Use what you know about domain to select all of the following functions that could be the one graphed.
Answers
Using transformations, the functions that could represent the one graphed are given as follows:
y = sqrt(x) - 3.y = sqrt(x) - 1.What is a transformation?A transformation is when a function undergoes a change in it's definition. Depending on the type of the transformation, the function can keep the same orientation, same side lengths, and so on.
In the context of this problem, the function kept the same orientation, it just changed it's position, hence the type of transformation that the function underwent was a translation.
The possible translations are given as follows:
Translation down, changing the range.Translation up, changing the range.Translation left, changing the domain.Translation right, changing the domain.The domain of the graphed function is given by:
x ≥ 0.
Which is the same domain as the parent square root function, given as follows:
y = sqrt(x).
From the graph, the function was translated down a units, changing it's range, hence the function has the following format:
y = sqrt(x) - a.
Hence the first two options can be correct, either with a = 1 or with a = 3. The last two options change the range but not the domain, hence they are incorrect.
What is the missing information?The image at the end of the answer gives the complete problem.
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Related Questions
monroe's teacher wants each students to draw a sketch of the longest specimen which specimen is the longest
Answers
The most appropriate choice for tabular data will be given by-
Specimen B is the longest and its size is 0.011 cm. So Monroe's teacher wants each student to draw the sketch of Specimen B
What is tabular data?
Data given in the form of rows and columns is known as tabular data.
Here,
Size of specimen A = 0.008 cm
Size of specimen B = 0.011 cm
Size of specimen C = 0.0025 cm
Size of specimen D = 0.004 cm
Size of the longest specimen = 0.011 cm
Specimen B is the longest and its size is 0.011 cm. So Monroe's teacher wants each student to draw the sketch of Specimen B
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Complete Question
The table has been attached
Specimen Actual length(cm) Size seen under microscope (cm)
A 0.008
B 0.011
C 0 .0025
D 0.0040
I could use some help solving these two problems if possible. Thank you.
Answers
Solution:
iven the figure below:
Where
[tex]\begin{gathered} S\Rightarrow satellite \\ B\Rightarrow Bora-Bora \\ G\Rightarrow Greenland \\ R\Rightarrow Rapa\text{ Nui} \\ H\Rightarrow St.\text{ Helen} \end{gathered}[/tex]Using the secant-secant theorem expressed as
[tex]SB\left(SB+BG\right)=SR\left(SR+RH\right)\text{ ----- equation 1}[/tex]Given that th e satellite signal reaches Bora-Bora at 38,000 km and Greenland which is an additional 20,000km, this implies that
[tex]\begin{gathered} SB=38000 \\ BG=20000 \end{gathered}[/tex]If the distance from the satellite to Rapa Nui is 45,000 km, this implies that
[tex]SR=45000[/tex]The total distance from the satelite to St. Helen is expressed as
[tex]SH=SR+RH\text{ ----- equation 2}[/tex]From equation 1,
[tex]\begin{gathered} \begin{equation*} SB\left(SB+BG\right)=SR\left(SR+RH\right)\text{ } \end{equation*} \\ substitute\text{ equation 2 into equation 1} \\ thus,\text{ we have} \\ SB\left(SB+BG\right)=SR\left(SH\right)\text{ ---- equation 3} \end{gathered}[/tex]Substituting the values, we have
[tex]\begin{gathered} 38000\left(38000+20000\right)=45000\left(SH\right) \\ \Rightarrow38000\times58000=45000\left(SH\right) \end{gathered}[/tex]divide both sides by 45000,
[tex]\begin{gathered} SH=\frac{38000\times58000}{45000} \\ \Rightarrow SH=48977.77777 \end{gathered}[/tex]Hence, the signal will travel a distance of 48977.77777 km from the satellite to St. Helen.
3. Grace is thinking of a number. She states that
free times the number increased by six is
twenty-four
Which choice can be used to find
(1) 3(2-6) = 24
(3)3-6=24
(4) 3m +6 = 24
9x2=18+6=2
X
Answers
The choice that can be used to find the expression (three times the number increased by six is twenty-four) is (C) 3m + 6 = 24.
What are expressions?A group of numbers or variables combined with the operations +, -,×, or ÷ form an expression. Algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that only contain numbers and mathematical operators.So, three times the number increased by six is twenty-four:
The equation can be: 3x + 6 = 24Which is similar to the option (C) that is 3m + 6 = 24.Therefore, the choice that can be used to find the expression (three times the number increased by six is twenty-four) is (C) 3m + 6 = 24.
