Answers
Answer:
All together:
D:(-∞,∞)
R:(-∞,2]
Individually:
D: (-∞,-2], (-2,∞)
R: (-∞,-2], y=2
Step-by-step explanation:
So the way I like to think about Domain and Range is that the Domain is the set of real numbers which can be put into a function and the Range is the set of real numbers which you can get out from a function.
Looking at your given function, it looks like the piece-wise parts are f(x)=x and f(x)=2. Neither one of the functions has domain restrictions (you can plug anything into the first and second without getting any mathematical errors [like a 0 in the denominator]). And since the graph shows arrows in each end, indicating infinite continuation of the curve, the Domain is (-∞,∞).
Now for the outputs of each function, we can see that you'll be getting any number out for the f(x)=x portion. But, the f(x)=2 portion will always give you 2 for any input. So the Range is (-∞,2).
Now I'm honestly not too sure what the HW is asking you to do with this info... for the first part, maybe they want the individual domain and range values for each piece of the piece-wise while the second part asks for the overall? You might know what it's asking better then me since it's your class.
I'll include the overall and individual answers above. Comment with any questions.
Related Questions
You invest $2000 in a bank account. Find the amount of simple interest you earn in two years for an annual interest rate of 5.5%. Use the formula for simple interest I = p · r · t, where I is the interest, p is the principal, r is the annual interest rate, and t is the time in years.
Answers
Answer:
$220 is the amount of simple interest you will earn
Step-by-step explanation:
I = p * r * t
Principle = $2000
Rate = 5.5% (you need to change this to a decimal by dividing by 100) or
0.055
Time = 2 years
I = 2000 * 0.055 * 2
I = $220
Match these non-parametric statistical tests with their parametric counterpart by putting the corresponding letter on the line.
_____ Friedman test
_____ Kruskal-Wallis H test
_____ Mann-Whitney U test
_____ Wilcoxon Signed-Ranks T test
A. Paired-sample t-test.
B. Independent-sample t-test.
C. One-way ANOVA, independent samples.
D. One-way ANOVA, repeated measures.
Answers
Answer:
A. Paired-sample t-test. --- Wilcoxon Signed-Ranks T testB. Independent-sample t-test. --- Mann-Whitney U testC. One-way ANOVA, independent samples. --- Kruskal-Wallis H testD. One-way ANOVA, repeated measures. --- Friedman testStep-by-step explanation:
The nonparametric statistics is a branch of statistics, that seeks out the population distribution that is either being distributed freely or specifically. Wilcoxon Signed-Ranks T-test is a hypothesis test used to compare the two or pre related columns that can be matched and maybe a repeated measure on a single sample.The Mann-Whitney U test is a null hypothesis and states the probability of a random sample of X and Y from the population is greater than the X and that Y is greater than X.Kruskal-Wallis H test is a test of one variance analysis and tests that sample originates from the same distribution.The Friedman test is used to find treatment across multiple tested attempts. It involves the ranking of the rows and then considering the values of the column.for each equation below, find y if x=3
Answers
b)y=7
c)y=2
Explanation:
In a particularclass of 22 students, 10 are men. What fraction of the students in the class are
women?
Answers
Answer: 6/11
Work Shown:
22 people total, 10 men, so 22-10 = 12 women are in the class.
12/22 = (2*6)/(2*11) = 6/11 is the fraction of women in the class
Answer:
I'm pretty sure the answer they want is 12/22 or 6/11 students are women although some people are not men or women which technically makes the question impossible to solve.
Is the square root of 0.49 rational
Answers
Answer:
rational
Best of luck!
my noob has 36 apples he puts 29 in a bag how much he has now
Answers
Answer: He has 7 at the moment, technically, if he still has the bag, he still has all 36
Step-by-step explanation:
Answer:
he has noob 7
Step-by-step explanation:
Solve the inequality 6t>t+6. Enter your answer as an inequality with just t on the left side. For example, if the inequality in the problem were true for all negative t, then you'd enter "t =3".
Answers
Answer: t > 6/5
In decimal form, this would be t > 1.2
==============================================
Work Shown:
6t > t+6
6t-t > t+6-t ...... subtracting t from both sides
5t > 6
5t/5 > 6/5 .... dividing both sides by 5
t > 6/5
t > 1.2
Order the following numbers from least to greatest
Answers
Answer:
Step-by-step explanation:
Change all numbers to their decimal form.
37.5 % = 37.5 / 100 = 0.375
1/3 = 0.3333
0.3 = 0.3
40% = 40/100 = 0.4
3/5 = 0.6
Order
0.3
0.33333
0.375
0.4
0.6
Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic. Equation: (x+2)^2+(y-2)^2+(z-3)^2 = 0
Answers
Answer:
[tex]\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]
Step-by-step explanation:
Given the center of sphere is: (-2, 2, 3)
Passes through the origin i.e. (0, 0, 0)
To find:
The equation of the sphere ?
Solution:
First of all, let us have a look at the equation of a sphere:
[tex](x-a)^2+(y-b)^2+(z-c)^2=r^2[/tex]
Where ([tex]x,y,z[/tex]) are the points on sphere.
[tex](a, b, c)[/tex] is the center of the sphere and
[tex]r[/tex] is the radius of the sphere.
Radius of the sphere is nothing but the distance between any point on the sphere and the center.
We are given both the points, so we can use distance formula to find the radius of the given sphere:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
Here,
[tex]x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3[/tex]
So, Radius is:
[tex]r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}[/tex]
Therefore the equation of the sphere is:
[tex](x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]
If x=.5, what is the numerical value of 20x ?
Answers
g^>JiGj+\1I1.G"yGLzn5Y^>&==o܋tǶgj<c_W#vioǾ|kZΧfyUwɻUʽ=އ
-3(x+n)=x To solve for x
Answers
Answer:
x = -3n/4
Step-by-step explanation:
Use the general slicing method to find the volume of the solid whose base is the triangle with vertices (0,0), (7,0), and (0,7) and whose cross sections perpendicular to the base and parallel to the y-axis are semicircles.
(need exact answer in terms of pi).
Answers
Answer:
The answer is "[tex]\bold{\frac{343 \ \pi}{24} \ \text{cubic units}}[/tex]"
Step-by-step explanation:
The volume of the mass whose cross-sectional area has been perpendicular is usually sliced by the method The cross-section, which is based to parallel to y-axis;
[tex]V = \int_{a}^{b} A (x)dx[/tex]
The semi-circular segment of the strong and seems to be perpendicular to foundation and
Y-axis parallel.
Its cross-section does have a diameter of: [tex](7-x)[/tex].
It also transverse radius is: [tex]\frac{1}{2}(7-x)[/tex].
The semi-circular segment area is,
[tex]Formula: \\\\ A(x)=\frac{1}{2} \times \pi \times r^2[/tex]
[tex]=\frac{1}{2} \times \pi \times (\frac{(7-x)}{2})^2\\\\=\frac{1}{2} \times \pi \times (\frac{(7-x)^2}{4})\\\\=\frac{1}{8}\pi(7-x)^2\\[/tex]
when
[tex]0 \leq \ x \ \leq 7[/tex]
Calculating the volume from the solid accordingly:
[tex]V= \int_{0}^{7}\frac{1}{8} \times\pi \times (7-x)^2 dx[/tex]
[tex]= \frac{1}{8} \pi \int_{0}^{7}(7-x)^2 dx \\\\= \frac{1}{8} \pi [\frac{(7-3)^3}{-3}]_{0}^{7}\\\\= \frac{\pi}{24} \times [7^3-0]\\\\= \frac{\pi}{24} \times 343\\\\= \frac{343 \pi}{24} \\[/tex]
What value of q makes the equation true? -8=32-5q
Answers
8
Explanation:
8 being the value of q would make the equation true as 32 - (5•8) = -8.
Steps:
32 - 5q = -8
-32 -32
————————
-5q = -40
/-5 /-5
————————
q = 8
ERROR ANALYSIS In Exercises 39 and 40, describe and
correct the error in solving the equation.
identical
shown.
one of th
39.
X
-0.8 + r= 12.6
r= 12.6 +(-0.8)
r= 11.8
40.
X
m
= -4
3•(-5= 3•(-4)
a. W
m= -12
on
b. Th
Answers
Answer:
39. r = 13.4
40. m = 12
Step-by-step explanation:
39. Given the equation, [tex] -0.8 + r = 12.6 [/tex], to solve for r, the following are the correct steps to take to arrive at the solution:
[tex] -0.8 + r = 12.6 [/tex] (given)
Add 0.8 to both sides of the equation (addition property of equality)
[tex] -0.8 + r + 0.8 = 12.6 + 0.8 [/tex] (this is where the error occurred.)
[tex] r = 13.4 [/tex]
40. The correct steps to take in solving the equation, [tex] -\frac{m}{3} = -4 [/tex] is as follows:
[tex] -\frac{m}{3} = -4 [/tex] (given)
Multiply both sides by 3 (multiplication property of equality)
[tex] 3*-\frac{m}{3} = 3*(-4) [/tex]
[tex] -m = -12 [/tex] (this is where the error occurred. This is what we should have at this line/step)
[tex] m = 12 [/tex] (dividing both sides by -1)
How many one-thirds are in one-sixth?
Answers
there are (1/6)/(1/3) one-third in one sixth
Step-by-step explanation:
that means
no. of one-third is 1/2
Answer:
there are 2 one third in one sixth
The length of a rectangle is twice the width. The area is 72 yd^2. Find the length and the width.
Answers
Answer:
The length is 12yd and the width is 6yd.
Step-by-step explanation:
line that is perpendicular to 3y=5x-1
Answers
Answer:
Step-by-step explanation:
3y = 5x - 1
y = 5/3x - 1/3
perpendicular slope is -3/5
In a shopping mall, 5/8 of the shoppers were female shoppers at first. A short
while later, 56 more female shoppers and 24 more male shoppers entered the
shopping mall. As a result, there were 100 more female shoppers than male
shoppers. How many shoppers were there in the shopping mall altogether
in the end?
Answers
Answer:
104
Step-by-step explanation:
5/8x. - - - - - - - >. 3/8x
56+x---------------> 24+x
Then solve for x
How much discount is received on an item with a marked price of Rs 500 if the discount rate is 3%? * Rs 50 Rs 15 Rs 25 Rs 5
Answers
Answer:
Rs.15
Step-by-step explanation:
3% = 3/100 × 500 = 15
I need help with 25. 26. And 27 plz I don’t know how
Answers
Answer:
25. 8ft
26. 3m
27. 7cm
Step-by-step explanation:
Because it says each is an area of a sqare the square root will give you the side length
Determine whether the set of all linear combinations of the following set of vector in R^3 is a line or a plane or all of R^3.a. {(-2,5,-3), (6, -15,9),(-10, 25, -15)} b. {(1,2,0), (1,1,1),(4,5,3)} c. {(0,0,3), (0,1,2), (1,1,0)}
Answers
Answer:
a. Line
b. Plane
c. All of R^3
Step-by-step explanation:
In order to answer this question, we need to study the linear independence between the vectors :
1 - A set of three linearly independent vectors in R^3 generates R^3.
2 - A set of two linearly independent vectors in R^3 generates a plane.
3 - A set of one vector in R^3 generates a line.
