Refer to the diagram to findA) the domain of the relation B) the range of the relation C) is the relation a function?D) is the relation a one to one function?
Answers
Part A.
The domain refers tp the set of poosible input values. TIn a graph, it consists of all the input values shown on the horizontal axis or x-axis. That is,
\(x\in(-\infty,\infty)\)because the arrows denote that the horizontal lines continue to the left and right, respectively. Therefore, the domain is:
\(x\in(-\infty,\infty)\)Part B.
The range is the set of possible output values and it is represented on the vertical axis or y-axis.
Since the horizontal lines continue to the left and right, the range goes from -2 to 2. Then, the range is:
\(y\in(-2,2)\)Part C.
In this case, we can use the vertical line test. This test consist in draw any vertical line. If the vertical line intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value. Then, we have
As we can nothe any vertical line touches the graph only once. Then, the given graphs represents a function.
Part D.
In a one-to-one function each element of the domain is mapped with a unique element of the range. In our case, we can see that in the horizontal parts of the graph, there are many values of x which are mapped to the same y-value, for instance,
As we can note x=1, x=2, x=3 and so on are mapped to y=2. This means that the function is many-to-one. Therefore, the relation is not a one-to-one function.
Related Questions
(20 POINTS)Please need help begging ya!!!!
Answers
Answer:
3:5
Step-by-step explanation:
If we count the amount of At symbols, there are 6. The amount of all the symbols combined is 10, meaning there is a ratio of 6:10 for At symbols to all symbols. 6:10 can be simplified, however, by dividing by two.
6 ÷ 2 = 3
10 ÷ 2 = 5
The simplified ratio is 3:5.
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The builder recommends to Siya that he buys 10% more tiles than required in case of breakages. the tiles he likes are R234 for a box of 6 tiles. How much will Siya spend on tiles?
Answers
The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.
First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."
Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:
110% of T = 1.1 x T
Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:
Number of boxes = (1.1 x T) / 6
Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:
Total cost = (1.1 x T / 6) x R234
Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.
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Complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and a compounded n times a year. Complete the table
Answers
The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.
To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.
The formula for calculating compound interest is as follows:
A = P(1 + r/n) ^nt,
where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.
The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &
\text{A = P(1 + r/n) }^{nt} &
\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &
\text{3100(1 + 0.04/1)}^{1*10} &
\text{\$4788.03} \\ \hline \text{2} &
\text{3100(1 + 0.04/2)}^{2*10} &
\text{\$4798.76} \\ \hline \text{4} &
\text{3100(1 + 0.04/4)}^{4*10} &
\text{\$4817.46} \\ \hline \text{12} &
\text{3100(1 + 0.04/12)}^{12*10} &
\text{\$4861.94} \\ \hline \end{array}\)
The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.
In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.
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In this picture B and Fare
midpoints.
F
B
2x
с
88
'E
X=[ ? ]
Enter
![In this picture B and Faremidpoints.FB2x88'EX=[ ? ]Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/8EF0kRGnGcu5WYWm0CUxEsUBOFLe7DkZ.png)
Answers
9514 1404 393
Answer:
x = 22
Step-by-step explanation:
The midsegment BF is half length of the base segment CE, so you have ...
2x = 88/2
x = 22 . . . . . divide by 2
Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x,y)→(14x,14y)
to create pentagon M’N’P’Q’R’.
Which statement is true? Select all that apply.
Answers
The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
If a polygon is dilated by a scale factor = k
Rule to be followed as;
(x, y) → (kx, ky)
Here, k = Scale factor
If 0 < k < 1, size of the image will be reduced.
Similarly, k > 1, size of the image will be enlarged.
We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.
Rule used for the transformation,
(x, y) → (1/4x, 1/4y)
Here, the scale factor through which MNPQR has been dilated is 1/4.
Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.
Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.
Option (2) is the answer.
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The complete question is: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y)→(1/4x, 1/4y) to create pentagon M'N'P'Q'R'.
Which statement is true?
a. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.
b. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.
c. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.
d. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.
