What is the value of x?

What Is The Value Of X?

Answers

Answer 1

The value of x in the segment is 3

How to determine the value of x?

Using the secant and segment theorem, we have:

x * (x + 21) = (x + 1) * (x + 1 + 14)

Evaluate the sum

x * (x + 21) = (x + 1) * (x + 15)

Expand

x^2 + 21x = x^2 + 15x + x + 15

Subtract x^2 from both sides

21x = 15x + x + 15

Evaluate the like terms

5x = 15

Divide both sides by 5

x = 3

Hence, the value of x is 3

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Related Questions

How to translate a graph of y= absolute value of x to obtain the graph of y= absolute value of x-6

Answers

Answer: Translate the graph of y=|x| 6 units to the right.

Which graph represents y = RootIndex 3 StartRoot x + 6 EndRoot minus 3?
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 1.
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 5.
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 7.
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 5.

Answers

The graph is: On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5

A cubic function in mathematics is one with the formula f(x)=ax3+bx2+cx+d, where aneq 0 and the coefficients a, b, c, and d are complex numbers, and the variable x has real values. In other words, it is a real function as well as a polynomial function of degree three.

The function we have is:

y = ∛(x - 5)

So cubic root is given

Here we notice that when x = 0, we have:

y = ∛-5, this is the y-intercept

And when x = 5 we have:

y = ∛0 = 0 which is the x-intercept, and also the inflection point because here we have the change of sign.

Hence option which describes graph best is On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5

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Answer:A

Step-by-step explanation: Edge 2022

Which point on the number line represents the product (Negative 4) (negative 2) (negative 1)?

A number line going from negative 10 to positive 10. Point A is negative 8, point B is negative 7, point C is 7, point D is 8.

Answers

The point on the number line represents the product (- 4), (- 2), and (- 1) will be the negative 8. Then the correct option is A.

What is multiplication?

It is also known as the product. If the object n is given to m times, then we just simply multiply them.

The point on the number line represents the product (- 4), (- 2), and (- 1) will be

Then the product will be

-4 x -2 x -1 = -8

Then the correct option is A.

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6. What is the cube of 8?
A. 64
B. 2
C. 512
D. 24

Answers

Answer : C. 512

step-by-step explanation :

8 8(square) = 8² = 8 × 8= 64 8(cube) = 8³ = 8 × 8 × 8 = 64 × 8

512

[tex]\qquad\qquad\qquad\boxed{\bf\:\: \: (c) \: 512}[/tex]

[tex] \purple{\bold{\underline{\underline{ Cube \: of \: 8 \: is = 512:}}}}[/tex]

[tex]\red{\bold{\underline{\underline{so \: option \:( c ) \: is \: correct \: \: :}}}}[/tex]

[tex]\orange{\bold{\underline{\underline{ more \: additional \: information \: :}}}}[/tex]

if a number is multi by by itself 3 then the obtained number is called cube.

the cube of a natural number is that given number raised to the power 3

PROPERTIES -: cube of all even natural number is always even.cubes of all odd natural number are odd.the cube of natural number ending a zero has 3 on it.the cube of the natural number ending with one was one is it unit digitcube of negative number always negative.

To find Cubes -:

direct methodalternate methodcolum method

To find Cube Root -:

prime factorizationsuccessive subtraction method.estimation method

On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos.
(a) On that date, how many dollars was 149.23 pesos worth?
Round your answer to the nearest hundredth of a dollar.
dollars
(b) On that date, how many pesos was 63.64 dollars worth?
Round your answer to the nearest hundredth of a pesos. I need help with these problems

Answers

On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos, 149.23 pesos was worth 7.61 dollars and 63.64 dollars was worth 1247.98 pesos

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

One U.S. dollar = 19.61 Mexican pesos

a) 149.23 pesos = 149.23 pesos * One U.S. dollar per 19.61 Mexican pesos = 7.61 dollars

b) 63.64 dollars = 63.64 dollars *  19.61 Mexican pesos per dollar = 1247.98 pesos

On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos, 149.23 pesos was worth 7.61 dollars and 63.64 dollars was worth 1247.98 pesos

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A dairy farmer wants to make 45% protein supplement and a standard 15% protein ration to make 1800 pounds of high grade 35% protein ration how many pounds of each should be used.

