Determine whether the graph represents a function . If it does represent a function , give its domain and range.
#18,20,24,30
PlEASE GUYS HELP ME OUT!!!!
Answers
Answer:
A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)
Such that each element in the domain can be mapped into only one element from the range.
Let's see graphs 18, 20,24 and 30.
Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)
18) Here we can see that the point x = 1 his mapped into two different values of y.
we have the pair (1, 2) and the pair (1, -3)
And something similar happens for x = 2.
Then we can conclude that this is not a function.
20) Here we have a linear relationship.
Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.
Linear equations can be written as:
y = a*x + b
So x can be any value, and thus y also can be any value.
Then the domain is the set of all real numbers, and the range is the set of all real numbers.
24) Here we have a quadratic function whose arms go down.
This is a function, now let's see the domain and range.
Quadratic functions are written as:
y = a*x^2 + b*x + c
There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.
Now, let's look at the graph.
We can see that the function goes up, reaches a maximum, and then goes down again.
Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:
y ∈ (-∞, 15]
or simply:
y ≤ 15.
30) Here again, we can see that for x = 0 there are two different values of y.
the same happens for x = -1, x = -2, and a lot of other values.
Then this is not a function, because it is mapping values of the domain into different values of the range.
Related Questions
pls help 100 points helphelp
Answers
Answer:
Some kind of evadence
Step-by-step explanation:
Answer:
Im pretty sure it would be C.
Step-by-step explanation:
Sine a signature, photograph and quotes are all pieces of evidence, you can rule them out and infer that c would be the most reliable answer.
Which graph shows u + v for the given vectors u and v?
Answers
Answer:
The answer is A
Step-by-step explanation:
When you move v's tail to u's head, you see that the vectors align up.
The graph shows (u + v) for the given vectors u and v will be Graph A.
What is vector ?A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.
We have,
Four graphs and we have to tell which is the correct graph for (u + v).
So,
To add two vectors, add the corresponding components.
i.e. The sum of u and v vector = ( u₁ + v₁, u₂ + v₂)
i.e.
Let u = (u₁, u₂) and
v = (v₁, v₂)
Now,
(u + v) = ( u₁ + v₁, u₂ + v₂)
So,
From Graph A,
We have,
u = (1, 4) and v = (2, -2)
i.e.
u₁ = 1,
u₂ = 4,
v₁ = 2,
v₂ = -2
So,
Using the addition method of vector,
i.e.
(u + v) = ( u₁ + v₁, u₂ + v₂)
Substituting values,
(u + v) = [( 1 + 2), (4 + (-2))]
We get,
(u + v) = (3, 2)
So,
The graph A represents the correct points of (u +v).
Hence, we can say that the graph shows (u + v) for the given vectors u and v will be Graph A.
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please help with question
Answers
Answer:
70
Step-by-step explanation:
180 - (90) - (20)
90 - 20
70
Help
Please ..................
Answers
8(-11) + 2.
-86
Answer:
-86
Step-by-step explanation:
Substitute -11 for x in the equation:
8(-11)+2
=-88+2
=-86
find the area of given figure
Answers
Answer:
hope it helped have a good day mate
(GIVING BRAINLIYEST)
8. what is the volume of these 5 objects
Answers
a= 224in^3
b= 240in^3
2. 144ft^3
3. 135in^3
4. l=4
w= 3
h=3
A= 36in³
The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL? Triangle L N P. Side L N is 12, N M is 10, M L is 14. Triangle P R Q. Side P R is 28, R Q is 24, Q P is 20. RQ PQ PR LM
Answers
Answer:
The side on triangle PQR that corresponds to side LN in triangle MNL is side QR.
Step-by-step explanation:
Triangle PQR is a dilated version of triangle LMN, specifically a dilation of 2, since LN = 12, the corresponding side to it on triangle PQR is side QR because it is twice as big as side LN, which is the dilation value for converting triangle LMN to triangle PQR.
The side of triangle PQR corresponds to side LN in triangle MNL will be QR.
What are similar triangles?Similar triangle are those which have two pairs of interior corresponding angles are equal or two pairs of corresponding sides are in proportion.
We have,
Two triangles as shown in the given figure,
Now,
Using triangle similarity rule,
i.e.
Sides are in equal proportion,
i.e.
[tex]\frac{LM}{PR} =\frac{MN}{PQ} =\frac{LN}{QR}[/tex]
So,
Put values of sides ,
[tex]\frac{14}{28} =\frac{10}{20} =\frac{12}{24}[/tex]
i.e.
[tex]\frac{1}{2} =\frac{1}{2} =\frac{1}{2}[/tex]
So,
All sides in proportion according to the question,
Now,
The side which is in proportion to side LN is QR.
Hence, we can say that the side of triangle PQR corresponds to side LN in triangle MNL will be QR.
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Write the multiplicative identity using 9.
Answers
Answer:
3*3
Step-by-step explanation:
hope it helps you
thank you
Find the perimeter P of
JKLM
with vertices J(-3,-2),K(-5,-5),L(1.-5),M(3.-2) Round your answer to the nearest tenth
Answers
Is this a proportion? 1.44/8 = 1.7/10
Answers
Answer:
No
Step-by-step explanation:
Because the equation needs to have a variable
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 391 drivers and find that 319 claim to always buckle up. Construct a 85% confidence interval for the population proportion that claim to always buckle up.
Answers
Answer:
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
They randomly survey 391 drivers and find that 319 claim to always buckle up.
This means that [tex]n = 391, \pi = \frac{319}{391} = 0.8159[/tex]
85% confidence level
So [tex]\alpha = 0.15[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.15}{2} = 0.925[/tex], so [tex]Z = 1.44[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 - 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.7877[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 + 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.8441[/tex]
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
1. Socks are on sale at 10% discount. What is the sale price of a pair of socks originally
marked #125.00?
Answers
Answer:
10/100 = x/125
1250 = 100x
1250/100 = 100x/100
12.5 = x
125 - 12.5 = 112.5
the sale price is $112.5
I need help on this and pls I actually do so dont put wrong answers or that you need points pls dont :)
Answers
Answer:
Equation: 120=66+2m
Step-by-step explanation:
120=66+2m
120-66=54
54/2=27
m=27
2. Izza walked 5 steps forward, 8 steps backward, 9 steps forward and 3 steps backward. How
many steps is Izza from where she started?
3. Samuel was at the ground floor when he decided to go to the fourth floor. He then went down 2
or and went up 7 more floors. Where is he now?
On a winter night the temperature dropped f.rom -6°C to -15°C. How many degrees did the
Tamperature drop?
Answers
Answer:
Izza walked 3 steps forward
samuel is on the 9th floor
-9 degrees
Step-by-step explanation:
Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities:
Europe Good Europe Bad
Asia Good 0.55 0.15
Asia Bad 0.20 0.10
That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth.
You have four possible courses of action:
• Introduce the product simultaneously in Europe and Asia.
• Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later.
• Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later.
• Abandon the product.
The NPV's of the various scenarios are as follows, in millions of US dollas
Immediate Introduction After one year
Good Bad Good Bad
Asia 120 -205 +117 -205
Europe +105 -200 +102 -200
For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.
Answers
Solution :
1. [tex]$P(\text{ good sales in Asia }) = 0.55+0.15$[/tex]
= 0.7
2. [tex]$P(\text{ good sales in Europe }) = 0.55+0.20$[/tex]
= 0.75
3. [tex]$\text{P(good sales in Asia }| \text{ good sales in Europe}) $[/tex][tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$[/tex]
[tex]$=\frac{0.55}{0.75}$[/tex]
[tex]$=\frac{11}{15}$[/tex]
4. [tex]$\text{P(good sales in Asia }| \text{ bad sales in Europe}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$[/tex]
[tex]$=\frac{0.15}{0.25}$[/tex]
[tex]$=0.6$[/tex]
5. [tex]$\text{P(good sales in Europe }| \text{ good sales in Asia}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$[/tex]
[tex]$=\frac{0.55}{0.7}$[/tex]
[tex]$=\frac{11}{14}$[/tex]
6. [tex]$\text{P(good sales in Europe }| \text{ bad sales in Asia}) $[/tex]
[tex]$=\frac{0.2}{0.3}$[/tex]
[tex]$=\frac{2}{3}$[/tex]
The spinner is divided into 4 equal parts: yellow (Y), green, (G), blue (B) and red (R). Dorian says that if you spin the spinner twice, then there are exactly 12 possible outcomes. he lists the outcomes in a table. Which statement explains Dorian’s mistake?
Answers
Answer:
The spinner can land on the same color twice in a row, so there should be 16 possible outcomes
Step-by-step explanation:
4 possible outcomes with the same color
RR, OO, GG and BB.
Total Ways = 12+4=16
Evaluate each expression using the value w=4, a=2, and h=5
Equation is:
6w+2a
Answers
Answer:
6w + 2a = 28
Step-by-step explanation:
the expression given, 6w + 2a, contains no variable h, so it's best to just ignore that h = 5.
first, plug in the values for w and a. you can do this in whatever order you want, but i'll start with w for this example.
plug in 4 for w.
6w + 2a
6(4) + 2a
now plug in 2 for a.
6(4) + 2a
6(4) + 2(2)
after plugging in the values, your expression is 6(4) + 2(2).
all that's left is to simplify. again, this can be done in whatever order you prefer, but i'm going to start with 6(4).
