¿What are Equivalent Fractions?
50 points​

Answers

Answer 1

Answer:

Step-by-step explanation:

Equivalent fractions represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake.

Numeric Example= [tex]\frac{2}{2} =\frac{1}{1}[/tex]

Answer 2

[tex]{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}[/tex]

Equivalent Fractions have the same value, even though they look different.

Example :-

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt \dfrac{1}{2} = \dfrac{2}{4} = \dfrac{4}{8} }[/tex]

¿Why are they the same?

Because when you multiply or divide the numerator and denominator by the same amount, the fraction does NOT change.

Remember that :-

Remember that :- The multiplication and division that you apply in the numerator to e must repeat in the denominator.

That's why the fractions are really the same.

Watch the process ;

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt \boxed{ \tt \frac{1}{2} = \frac{2}{4} = \frac{4}{8} }[/tex]

That's multiplying

(Image 1)

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \tt\dfrac{18}{36} = \dfrac{6}{12 } = \dfrac{1}{2} }[/tex]

That's Division

(Image 2)

I hope I've helped : )

What Are Equivalent Fractions?50 Points
What Are Equivalent Fractions?50 Points

Related Questions

What is x/7 >= -6? Please Answer!

Answers

Step-by-step explanation:

x/7 ≥ -6

we rewrite it as :

x/7 = -6

by cross multiplication

x = -42

In order words:

x ≥ -42

Hope this helps

Good luck ✅

A basket of oranges has 10 fruits, of which 4 are bad. Three balls are drawn at random.a)Calculate the probability of getting 3 bad balls.b)Calculate the probability of getting 1 bad fruit.c)Calculate the probability of getting at least one bad fruit.d)Calculate the probability of getting the most 2 bad fruits

Answers

Using the hypergeometric distribution, the probabilities are given as follows:

a) 0.0333 = 3.33%.

b) 0.5 = 50%.

c) 0.8333 = 83.33%.

d) 0.9667 = 96.67%.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

The values of the parameters are:

N = 10, n = 3, k = 4.

Item a:


The probability is P(X = 3), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,10,3,4) = \frac{C_{4,3}C_{6,0}}{C_{10,3}} = 0.0333[/tex]

Item b:


The probability is P(X = 1), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 1) = h(1,10,3,4) = \frac{C_{4,1}C_{6,2}}{C_{10,3}} = 0.5[/tex]

Item c:

The probability is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,10,3,4) = \frac{C_{4,0}C_{6,3}}{C_{10,3}} = 0.1667[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1667 = 0.8333[/tex]

Item d:

The probability is:

[tex]P(X \leq 2) = 1 - P(X = 3)[/tex].

Considering item a:

[tex]P(X \leq 2) = 1 - P(X = 3) = 1 - 0.0333 = 0.9667[/tex]

More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394

#SPJ1

Let [tex]O[/tex] be the random variable for the number of bad oranges picked out. Then

[tex]P(O=o) = \dfrac{\dbinom6{3-o} \dbinom4o}{\dbinom{10}3}[/tex]

if [tex]o\in\{0,1,2,3\}[/tex] and zero otherwise, where

[tex]\dbinom nk = \dfrac{n!}{k!(n-k)!}[/tex]

is the so-called binomial coefficient.

(a) Of the 6 good oranges, you pick 0. Of the 3 bad oranges, you pick 3. Of the 10 total oranges, you pick 3. So the probability of picking out all bad oranges is

[tex]P(O=3) = \dfrac{\dbinom60 \dbinom43}{\dbinom{10}3} = \boxed{\dfrac1{30}}[/tex]

(b) By similar reasoning, the probability of drawing exactly 1 bad orange is

[tex]P(O=1) = \dfrac{\dbinom62 \dbinom41}{\dbinom{10}3} = \boxed{\dfrac12}[/tex]

(c) "At least 1 bad orange" means you pick out 1, 2, or 3 bad oranges. These events are mutually exclusive, and we already know the probabilities of picking out exactly 1 or all 3 bad oranges. The remaining probability of drawing 2 bad oranges is

[tex]P(O=2) = \dfrac{\dbinom61 \dbinom42}{\dbinom{10}3} = \dfrac3{10}[/tex]

so the overall probability of drawing at least 1 bad orange is

[tex]P(O\ge1) = P(O=1)+P(O=2)+P(O=3) =\dfrac1{30} + \dfrac3{10} + \dfrac12 = \boxed{\dfrac56}[/tex]

(d) I assume you mean "at most 2 bad oranges," meaning you pick out 0, 1, or 2 bad oranges. Again, these events are mutually exclusive, and the probability of picking out no bad oranges is

[tex]P(O=0) = \dfrac{\dbinom63 \dbinom40}{\dbinom{10}3} = \dfrac16[/tex]

hence the probability of drawings at most 2 bad oranges is

[tex]P(O\le2) = P(O=0) + P(O=1) + P(O=2) = \dfrac16 + \dfrac12 + \dfrac3{10} = \boxed{\dfrac{29}{30}}[/tex]

Evaluate: 216 1/2 Question 2 options: A) 9 B) 1 C) 6 D) -3

Answers

B is the answerr okkkkkkk
B, i just know, no context needed but whatever

Identify the key features of the following graph. If the Domain is all real numbers, type in "All Real" into the Domain box.

Answers

The key features of the graph are:

Vertex (-2, -1)Axis of symmetry x = -2y-intercept (0, 3)MinimumDomain, -∞ < x < ∞Range y > = -1

How to determine the key features?

The graph has a minimum value at (-2, -1)

This represents the vertex

The x coordinate of the vertex is the axis of symmetry.

So, we have

x = -2

The graph crosses the y-axis at (0, 3)

This represents the y-intercept

The graph opens up.

This means that the vertex is minimum.

The domain is the set of all real number, because the graph extends in both directions on the x-axis without end

While the range is y >= -1, because it has a minimum at this point

Read more about functions at:

https://brainly.com/question/3951754

#SPJ1

a) The difference between the circumference and the diameter of a circle is 90cmFind the radius of the circle​

Answers

Answer:

r=21.01 cm

Step-by-step explanation:

2r = diameter

Circumference of a circle = pi 2r

difference = 90

pi2r - 2r =90

 2r (pi-1) =90

90/(2(pi-1) = r = 21.01 cm

Which expression correctly represents “twice the sum of four and a number”?

Answers

Answer:

2 (4+x)

Step-by-step explanation:

4 + x     is  the sum of four and a number 'x'   now multiply by 2

2  ( 4+ x)

Sanjeet paid $32.85 for 1 file and 3 identical pens. Leon paid $83.50 for 2 files and 8 identical pens. Find the cost of one such pen

Answers

The cost of the file is $6.15 and the cost of the pen is $8.9

Solving word problems with systems of linear equations.

The interpretation of the given word problem leads to a system of linear equations.

From the given information:

Let the file be denoted with f and the pen be denoted with p

f + 3p = 32.85 --- (1)

2f + 8p = 83.5 --- (2)

From equation (1)

f = - 3p+32.85

Replace the value of f in the above equation into equation (2)

2(-3p + 32.85) + 8p = 83.5

2p + 65.7 = 83.5

2p = 83.5 -65.7

2p = 17.8

p = 17.8/2

p = 8.9

Replacing the value of p = 8.9 into f = - 3p+32.85

f = -3(8.9)+32.85

f = 6.15

Therefore, we can conclude that the cost of the file is $6.15 and the cost of the pen is $8.9.