Answers

1200 pounds of protein supplement and 600 pounds of standard protein is used.

Let a be the protein supplement and b be the standard protein.

Given that protein supplement and standard protein make 1800 pounds of high grade protein.

i.e., a+b = 1800 ------- (1)

45% a + 15% b = 35% 1800

0.45a + 0.15b = 1800 (3.5)

By (1), a = 1800 - b

Substituting, we get

0.45 (1800-b) + 0.15b = 630

810 - 0.45 b + 0.15b = 630

- 0.3 b = - 180

b = -180/-0.3

b = 600

Substituting b = 600 in (1),

we get

a = 1200.

Hence, 1200 pounds of protein supplement and 600 pounds of standard protein is used.

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suppose the theoretical probability of winning a prize in the carnival game 0.18 based on this probability how many more customers would u have expected to win a prize​

Answers

The number of customers I would have expected to win the prize is 6.

How many more customers would I have expected to win the prize?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Based on the probability, the number of customers I would have expected to win: 0.18 x 300 = 36

How many more people I would have expected to win : 36 - 30 = 6

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What do large differences of the mean of each group indicate

Answers

The Actual Question:

What do large differences of the means of each group indicate? Select the correct answer.

A. The large differences do not indicate any Significant meaning in the given context.

B. The peppers with different weights aren't properly distributed between the two groups.

C. There is not enough information to analyze the differences.

D. The peppers with different weights are properly distributed between the two groups

Answer:

B. The peppers with different weights aren't properly distributed between the two groups.

What is a mean?

A quantity having a value intermediate between the values of other quantities; an average, especially the arithmetic mean.

The considerable discrepancies in the means of each group imply that: B. the peppers with varying weights are not adequately divided across the two groups.

So in the given situation above in the question, it can be concluded that large differences of the means from each group indicates that the peppers that are not properly distributed between the 2 different groups have different weights.

College students (ages 18-26) tend to make decisions which are
tentative (more short-range) and support a desire for autonomy.
a result of a greater sense of commitment and stability.
more permanent choices.

Answers

College students (ages 18-26) tend to make decisions that are tentative (more short-range) and support a desire for autonomy. This depicts more permanent choices.

How to illustrate the information?

It should be noted that values are a compass that helps us make decisions and choices.

Choices characterize the stage of life we are in. For example 18-26 ages tend to make tentative choices, later 27-31 ages tend to make permanent choices, and ages 32-42 people make stable choices.

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4. You must make 3000 bags of product for a customer by 5 pm. You started work at 7 am today. By 9 am you have
made 500 bags. If you continue at this pace with no interruptions or machine issues, what percent (%) of 3000
will be complete by 11 am?

Answers

Answer:

33.33%

Step-by-step explanation:

from 7 to 9 it's 2 hours and you make 500
and 7 to 11 is 4 hours so you make 1000
then do 1000/3000 to find the percentage you have made
1000/3000 is 33.3333333333...% (the 3333.... never ends)

The answer is 33.33%

I need to make sure I do this right

Answers

D. (x-8)(x+7)
x^2+7x-8x-56

The Wilson family had 5 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wilson family had

at least 3 girls?

at most 3 girls?

Answers

The expression represents the probability of getting exactly 3 heads is,

[tex]C(n,r)(0.5)^3(0.5)^6[/tex]

We have given

Aron flips a penny 9 times.

We have to determine

Which expression represents the probability of getting exactly 3 heads

What is binomial distribution?

The binomial distribution is determined as the probability of mass or discrete random variable which yields exactly some values.

The binomial probability formula shown has variables that represent:

[tex]=C\left(n,r\right)\times \left(p\right)^r\times\:\left(1-p\right)^{n-r}[/tex]

Where n is the total number of trials (here, we flip penny 9 times, hence n = 9).

r is the number we want to find (here, we want the probability of 3 heads, so r = 3).

p is the probability of success (here, success means getting heads.