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The correct question is given below:
Grace is thinking of a number. She states that three times the number increased by six is twenty-four. Which choice can be used to find
(A) 3(2-6) = 24
(B)3-6=24
(C) 3m + 6 = 24
(D) 9x2=18+6=2
HELP IF U CAN ILL GIVE BRAINLIESt AND 20 POINTS SHOW UR WORKK!!!!
Answers
Answer:
9
Step-by-step explanation:
→ Multiply by every value to see
735 - ( 24.99 × 9 ) = 510.09
∴ He has to add money in the 9th month otherwise he will be charged
Answer:
9
Step-by-step explanation:
24.99 x 9 = 224.91
735 - 224.91 = 510.09
4. Write a comparison statement for 9 x 3 = 27
Answers
Given the following expression:
[tex]\text{ 9 x 3 = 27}[/tex]Making a comparison statement out of this will be: 27 is 3 times more than 9.
An angle measures 108° more than the measure of its supplementary angle. What is the
measure of each angle?
Answers
The measure of each angle are 36° and 144°
What is Supplementary angle?
Two angles are said to be supplementary if their sums total 180 degrees. A linear pair's two angles, like angles 1 and 2 in the illustration below, are always supplementary. But two angles don't have to be close to one another to be supplementary. In the following image, 3 and 4 are supplementary since their sums equal 180 degrees.
Let the provided angle be x, the supplementary angle be y.
y = x + 108 since x has 108° greater than y.
The total of the additional angles is 180°.
x + y = 180,
x + x + 108 = 180,
and x = 180 - 108.
2x = 72
x = 72/2
x = 36
Then,
y = x + 108
y = 36 + 108
y = 144
Consequently, the angles are 36° and 144°.
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Let f(x)=x2−12 and g(x)=13−x.
Perform the composition or operation indicated. (fg)(4)
Answers
Answer:
The answer would be 36.
Step-by-step explanation:
I linked the steps I used to get this answer in the image, I hope this helps :)
Given a series discount of 20/10/10/20 what is the net cost equivalent?
Answers
The net cost equivalent is the price the customer pays after deducting all the discounts. To find the net cost equivalent given an amount n of discounts, we use the following formula
[tex]N=(1-d_1)(1-d_2)\ldots(1-d_n)[/tex]Where d is the discount written as a decimal.
In our problem, we have a series discount of 20/10/10/20, therefore, the net cost equivalent is
[tex]\begin{gathered} N=(1-0.20)(1-0.10)(1-0.10)(1-0.20) \\ =(0.8)(0.9)(0.9)(0.8) \\ =0.5184 \end{gathered}[/tex]if a=4 b=6 and c=10 what is the volume of the three prisms above
Answers
Because the prisms are stacked onto one another, they have a total volume of 320 cubic units
How to determine the volume of the figure?The possible question is added at the end of the solution and as an attachment
From the attached figure, we have the following parameters
Shape 1: Cube of dimension aShape 2: A cuboid of dimension a, a and bShape 2: A cuboid of dimension a, a and cThe volume of a prism is the prodict of its dimensions
This means that
Cube = Length^2
Cuboid = Base area * Height
So, we have the following equations
Shape 1 = a^3
Shape 2 =a^2b
Shape 3 =a^2c
Substitute the known values in the above equation
So, we have
Shape 1 = a^3 = 4^3 = 64
Shape 2 =a^2b = 4^2 * 6 = 96
Shape 3 =a^2c = 4^2 * 10 = 160
Add the above values
Prism volume =64 + 96 + 160
Evaluate the sum
So, we have
Prism volume = 320
Hence, the volume of the three prisms is 320 cubic units
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Graph both lines and plot the point of intersection of the system. -x+y=1 and 2x+y=10
Answers
The point of intersection of the system of equations is (3, 4) and this is plotted in the graph shown below.
What is a point of intersection?In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
In conclusion, the coordinate (3, 4) is the point of intersection of the given system of equations.
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I have failed this question a lot and I don't know what I'm doing wrong,
Find the vertex of:
Answers
Answer:
(-2,-7)
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex (h,k).
