Step-by-step explanation:
the domain is the interval or set of all valid x (input) values.
the range is the interval or set of all valid y (function result) values.
so, we see here, x goes from -2 to +2.
and y stays between -5 and -1.
the hole point at (-2, -1) means the point itself is not included. the full point (2, -1) means the point itself is included.
the domain is
-2 < x <= +2
"-2 < x" because (-2, -1) is not included.
"x <= +2" because (2, -1) is included.
the range is
-5 <= y <= -1
"y <= -1" because for the included point (2, -1) y can reach -1, even though (-2, -1) is excluded.
On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
Answer:
Option B
Step-by-step explanation:
A unit circle means radius of the circle = 1 unit
Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.
Center of the circle is origin (0, 0).
Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = \((\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})\)
OP.Cosθ = 1×Cosθ = \(\frac{1}{\sqrt{2}}\)
Cosθ = \(\frac{1}{\sqrt{2}}\)
θ = \(\frac{\pi }{4}+2\pi n\), \(\frac{7\pi }{4}+2\pi n\) where n = integers
Similarly, OP×Sinθ = 1×Sinθ = -\(\frac{1}{\sqrt{2}}\)
Sinθ = -\(\frac{1}{\sqrt{2} }\)
θ = \(\frac{5\pi }{4}+2\pi n\), \(\frac{7\pi }{4}+2\pi n\) where n = integer
Common value of θ will be, θ = \(\frac{7\pi }{4}\)
Option B will be the answer.
James used 42% of the money on a gift card to purchase groceries. If he spent $67.20 on groceries, how much was on the gift card to begin with?
Answer:
160 dollars
Step-by-step explanation:
Can someone please help me I need help righ now
Answer:
a.2x
b.2x+4
c.3x
Step-by-step explanation:
We know that x represents the n umber of quarters. From this we can represent the number of dimes as twice, or 2x.
We can do the same as there are 4 more nickels than dimes and dimes is represented as 2x, we can get 2x+4
Same with the last as many quarters mneaning 3x.
Answer:
a) d = 3x
b) n = 3x + 4
c) p = 3x
Step-by-step explanation:
The first thing we have to do is understand and translate the word problem into a math equation.
Let's first start with using different variables for each denomination and later we will convert everything in terms of x which is the number of quarters.
Let
p = number of pennies
d = number of dimes
q = number of quarters
Now wherever there is a q in the equation, substitute it with x
Equation (1) d = 3q ==> d = 3x (substituting x for q)
Equation (2) n = d + 4 ==> n = 3x + 4 (substituting 3x for d)
Equation (3) p = 3q ==> p = 3x (substituting x for q)
has anybody done the midpoint and distance zombie worksheet?????
leer leer con atención y así como respondes mucho cuidado
Answer:
use formula midpoint (x,y)={(x1+x2)/2,(y1+y2)/2}
A rock concert producer has scheduled an outdoor concert. The producer estimates the attendance will depend on the weather according to the following data.
to find the expected attendance, multiply the attendance by probability then add the products
6000 * 0.1 = 600
25000 * 0.2 = 5000
15000 * 0.2 = 3000
55000 * 0.5 = 27500
27500 + 3000 + 5000 + 600 = 36100
36100 * 15 = 541500 - 300000 = 241500 - 55000 = 186500
1/2 w + 2 ; w = 1/9 what is the answer because i have been on this problem for an hour
Answer:
its -1/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
1/2 (1/9) + 2=
1/18 + 2=
2 1/18
Suppose you are about to begin a game of Fibonacci nim. You start with 500 sticks. What is your first move? Why?
So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.
The first few numbers in the Fibonacci sequence are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. To determine the number of sticks a player can remove, they look at the previous two numbers in the sequence and add them together. For example, if the previous two numbers were 3 and 5, the player could remove 8 sticks.
To start, we need to find the largest number in the Fibonacci sequence that is less than or equal to 500. Looking at the sequence, we see that 21 is the largest number that fits this criteria. Therefore, on your first move, you can remove up to 21 sticks from the pile.
But should you remove all 21 sticks? Not necessarily. In Fibonacci nim, it is often advantageous to leave your opponent with a certain number of sticks that will force them to make a move that is disadvantageous. One such number is 4. If you can leave your opponent with 4 sticks, they will be forced to remove all 4 and you willbe left with a favorable position.
So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.