So, in a coin flip the probability of heads is always 1/2, so p = 1/2).

Therefore, The expression represents the probability of getting exactly 3 heads is;

[tex]=C\left(n,r\right)\times \left(p\right)^r\times\:\left(1-p\right)^{n-r}[/tex]

[tex]=C\left(9,3\right)\times \left(0.5\right)^3\times \:\left(0.5\right)^6[/tex]

Hence, the expression represents the probability of getting exactly 3 heads is [tex]C\left(9,3\right)\times \left(0.5\right)^3\times \:\left(0.5\right)^6[/tex].

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The probability that the Wilson family had at least 3 girls is 0.5, while the probability that Wilson family had at most 3 girls is 0.8125.

What is Binomial distribution?

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Given the probability of a child being girl is 0.5, therefore, the probability of a child being boy is 0.5. Now, the probability of at least 3 girls out of 5 is,

Probability (x≥3)

= ⁵C₃ (0.5)³(0.5)² + ⁵C₄ (0.5)⁴(0.5)¹ + ⁵C₅(0.5)⁵(0.5)⁰

= 0.5

Probability (x≤3)

= ⁵C₃ (0.5)³(0.5)² + ⁵C₂(0.5)²(0.5)³ + ⁵C₁(0.5)¹(0.5)⁴ + ⁵C₀(0.5)⁰(0.5)⁵

= 0.8125

Hence, the probability that the Wilson family had at least 3 girls is 0.5, while the probability that Wilson family had at most 3 girls is 0.8125.

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Describe the change in the graph of the parabola f(x) when it transforms into g(x) =
The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Answers

Answer:

  (d)  The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

We assume you intend ...

  f(x) = equation of a parabola

  g(x) = 2/3·f(x)

Multiplying a function by a factor of 2/3 will cause it to be compressed vertically to 2/3 of its original height. When the function is a parabola, this has the effect of making it appear wider than before the compression.

__

The compression factor is positive, so points on the graph remain on the same side of the x-axis. The direction in which the graph opens is not changed.

The attachment shows parabolas that open upward and downward, along with the transformed version.

Answer:

D.)  The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

I got it right on the test :)

stay hydrated.

Use two different methods to find an explain the formula for the area of a trapezoid that has parallel sides of length a and B and height H. Consider these ideas or others: combine two copies of a trapezoid to make a parallelogram. Subdivide the trapezoid into two triangles one with base b and one with base a.

Answers

Answer:

Formula of Trapezoid:

A = (a + b) × h / 2

The formula can be derived in different ways. for now, we have discussed two ways:

1. By using the formula of a triangle

2. By dividing into different sections

Step-by-step explanation:

1. By using the formula of a triangle

One of the ways to explain a formula for an area of a trapezoid using a formula for a triangle can be as follows.

Assume a trapezoid PQRS with lower base SR and upper base PQ (they are parallel) and sides PS and QR.

The image is attached below.

Connect vertices P and R with a diagonal.

Consider triangle ΔPQR as having a base PQ and an altitude from vertex R down to point M on base PQ (RM⊥PQ).

Its area is

S1=[tex]\frac{1}{2} *PQ*RM[/tex]

Consider triangle ΔPRS as having a base SR and an altitude from vertex P up to point N on-base SR (PN⊥SR).

Its area is

S2=[tex]\frac{1}{2} *SR*PN[/tex]

Altitudes RM and PN are equal and constitute the distance between two parallel bases PQ and SR.

They both are equal to the altitude of the trapezoid h.

Therefore, we can represent areas of our two triangles as

S1=[tex]\frac{1}{2}*PQ*h[/tex]

S2=[tex]\frac{1}{2}*SR*h[/tex]

Adding them together, we get the area of the whole trapezoid:

S=S1+S2=[tex]\frac{1}{2} (PQ+SR)h,[/tex]

which is usually represented in words as "half-sum of the bases times the altitude".