A biologist measured the length and mass of 20 reptiles. The equation y=0.3x - 2 is the line of best fit for the data, where x is the length, in centimeters, and y is the mass, is grams. Based on the equation what is the approximate length of a reptile that has a mass of 20.5grams
Answers
Answer:
It should be 75 cm if we're taking the same test.
Step-by-step explanation:
y=0.3x-2
20.5=0.3(75)-2
0.3*75=22.5
22.5-2=20.5
20.5=20.5
Using the line of best-fit, it is found that the approximate length of the reptile is of 75 centimetres.
-------------
The mass y, in grams, of a reptile with length of x centimetres is given by:
\(y = 0.3x - 2\)
-------------
Mass of 20.5 grams means that \(y = 20.5\)The length for this reptile is found solving the line of best-fit for x, thus:\(y = 0.3x - 2\)
\(20.5 = 0.3x - 2\)
\(0.3x = 22.5\)
\(x = \frac{22.5}{0.3}\)
\(x = 75\)
The approximate length of the reptile is of 75 centimetres.
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A G.P has a common ratio of 2 find the value of 'n' for which the sum 2n terms is 33 times the sum of n?
Answers
n
= na.
(ii)When the numerical value of r is less than 1 (i.e., - 1 < r < 1), then the formula Sn
n
= a(1−rn)(1−r)
(
1
−
r
n
)
(
1
−
r
)
is used.
(iii) When the numerical value of r is greater than 1 (i.e., r > 1 or, r < -1) then the formula Sn
n
= a(rn−1)(r−1)
(
r
n
−
1
)
(
r
−
1
)
is used.
(iv) When r = 1, then Sn
n
= a + a + a + a + a + .................... to n terms = na.
(v) If l is the last term of the Geometric Progression, then l = arn−1
n
−
1
.
Therefore, Sn
n
= a(1−rn1−r
1
−
r
n
1
−
r
) = (a−arn1−r
a
−
a
r
n
1
−
r
) = a−(arn−1)r(1−r)
a
−
(
a
r
n
−
1
)
r
(
1
−
r
)
= a−lr1−r
a
−
l
r
1
−
r
Thus, Sn
n
= a−lr1−r
a
−
l
r
1
−
r
Or, Sn
n
= lr−ar−1
l
r
−
a
r
−
1
, r ≠ 1.
Please help me if it is correct I will mark you as brainliest.
ANSWER AS QUICKLY AS POSSIBLE!!!!!!!!
Answers
Answer:
I think X = 35 but I'm not sure if it's not right let me know
The number of phone calls between two nearby cities during a given time period, N , varies directly as the populations P₁ and P₂ of the two cities. If 109,000 calls are made between two cities with populations 74,000 and 189,000, how many calls are made between two cities with population 125,000 and 175,000?
Answers
Answer:
170,483
Step-by-step explanation:
You have N varying jointly with P1 and P2, such that N=109,000 for P1=74000 and P2=189000. You want to know N for P1=125000 and P2=175000.
Varies jointlyThe relation "N varies jointly with P1 and P2" can be described by the equation ...
N = k·P1·P2
The value of k can be found as ...
k = N/(P1·P2)
k = 109000/(74000·189000) ≈ 7.793508×10^-6
New citiesThen the number of calls given the populations P1=125000 and P2=175000 is predicted to be ...
N = (7.793508×10^-6)(125000)(175000) ≈ 170482.982...
N ≈ 170483
About 170,483 calls are expected between cities with populations of 125 and 175 thousand.
If the number of phone calls between two nearby cities during a given time period. The number of calls that are made between two cities with population 125,000 and 175,000 is: 170,482,987,500.
How to find the number of calls?Calls made between two cities with populations 74,000 and 189,000,
Call = 109,000/(74000 × 189000)
Call = 109,000 / 13,986,000,000
Call = 7.793508
Calls made between two cities with populations 125,000 and 175,000?
Calls = 7.793508 × 125000 ×175000
Calls =170,482,987,500
Therefore the calls made is 170,482,987,500.
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Given f(x) = 1/2 (3 - x) ^ 2, what is the value of f(15)?
Answers
If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.
The given function is:
f(x) = 1/2 (3 - x)²
To find the value of f(15), we need to substitute 15 for x in the function:
f(15) = 1/2 (3 - 15)²
Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:
f(15) = 1/2 (144)
f(15) = 72
Therefore, the value of f(15) is 72.
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13. Justine is in the 6th floor when she got in t lift (elevator). The lift went 3 levels upward and levels downward. What level is she now? (1 mark) Answer:
Answers
The level of Justine be after translation of lift remains same as initial condition,
⇒ level = 6.
Given that,
Justin is at 6th floor
Therefore,
In initial condition the level of Justine = 6
Now lift went 3 levels upward direction
Add the 3 to the initial level of Justine,
Then the level of Justine after such translation of lift = 6 + 3 = 9
Now lift went 3 levels downward
Now subtracting 3 form the level of Justine after moving upward,
Then the level of Justine after such translation downward = 9 - 3
= 6
Then the final level of Justine after such translation of lift remains same as 6.
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A bottle of laundry soap is 3/5 full. Jamie uses 3/10. Estimate what fraction is left using benchmark fractions.
Answers
Answer:
3/10
Step-by-step explanation:
I don’t know if this a benchmark fraction but if the bottle is 6/10 full then minus 3/10 equals 3/10.
Hoped this helped.
Single post math redo question
Answers
Answer:
See attached graph
Step-by-step explanation:
We need to convert the polar coordinates into Cartesian coordinates using the rules \(x=r\:cos\theta\) and \(y=r\:sin\theta\) (see table in attached file).
The converted points will start to resemble a circle with a horizontal pole and a diameter of 4, so by connecting the points, we get our equation \(r=4\:cos\theta\).
What is the value of y
O 12
O 1/3
O 6
O 2
Answers
Perform the indicated operation:
(4 + 2i) (1 + 5i)
-6 +22i
6-221
-14 + 18i
6+22i
Answers
Answer:
-235+84i
Step-by-step explanation:
I hope this is what you were looking for.
Evaluate the given problems.1. (3x + 1)(2x2 + x + 8)2. (5y5 – 15y4 + 25y2) ÷ (5y)3. Use long division to solve (x2 + 2x + 4) ÷ (x + 2)4. Jun constructed a triangular fence for his chickens. Find the area of the triangular fence if its base is x + 3 m and its height is 2x – 4 m.5. The rectangular floor area of a new residential building is 30x2 – 7x – 2 square meters. If its length is 6x + 1 meters, what is its width?
Answers
To determine the result of the product of the polynomials, we will use the distributive property:
\((a+b)(c)=ac+bc.\)Using the distributive property, we get:
\((3x+1)(2x^2+x+8)=3x*2x^2+3x*x+3x*8+1*2x^2+1*x+1*8.\)Simplifying the above result, we get:
\(6x^3+3x^2+24x+2x^2+x+8.\)Finally, adding like terms we get:
\(6x^3+5x^2+25x+8.\)Answer:
\(6x^3+5x^2+25x+8.\)Write without radical symbols
Answers
Answer:
3³ ¹/⁶Step-by-step explanation:
∛3² · √3⁵ =3²/³· 3⁵/² =3⁽²/³⁺⁵/²⁾ =3 ¹⁹/⁶ =3³ ¹/⁶Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
1, 1, 1, 2, 1, 4, 1,
Answers
The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2
By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.
The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.
Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:
1 + 1 = 2
Hence, based on the observed pattern, the next number in the sequence is 2.
Therefore, the completed list of numbers would be:
1, 1, 1, 2, 1, 4, 1, 2
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Geometry Question!! PLEASE HELp
Answers
The difference between the distance travelled by any point on the record and it's label is; 27.57cm.
What is the difference between the distance travelled in each case?According to the task content, it follows from observation that the quantity required is the difference between the circumference in each case and can be evaluated as follows;
Difference = π(17.78 - 9)
Difference = (22/7) × 8.78
Difference = 27.57cm.
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The spinner shown is spun twice. Express your answer
as a simplified fraction.
7. Find P(the two numbers have an even sum).
8. Find P(two even numbers).
Answers
7) The probability that the two numbers have an even sum is: 0.5
8) The probability that the two are even is: 0.25
How to find the probability in a spinner?7) We want to find the probability that the two numbers have an even sum.
The only combinations that produces an even sum are:
(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)
The other combinations of numbers are:
(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)
Thus, we have a total of 16 combinations and the probability that the two numbers have an even sum is:
P(two numbers with even sum) = 8/16 = 0.5
8) The probability that the two are even is:
4/16 = 1/4
= 0.25
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Which ordered pair is a solution to the system of inequalities? y > 2x
y > 7
A. (0, 0) B. (4, 8) C. (3, 7) D. (1, 9)
Answers
Answer:
D( 1,9)
Step-by-step explanation:
First y must be greater than 7 which eliminates A and C
y must be greater than 2 times the x value
2*4 = 8 so B is eliminated
2*1 = 2 which is less than 9 Choice D is a solution
Which inequality is graphed below
Answers
Answer:
wheres it at?
Step-by-step explanation:
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Which of the following is an example of continuous data?
• A. The number of marbles selected at random from a bag
• B. The wait time at a bus station
C. How many windows there are in a house
• D. The sum of the numbers when two number cubes are rolled
Answers
The example that is a continuous data is B. The wait time at a bus station
Which of the example is a continuous data?From the question, we have the following parameters that can be used in our computation:
The list of options
By definition, a continuous data is a data that can take any value including decimals
From the list of options, we have:
B. The wait time at a bus station
The wait time can be 1.25 hour and it can be 1 hour ie. decimal and integer
Hence, the continuous data is B. The wait time at a bus station
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Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
2x+ 8y = -3
3x+ 6y = -4
Choose all answers that apply
Answers
multiply the top equation by 3, multiply the bottom equation by 4, then subtract the bottom equation from the top equation
multiply the top equation by 3, multiply the bottom equation by -2, then add the equations
Calc II Question
Sketch the region enclosed by the given curves and find its area.
Y = lxl , y = x^2 - 2
Answers
Answer:
\(\displaystyle A=\frac{20}{3}\)
Step-by-step explanation:
\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)
Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.
The temperature was five degrees Celsius in Weston. The temperature was twelve degrees Celsius in Fairfax. Was the weather in Fairfax warmer or cooler than the weather in Weston?
Answers
Answer:
No, the weather in Weston is warmer
Sophia pays a $25.00 membership fee for an online music store. If Sophia purchases n songs for
$3.00 each, and the total cost for her purchase is $60.00. Write and equation for the total cost
of songs s
Answers
Answer:
11 remainder 2 sorry if it's wrong...
Step-by-step explanation:
60.00- 25.00= 35.00 35.00 ÷ 3 = 11 r2
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A flowering plant stands 6.5 inches tall when its placed under a growing light. Its growth is 0.25 inches per day. Which of the following equations represents this situation?
A- y=0.25x+6.5
B- y=6.5x+0.25
C- y= -0.25x+6.5
D- y= - 6.5x+0.25
Answers
Answer: the answer would be a-y=0.25x+6.5
Please help:
Find the perimeter of parallelogram EFGH to the nearest tenth.
Answers
Answer:
Approximately 17.4
Step-by-step explanation:
First you can start off by using the distance formula to find the sides.
EH = \(\sqrt{(-1-1)^2+(5-1)^2} =\sqrt{4+16}=2\sqrt{5}\)
EF = \(\sqrt{(-1-2)^2+(5-8)^2}=\sqrt{9+9}=3\sqrt{2}\)
The perimeter is \(4\sqrt{5}+6\sqrt{2}\)
Which is 17.42955328
Approximately 17.4