Learn more about solving a system of linear equations here:

https://brainly.com/question/13729904

#SPJ1

Solve log 5x = 3
A)
B)
C)
D)

Answers

Answer:

200

Step-by-step explanation:

log a is the same thing as: [tex]log_{10}{a}=b[/tex] which can be rewritten as [tex]10^b=a[/tex] and in general logarithms are in the form [tex]log_ba=c[/tex] which can be written as [tex]b^c=a[/tex]

Rewrite into exponential form

[tex]10^3=5x[/tex]

Simplify exponent

[tex]1000=5x[/tex]

Divide by 5

x=200

Answer:

200

Step-by-step explanation:

I don't know if there are answer choices but the answer is 200

The height of a projectile launched upward at a speed of 25 meters/second from a height of 70 meters is given by the function h(t)=-5sup(t,2)+25t+70. How long will it take the projectile to hit the ground?

Answers

6.5 s  take the projectile to hit the ground.

What is projectile?

A projectile is any object thrown into space upon which the only acting force is gravity.

Given:

speed = 25 m/s

h(t) = -5t² + 25t  + 70

height = 70 m

Time to reach maximum height

( u sin90)/2g

= 25/2*9.8

= 1.275s

Max height = u²Sin²[tex]\theta[/tex]/g

=25*25/9.8

=63.775

So, total height=63.775 + 70 = 133.775 m

Now, time to fall back to the ground

h = ut+(1/2)gt²

t² = (h- ut)2/g

u=0

H= 133.775 m

(133.775*2)/9.8= t²

t² = 27.3010

t= 5.225 s

Total time taken to hit ground

= 5.225 + 1.275

= 6.5 s

Learn more about this concept here:

https://brainly.com/question/17096336

#SPJ1

Suppose that you and a friend are playing cards and decide to make a bet. If you draw two face cards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards replacing the first card, you win $50. Otherwise, you pay your friend $20. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.

Answers

The expected value of your bet will be the negative $16.27 that mean loses.

What is the binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

The expected value will be

E(X) = np

Suppose that you and a friend are playing cards and decide to make a bet.

If you draw two face cards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards replacing the first card, you win $50.

Otherwise, you pay your friend $20.

Then the probability of winning will be

p = (12 / 52)(12 / 52)

p = 9 / 169

Then the probability of loosing will be

q = 1 – p

q = 1 – 9/169

q = 160 / 169

Then the expected value will be

E(x) = (9/169) x 50 + (160/169) x (-20)

E(x) = -$16.27

Learn more about binomial distribution here:

https://brainly.com/question/13609688

#SPJ1

From the sample space S= (1, 2, 3, 4..., 15} a single number is to be selected at random. Given the following events, find the indicated probability. A: The selected number is even. B: The selected number is a multiple of 4. C: The selected number is a prime number. P(A and C) P(A and C) = (Simplify your answer. Type an integer or a fraction.)

Answers

Probability the selected number is even is 7/15

Probability the selected number is a multiple of 4 is 1/5

Probability the selected number is prime = 2/5

What is probability?

Probability is the likelihood of an event happening or an event not happening.

When it is certain an event would happen the probability is 1.

Probability can be independent or mutually exclusive.

Analysis:

Required outcome

A = {2, 4, 6, 8, 10, 12, 14} (even numbers)

Total entry = 7

Total Sample = 15

P(even numbers) = 7/15

B (multiples of 4) = {4, 8, 12}

Total entry = 3

P(B) = 3/15 = 1/5

C(prime numbers) = {2, 3, 5, 7, 11, 13}

Total entry = 6

P(C) = 6/15

P(A and C) = 0.

Learn more about probability: brainly.com/question/25870256

#SPJ1

Word Problem
(D) Joshua is going shopping for (E) paintings and (F) spoons. The cost of (E) painting is (B) 10$ and the cost of each (F) spoon is (A) 8$.
If (D) Joshua can spend at most (C) 100$, how many (F) spoons can be purchased?

3. Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.


4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

Answers

The number of spoons that can be purchased is 11, whereas the equation is given as 8x + 10 ≤ 100

What is an equation?

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

The cost of each spoon is $8, hence A = 8. The cost of painting is 10, hence B = 10. Joshua can spend at most 100$, C = 100

8x + 10 ≤ 100

x ≤ 11.25

The number of spoons that can be purchased is 11, whereas the equation is given as 8x + 10 ≤ 100

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

92 spoons can be purchased.

Step-by-step explanation:

10x + 8 ≤ 100

10x + 8 ≤ 100

8 - 8 10x 100 - 8

10x ≤ 92

x = 1/5

10 x 1/5 = 92.

<---------------------------------------------------------------------------------------------------------->

 <----------------------------------------------------0---------------------------- 92

9-22 Throughput costing (continuation of 9-21). The variable maufacturing costs per unit of Nascar Motors are as follows:

April May
Direct cost per unit $6,700 $6,700
Direct manufacturing labor cost per unit $1,500 $1,500
Manufacturing overhead cost per unit $1,800 $1,800

1. Prepare income statements for Nascar Motors in April and May 2017 under throughput costing.
2. Contrast the results in requirement 1 with those in requirement 1 of Exercise 9-21.
3. Give one motivation for Nascar Motors to adopt throughput costing.

Answers

The Income Statement for Nascar Motors in April and May 2017 under Throughput Costing is given as attached.

What is a throughput costing?

This refers a costing technique, also known as super-variable costing, which solely takes direct materials into account when calculating product costs.

The other expenses are all classed as period costs and are all deducted from income in the time period in which they are spent.

What is the Contrast between the results in requirement 1 with those in requirement 1 of Exercise 9-21?

It is to be noted that Throughput costing has the lowest operating income in April while having the greatest operating income in May.

More so than either absorption or variable costing, throughput costing emphasizes sales as the source of operational income. See the attached.

What is one motivation for Nascar Motors to adopt throughput costing?

It is to be noted that production that doesn't result in a commensurate sale in the same time period is penalized under throughput costing.

When compared to variable costing, costs that are variable with regard to production but are not direct materials are expensed in the period of incurrence.

In contrast to variable costing or absorption costing, throughput costing offers less of motivation to create inventory.

Learn more about throughput costing at:
https://brainly.com/question/15579189
#SPJ1

On a unit circle, the terminal point of 0 is (1, 0). What is tan ?

Answers

By using the definitions of unit circle and trigonometric functions, we find that the tangent of the terminal point of the angle is equal to 0.

How to find determine a trigonometric function associated with an unit circle

In trigonometry, an unit circle is a circle with a radius of 1 and used to determine the values of trigonometric functions. There are two fundamental trigonometric functions: (i) sine, (ii) cosine, and the tangent is a derivate trigonometric function, which is defined below:

tan θ = y/x     (1)

If we know that x = 1 and y = 0, then the tangent of the terminal point of angle is:

tan θ = 0/1

tan θ = 0

By using the definitions of unit circle and trigonometric functions, we find that the tangent of the terminal point of the angle is equal to 0.

To learn more on trigonometric functions: https://brainly.com/question/6904750

#SPJ1

Answer:

tan= 0

Step-by-step explanation:

^^^correct :)

Solve using the Quadratic Formula. 122+6−5=0

Answers

Step-by-step explanation:

You can't use quadratic formula in this

Answer two questions about Equations A and B:

A. 2x - 1 = 5x
B. - 1 = 3x

1) How can we get Equation B from Equation A?

Choose 1 answer:

A. Add/Subtract the same quantity to/from both sides
B. Add/Subtract a quantity to/from only one side
C. Rewrite one side (or both) by combining like terms
D. Rewrite one side (or both) using the distributive property

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?

Choose 1 answer:

A. Yes
B. No

Answers

1.  Rewrite one side (or both) by combining like terms. Option C

2. Yes, the equations are equivalent. Option A

Reasons for the answers

1.

Equation A ;  2x -1  = 5x

Equation B ; -1 = 3x

To get equation B from equation A

2x - 1 = 5x

Collect like terms

-1 = 5x -2x

Subtract the like terms

-1 = 3x

Thus, rewrite one side (or both) by combining like terms. Option C

2. 2x - 1 = 5x ...... equation A

Solution ;

2x -5x = 1

-3x = 1

x = -1/3

-1 = 3x

Solution;

x = -1/3

Thus, the equations are equivalent. Option A

Learn more about algebraic expressions here:

https://brainly.com/question/4541471

#SPJ1

The graph of the absolute value parent function, f(x) = Ixl, is stretched
horizontally by a factor of 5 to create the graph of g(x). What function is g(x)?

Answers

Answer: [tex]g(x)=\left|\frac{x}{5} \right|[/tex]

Step-by-step explanation:

See atached image.

rewrite y= 16x-32 -3 to make it easy to graph using a translation describe the graph

Answers

We can rewrite the given expression to:

[tex]4*\sqrt{x - 2} - 3[/tex]

So the correct option is the third one.

How to rewrite the expression?

Here we have the expression:

[tex]\sqrt{16x - 32} - 3[/tex]

Taking the 16 as a common factor inside the square root:

[tex]\sqrt{16*(x - 2)} - 3[/tex]

and 16 = 4², then:

[tex]\sqrt{16*(x - 2)} - 3 = \sqrt{4^2*(x - 2)} - 3\\\\4* \sqrt{(x - 2)} - 3[/tex]

Now, if the parent function is:

[tex]y = 4*\sqrt{x}[/tex]

Our function is the parent function translated 2 units to the right and 3 units down. The correct option is the third one

If you want to learn about translations:

https://brainly.com/question/24850937

#SPJ1

Select all the correct answers.
For which values is this expression undefined?
x-1/(x^2-2x-3) + 5/(2x^2+2x)

Answers

The answer choice which represents values for which the expression is undefined is; x = -1.

What value of x renders the expression undefined?

It follows from the task content that the expression in discuss is made up of 2 rational expressions and hence, the value of x which makes the expression undefined is -1 because, upon substitution, we have; (1/0) + (5/0); which yields undefined.

Read more on undefined rational expressions;

https://brainly.com/question/13464119

#SPJ1

Answer:

x= 3. x= 0, x= -1

Step-by-step explanation:

Correct on edmentum

QUESTION IS DOWN BELOW WORTH 30 POINTS

Answers

Answer:

40 yds^3

Step-by-step explanation:

The answer should be 40 yards if you added it all together at the end


What would be your weight on the Moon if your weight on Earth is 80 lbs?
6 times 80 lbs
one-sixth of 80. Four Times 80 lbs one-fourth of 80 lbs

Answers

Answer: 1/6 of 80
I hope this helps.

Can somebody walk me through this?
2 y + 14 = 6 ( 4 y + 1 )

Answers

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{y = 4/11}[/tex]

-------------------------------------------------------------------------------------------------------------

Given: [tex]\textsf{2y + 14 = 6(4y + 1)}[/tex]

Find:  [tex]\textsf{Solve for y}[/tex]

Solution:  In order to solve for y we need to distribute the ride side of the expression, simplify, subtract 14 from both sides, subtract 24y from both sides, and divide both sides by -22.

Distribute and simplify

[tex]\textsf{2y + 14 = (6 * 4y) + (6 * 1)}[/tex][tex]\textsf{2y + 14 = 24y + 6}[/tex]

Subtract 14 from both sides

[tex]\textsf{2y + 14 - 14 = 24y + 6 - 14}[/tex][tex]\textsf{2y = 24y + 6 - 14}[/tex][tex]\textsf{2y = 24y - 8}[/tex]

Subtract 24y from both sides

[tex]\textsf{2y - 24y = 24y - 24y - 8}[/tex][tex]\textsf{2y - 24y = -8}[/tex][tex]\textsf{-22y = -8}[/tex]

Divide both sides by -22

[tex]\textsf{-22y/-22 = -8/-22}[/tex][tex]\textsf{y = -8/-22}[/tex][tex]\textsf{y = 8/22}[/tex][tex]\textsf{y = 4/11}[/tex]

Therefore, the expression simplifies down to y = 4/11.

Find the outliers in the given data set below. 69, 16, 79, 80, 82

Answers

Answer:

16

Step-by-step explanation:

The outlier in the given dataset is "16".

Given is a data set 69, 16, 79, 80, 82, we need to determine the outliners of the set,

To identify outliers in a dataset, we generally use a statistical method such as the z-score or the IQR (interquartile range).

Since, the provided dataset is small with only five values, we can manually identify the outliers by observing the data.

An outlier is a value that significantly deviates from the rest of the dataset.

Let's examine the given dataset:

69, 16, 79, 80, 82

To identify outliers, we can consider any data points that are notably different from the others.

In this case, it seems that the value "16" is considerably lower than the other values.

Let's label it as a potential outlier.

Therefore, the outlier in the given dataset is "16".

Learn more about outliers click;

https://brainly.com/question/26958242

#SPJ4

HELP ASAP!!!!!!
Ken and Betty each write a proof of the statement: if m

Answers

The statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have Ken's statements are shown in the table:

Angle AOC = Angle BOD (given)

Angle AOB + Angle BOC = Angle BOC + Angle COD   (angle addition postulate)

Angle AOB = ANgle COD (subtraction property of equality)

Ken wrote direct proof using deductive evidence.

As we can in betty's proof:

Betty wrote an indirect proof using contradiction.

Thus, the statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ1

Please help!!! If the first 4 terms of a geometric sequence are...

Answers

Answer:

c.) aₙ = 5 × 4ⁿ⁻¹

Explanation:

Geometric sequence: aₙ = a(r)ⁿ⁻¹

where 'a' resembles first term of a sequence, 'r' is the common difference.

Here sequence: 5, 20, 80, 320,...

First term (a) = 5

Common difference (d) = second term ÷ first term = 20 ÷ 5 = 4

Hence putting into equation: aₙ = 5(4)ⁿ⁻¹

Draw the graphs of the lines below on the same grid to find the coordinates of the point of intersection.
y=3x−3 y=7−2x

Answers

The coordinates of the point of intersection of y=3x−3 and y=7−2x is (2, 3)

Graphing linear equations

From the question, we are to graph the given equations.

The graph of the equations is attached below.

In the graph, we can observe that the coordinates of the point of intersection of the is (2, 3)

Hence, the coordinates of the point of intersection of y=3x−3 and y=7−2x is (2, 3)

Learn more on Graphing linear equations here: https://brainly.com/question/21140690

#SPJ1

What is the quotient of
6/7 and 3/14 ?

Answers

Answer:

4/1 or 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex]\frac{\frac{6}{7} }{\frac{3}{14} } =\frac{(6)(14)}{(7)(3)} =\frac{84}{21} =4[/tex]

Hope this helps

LCM of 4x²-100 and 4x + 20​

Answers

LCM of 4x²-100 and 4x + 20 is 4(x+5)(x-5)

What is  Least Common Multiple?

Least Common Multiple is defined as the smallest number that is a multiple of two or more numbers.

We have to factorise 4x²-100 which is of the form A²-B²,

= (2x)² -(10)²

= (2x+10)(2x-10)

= 2×2(x+5)(x-5)

= 4(x+5)(x-5).

We have to factorise 4x + 20​

= 4(x+5)

LCM of 4x²-100 and 4x + 20 = 4(x+5)(x-5).

Hence, LCM of 4x²-100 and 4x + 20 is 4(x+5)(x-5)

Learn more about Least Common Multiple

https://brainly.com/question/11533141

#SPJ1

G.SRT.1 In the coordinate plane, quadrilateral ABCD has vertices A (1, 1), * 1 point B (5,1), C (5,9), and D (1, 9). Quadrilateral FGHJ is shown in the coordinate plane below. What are the scale factor and the center of dilation that map quadrilateral BCD onto quadrilateral FGHJ?

Answers

Based on the vertices of quadrilateral ABCD and Quadrilateral FGHJ, A. The scale factor is 1/2, and the center of dilation is point A.

What is the scale factor?

First, note the vertices of Quadrilateral FGHJ:

F(1,1)  G(3 ,1)  J (1 , 5)  H(3 , 5)

Find the lengths of the sides of both quadrilaterals:

FG = (3, 1) - (1, 1)                                      AB = (5,1) - (1, 1)  

= (2,0)                                                           = (4, 0)

FH = (3, 5) - (1, 1)                                      AC = (5,9) - (1, 1)  

= (2,4)                                                           = (4, 8)

AB is twice the size of FG.

AC is twice the size of FH

This shows that quadrilateral FGHJ is 1/2 the size of quadrilateral ABCD.

Find out more on dilation at https://brainly.com/question/10253650.

#SPJ1

+
Select the correct answer.
The parent function f(x)=√ is transformed to g(x)=2x-3). Which is the graph of g(x)?

Answers

The graph is in the attached image.

Other Questions
pls answerWhat claims are made for the product that is advertised? How is itsupposed to improve your life? 8.42 Three bags of jelly beans contain 26,28 , and 30 beans. In each bag, the percent of the beans that are yellow is 50%, 25%, and 20%, respectively. All three bags of candy are dumped into one bowl. What percent of the beans in the bowl are yellow? Round your answer to the nearest integer. Simplify the following expressions. which action is known to reduce speeding in teens Which of the following statements about maturity matching strategy is true? Group of answer choices All answeres are correct. All fixed assets are funded with long-term financing. As the level of sales varies seasonally, short-term borrowing fluctuates with the level of seasonal working capital. All seasonal working capital needs are funded with short-term borrowing. How will a closer analysis of the author's claim in the writing structure help you to learn more about your selected reading A/An ____________________ is a surgical procedure to correct myopia by making incisions in the cornea to cause it to flatten. Each container will be made of a material that costs $0.0015 per square inch. Explain how to determine the coat of each container. Then find the cost of Container b. Round to the nearest cent. 117 Mr. Turtle, Mrs. Squirrel and Ms. Pigeon work at the Magic Forest's post office. Mr. Turtle candeliver a package from the Southern Glade to the Northern Glade in 3 days, while Ms. Pigeon candeliver it in 30 minutes. How much time will the same job take Mrs. Squirrel, if the ratio of Mr.Turtle's time to the Mrs. Squirrel's time is the same as the ratio of Mrs. Squirrel's time to Ms.Pigeon's time? 3 multiply by what is equal to 30 plus what z-4/4+8= z + 9, z - 3, z - 7, z + 7 If a business has a net loss for a fiscal period, the journal entry to close the Income Summary account is: Why are Asteroids, Meteoroids and Comets known as Vagabonds? A rectangle has a length of (2.5 0.2) m and a width of (1.5 0.2) m. Calculate the area and the perimeter of the rectangle, and give the uncertainty in each value.(a)Calculate the area and give its uncertainty. (Enter your answers in m2.)(b)Calculate the perimeter of the rectangle and give its uncertainty. (Enter your answers in m.) A particle moves along line segments from the origin to the points (3, 0, 0), (3, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i + 5xyj + 2y2k. Find the work done. In the context of termination of an offer, ________ occurs when an offeror retracts the offer before the acceptance. Group of answer choices reversion rejection revocation rescission novation Under comparative principles, a plaintiff's contributory negligence Group of answer choices relieves a defendant from any liability for injury to the plaintiff. does not bar recovery. increases the amount of damages to be paid by a defendant. creates a case for only nominal recovery. leads to assumption of the risk. figure out and elucidate the most common national political economy system you are blaming me with no proof at all.(passive voice) DeMarino discovered that a new cardiac surgeon had arrived at the hospital and that a Medtronic competitor's contract was expiring. As one of the first steps, he began a process to acquire the business. This information gathering process is known as the ___________________.