2. By dividing into different sections

Trapezoid PQRS is shown below, with PQ parallel to RS.

Figure 1 - Trapezoid PQRS with PQ parallel to RS(image is attached below.)

We are going to derive the area of a trapezoid by dividing it into different sections.

If we drop another line from Q, then we will have two altitudes namely PT and QU.

Figure 2 - Trapezoid PQRS divided into two triangles and a rectangle. (image is attached below.)

From Figure 2, it is clear that Area of PQRS = Area of PST + Area of PQUT + Area of QRU. We have learned that the area of a triangle is the product of its base and altitude divided by 2, and the area of a rectangle is the product of its length and width. Hence, we can easily compute the area of PQRS. It is clear that

=> [tex]A_{PQRS} = (\frac{ah}{2}) + b_{1}h + \frac{ch}{2}[/tex]

Simplifying, we have

=>[tex]A= \frac{ah+2b_{1+C} }{2}[/tex]

Factoring we have,

=> [tex]A_{PQRS} = (a+ 2b_{1} + c)\frac{h}{2} \\= > {(a+ b_{1} + c) + b_{1} }\frac{h}{2}[/tex]

 But, [tex]a+ b_{1} + c[/tex]  is equal to [tex]b_{2}[/tex], the longer base of our trapezoid.

Hence, [tex]A_{PQRS}= (b_{1} + b_{2} )\frac{h}{2}[/tex]

We have discussed two ways by which we can derive area of a trapezoid.

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3 is less than w and 9 is greater than w

Answers

The complete question is

"Write the inequality when 3 is less than w and 9 is greater than w."

The inequality become as 3 < w < 9.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given information ;

when 3 is less than w and 9 is greater than w.

Thus, the inequality will be ;

3 < w < 9

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2, 9, 11, 18, 20, 27,
the next 3 numbers.

Answers

Answer:

29, 36, 38

Step-by-step explanation:

The pattern is add 7 then 2, then 7, then 2, then 7, then 2. You should get the hang of it. All you have to do is just do the same thing for the next three numbers.

The depth of a certain part of the Earth's seabed is 36,024 feet. How deep is it in (a) fathoms? (b) leagues (marine)?

Answers

The depth of the sea bed is 5104 fathom and 1.986 league

What is a Seabed ?

The bottom of an ocean , the ocean floor is called Seabed .

It is given that

The depth of a certain part of the Earth's seabed is 36,024 feet

The depth in fathom is given by =  depth in feet / 6

The depth in fathom is = 36024 / 6

= 5104 fathom

1 league = 6046.1 * 3 feet = 18138.1 feet

The depth in League (marine) = Depth in feet / 18138.1

The depth in League (marine) = 36024/18138.1

= 1.986 league

Therefore the depth of the sea bed is 5104 fathom and 1.986 league.

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Need help ASAP!! Will give Brainliest

Answers

Answer:

B

Step-by-step explanation:

Please answer all three of the questions <3

Answers

Answer:

1) D because the answer to 8.42*10^3=8420

and 8420 lies between 8400 and 8500

2) C because when you take the absolute value of -2.3 and -3.2, they become positive numbers => 2.3 < 3.2

3)D because 6 < 6.3 < 6.6

Hope it helps!

Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid.

She placed the first cup in refrigerator A. The temperature, in degrees Fahrenheit, of the liquid in this cup, after x minutes in the refrigerator, is represented by the graphed function.She placed the second cup in refrigerator B. The temperature, in degrees Fahrenheit, of the liquid in this cup is represented by an exponential function that has a y-intercept of 96 and approaches 38 as x increases.

Answers

The answers are

1). warmer

2). higher

3). end behavior

What is Refrigerator?

A refrigerator is a device which is designed to remove heat from a space that is at lower temperature than its surroundings.

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end behavior of the two functions implies that refrigerator A is set to a higher temperature than refrigerator B.

The graph for the question given below.

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Consider the proof.

Given: In △ABC, BD ⊥ AC
Prove: the formula for the law of cosines, a2 = b2 + c2 – 2bccos(A)

Triangle A B C is shown. A perpendicular bisector is drawn from point B to point D on side A C. The length of B C is a, the length of D C is b minus x, the length of A D is x, the length of A B is c, and the length of B D is h.




Statement

Reason
1. In △ABC, BD ⊥ AC 1. given
2. In △ADB, c2 = x2 + h2 2. Pythagorean thm.
3. In △BDC, a2 = (b – x)2 + h2 3. Pythagorean thm.
4. a2 = b2 – 2bx + x2 + h2 4. prop. of multiplication
5. a2 = b2 – 2bx + c2 5. substitution
6. In △ADB, cos(A) = StartFraction x Over c EndFraction 6. def. cosine
7. ccos(A) = x 7. mult. prop. of equality
8. a2 = b2 – 2bccos(A) + c2 8. ?
9. a2 = b2 + c2 – 2bccos(A) 9. commutative property
What is the missing reason in Step 8?

Pythagorean theorem
definition of cosine
substitution
properties of multiplication

Answers

The missing reason in Step 8 is substitution

When a triangle is not a right triangle and when either the lengths of two sides and the measurement of the included angle are known (SAS) or the lengths of the three sides are known (SSS), the Law of Cosines is used to discover the remaining pieces of the triangle.

According to the law of cosine, if a, b, and c are any triangle's three sides, then a² = b² + c² - 2bcosa

The x in statement 5 of the preceding proof is changed to c cos A from statement 6 in statement 8 of the proof.

Option C, from the list of alternatives, is the one that best explains statement 8.

Hence  missing reason in Step 8 is substitution

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Answer: OPTION C

Step-by-step explanation:

EDGE22

True or False? A corollary is a statement that can be easily proved by using theorem.

Answers

Corollary - It is a theorem in geometry that the angles opposite two congruent sides of a triangle are also congruent. So I’d say true

What is the slope of the following graph? (write your answer as a fraction unless divided by 1. Do not use spaces in your answer)

Answers

The slope of the graph is 4/5

How to determine the slope

Using the formula

Slope = Δ y-axis / Δ x- axis

y2 = -4

y1 = 0

x2 = -5

x1 = 0

Slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Substitute the values into the formula

Slope = [tex]\frac{-4 - 0}{- 5 - 0}[/tex]

Slope = [tex]\frac{-4}{-5}[/tex]

Slope = [tex]\frac{4}{5}[/tex]

Therefore, the slope of the graph is 4/5

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1 If the population of a town increases by 280 people per year, then the growth is LINEAR (or constant). If the population in 2022 is 120,500, then what will the population be in 2023?

Answers

The population in the year 2023 is 120,780.

The growth is linear hence, the equation of the growth is
y=ax+b where b represents the initial population and a is the number of people growing yearly.

So, according to the question statement, we have that

y=280x+b where x is the number of years past and y is the population in the xth year.

According to the given problem population in 2022 will be 120,500.

Suppose that the initial population is taken at 2000.

Hence, 120,500=280×(2022-2000)+b

⇒b=120,500-280×22

⇒b=120,500-6,160

    =114,340

So, the Linear equation becomes

y=280x+114,340

⇒y=280×(2023-2000)+114,340

⇒y=120,780

Hence, the population in the year 2023 is 120,780.

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A uniform density curve goes from negative 5 to positive 1.

What would the height need to be for this curve to be a density curve?

Negative one-sixth

One-sixth

One-fifth

1

Picture posted below

Answers

Answer: Choice B) One-sixth

In other words, the fraction 1/6

===========================================================

Explanation:

The base, aka horizontal component, is 6 units long. Count out the spaces from -5 to 1 to get a result of 6.

Or you could subtract and use absolute value in either of these two ways

|A - B| = |-5 - 1| = |-6| = 6|B - A| = |1 - (-5)| = |1 + 5| = |6| = 6

Where A = -5 and B = 1 are the endpoints mentioned. Absolute value is used to ensure the result of the subtraction isn't negative. Negative distance on a number line doesn't make sense.

----------

However you determine the base, we'll multiply it by the unknown height which we'll call h. This leads to the area of the rectangle. The area is 6h.

Rule: The area under a probability density curve must always be 1.

So the area 6h must be 1 which helps us see that...

6h = 1

h = 1/6

Divide both sides by 6 to isolate h fully.

Answer:

B

Step-by-step explanation:

PLEASE HELP!!
Write Y=x^2+4x+3 in standard form

Answers

Answer:

already in standard form

Step-by-step explanation:

the equation of a quadratic in standard form is

y = ax² + bx + c ( a ≠ 0 )

y = x² + 4x + 3 ← is in standard form

with a = 1 , b = 4 , c = 3

2. (06.03)
What is the solution to the following system of equations? (2 points)
y = -x2 – 5x − 4
y = -x² + 9x - 18
O (-1,-10)
O (1,-10)
O (-1,10)
(1.10)

Answers

Answer: (1, -10)

Step-by-step explanation:

Since both of the equations are set equal to y, we can conclude that:

[tex]-x^2 -5x-4=-x^2 + 9x-18\\\\-5x-4=9x-18\\ \\ -14x-4=-18\\\\-14x=-14\\\\x=1[/tex]

If x=1, then [tex]y=-(1)^{2}+9(1)-18=-10[/tex]

Thus, the solution is (1, -10)

Acontinous random variable X has a pdf given by p(x) = (5x4 0≤x≤1 0, otherwise) Let Y=X3. Find the probability distribution function ​

Answers

I'll use the method of transformations.

If [tex]f_X(x)[/tex] denotes the PDF of [tex]X[/tex], and [tex]y=g(x)=x^3 \iff x=g^{-1}(y) = y^{1/3}[/tex], we have

[tex]f_Y(y) = f_X\left(g^{-1}(y)\right) \left|\dfrac{dg^{-1}}{dy}\right|[/tex]

[tex]\dfrac{dg^{-1}}{dy} = \dfrac13 y^{-2/3}[/tex]

[tex]\implies f_Y(y) = f_X\left(y^{1/3}\right) \left|\dfrac13 y^{-2/3}\right| = \boxed{\begin{cases} \dfrac53 y^{2/3} & \text{if } 0 \le y \le 1 \\ 0 & \text{otherwise} \end{cases}}[/tex]

Select the correct answer from each drop-down menu.

Need helpp
(1st image of dropdown menu is the drop down menu on top an the second image is the second dropdown menu beneath it)

Answers

Triangle ABC and triangle XYZ are similar based on angle-side-angle criterion.

Triangle ABC and triangle RQP are similar based on side-angle-side criterion.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.

Triangle ABC and triangle XYZ are similar based on angle-side-angle criterion.

Triangle ABC and triangle RQP are similar based on side-angle-side criterion.

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If anyone can help me to solve this.​

Answers

Answer:

[tex]\large \boxed{ \tt{y = - 2x + 5}}[/tex]

Step-by-step explanation:

From the y-intercept og [tex][0,5][/tex], travel five unit south over two unit east. Doing so will get yoy to the endpoint of [tex][1,3][/tex], which tells you that the rate of change is [tex] - 2[/tex], Therefore, your equation, in Solpe Intercept Form , is [tex]y = - 2x + 5[/tex]

[tex] \\ [/tex]

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[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]

[tex]\leadsto[/tex] Using the slope-intercept form:

▪ [tex] \bold{y = mx + b}[/tex]

▪ [tex] \bold{y = mx + 5}[/tex]

Finally, we are going to use any point of the line. In this case, I am going to take the point (2, 1). Substituting,

[tex] \sf \longrightarrow{1 =m*2+5}[/tex]

[tex] \sf \longrightarrow{1 - 5 = 2m}[/tex]

[tex] \sf \longrightarrow{ m= - \dfrac{4}{2} = - 4 }[/tex]

[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]

The equation of the line is:

[tex]\large\boxed{\sf y = 2x + 5}[/tex]

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