6(4) + 2(2)
24 + 2(2)
continue simplifying by multiplying 2(2).
24 + 2(2)
24 + 4
now add 24 + 4.
24 + 4 = 28
so, when w = 4 and a = 2, 6w + 2a = 28.
you can check the answer by plugging those values for a and w back into the completed equation.
6w + 2a = 28
6(4) + 2(2) = 28
24 + 4 = 28
28 = 28
since both sides of the equation are equal, that means that your answer of 28 is correct! :)
i hope this helps! have a great day <3
emeril is building a cutting board for his home kitchen.He wants it to be similar in size to the cutting board at gis restaurant.His restaurant cutting board is 36 inches wide by 21 inches long .He has enough space on his home counter for a board that is 24 inches wide.How long will his home cutting board be?
Answers
Answer:
14 inches
Step-by-step explanation:
I say 14 inches because width for the board at the restaurant is 36 (3×12) and the length is (3×7) so if the width for the board at home is 24 ( 2×12) then the length must be 14 ( 2×7). See what I did?
His home cutting board will be 14 inches long.
Since Emeril is building a cutting board for his home kitchen, and he wants it to be similar in size to the cutting board at gis restaurant, which is 36 inches wide by 21 inches long, and he has enough space on his home counter for a board that is 24 inches wide, to determine how long will his home cutting board be the following cross multiplication calculation must be performed:
36 = 24 21 = X (21 x 24) / 36 = X 14 = X
Therefore, his home cutting board will be 14 inches long.
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Beth’s brother is 140% of Beth’s height. If Beth’s brother measures 140cm, how tall is Beth?
Answers
Answer:
100 cm
Step-by-step explanation:
let x be the height of Beth
and y be the height of Beth's Brother
By 1st Condition
y = 140% * x
y = (140/100) * x
y = 1.4 x ..........................(Eq 1)
By 2nd Condition
y = 140
Put the value of y in the equation 1
140 = 1.4 *x
x = 140 / 1.4
x = 100 cm
1. 25% of 300
2. 20% of what number is 50?
3. What percent of 120 is 40?
4. If 20% of 60 is 12. Which represent the percentage?
5. Which represent the base?
Answers
Answer:
rawrrrrrr
Step-by-step explanation:
rawrrrrrrrrrrrrrrrr
2. 250
3. 33.33
4. 20% I think?
5. I’m not sure
What is the probability of drawing an even numbered card keeping it then drawing another even numbered card from a stack of 24 card numbered 1-24
Answers
Answer: I think
Step-by-step explanation:
1/12
las alturas medidas en centimetros de 15 niños de una primaria fueron las siguientes 145,135,150,144,137,152,139,146,140,149,148,135,143,151,135¿cual es el promedio,mediana y moda?
Answers
Answer:
145
Step-by-step explanation:
145 135 123 134 456 teukr68l67ewi6e5iu
A pair of cleats and a pair of crocs is $200 the difference in the cost is $55 determine the cost of each type of footwear
Answers
(X-55)crocs
X +(x-55) = 200
2x=255
X=127.50
127.50-55= 72.5
So one is 127.50 and the other is 72.50
(I’m guessing in the problem it says which one is cheaper) therefore you know what answer correlates with the crocs and cleats
Chau bought 28 pounds of flour for $12.
How many dollars did he pay per pound of flour?
Answers
Answer:
Step-by-step explanation: 28 divided by 12 = $2.33 per pound of flour.
What is the value of the expression below?
13 - (-9)
Answers
13 - 9 = 4
Which figure is a pyramid? A cone. B cylinder. C rectangular prism. D pyramid.
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
48/96 in its simplest form
Answers
Answer:
1/2
Step-by-step explanation:
just divide it I guess
1/2
48/2
=24/2
=12/2
=6/2
=3
Hope this helps :D
..
There is a 15% off sale on a
PlayStation 5. If the original
cost is $700, what is the
sale price of the
PlayStation?
Answers
Answer:
$595
Step-by-step explanation:
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.0 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 13 samples is 5.6 ppm with a variance of 0.49. Assume the population is normally distributed. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to three decimal places.
Answers
Answer:
Test statistic | t| = |-2.0607| = 2.0607
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 6.0 parts / million
The mean of sample x⁻ = 5.6ppm
The variance of the sample = 0.49
The standard deviation of the sample (s) = √0.49 = 0.7
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.6 - 6.0}{\frac{0.7}{\sqrt{13} } }[/tex]
t = -2.0607
Final answer:-
Test statistic | t| = |-2.0607| = 2.0607
Which of these are prime numbers? Circle all that apply.
5 7 12 8 11 2 20 45
Answers
Answer:
2, 5, 7, 11
Step-by-step explanation: