task 13: are the expressions equivalent? Simplify to prove, if the two expressions are not equal write the correct equivalence. #5: x(x+y+2) and x²+xy+2x #6: 2x(x+3) and 2x+6 distribute the following. 1. 3(x+2) 2. 4(y-1) 3. x(x+6) 4. x(y+4) 5. 3x(x+y-1)​

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Answer 1

Answer:

Step-by-step explanation: watch the video


Related Questions

Please help as I am confused

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The region common  to both the graphs as shown is the solution set.

What are the system of equations?

A system of equations is a collection of two or more equations with a same set of unknowns

Given are the following  quadratic inequalities -

x² - 6x - 7 < 0

3x² - 28x + 32 ≤ 0

We have the following quadratic inequalities -

x² - 6x - 7 < 0

3x² - 28x + 32 ≤ 0

We will plot both of them. The common region be the possible set of solutions to the given inequalities. Refer to the graph attached. The region common to both the graphs is the solution set.

Therefore, the region common  to both the graphs as shown is the solution set.

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Pls help and answer all questions I will give brainly for whoever answers are correct!.

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Answer:

x=-5/2

Step-by-step explanation:

x=-5/2

Answer:

12x+4=20x+24

Add negative 4 to both sides

6x+9=4x-3

Add -9 to both sides

-5x/4=4 Multiply both sides by 04

-4(5x-7)=-18 Distribute -4 on the left side

Step-by-step explanation:

12x+4=20x+24

Add negative 4 to both sides

6x+9=4x-3

Add -9 to both sides

-5x/4=4 Multiply both sides by 04

-4(5x-7)=-18 Distribute -4 on the left side

A 145-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire needed. (Round your answer to the nearest foot.)

Answers

By apply the law of cosine, the shortest length of wire needed is 180 feet.

How to determine the shortest length of wire needed?

In order to determine the shortest length of wire needed, we would apply the law of cosine because a mental image of the scenario described produces a right-angled triangle.

In Trigonometry, law of cosine (cos) is given by this mathematical expression:

C² = A² + D² - 2(A)(D)cosD

Note: Angle D = 90° + 32° = 122°

Substituting the given parameters into the formula, we have;

C² = 55² + 145² - 2(55)(145)cos122°

C² = 3,025 + 21,025 - 2(7,975)(-0.5299)

C² = 24,050 - (-8,451.905)

C² = 24,050 + 8,451.905

C² = 32,501.905

C = √32,501.905

C = 180.28 ≈ 180 feet.

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can somone help will mark u brainliest

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3 + 1/n and q^1/2 + 5 are not polynomials. A variable with an exponent that does not simplify to a whole number cannot be a polynomial, and variables with negative exponents cannot be polynomials either. A term with division by a variable is equal to a variable with a negative exponent.

Solve using method of elimination (full working out step by step)
-4x + 3y = 31
4x- y = -21

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Answer:

answer in the picture step by step

Help Please!

Solve the inequality and graph it’s solution.

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Answer:

  A)  n > 0

Step-by-step explanation:

You want the solution and graph for -8n +18 > -6(3n -3).

Solution

Eliminating parentheses, we have ...

  -8n +18 > -18n +18

Subtracting 18 gives ...

  -8n > -18n

Adding 18n, we have ...

  10n > 0

Finally, dividing by 10 gives ...

  n > 0

The graph is attached.

these researchers said the differences were statistically significant. explain what that means in context.

Answers

A statistically significant finding indicates that it is unlikely to just be explained purely by chance or random influences.

Define the term statistically significant?

The notion that a set given observed data is not the result of random but can instead be linked to a specific cause is referred to as statistical significance.

A high level of statistical significance signifies that the observed link is unlikely to be coincidental.The calculation for statistical significance is prone to some inaccuracy.When researchers do not utilize precise wording when describing their findings, statistical significance could be misconstrued.Depending on the research, many sorts of significance tests are being used.

Statistical significance indicates that a result is unlikely to be attributed purely by chance and random causes.

Thus, in other words, if there is no genuine effect in a research study, a statistically significant conclusion has an extremely low likelihood of occuring.

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a sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. in a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds. conduct the appropriate hypothesis test using a 0.01 level of significance. a) what are the appropriate null and alternative hypotheses?

Answers

We accept the null hypothesis, according to which the average amount of trash per bin is equal to 50.

Hypothesis.Though there is not so much information, but the fact that $700 is an average. We can work with two hypothesis at first, he first Hypothesis before the downturn the rent are over $700. And the second one, the bedroom rent are under $700.Graphically, the shaded area before the downturn, represents the set of values for Rents greater than $700. So, rent (y) > 700) Graphically, the shaded area after the downturn, represents the set of values for Rents lesser than $700. So, rent 700 <y<0A hypothesis is an educated prediction regarding the solution to a scientific question that is supported by sound reasoning. It is the expected result of the experiment, however it is not proof in an experiment.Depending on the information received, it might be supported or might not be supported at all.

acc to our question-

A sanitation supervisor is interested in testing o see if the mean amount of garbage per bin is different from 50.This means that the null hypothesis is:And the alternate hypothesis is:The test statistic is:In which X is the sample mean,  is the value tested at the null hypothesis,  is the standard deviation and n is the size of the sample.50 tested at the null hypothesis:This means that In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.This means that Value of the test statistic:p-value:Since we are testing if the mean is differente from a value and the z-score is positive, the pvalue is 2 multipled by 1 subtracted by the pvalue of z = 1.03z = 1.03 has a pvalue of 0.84851 - 0.8485 = 0.15152*0.1515 = 0.30300.3030 > 0.01, which means that we accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

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1. The distance between the points (5, 7) and (8,-5) is
a) √153
b) √154
c) √13
d) √53

Answers

The distance between the points (5, 7) and (8,-5) is √13.

Define distance between points.

The length of the path joining two points determines their distance from one another. It's crucial to know how to calculate the distance between two points when working with graphs. This makes it possible for a learner to estimate how long the line is, which is useful in a variety of circumstances. Using the distance formula is the most typical method of determining the distance.

Points (5, 7) and (8,-5)

Formula:

AB² = (x₂ - x₁)² + (y₂ + y₁)²

AB² = (8 - 5)² + (-5+7)²

AB² = (3)² +(2)²

AB² = 9 + 4

AB² = 13

AB = √13

The distance between the points (5, 7) and (8,-5) is √13.

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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The time taken to reach the maximum height is 1.25 seconds.

The maximum height is 32 feet.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

h(t) = -16t² + 40t + 7

Differentiating with respect to t.

h'(t) = -16 x 2t + 40

0 = -32t + 40

32t = 40

t = 40/32

t = 1.25

The maximum height.

h(t) = -16t² + 40t + 7

h(1.25):

= -16 x 1.25 x 1.25 + 40 x 1.25 + 7

= -25 + 50 + 7

= 32 feet

Thus,

The time taken to reach the maximum height is 1.25 seconds.

The maximum height is 32 feet.

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Help me plss!!!
Solve for x.
Question 6 options:

1)

32

2)

6

3)

63

4)

3

Answers

The value of angle with x, given the equation on the circle, is 4) 3.

How to find the value of x?

The angle is given by the expression:
31x + 3

The same angle is shown to be a right angle with the line EF being straight and therefore a right angle. Right angles have a total measure of 90 degrees.

The value of x can therefore be found by equating the expression to 90 degrees:
31x + 3 = 90

31 x = 90 - 3

x = 87 / 31

x = 2.8

x = 3

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ASAP!! Brainliest to first answer
3x - 2/3x = 14

Answers

The appropriate answer is
Firstly we go with BODMAS

2/3=0.6

3x-0.6x=2.4x

x=9/2.4=5.83 approximately 5.8

Please rate as the brainliest

Answer:

x = 6

Step-by-step explanation:

Given equation,

→ 3x - (2/3)x = 14

Now the value of x will be,

→ 3x - (2/3)x = 14

→ (9/3)x - (2/3)x = 14

→ ((9 - 2)/3)x = 14

→ (7/3)x = 14

→ 7x = 14 × 3

→ x = 42/7

→ [ x = 6 ]

Hence, the value of x is 6.

Shipping Company A charges $14 plus $2.25 a pound to ship overnight
packages. Shipping Company B charges $20 plus $1.50 a pound to ship
an overnight package. For what weight is the charge the same for the two
companies?

Answers

For 8 pounds of weight, the charges be the same for both the companies.

Given, that To ship an overnight package

Shipping Company A charges $14 plus $2.25 per pound

Shipping Company B charges $20 plus $1.50 per pound

Let, the weight be w

And the cost of shipment by company A & B be A(w) & B(w) respectively.

According to the question,

A(w) = 14 + 2.25w

B(w) = 20 + 1.50w

Now, when charges be the same

A(w) = B(w)

14 + 2.25w = 20 + 1.50w

On subtracting 1.50w on both the sides, we get

14 + 2.25w - 1.50w = 20 + 1.50w - 1.50w

14 + 0.75w = 20

Now on subtracting 14 on both the sides, we get

14 + 0.75w - 14 = 20 - 14

0.75w = 6

On dividing both the sides by 0.75, we get

0.75w/0.75 = 6/0.75

w = 8

Hence, weight = 8 pounds.

For 8 pounds of weight, the charges be the same for both the companies.

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cual es el interes que genera $600, colocados al 8% anual durante 1 año 4 meses?

Answers

The simple interest on the loan of $600 at rate of 8% over a time period of 16 months is $664 and the interest generated is $64

Simple Interest

The formula for simple interest helps you find the interest amount if the principal amount, rate of interest and time periods are given.

Simple interest formula is given as:

S.I = P(1 + rt)

S.I = Simple InterestP = principalr = rate t = time

Substituting the values into the formula

S.I = 600(1 + 0.08 * 16)

S.I = 664

The interest generated is $64

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Translation: What is the interest generated by $600, placed at 8% per year for 1 year 4 months?

Find the measurement of V.

Answers

Answer: 60 degrees

Step-by-step explanation: Because all sides are equilateral, and in an equilateral triangle all angles are 60 degrees, hope that helps.

Find the solution(s) of the system of equations:
y = x2 + 6x + 9
y = 2x + 6

Answers

Answer:

(-1,4) (-3,0)

picture below (im assuming you meant x^2.)

if you meant x2, please look at the second image

FIRST PHOTO = y=x^2 + 6x + 9 & y=2x+6

SECOND PHOTO = y=x2 + 6x + 9 & y=2x+6

help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!

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Answer:

see the attachment photo!

please solve the problem ​

Answers

The value of x in the remote angles of the triangle  is 22.

How to find external angle of a triangle?

The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.  

In other words the sum of the remote interior angle is equals to the external angle.

Therefore,

110 = 3x + 2x

110 = 5x

divide both sides by 5

110 / 5 = 5x / 5

x = 22

Therefore, using exterior angle theorem, the value of x is 22.

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(xy)7 (exponent 7)
—————————
(x²y³)²

please solve quickly!!
i have 2 answers i think it is ,, is it x3y or x6y6?

Answers

Answer: (X^3)*y

:) Hope this helps, I spent a lot of time on it!

A parabola can be drawn given a focus of (−3,−3) and a directrix of x=5. Write the equation of the parabola in any form.

Answers

Equation of the parabola with focus (-3,-3) and a directrix x=5 is given by x = (-1/16)(y² +6y -7).

As given in the question,

Focus of the parabola is equal to (-3, -3)

Directrix of the parabola is given by x = 5

Let (x, y) be the point on the parabola.

Distance between the (-3,-3) and (x, y) = Distance between (x, y) and x=5

⇒√(x +3)² + (y +3)² = | x -5|

⇒(x² +6x +9) +(y² + 6y +9) = (x-5)²

⇒x² +6x +y² +6y +18 = x² -10x +25

⇒y² +6y -7 = -16x

⇒x = (-1/16) (y² +6y -7) represents the equation of the parabola.

Therefore, equation of the parabola with focus (-3,-3) and a directrix x=5 is given by  x = (-1/16)(y² +6y -7).

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Ruth has 36 vases of flowers. Some of the vases contain 3 daisies. The other vases contain 4 lilacs. There are 125 flowers in the vases in total. How many vases of each type of flower does Ruth have?

Answers

Answer:

13 vases of lilacs23 vases of daisies

Step-by-step explanation:

You want to know the number of vases of each type of flower if there are 36 vases containing 125 flowers, with 3 daisies or 4 lilacs in a vase.