The next step to answer this question is to analyze the independence between the vectors of each set. We can do this by putting the vectors into the row of a R^(3x3) matrix. Then, by working out with the matrix we will find how many linearly independent vectors the set has :
a. Let's put the vectors into the rows of a matrix :
[tex]\left[\begin{array}{ccc}-2&5&-3\\6&-15&9\\-10&25&-15\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}-2&5&-3\\0&0&0\\0&0&0\end{array}\right][/tex]
We find that the second vector is a linear combination from the first and the third one (in fact, the second vector is the first vector multiply by -3).
We also find that the third vector is a linear combination from the first and the second one (in fact, the third vector is the first vector multiply by 5).
At the end, we only have one vector in R^3 ⇒ The set of all linear combinations of the set a. is a line in R^3.
b. Again, let's put the vectors into the rows of a matrix :
[tex]\left[\begin{array}{ccc}1&2&0\\1&1&1\\4&5&3\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}1&1&1\\0&1&-1\\0&0&0\end{array}\right][/tex]
We find that there are only two linearly independent vectors in the set so the set of all linear combinations of the set b. is a plane (in fact, the third vector is equivalent to the first vector plus three times the second vector).
c. Finally :
[tex]\left[\begin{array}{ccc}0&0&3\\0&1&2\\1&1&0\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}1&1&0\\0&1&2\\0&0&3\end{array}\right][/tex]
The set is linearly independent so the set of all linear combination of the set c. is all of R^3.
on Tuesday, the Soto salad restaurant served 6 1/2 cups of Italian salad dressing. if the restaurant serves 1/2 cups of dressing with each salad, how many salads where ordered?
Answers
Answer:
11
Step-by-step explanation:
The percentage of first year college males who will claim no religious affiliation in 2030 is approximately ___%
Answers
Answer:
34.5%
Step-by-step explanation:
If we assume the relationship is approximately linear with time, we can use technology to draw a line of best fit through the given data. Extrapolating to the year 2030 predicts the value to be 34.5%.
In 2030, we might expect about 34.5% of male first-year college students to claim no religious affiliation.
_____
Additional comment
When it comes to religion, many factors are in play. The assumption we have made has no justification whatever, except that it provides a method for answering the question. (It also predicts the percentage to be 0 in 1963, which we believe to be unrealistic.) An exponential fit is better (r^2 = 0.97), and it predicts about 46.0%.
Geometry. Answer the question in the photo.
Answers
Answer:
5
Step-by-step explanation:
Since, A, B, C, D are collinear.
[tex] \implies A - B - C - D \\
\therefore \: AD = (AB + BC) + CD \\ \therefore \: 18 = AC + CD.. (\because AB + BC =AC) \\ \therefore \: 18 = 8 + CD \\ \therefore \: 18 - 8 = CD \\ \therefore \: 10 = CD \\ \\ \because \: BC + CD = BD \\ BC = BD - CD \\ BC = 15 - 10 \\ BC = 5 \\ [/tex]
There are 18 men on 2 baseball teams. 2/3 of them brought their sons to watch them play. How many brought their son?
Answers
reasoning:
2/3 of 18 is 12
PLZ HELP ASPPP PLZ WILL GIVE YOU BRAINLIST
Answers
Answer:
x=(-9)
PQ=2
PR=3
Step-by-step explanation:
what is 765,903 rounded to nearest hundred thousand
Answers
Answer:
800,000
Step-by-step explanation:
The numbers are above 5 making it round up not down
1.1.22
Solve the equation.
17 + 28 = – 5(4x – 9)
Answers
Answer:
No Solution
Step-by-step explanation:
Step 1:
17 + 28 = - 5 ( 4x - 9 )
Step 2:
45 = - 20x + 45
Step 3:
- 20x = 0
Answer:
No Solution
Hope This Helps :)
Solve the equation.
5x + 8 - 3x = -10
x = -9
X = -1
x = 1
X = 9
Cand
Answers
Its the Right Answer on the Test. Hopes This Helps.
Thank You
List several figures other than rectangles that tessellate the plane using translations
Answers
Answer:
A
Step-by-step explanation: