.5)
⇒ 2 + 4.5
= 6.5
Therefore, the result for the expression is 6.5.
To know more about the arithmetic operation:
https://brainly.com/question/13585407
#SPJ1
f(x) = x +4
g(x) = 3x
What is the value of fg(7)?
Answers
Answer: 105 (altough im not entirely sure sry...)
Step-by-step explanation:
I believe since it is "fg" then only the g gets the 7 (g(7)) and the f is just f(1)
This is quite difficult so you this may not be correct
I hope
Noah runs a farm stand that sells bananas and raspberries. Each pound of bananas
sells for $3 and each pound of raspberries sells for $2.25. Noah made $72 from
selling a total of 28 pounds of bananas and raspberries. Graphically solve a system of
equations in order to determine the number of pounds of bananas sold, a, and the
number of pounds of raspberries sold, y.
Answers
There is no possible solution for the weight of raspberries sold, given that 28 pounds of banana were sold.
What is Co-ordinate Geometry?
Graphs and coordinates are utilised in coordinate geometry to discover information about various geometric figures. A description of the coordinate plane must be included in a definition of coordinate geometry. A coordinate plane, also known as a coordinate graph, is a grid system formed by the intersection of two number lines known as axes. The x-axis is the horizontal number line, and the y-axis is the vertical number line. These axes meet at a position known as the origin.
Solution:
let, the total weight of banana sold be x pounds
and total weight of raspberries soldd be y pounds.
From the data given in the question, the equation formed is
3x + 2.25y = 72
(See Graph)
at x = 28 we will get the value of y as -5.34
which is not a possible solution
To learn more about Co-ordinate Geometry from the given link\
https://brainly.com/question/18269861
#SPJ1
