Answers
Answer:
First one :
Function? Yes
Domain : { -1 , -2 , -3 }
Range { 10 , 13 , 16 }
Second one:
Function? No
Domain : { 2 , 3 }
Range : { 10 , 13 , 16 }
Third one :
Function ? No
Domain : { 33 , 35 , 36 }
Range : { 8 , 10 }
Step-by-step explanation:
A function is a relation where each input has its own output. In other words a function is a relation where each x value has its own y value. If an x value repeats the relation is not a function.
The domain is the set of x values in a relation whereas the range is the set of y values in a relation
For the first one. No x value repeats, each input has its own output therefore this is a function.
Domain : { -1 , -2 , -3 }
Range { 10 , 13 , 16 }
The second one : The x value 2 repeats therefore the relation is not a function.
Domain : { 2 , 3 }
Range : { 10 , 13 , 16 }
The third one : Each x value has its own y value therefore this relation is a function. ( Note that y values are allowed to repeat )
Domain : { 33 , 35 , 36 }
Range : { 8 , 10 }
Related Questions
, find the value of
[tex] {x}^{2} + \frac{1}{ {x}^{2} } [/tex]
Answers
[tex]x^2 + \dfrac 1{x^2} = \dfrac{x^4 +1}{x^2}[/tex]
Can someone solve this/give me an answer choice??ASAP if possible
Answers
Answer:
Step-by-step explanation:
C is right.
5(a + b + c + d)
when you express it it's gonna be 5a + 5b + 5c + 5d
Calculate the measure of the arc PQ.
Answers
Answer:
arc PQ = 124°
Step-by-step explanation:
The inscribed angle PRQ is half the measure of its intercepted arc PQ, so
arc PQ = 2 × 62° = 124°
Answer:
124°
Step-by-step explanation:
Inscribed angle PRQ is half the measure of intercepted arc PQ.
1/2(PQ) = 62°
PQ = 124° . . . . . . multiply by 2
graph h(x)=x^4-3x^2+x. identity the x intercepts and the points where the local maximum and local minimum occur. determine the intervals for which the function is increasing or decreasing.Round to the nearest hundredth if necessary
Answers
I hope this helps you. Give a like
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
h(x) = [tex]x^4[/tex] - 3x² + x
The x-intercept is when h(x) = 0.
0 = [tex]x^4[/tex] - 3x² + x
From the graph, we see that,
The x-intercept are at x = 0, x = -1.9, x = 0.35, and x = 1.5
Now,
h(x) = [tex]x^4[/tex] - 3x² + x
h'(x) = 4x³ - 6x
h''(x) = 12x² - 6 (positive)
So,
h(x) has a minimum value.
h'(x) = 0
4x³ - 6x = 0
4x³ = 6x
4x² = 6
x² = 6/4
x² = 3/2
x² = 1.5
x = ±√1.5
x = ±1.22
The minimum values are:
h(1.22) = [tex]x^4[/tex] - 3x² + x = -1
h(-1.22) = [tex]x^4[/tex] - 3x² + x = 1
The local minimum is 1.
From the graph, we see that,
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
Thus,
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
Increasing intervals are (-1.5, 0.5) and (1, ∞).
Decreasing intervals are (∞, -1) and (0, 1.5).
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ5
in this lesson several postulates will help establish a way to draw angles
Answers
Answer:
make 90°angle with the help of compase
Suppose you were given this table. Select all of the true statements.
x y
6 3
12 6
18 9
24 12
The ratio of x to y is the slope.
The ratio of y to x is the slope.
The equation of the graph is y = 2x.
The equation of the graph is y = 12
1\2x
Answers
Answer:
The ratio of y to x is the slope
The equation of the graph is y = 1/2x
Step-by-step explanation:
In this scenario, we see that 1/2 of x always equals y, so the y-intercept is 0. This means that the slope is equal to 1/2, and that is the ratio of y to x.
Kylie Jenner's gym membership
costs $150 to sign up and
then charges $3 for each visit.
Kanye West's gym membership costs $130
to sign up and
then charges $5 for each visit.
At how many visits
will they have spent
the same amount of money?
Answers
Answer:
The answer to this is 10 visits.
Step-by-step explanation: For this algebra, take a guess at first, and then you should be able to find an answer from there. All you have to do mathematically, is calculate (using the two starting values), when the prices are the same. For this, the equation would look something like: 5x + 130 and 3x + 150. X represents the unknown number of visits. When x is = 10, the prices are the same, 180 = 180. Edit: Another way you can do this, is graph a line of the two equations, and see what point they intercept. The X value of the point usually is the number of times something occurs until the price is the same, whereas the y value of the point is usually the price.
I need help showing work
Answers
Answer:
yawa ka ah diyan module tae yan hahaha
don't know sorry mate
Are the ratios 12:6 and 2:1 equivalent?
Answers
Answer:
no
Step-by-step explanation:
https://brainly.com/question/18232055
Answer:
Yes!
Step-by-step explanation:
Here, ratios can be rewritten by fractions.
12:6 is [tex]\frac{12}{6}[/tex] which equals to 2,
2:1 is also [tex]\frac{2}{1}[/tex] which is 2.
To get 12 from 2, you multiply by 6.
Multiply the same thing to the denominator(1), and you get 6. So:
12:6 = 2:1
PLEASEEEE HELPPPPPP ASAPPPPP
Answers
Answer:
7.07
Step-by-step explanation:
Angle M is 63 degrees because all 3 angles must add to 180.
Now use the law of sines:
sin(90)/x = sin(63)/6.3
Cross multiply: 6.3 sin (90) = x sin (63)
Divide by sides by sin (63): (6.3 sin (90))/sin (63) = x
Use a calculator: 7.07
Rectangle has length 8.1 and perimeter 28.5 find the width
Answers
Answer:
6.15
Step-by-step explanation:
perimeter of a rectangle= 2(Length + width)
perimeter=28.5
length=8.1
28.5=2(8.1+ Width)
28.5=16.2+ 2(Width)
28.5-16.2=2(Width)
12.3=2(Width)
12.3/2=Width
6.15=Width
On average, a squirrel lives to be 6.5 years old. The lifespan of a squirrel may
vary by as much as 1.5 years. What is the range of ages that a squirrel lives?
Answers
Answer:
5-8
Step-by-step explanation:
6.5-1.5 = 5
6.5+1.5= 8
Thegreergreertteraloargaaramaits 1>-25-31 >:-2 * 2 A 221 OD. 2.2 O O
Answers
Answer:
A
Step-by-step explanation:
Find the area of the parallelogram.
48 square m
20 square m
30 square m
40 square m
Answers
A recent study revealed the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in cups, yesterday.
3.1, 3.3 ,3.5 ,2.6, 2.6, 4.3, 4.4 ,3.8 ,3.1 ,4.1 ,3.1, 3.2
(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 1 decimal place.)
(b) State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
(c) Compute the value of the test statistic. (Round your answer to 3 decimal places.)
(d) Do these sample data suggest there is a difference between the national average and the sample mean of the senior citizens?
Answers
Using the t-distribution, it is found that:
a)
The null hypothesis is [tex]H_0: \mu = 3.1[/tex]
The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]
b)
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.c) t = 1.853
d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
Item a:
At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:
[tex]H_0: \mu = 3.1[/tex]
At the alternative hypothesis, it is tested if the estimate is not correct, that is:
[tex]H_1: \mu \neq 3.1[/tex]
Item b:
This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05, hence, the critical value is [tex]t^{\ast} = 2.2[/tex].
Then, the decision rule is:
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.Item c:
We can find the standard deviation for the sample, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]
[tex]t = 1.853[/tex]
Item d:
Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
A similar problem is given at https://brainly.com/question/24826023
wich is greater 45%, 1/2, 0.55
Answers
Answer:
0.55
Step-by-step explanation:
45/100 = 0.45
1/2 = 0.50
Answer:
0.55 is the biggest
Step-by-step explanation:
45% can be converted to 0.45
1/2 is the same as 50%, so in decimal form, it is 0.50 (although no matter how many 0s you put at the end, it will still be the same, so this could effectively be 0.5.)
0.55 is already done for you, so there is nothing to do here.
Therefore, the biggest is 0.55
A line passes through (3, 7) and (6, 9). Which equation best represents the line? (4 points) y = 3 over 2 x + 5 y = 2 over 3 x + 5 y = 3x + 2 y = 2 over 3 x + 2
Answers
Given two points, the equation of the line may be determined by,
y - y1 = ((y2 - y1) / (x2 - x1))(x - x1)
Substituting the given values,
y - 7 = ((9 - 7) / (6 - 3))(x - 3)
Simplification will yield to an answer of,
y = 2x/3 +5
Therefore, the answer is the second choice.
Complete the problems below. Be sure to show your work! 11. A movie is being shown on television. The movie is scheduled for a 150 minute time lot and will include some commercial breaks. The number of commercial breaks can be determined by the equation 6x + 114 = 150, where x represents the number of commercial breaks.