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-15}x^2\stackrel{\stackrel{b}{\downarrow }}{-60}x\stackrel{\stackrel{c}{\downarrow }}{-67} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -60}{2(-15)}~~~~ ,~~~~ -67-\cfrac{ (-60)^2}{4(-15)}\right) \implies \left( - \cfrac{ -60 }{ -30 }~~,~~-67 - \cfrac{ 3600 }{ -60 } \right) \\\\\\ (-2~~,~~-67+60)\implies {\Large \begin{array}{llll} (-2~~,~~-7) \end{array}}[/tex]
Francis heard that a car stereo system was on sale for 30% off. If the sale price was 57.75, what was the original price of the stereo?
Answers
We can calculate it with a direct rule of 3. As it has a 30% off, the remaining price is the 70% and we want to know how much 100% is.
We use the formula of the direct rule of 3 to give us
x = 82.5
The original price of the stereo was $82.50!
Answer:
$82.50
Step-by-step explanation:
82.5 times 0.7 = 57.75
doing 57.75 + 30% wouldn't work, so you have to increase the number (original price) being discounted until you get 57.75
also, the '0.7' is 70% which also means '30% off' because you took 30% away from the original price that was 100%
math calculator saves the day? dont use paper or it would take a long time (unless it was a test or teacher said no)
Discussion forum---reply to this post
There is no one right answer to why statistics is misleading. There can be many factors at work that have hidden variables that affect the outcome of the data. It’s up to us to see the data and come up with factors that could be hidden but still at work that we don’t see. It’s important to study the data, to see if there are hidden variables in the data or not.
But I still think, any statistics is good to help the decision-making process. It's good to see data before making the final decision. Any sort of data, good or bad is still useful to see trends. Data should be considered when making decisions, but more analysis should be done before any final decision can be made. Data at face value can be right but we should make sure if there is any hidden information that we don’t know about.
Answers
Statistics can be misleading by faulty sampling and inaccurate graphs
What is statistics?The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.
Given Data
Statistics can be misleading.
Statistics is quite powerful. So much so that some of the most significant decisions made by individuals and organizations were based on statistics. The adage that "statistics don't lie" may actually be true. However, statistics can occasionally be deceptive, and depending on how they are used, the same type of data can demonstrate the opposite tendency.
Sometimes inaccurate information is purposefully supplied in order to influence individuals and forward a goal. Similarly, it can also occur as a result of negligence or just failing to comprehend the data.
Knowing the various ways statistics can be abused will help you spot them and avoid making decisions based on skewed or inaccurate information.
1)Faulty sampling
The info can due to the sampling strategy employed to gather the data, be deceptive. For instance, the size and kind of the sample used in any statistics has a big impact. Since many surveys and polls are directed at specific groups of people who give particular answers, the sample sizes tend to be tiny and skewed.
2)Inaccurate graphs
Data manipulation can be done in a variety of ways, not just by using descriptive statistics incorrectly. You can identify them if you are aware of them.
3)Chooser Data Display
This type of data visualization might be perplexing and exaggerate differences. If you look at the data and consider how much variety there is in the numbers, you can spot false graphs in the media.
4)Absence of Baseline
Checking to see if the start-at-zero criteria has been adhered to is another approach to spot a deceptive graph. In a graph, The New York Times demonstrated that its sales are double those of The Daily Telegraph. However, if you look at the scale, you can see that the sales difference is just about 10%.
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please can an expert help me
Answers
The Range of the given function graph is gotten as; Option D: (-4, -1, 0, 1, 2)
How to find the range of a function graph?
The range of a function is defined as a set of all possible output values for which a function is said to hold.
Now, when it comes to a function graph, we can easily say that the range of the function of the graph will be the set of possible values along the y-axis. That is all possible y-values.
Now, in the given graph, we are given 5 coordinates and the y values at each of these coordinates would represent the range of the graph. Thus;
Range = (-4, -1, 0, 1, 2)
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I am z years old, and my brother is 6 years younger than I am. How old will I be in 10 years? How old will my brother be in 10 years?
Answers
Answer:
In ten year you will be 10 years older than you are now and so will your brother. The 6 years difference will remain if no one dies.