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5 weeks 4 days -3 weeks 6 days. _____________
Answer:
1 week 8 days
that's the pattern
subtract 2 weeks add 2 days
brainliest would be nice
have a nice day
Step-by-step explanation:
Answer:
8 weeks
Step-by-step explanation:
Given the table below, the solutions to the quadratic are _____ and ____. (negative answer first)
The solutions to the quadratic function are x = 0 and x = 4, with the negative answer first.
How to find the coefficients of the quadratic function?We can use the values of the points given in the table to form a system of equations that will allow us to find the coefficients of the quadratic function.
Let's assume that the quadratic function is of the form:
\(y = ax^2 + bx + c\)
Using the points (-2,0), (0,1), and (2,0), we can form three equations:
0 = 4a - 2b + c (equation 1)
1 = c (equation 2)
0 = 4a + 2b + c (equation 3)
Simplifying equations 1 and 3 by eliminating c, we get:
4a - 2b = -c (equation 1')
4a + 2b = -c (equation 3')
Adding equations 1' and 3', we get:
8a = -2c
c = -4a
Substituting c = -4a into equation 2, we get:
1 = -4a
a = -1/4
Substituting a = -1/4 into equation 1', we get:
-1 + 2b = 1
b = 1
Therefore, the quadratic function is:
\(y = -1/4 x^2 + x - 0\)
To find the solutions to the quadratic, we need to solve for x when y = 0:
\(0 = -1/4 x^2 + x\)
0 = x(-1/4 x + 1)
x = 0 or x = 4
Therefore, the solutions to the quadratic are x = 0 and x = 4, with the negative answer first.
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Josh bought 3 bottles of grape juice and 5 bottles of water for a total of $14.50. Mary bought 2 bottles
of grape juice and 3 bottles of water for a total of $9.00. How much does the grape juice cost and the water?
Answer:
Bottle of water = $2Bottle of grape juice = $1.50Step-by-step explanation:
Grape juice = gWater = wEquations:
3g + 5w = 14.502g + 3w = 9.00Subtract the 3 times the second equation from the twice the first:
2*(3g + 5w) - 3(2g + 3w) = 2*14.50 - 3*9.006g + 10w - 6g - 9w = 29 - 27w = 2Then, finding g:
3g + 2*5= 14.503g = 14.50 - 103g = 4.5g = 1.50How to measure an angle
Answer:
You can use Protector' but dint have use this method:
Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.
i need the answer pls and ty
Answer:
B
Step-by-step explanation:
45-45-90 triangles have the ratio 1:1:sqrt(2) on their sides
20sqrt(2):20sqrt(2):20(2)/40 satisfies this ratio
Express cos � L as a fraction in simplest terms.
Answer:
cos(L) = (√46)/11
Step-by-step explanation:
You want cos(L) in simplest terms, given right triangle side lengths LK=√46 and JK=√75.
CosineThe cosine is the ratio ...
Cos = Adjacent/Hypotenuse
The side adjacent to vertex L is LK. The hypotenuse of the triangle is LJ. This means the desired ratio is ...
cos(L) = LK/LJ
Pythagorean theoremThe length of hypotenuse LJ can be found using the Pythagorean theorem.
LJ² = LK² +JK²
LJ² = (√46)² +(√75)² = 46 +75 = 121
LJ = √121 = 11
RatioThen the desired ratio is ...
cos(L) = (√46)/11
sample size and the confidence level width have a (n) __________ relationship.
Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.
When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.
The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.
A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.
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Cuál de los siguientes es un triángulo rectángulo?
A
2 cm - 3 cm - 4 cm
B
4 cm - 5 cm - 6 cm
C
6 cm - 8 cm - 12 cm
D
5 cm - 12 cm - 13 cm
Step-by-step explanation:
B
PLZ HELP THIS IS TIMED
Answer:
150
Step-by-step explanation:
116
Step-by-step explanation:
area of triangle is b times h divide by 2then for square is b times h
Question 3 Rose purchased a total of 17 books and toys for the Rupert Play School. Each book costs $11 and each toy costs $6. How many books and toys did she buy for $157? Justify your answer. 5 points - You must show your work for full credit. 6 books and 11 toys 7 books and 10 toys 10 books and 7 toys 11 books and 6 toys
Answer:
6 toys
Step-by-step explanation:
ua c;uie vuiea uae;v aa
You are left with 29,333 in CAD. If you convert that at the forward rate of 1.6, you have?
how to solve this
The conversion of 29,333 CAD at a forward rate of 1.6 is approximately 47,132.8 USD.
Amount left = CAD 29,333Forward rate = 1.6To find:
Amount in some other currency using this forward rateSolution:
Forward rate is used to determine the future exchange rate based on the present exchange rate.