A. Identify the meaning of the coefficient and the constant in the context of this situation.
B. Solve to find the number of commercial breaks.
C. Graph the solution.
Answers
Answer:
b
Step-by-step explanation:
can anyone please help
Answers
Answer:
Adult tickets = $73.5
Child tickets = $20.5
Step-by-step explanation:
[tex]{ \rm{3x + 5y = 50 - - - \{eqn \: 1 \}}} \\ { \rm{x + 5y = 31 - - - \{eqn \: 2 \}}} \\ [/tex]
• Subtract eqn 2 from eqn 1:
[tex]{ \rm{2x = 21}} \\ { \rm{x = 10.5}}[/tex]
[tex]{ \rm{10.5 + 5y = 31}} \\ { \rm{5y = 20.5}} \\ { \rm{y = 4.1}}[/tex]
Negative 12 - negative 50
Answers
Answer:
38
Step-by-step explanation:
if you're asking what (-12)-(-50) is the answer is 38 simple method to remember is KCF or KFC same thing just worded differently but it means keep change flip! hope that helped have a great day!!
-9/12-(-1/3) A 8/9. B. -8/9. C 5/12 D -5/12
Answers
Answer:
-5/12/ D
Step-by-step explanation:
-9/12 -(-1/3)
turn 1/3 into a fraction with a similar denominator
-9/12-(-4/12)
-(- = addition (+)
-9+4= -5
-5/12
Given the function {f(x)=32-x}^{2}f(x)=32−x 2 , what is f(-5)f(−5)?
Answers
Step-by-step explanation:
the description is very difficult to understand with special characters and potential typing errors.
I suspect the definition is
function(x) = 32 - x²
function(-5)function(-5) is then very easily calculated.
we need to calculate function(-5) and then square the result, as function(-5)function(-5) is just a simple multiplication of the function results.
function(-5) = 32 - (-5)² = 32 - 25 = 7
so,
function(-5)function(-5) = 7 × 7 = 49
The slope of the line that passes through the points ( 2 , 3 ) a n d ( 5 , 9 ) is?
Answers
Show all work pls ty (:
Answers
A. Decide whether the given examples illustrate a constant or a variable.
1. Number of family members in each house
2. Amount of money in the bank every month
3. Number of seconds in a minute
4. Weekly expenses of groceries
5. Number of years in a millennium.
Asynchronous task on introduction to algebraic expressions
B. Make your own algebraic expressions based on the given conditions.
1. A variable
2. A combination of any number and any variable related by exponentiation.
3. A combination of any two variables related by subtraction.
4. A combination of any number and any three variables related by multiplication.
pls answer and help me..
Answers
Answer:
a constant is a data item whose value cannot change during the program execution just as its name implies that the value is constant a variable is a data item whose value can change during the program's execution . Thus as its name implies the the value can vary
what is the slope of the line perpendicular to AB if A(-1,10) and B(5,-2)
Answers
The slope of the line that is perpendicular to line AB is: 1/2.
Recall:
If line A has a slope of "-a" and it is perpendicular to line B, therefore, the slope of line B will be the negative reciprocal of line A which is 1/a.Slope (m) = change in y / change in x = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Given:
A(-1,10)
B(5,-2)
Slope of AB:
[tex]m = \frac{-2 - 10}{5 -(-1)} = \frac{-12}{6} \\\\\mathbf{m = -2}[/tex]
The slope of the line that is perpendicular to line AB will be the negative reciprocal of the slope of AB.
Therefore, the slope of the line perpendicular to AB is: 1/2.
Learn more about slope of a line perpendicular to a line on:
https://brainly.com/question/17990826
Sara is saving up to purchase a small T.V.
She has saved $80, which is 64% of the total
cost of the television. How much does the
television cost?
Answers
Answer:
You got this just keep trying
Step-by-step explanation:
Answer:
It might be 80
Step-by-step explanation:
first you put 64% and $80 as a fraction. 64%/$80. Then next to the fraction, you put x/100. Then you cross multiply. 64 times 100 is 6400. 6400 divided by 80 is 80. Therefore, the answer is 80. Hope this helps!
(-5,-2),(-7,r) if m=5/9 what is r? slope
Answers
Answer:
r = -28/9
Step-by-step explanation:
use slope formula of (y₂-y₁) / (x₂-x₁)
5/9 = [r - (-2)] / [-7 - (-5)]
5/9 = (r+2) /-2
cross-multiply to get:
-2(5) = 9(r+2)
-10 = 9r + 18
-28 = 9r
r = -28/9
i need help with this!!
Answers
Answer:
8x-4<-36+4
8x<-32
----
8
x<-4
Answer:x<-4
Step-by-step explanation:
you would have to show your work and do it step by step and and dont stress about it
Maria's test scores for this semester were: 84, 80, 93, 74, 67, 99, 87, 72, 95, & 98. What is the mean of her test scores (rounded to the nearest whole
percent)?
Answers
Answer:
85%
Step-by-step explanation:
Add all the numbers together which gives 849. Divide 849 by 10 because there are ten numbers. This gives 84.9. Round it up to 85%