Step-by-step explanation:
You are z years old
Your brother is 6 years younger than z years; z - 6 years
In 10 years time, you will be z + 10 years
Your brother will be z - 6 years + 10 years = z + 4 years
OR
In 10 years time, you will be z + 10 years
You brother is still 6 years younger than you, so is z + 10 years - 6 years = z + 4 years
What is 4/5 Times 10/16 in simplist form
Answers
Answer: 4/5 × 10/16 = 1/2
Step-by-step explanation:
Multiply the numerators and then multiply the denominators to get: 4/5 * 10/16 = 40/80
Simplify with the GCF (40): 40/80 / 40/40 = 1/2
And that's your simplified answer :)
After attending a major league baseball game, the patrons often purchase souvenirs. If a family purchases
4 t-shirts, a cap and 1 stuffed animal their total is $135. A couple buys 2 t-shirts, a cap and 3 stuffed animals
for their nieces and spends $115. Another couple buys 2 t-shirts, a cap and 1 stuffed animal and their total is
$85. What is the cost of each item?
Answers
The cost of a t-shirt is $25, the cap costs $20 and the stuffed animal costs $15
Let t-shirts be represented by x, the cap is represented by y and stuffed animals are represented by z
Items purchased by family:
4 t-shirts + 1 cap + 1 stuffed animal
The total cost of the items was = $135
Equation: 4x+y+z=135--------(1)
Items purchased by couple 1:
2 t-shirts + 1 cap + 3 stuffed animals
The total cost of the items was = $115
Equation: 2x+y+3z=115------(2)
Items purchased by couple 2:
2 t-shirts + 1 cap + 1 stuffed animals = $85
Equation: 2x+y+z=85------(3)
Subtracting equation (3) from (2) we get:
2z = 30
z = 15
Substituting the value of z=15 in equations (1) and (3) we get the following equations:
4x+y+15=135
4x+y=120------(4)
And, 2x+y+15=85
2x+y=70-------(5)
Multiplying equation (5) with 2 and subtracting equation (4) we get:
4x+2y=140
4x+y=120
y = 20
So, x = 25
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Zoie is painting a picture that is 15 by 27 inches. She plans to frame it in a frame x inches wide.
1) Write a polynomial that will be the area of the framed picture.
2) What will be the area of the picture with the frame if x=3?
Answers
The polynomial area of the framed picture is (27 + 2x) * (15 + 2x) and the value is 693 square units
What are areas?The area of a shape is the amount of space on the shape
For most regular quadrilaterals, you multiply the side lengths to determine the area
How to determine the area of the framed picture?The given parameters are
Width = 15
Length = 27
Also, we have
Length of the frame = x
This means that the area of the framed picture is
Area = (Length + 2 * Length of the frame) * (Width + 2 * Length of the frame)
Substitute the known values in the above equation
Area = (27 + 2x) * (15 + 2x)
The value of the area when x = 3In (a), we have
Area = (27 + 2x) * (15 + 2x)
When x = 3, we have
Area = (27 + 2 x 3) * (15 + 2 x 3)
Evaluate
Area = 693
Hence, the area is 693 square units
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a rectangular poster is 3 times as long as it is wide. it has an area of 27 square inches. what is the length and width of the poster
Answers
The dimensions of the rectangular poster are:
Width = 3 inches.
Length = 9 inches.
How to Find the Dimensions of a Rectangle?A rectangle usually has a long side called the length, and a shorter side called the width.
The area of the rectangle is calculated by multiplying the length and the width together. Therefore, formula for the area of a rectangle is:
Area = (length)(width).
The rectangular poster has the following parameters:
Let x represent the width of the rectangular poster.
Width of the rectangular poster = x
Length of the rectangular poster = 3x
Area of the rectangular poster = 27 in.².
Plug in the values
(x)(3x) = 27
3x² = 27
Divide both sides by 3
3x²/3 = 27/3 [division property of equality]
x² = 9
Take the square root of both sides
√x² = √9
x = 3
Width of the rectangular poster = x = 3 inches.
Length of the rectangular poster = 3x = 3(3) = 9 inches.
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Bill is 6 years older than Tom. Three years ago bulls age was four times toms age. Find the age of each boy now
Answers
Answer:
Tom is currently 5 and Bill is currently 11
Step-by-step explanation:
Let b = Bill's current age
Let t = Tom's current age
We have 2 unknowns so we need to equations to solve for this.
b = t + 6
(b-3) = 4(t-3) We have to subtract 3 from both Tom and Bill's current age
b- 3 = 4t - 12 Distribute the 4 and then substitute in t + 6 for b.
t + 6 -3 = 4t -12 Combine like terms
t + 3 = 4t -12 Subtract t from both sides of the equation
3 = 3t - 12 Add 12 to both sides of the equation
15 = 3t Divide both sides by 3
5 = t Tom is 5. Since Bill is 6 years old, her is 11.
Check:
11 = 5+ 6
Three years ago, Tom would have been 2 and Bill would have been 8. Bill is four times older than Tom. 2x4 = 8.
Solving systems of inequalities
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
y < 6x + 9 eq. 1
Step 02:
systems of inequalities
y > 6x + 7 eq. 1
<9
Graph
y = 6x + 9 eq. 2
Unlimited/Infinite solutions
The answer is:
(-4 , 32)
(3 , 25)
In May, Jacalyn opens a savings account with an initial balance of $200 and deposits about the same amount each month. write a linear equation in slope intercept form
Answers
The linear equation in slope intercept form is y = 200x + 200
where y represents the amount in the savings account of Jacalyn at the end of x months beginning from May.
In the slope intercept form, slope (the numerical coefficient of variable x) is having a numerical value of 200 and vertical intercept is the constant of term of the equation i.e. 200. The positive value of slope indicates that the gradient of straight line representing this linear equation is positive. Positive value of vertical intercept indicates that the linear equation's graph plot shall not pass through the origin but will intercept the y-axis at 200.
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The answer is in red, i just need someone to show me why/how
thankssss!!
Answers
Find the maturity value of a loan of $17104 after 4 months. The loan carries a simple interest rate of 12.5% peryear: Round to the nearest cent.O A. $17,639 50O B. $17.822.66OC. $17.816.67OD. $17.994.83
Answers
Answer: maturity value = $17816.67
Explanation:
The formula for calculating simple interest is expressed as
I = PRT
where
I is the interest
P is the principal or initial amount
R is the interest rate
T is the time in years
From the information given,
P = 17104
R = 12.5% = 12.5/100 = 0.125
We would convert 4 months to years. Recall
12 months = 1 year
4 months = 4/12 = 1/3
Thus, the interest is calculated as follows
I = 17104 x 0.125 x 1/3 = 712.67
maturity value = principal + interest
maturity value = 17104 + 712.67
maturity value = $17816.67
1. 2 million is ______
thousands.
Answers
2000000 = 1000x
x = 2000
Answer: 2 million is 2,000 thousands.
Step-by-step explanation:
2,000,000 = 2 million
1,000 = 1 thousand
2,000 thousands = 2 million
math problem uploaded
Answers
From the graph provided, it can be seen that:
There is a maximum at (6,1)
Therefore, the answer is the following:
The function has a relative maximum of 1 at x = 6
how do you factor 12b-30
Answers
The factored expression of the expression given as 12b - 30 is 6(2b - 5)
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to factor the expression by grouping?The expression is given as
12b - 30
Factor out the common factor from the expression
So, we have
12b - 30 = 3 * 4b - 3 * 10
Factor out 3 from the expression
So, we have
12b - 30 = 3(4b - 10)
Factor out 3 from the expression
So, we have
12b - 30 = 6(2b - 5)
The expression above cannot be further simplified
This means that the expression has been completely factored and cannot be further factored
Hence, the equivalent expression of the expression given as 12b - 30 when it is factored by grouping is 6(2b - 5)
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5/6x-5/12x-1/3+1/4x+1/12
Answers
(8x-3)/12
Step-by-step explanation:
Addition and what are operations you can use to join what
Answers
Answer: The correct answer is:
Addition and multiplication are operations you can use to join equal groups.
Step-by-step explanation: Confirmed correct.
Can someone please help meeeee, I have 2 hours remaining
Answers
The number of mosquitoes will be increased by 5 inches of rain.
Maximum mosquito population = 25000
solution :We are given the following in the question:
M(x) = 10x - x²
where M(x) denotes the number of mosquitos in millions and x denotes the amount of rainfall in inches.
To begin, we differentiate M(x) with respect to x, yielding
d(M(x)) /dx = d(10x - x²) /dx = 10 -2x
When we set the first derivative to zero, we get
d(M(x)) /dx = 0
10 - 2x = 0
x = 5
We get the same result when we differentiate M(x) with respect to x:
d²(M(x)) / dx² = -2
d²(M(x)) / dx² < 0
As a result of the double differentiation test, the maxima for M(x) occur at x = 5.
when the rainfall is 5 inches, the most mosquitoes are present.
Maximum mosquito population:
M(5) = 10(5) - (5)² = 25
As a result, the maximum number of mosquitos is 25000.
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