The forward rate is calculated on the basis of the spot rate and the interest rate differential.
The forward rate in foreign exchange markets indicates the exchange rate that will be applicable at a future delivery date.
the Canadian dollar is the domestic currency and we want to find out the amount of some other currency that can be obtained using this forward rate of 1.6.
Using the forward rate,1 CAD = 1.6
Another way of writing this can be:1/1.6 = 0.625So, using this we can calculate the amount in some other currency, Let us assume it to be USD.
The amount in USD will be = CAD 29,333 * 0.625= 18,333.125 USD (approx)
Hence, the amount in USD is 18,333.125 using the given forward rate of 1.6.
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URGENT
Which of the following functions is most likely to have the smallest value for y if x is large? (Assume k is positive.)
Please select the best answer from the choices provided
A. a direct variation function with a small value for k
B. a direct variation function with a large value for k
C. an inverse variation function with a small value for k
D. an inverse variation function with a large value for k
B. A direct variation function with a large value for k
This is most likely to have the smallest value for y if x is large.
What is meant by value?
The term "value" refers to the worth, usefulness, or significance of something, often expressed in terms of its financial or quantitative value. It can also refer to the qualities or characteristics that make something desirable or valuable.
What is meant by function?
a function is a rule that assigns a unique output or value to each input or argument in a given set. It describes the relationship between two sets and is often represented by an equation or graph.
According to the given question:
For a direct variation function y=kx, if x is large, the value of y will also be large, because k is positive. However, if we increase the value of k, the rate of increase of y with respect to x will also increase. Therefore, a direct variation function with a large value of k will increase more rapidly than a direct variation function with a small value of k. Thus, a direct variation function with a large value for k is most likely to have the smallest value for y if x is large.
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HELP please like really fast please
To find the width of the rectangle, we need to use the formula for the perimeter of a rectangle, which is:
Perimeter = 2(length + width)
We can set this equal to the given expression for the perimeter:
14x^3 + 12x^2 - 10x + 10 = 2[(x^4 - x^3 + x^2 - x + 1) + width]
Simplifying the right-hand side, we get:
14x^3 + 12x^2 - 10x + 10 = 2x^4 - 2x^3 + 2x^2 + (-2x + 2) + 2width
Combining like terms, we have:
2width = 2x^4 - 2x^3 + 16x^2 - 8x + 8
Dividing both sides by 2, we get:
width = x^4 - x^3 + 8x^2 - 4x + 4
Therefore, the width of the rectangle is x^4 - x^3 + 8x^2 - 4x + 4.
What is the formula for finding the perimeter of a rectangle?The formula for finding the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width of the rectangle.
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Need help on this one
Answer: X = 3
Step-by-step explanation:
We have the initial, \(-3x+14=4x-7\).
We have to have the unknown's on one side, and the known's on another.
Using the American Method taught in schools, we subtract 14 from both sides.
\(-3x+14-14=4x-7-14\)
Then we simplify.
\(-3x=4x-21\)
Then we subtract 4x from both sides.
\(-3x-4x=4x-21-4x\)
Simplify again.
\(-7x=-21\)
Divide both sides by -7
\(\frac{-7x}{-7} = \frac{-21}{-7}\)
To do that division, we apply the rule \(\frac{-a}{-b} = \frac{a}{b}\)
\(\frac{7x}{7}\)
Divide the number excluding the x.
\(\frac{7}{7} = 1\), leaving us with x.
Now for \(\frac{-21}{-7}\), we can use the earlier rule to get \(\frac{21}{7}\).
After the division we are left with 3.
Using both, we now know that x = 3.
Determine the number of significant figures in each measurement. Then, choose the representation of the number where x is in place of the estimated digit from the measurement.a) 14.8mb) $10.25c) 0.05 Ld) 1.000 g/mLe) 6200cmf) 403 kg
Significant figures with representation of x are a) 14.8 m = 14.x m. b) $10.25 = 10.2x. c) 0.05 L = 0.0x L. d) 1.000 g/mL = 1.00x g/mL. e) 6200cm = 6200x cm. f) 403 kg = 40x kg.
a) 14.8m has 3 significant figures. Representation with x in place of estimated digit: 14.x m. b) $10.25 has 4 significant figures. Representation with x in place of estimated digit: 10.2x. c) 0.05 L has 1 significant figure. Representation with x in place of estimated digit: 0.0x L. d) 1.000 g/mL has 4 significant figures. Representation with x in place of estimated digit: 1.00x g/mL. e) 6200cm has 2 significant figures. Representation with x in place of estimated digit: 6200x cm. f) 403 kg has 3 significant figures. Representation with x in place of estimated digit: 40x kg. Significant figures are the digits in a measurement that are reliable and accurate. They provide an indication of the precision of a measurement, and allow us to communicate the level of certainty we have in a particular value. When determining the number of significant figures in a measurement, we typically follow a set of rules. Non-zero digits are always significant, zeros between non-zero digits are significant, and trailing zeros to the right of the decimal point are significant. Zeros at the beginning of a number or to the left of a non-zero digit are not significant. The use of significant figures is important in science and engineering to ensure accurate and reliable measurements. When performing calculations with measurements, the result should be reported with the same number of significant figures as the least precise measurement used in the calculation. In addition, when rounding a number, the last digit should be rounded to the nearest value consistent with the number of significant figures being used. Understanding significant figures is an important part of scientific and mathematical communication, and can help to ensure accuracy and consistency in the reporting of data and calculations.
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You have just signed up for a broadband home internet service that uses coaxial cable. which connector type will you most likely use?
Answer:
F type connector
Step-by-step explanation:
Use an F-type connector for broadband cable connections that use coaxial cable.
The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,
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F type connector
The F-connector is a coaxial RF connector commonly used for "wireless" terrestrial television, cable television, and common for satellite television and cable modems, usually with RG-6/U cable or with RG -59 / U.F connector is also known as threaded connector. There are two main types: 7mm (6.8mm) is the most common and used in coaxial cable, and 5mm connector is used in thin coaxial cable commonly used in satellite system.
The F-connector is an accessory that connects a coaxial cable to an electronic device or wall outlet.
Type F connectors are highly mechanical and electrically stable coaxial screw connectors for cable television (CATV), set-top boxes, cable modems and satellite television applications up to 4 GHz
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The cost, in dollars, for a video game developer to code g games can be represented by the function v(g) . The number of games produced in w weeks is given by the function g(w) = 4w.
After w weeks, the expression for the total cost of games is 250 + 4000w.
What is Expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1.
As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.
Linear expressions are what the two expressions are. One variable raised to the power of one makes up a linear expression.
250 + 1000g.
Where: g(w) = 4w.
250 + 1000(4w).
250 + 4000w.
Therefore, number of games produced in w weeks is 250 + 4000w.
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Rewrite the function to make it easy to graph using transformations of its parent function Describe the graph
y=(9x-27)-1
Y=
The graph _____(stretches, shrinks) vertical by a factor of _____ and is translated____ units to the _____(right,left) and ______ units _____(up,down)
I don’t know how to do it please explain thank you
Answer:
Step-by-step explanation:
y= (9x-27)² -1
Try to write it to be in the form of y= a(x-h)²+k where (h, k) is the vertex
y= (9x-27)² -1, factor 9 in parenthesis
y= [9(x-3)]²-1, use that (a*b)² =a²*b²
y= 81(x-3)²-1
The graph -stretches- vertical by a factor of _81_
(because the graph of x² becomes narrower since |81| > 1)
and is translated_3_ units to the -right -
(because taking away from the x will move the graph to the right)
and _1_ units -down
(because taking away from 81(x-3)² means you take away from y one unit so we go down 1 unit)
what is the predicted value for accidents per 1000 licenses for a city that has 13% of its licensed drivers under age 21, according to the estimated regression equation?
Answer:2.131
Step-by-step explanation:
What is the predicted value for accidents per 1000 licenses for a city that has 13% of its licensed drivers under age 21, according to the estimated regression equation? Answer: 2.131 The p -value for "Percent under 21" in the regression output is p = 0.0000.
the patient with localized prostate cancer will exhibit which symptoms?
Prostate cancer is a type of cancer that develops in the prostate gland.Symptoms of Prostate CancerProstate cancer is usually asymptomatic during the early stages.
The patient with localized prostate cancer will exhibit no specific symptoms. Hence, a Prostate cancer is a type of cancer that develops in the prostate gland, which is located beneath the bladder and is responsible for producing a fluid that nourishes and transports sperm.What is prostate cancer?The prostate is a gland in the male reproductive system located below the bladder and in front of the rectum. It surrounds the urethra, the tube that carries urine from the bladder, through the prostate, and out of the body. The prostate gland produces a milky fluid that forms part of the semen that transports sperm out of the body. Prostate cancer is a type of cancer that develops in the prostate gland.Symptoms of Prostate CancerProstate cancer is usually asymptomatic during the early stages. Later stages of prostate cancer can result in urinary problems and other symptoms. They are:Difficulty in urinatingWeak urine stream or flowDiscomfort in the pelvic region or when urinatingPain in the back, hip, or pelvisBlood in the urine or semenIn conclusion, localized prostate cancer may not exhibit any specific symptoms, which makes it important to get routine screenings for the condition.
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Solve the system using substitution (1 point)
x + y = 8
y = 3x
(A). (4, 12)
(B). (2, 6)
(C). (1/2, 3/2)
(D). (-4, -12)
The solution to the system is x = 2 and y = 6, represented as the ordered pair (2, 6). This corresponds to option (B) in the answer choices.
To solve the system using substitution, we'll substitute the value of one variable from one equation into the other equation and solve for the remaining variable.
Given the system:
x + y = 8
y = 3x
Substituting the value of y from the second equation into the first equation, we have:
x + (3x) = 8
4x = 8
x = 2
Now, substitute the value of x into the second equation to solve for y:
y = 3(2)
y = 6
Therefore, the solution to the system is (2, 6). Option (B) is the correct answer.
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Suppose that we have a sample space with five equally likely experımental outcomes: E
1
,E
2
′
E
3
′
E
4
, E
5
. Let
A={E
1
,E
4
}
B={E
2
,E
3
}
C={E
2
,E
4
,E
5
}.
(a) Find P(A),P(B), and P(C).
P(A)=
P(B)=
P(C)=
(b) Find P(A∪B). P(A∪B)= Are A and B mutually exclusive? They mutually exclusive. (c) Find A
C
. (Enter your answer in set notation.) A
C
= Find C
C
. (Enter your answer in set notation.) C
C
= Find P(A
C
) and P(C
C
).
P(A
C
)=
P(C
C
)=
(d) Find A∪B
C
. (Enter your answer in set notation.) A∪B
C
= Find P(A∪B
C
). P(A∣A
C
)= (b) Find P(A∪B). P(A∪B)= Are A and B mutually exclusive? They mutually exclusive. (c) Find A
C
. (Enter your answer in set notation.) A
C
= Find C
C
. (Enter your answer in set notation.) C
C
= Find P(A
C
) and P(C
C
). P(A
C
)= P(C
C
)= (d) Find A∪B
C
. (Enter your answer in set notation.) A∪B
C
= Find P(A∪B
C
). P(A∪B
C
)= (e) Find P(B∪C). P(B∪C)= Need Help?
(a)1/5.P(A) = 2/5, P(B) = 2/5, and P(C) = 3/5. (b)A and B are mutually exclusive. (c) A C = {E2, E3, E5}. (d) P(B∪C) = P(B) + P(C) - P(B∩C).B∩C = {E2, E4}.P(B∩C) = 2/5 * 3/5 = 6/25.P(B∪C) = 2/5 + 3/5 - 6/25 = 19/25.
(a) Find P(A), P(B), and P(C).The set of all the experimental outcomes is given as {E1, E2, E3, E4, E5}.
We know that the probability of any event happening is equal to the number of ways that the event can happen divided by the total number of possible outcomes.
As there are 5 equally likely outcomes in this case, the probability of any one outcome occurring is 1/5.P(A) = 2/5, P(B) = 2/5, and P(C) = 3/5.
(b) Find P(A∪B). P(A∪B) is the probability of either A or B happening. A and B have no outcomes in common, so they are mutually exclusive.
Therefore, the probability of A or B happening is the sum of their individual probabilities.
P(A∪B) = P(A) + P(B) = 2/5 + 2/5 = 4/5.
A and B are mutually exclusive.
(c) Find A C. A C represents the outcomes that are not in A, i.e., the set of all outcomes that are not in A.
A C = {E2, E3, E5}.
(d) Find A∪B C. A∪B C is the set of all outcomes that are in either A or B but not in both.
A∪B = {E1, E2, E3, E4}.A∪B C = {E1, E4}.(e) Find P(B∪C). P(B∪C) is the probability of either B or C happening.
P(B∪C) = P(B) + P(C) - P(B∩C).B∩C = {E2, E4}.P(B∩C) = 2/5 * 3/5 = 6/25.P(B∪C) = 2/5 + 3/5 - 6/25 = 19/25.
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find the values of x and y in the figure
\( \frac{5}{y} = \frac{5 + 3 }{y + x} \)
\(5(y + x) = y( 5 + 3)\)
\(5y + 5x = 8y\)
\(5x = 8y - 5y\)
\(5x = 3y\)
\( \frac{x}{y} = \frac{3}{5} \)
\(x = 3\)
\(y = 5\)