Please help my brain is mush i dont understand how this works nd i still have 11 assignments after this-
1. Do these graphs represent functions? Explain.
2. Choose one value that is the domain of both y(x)=x^2 and y^2=x and that is greater that 0. Substitute that value into y(x)=x^2 and y^2=x and then simplify. explain how your answers help show that graph on the left represents a function while the graph on the right represents a relation. show your work and use function notation where possible.
Answers
Answer:
See step by step
Step-by-step explanation:
1. First question, do they represent functions? The one o. the left is a function because if you do the vertical line test. It only passes through a point once so it is a function. while on the right if you do the vertical line test, it passes through a point twice so it not a function. For 2.. n other words, since the domain of this equation is all real numbers or negative infinity to positives infinity
let say x=1 and x=-1 and we use the equation
\(y = {x}^{2} \)
when we plug both those in we get
\(y = 1\)
this means that we can have two different x-values to equal out to the same y value. This is the definition of a function. So the one on the right is a function.
However the one on the left is a relation. TO Prove it, the domain of that function is all real numbers equal to or greater than zero, so let use 4.
\( {y}^{2} = 4\)
\( {y} = 2 \: or \: - 2\)
Since there are 2 possible answer choices as the y value, this isn't a function. It a relation. It maps a group of ordered sets to one x value. Which is the opposite of the function. So the one of the left is a relation
Related Questions
If you estimate that a piece of wood measures 5.5cm if it actually measures 5.62cm what is the percent error of the estimate
Answers
The percent error of the estimate is -2.14%
How to determine the percent error of the estimate?In this question, the figures are given as
Estimate = 5.5 cm
Actual = 5.62 cm
The percentage of the error is then calculated using the following equation
Error percentage = (Estimate - Actual)/Actual * 100%
Substitute the known values in the above equation, so, we have the following representation
Error percentage = (5.5 - 5.62)/5.62 * 100%
Evaluate
Error percentage = -2.14%
Hence, the error percentage is -2.14%
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Which of these expressions is equivalent to log (6 • 7)?
answer on sc :3
Answers
Answer:
C.
Step-by-step explanation:
\(log(6 \times 7) = log6 + log7\)
Please help will mark Brainly
Answers
A large tank contains 350350 liters of a salt solution which has a concentration of 0.650.65 kilograms per liter. A salt solution which has a concentration of 0.80.8 kilograms per liter is added to the solution at a rate of 6060 liters per minute. At the same time, the solution drains from the tank at 6060 liters per minute. Find the amount SS of the salt in the solution as a function of tt:
Answers
Answer:
ss= 350350 × 0.65065 + 6060 x 0.808 x tt - (0.65065 + 6060/350350 x 0.808) 6060 x tt
Huntington Medical Center purchased a used low-field MRI scanner 2 years ago for $445,000. Its operating cost is $350,000 per year and it can be sold for $150,000 anytime in the next 3 years. The Center’s director is considering replacing the presently owned MRI scanner with a state-of-the-art 3 Tesla machine that will cost $2 million.The operating cost of the new machine will be $280,000 per year, but it will generate extra revenue that is expected to amount to $550,000 per year. The new unit can probably be sold for $875,000 3 years from now. You have been asked to determine how much the presently owned scanner would have to be worth on the open market for the AW values of the two machines to be the same over a 3-year planning period. The Center’s MARR is 10% per year.
Answers
The worth of the old scanner machine in the open market will be $86601.60.
How to calculate the worth on open market?To calculate the worth of the scanner on the open market, it's important to compare the values of the machines.
The calculation of the worth of the scanner goes thus:
Let the worth be represented by x.
x(A/P,10%, 3) - 350000 + 150000(A/F, 10%, 3) = 2000000(A/P, 10%, 3) + 270000 + 875000(A/F, 10%, 3)
= 0.4021x - 350000 + 45315 = -804200 + 270000 + 264337.50
0.4021x = 34822.50
Divide by 0.4021
x = 34822.60/0.4021
x = 86601.60
Therefore, the worth is $86601.60.
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Robbie has 3 times as many songs as Mandi in his playlist. If Robbie has 3x + 15 songs, how many songs does Mandi have in her playlist?
Answers
Answer:
x + 5
Step-by-step explanation:
Robbie has 3 times as many songs as Mandi ("oh, Mandy !" - Barry Manilow).
that means Mandi has 1/3 of the songs of Robbie.
so, she has
(3x + 15)/3 = 3x/3 + 15/3 = x + 5 songs
Yvette invests $300 each quarter in a fixed-interest mutual fund paying annual
interest of 7% compounded quarterly. How much will her account have in it at
the end of 11 years?
Answers
Answer:
Step-by-step explanation:
The formula for calculating the amount after t years is expressed as;
A = P(1+r/n)*nt
P is the Principal (amount invested) = $300
r is the rate = 7% = 0.07
t is the time used to save = 11 years
n is time of compounding = 1/4 (quarterly)
Substitute;
A = 300 (1+0.07/(1/4))^(1/4)(11)
A = 300(1+4(0.07))^2.75
A = 300(1+0.28)^2.75
A = 300(1.28)^2.75
A = 300(1.9716)
A = 591.49
Hence the amount that will be in her account after 11 years is $591.49
Solve the compound inequality
Answers
Answer:
B
Step-by-step explanation:
Answer:
I'm so sorry I did not mean to answer! Ignore my response
Step-by-step explanation:
write the equation for the line parallel and the equation for the line perpendicular to the given line j that passes through Q
6x-5y= -15; Q(-1,6)
The equation of the line parallel to 6x-5y= -15 that passes through Q(-1,6) is y=?
Answers
Answer:
The equation of the line parallel is 6x - 5y = - 36
What is the distance between the points (-2,1) and (5,-4)
Answers
Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
Distance between two pointsThe distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.
In other words, the distance between two points in space is the magnitude of the vector formed by said points.
So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:
distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
Distance between the points (-2,1) and (5,-4)In this case, you know:
(x1, y1): (-2,1)(x2, y2): (5,-4)Replacing in the definition of distance:
distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)
distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)
distance= \(\sqrt{7^{2} +(-5)^{2} }\)
distance= \(\sqrt{49+25 }\)
distance= √74= 8.6023
Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
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A packing machine can pack 2,500 boxes in 5 hours. At what rate does the machine work?
(HELP TAKING A TEST)
Answers
Answer:
500 boxes an hour?
Step-by-step explanation:
Answer:
The machine can pack 500 boxes in one hour
You can add +500 in case for more hours
Step-by-step explanation:
2,500 divided by 5 is 500.
A study was being conducted about birth weights of babies at a local hospital and found the average to be 7.6 pounds with a standard deviation of 1.3 pounds (the distribution was approximately normal). Many pre-mature births weights are in the lowest 1% of births. What would be the birth weight associated with the lowest 1%?
Answers
Answer:
The birth weight associated with the lowest 1% is 4.6 pounds.
Step-by-step explanation:
Let X represent the birth weights of babies.
It is provided that \(X\sim N(7.6,1.3^{2})\)
It is also provided that many pre-mature births weights are in the lowest 1% of births.
Let x represent the births weights that are in the lowest 1% of births.
That is, P (X < x) = 0.01.
⇒ P (Z < z) = 0.01
The corresponding z-score is, z = -2.33.
Compute the value of x as follows:
\(z=\frac{s-\mu}{\sigma}\\\\-2.33=\frac{x-7.6}{1.3}\\\\x=7.6-(1.3\times 2.33)\\\\x=4.571\\\\x\approx 4.6\)
Thus, the birth weight associated with the lowest 1% is 4.6 pounds.
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answers
the price is three for $1.48 how much will one pepper cost?
Answers
Answer:
$0.4933
Step-by-step explanation:
i guess
Just divided by 3 ;)
Consider the steps to convert 49% to a decimal.
The decimal point will move
places.
The decimal point will move to the
.
49% written as a decimal is
.
Answers
9514 1404 393
Answer:
2 placesto the left0.49Step-by-step explanation:
It can be useful to consider the percent symbol (%) as a shorthand way to write /100. That is, where you see %, /100 is completely equivalent.
49% = 49/100
If you recognize that 1/100 (one hundredth) is 0.01 in decimal (one hundredth), then you can see that 49/100 = 49×0.01 = 0.49.
__
A lot of folks consider the % symbol to be separate from the number, just as units of degrees or hours or inches might be. So, they tell you to do the conversion by moving the decimal point on the % value 2 places to the left (and drop the % symbol):
49% = 49.% = .49
_____
Additional comment
As you can tell, I think of the % symbol as part of the number 49%, just as /100 is part of the number 49/100. Forty-nine hundredths can be written as any of 49/100 or 0.49 or 49%.
Answer:
2 places
to the left
0.49
Step-by-step explanation:
12
1. Find a common denominator for 1/3 and 1/12 by dividing each whole into the same number of equal parts.
Answers
Answer: To find a common denominator for 1/3 and 1/12, we need to divide each whole into the same number of equal parts. The denominator of 1/3 represents three equal parts, so we can divide the whole into three parts. The denominator of 1/12 represents twelve equal parts, so we can divide the whole into twelve parts.
The smallest number of parts that both 3 and 12 divide into evenly is 12. So, we can represent 1/3 as 4/12 by dividing each of the three equal parts into four smaller equal parts. And we can represent 1/12 as 1/12 by dividing each of the twelve equal parts into one smaller equal part.
Therefore, a common denominator for 1/3 and 1/12 is 12, and we can rewrite the fractions as:
1/3 = 4/12
1/12 = 1/12
Step-by-step explanation:
Is X 8 is a factor of f/x Which of the following must be true?
Answers
If (x + 8) is a factor of f(x), then the true statement is f(-8) = 0 .
In the question ,
it is given that , x \(+\) 8 is factor of f(x) ,
we have to select the correct option about f(x) from the given options .
When solving the polynomials, a factor of the polynomial gives the solution of the polynomial.
that means , x + 8 = 0
So , x = -8 ,
So , it means that when x = -8 , then the value of the function f(-8) will be zero ,
which means that x = -8 will be a root of the given function f(x) .
Therefore , the true statement is f(-8) = 0 .
The given question is incomplete , the complete question is
If (x + 8) is a factor of f(x), which of the following must be true ?
(a) Both x = –8 and x = 8 are roots of f(x).
(b) Neither x = –8 nor x = 8 is a root of f(x).
(c) f(–8) = 0
(d) f(8) = 0
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Banu will build a fence around a rectangular
30-foot-by-25-foot play area. Given that fencing costs
$4.05 per foot, how much will the fencing cost for
Banu to completely surround the play area?
Answers
Answer:
A
Step-by-step explanation:
Dimension of the rectangular fence:
Length = 30 ft
Width = 25 ft
Perimeter of the rectangular fence = 2(L + W)
= 2(30 + 25) = 2(55)
Perimeter = 110 ft
Fencing cost per foot = $4.05
Fencing cost for 110 ft = 110 × 4.05 = $445.50
For any real number a, \(\sqrt{a^{2} }\)=
Answers
Step-by-step explanation:
for any real number a, the definition is:
\( \sqrt{ {a}^{2} } = |a| \)
Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green
Answers
Answer:
1/4
Step-by-step explanation:
4 skittles and one being green
Answer:
4/5
Step-by-step explanation:
According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.
What type of shape is the tin of Ricoffy .
Answers
Answer: Cylinder!
Step-by-step explanation:
The tin shape of Ricoffy, the coffee brand, is a cylinder 3d shape!
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answers
Answer:
2
Step-by-step explanation:
1+1=2
given the function f(x)=11x-22
find f(3)
Answers
Answer:
f(x)=11x-22
f(3)=11(3)-22
11(3)-22
33-22=11
Select all equations that match the tape diagram.
Answers
Answer:
6x+8=35
35=8+6x
Step-by-step explanation:
id.k about 35=8+x+X+X+x+X+x
4,7,14,49, next number is what
Answers
Drag each inequality to the column which is labeled with its solution.
( look at photo for reference )
Answers
Drag the solution of each inequality as shown below:
3(x - 5) + x < 13 : x<7
2(x + 8) > 4x + 2 : x<7
3x + 2(x - 8) > x : x > 4
2(x + 6) < 3x + 8 : x > 4
How to solve the inequalities?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4
3(x - 5) + x < 13
3x -15 + x < 13
4x -15 < 13
4x < 13 + 15
4x < 28
x < 28/4
x < 7
2(x + 8) > 4x + 2
2x + 16 > 4x + 2
2x - 4x > 2 - 16
-2x > -14
x < -14/(-2) (Note: Sign will change if you divide with negative numbers)
x < 7
3x + 2(x - 8) > x
3x + 2x -16 > x
5x - 16 > x
5x - x > 16
4x > 16
x > 16/4
x > 4
2(x + 6) < 3x + 8
2x + 12 < 3x + 8
2x - 3x < 8 - 12
-1x < -4
x > -4/(-1)
x > 4
Therefore, drag the solution of each inequality accordingly.
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It takes 20 days using 12 machines to produce a batch of pens.
due to a fault only 3 machines were used for the first 8 days, all 12 machines were used from day 9 onwards.
how many days in total to produce the batch of pens
Answers
It would take a total of 20 days to produce the batch of pens.
Let's calculate the work done by the 3 machines for the first 8 days:
Work done by 3 machines in 8 days = (3/12) * 8 = 2 days' worth of work
The remaining work that needs to be done by all 12 machines is:
Remaining work = 1 - (2/20) = 0.9
Now, we can use the work formula to find the total number of days needed to complete the remaining work with 12 machines:
Total work = 0.9
Work done by 12 machines in one day = 12/20 = 0.6
Total number of days needed = 0.9/0.6 = 1.5
Therefore, the total number of days needed to produce the batch of pens is:
8 (days with 3 machines) + 1.5 (days with 12 machines) = 9.5 days
However, we also need to add the 10.5 days it would take for all 12 machines to complete the batch from the beginning:
10.5 + 9.5 = 20 days
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Young's rule find dosage for child. Adult dosage is 75mg. And the age of the child is 12. Calcuate child dosage in my.C=ad________ (a+12)
Answers
Given:
The adult dosage is 75mg and the age of the child is 12.
The formula to find the child's dosage is
\(C=\frac{ad}{a+12}\)where a is the child's age, d is the usual adult's dosage and C is the child's dosage.
Required:
We need to find the child's dosage.
Explanation:
Consider the formula to find the child's dosage.
\(C=\frac{ad}{a+12}\)Substitute a =12 and d =75 in the formula.
\(C=\frac{12\times75}{12+12}\)\(C=\frac{900}{24}=37.5\text{ mg.}\)Final answer:
The child's dosage is 37.5mg.
The lengths of the sides of a triangle are in the extended ratio 4:7:10. The perimeter of the triangle is 105 cm. What are the lengths of the sides?
The lengths of the sides of the triangle in cm are
Answers
Answer:
20cm, 28cm, 40cm
Step-by-step explanation:
Let the shortest side be 4x, the middle side be 7x and the longest side be 10x.
4x + 7x + 10x = 105
21x = 105
x = 105 ÷ 21
x = 5
Shortest side (4x) = 5 × 4
Shortest side (4x) = 20
Middle side (7x) = 7 × 4
Middle side (7x) = 28
Longest side (10x) = 10 × 4
Longest side (10x) = 40
How many 11-card hands are possible with a 20-card deck?
Answers
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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