Setup

Let x and y represent daisy and lilac vases, respectively. The problem statement gives two relations:

  x +y = 36 . . . . . total number of vases

  3x +4y = 125 . . . total number of flowers

Solution

Substituting for x, we have ...

  x = 36 -y

  3(36 -y) +4y = 125

  108 +y = 125

  y = 13

  x = 36 -13 = 23

There are 23 vases of daisies and 13 vases of lilacs.

Help asap please
I don’t underddd

Answers

The correct answer is 36

Select the correct answer. Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina? A. The equation that represents this situation is t − 3 = 18. Tina is 21. B. The equation that represents this situation is t + 3 = 18. Tina is 15. C. The equation that represents this situation is 3 − t = 18. Tina is 21. D. The equation that represents this situation is -3 − t = 18. Tina is 15.

Answers

The equation that represents this situation is t − 3 = 18. Tina is 21. The correct option is A.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18.

The equation will be written as,

C = T - 3

18 = T-3

T = 18 + 3

T = 21 years

Therefore, the equation that represents this situation is t − 3 = 18. Tina is 21. The correct option is A.

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Add 7w-12 and -15w+60
Show your work

Answers

Answer:

Step-by-step explanation: 7w-12+(-15w+60)= 7w-12-15w-60= -8w-72

-8w-72 is the answer or -8(w+9) if you take out a -8

The required simplified solution of the sum of the expressions is -8w + 48

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To add 7w-12 and -15w+60
According to the question,
= 7w - 12 - 15w + 60
= 7w - 15w + 60 - 12
= -8w + 48

Thus, the required simplified solution of the sum of the expressions is -8w + 48

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3X + 2Y) (6X + 6Y) what is the answer

Answers

Answer:

18X^2 + 18XY + 12YX + 12Y^2

Step-by-step explanation:

you have to moltiplicate the first term with the other two and the same thing for the second term of the first moltiplication

Step-by-step explanation:

what is the question you need an answer for ?

I assume you only need the result of the multiplication of both terms.

remember, when multiplying summary terms, we need to multiply every part of one term with every part of the other term.

(3x + 2y)(6x + 6y) = 18x² + 18xy + 12xy + 12y² =

= 18x² + 30xy + 12y²

List all factors of the numerator and denominator. Use gcf method to simplify Creduce) each fraction. You must show work

Answers

The reduced fraction is 7 using GCF method.The GCF is also known as the Highest Common Factor (HCF)

What is GCF method?

The largest number, which is the factor of two or more number is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors which are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)

The fraction = 14/66

The factors of 14 = 2×2×2×3

The factors of 28 = 11*3*2

The gcf is 2 × 2 = 4

Divide the denominator and numerator by 4

14 ÷2 = 7

14÷ 2 = 7

We get,

The fraction = 14/2 =7

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Triangle QRS and its dimensions are shown.

s,. 6 centimeters,. 12 centimeters,. q,. 15 centimeters,. r,.

Which measurements in centimeters represent the dimensions of a triangle that is similar to triangle QRS?

Answers

The dimensions that represent a similar triangle to triangle QRS are given as follows:

B. 10 cm, 20 cm, 25 cm.

What are similar triangles?

Similar triangles are two triangles that have the same angle measures.

These triangles will also have proportional side lengths, because of the sine/cosine/tangent relations in a right triangle and the law of sines for non-right triangles.

In this problem, we want a triangle that is similar to a triangle with the dimensions presented as follows:

s,. 6 centimeters,. 12 centimeters,. q,. 15 centimeters,. r,.

Hence all these dimensions have to be multiplied by the same scale factor.

Then, option B is correct, as the ratios between the lengths are given as follows:

10/6 = 20/12 = 25/15 = 5/3.

Meaning that all sides were multiplied by 5/3.

Missing Information

The problem is given by the image at the end of the answer.

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Answer Answer is B, thank you, I just love to help.

Step-by-step explanation:

Estimate √700 to one decimal place.​

Answers

The answer would be 26.5

Answer:26.5

Step-by-step explanation:

need help please I cant find the answer

Answers

Answer:

6

1/3

Step-by-step explanation:

Similar triangles

The corresponding side on triangle A is 18 units

18 * 1/3 = 6

The side length of the missing side on B is 6 units

Side B                5

------       =    -----------   = 1/3

Side A              15

The ratio is 1/3

Answers:

question one:  6

question two: 1/3

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

Explanation:

The side 12 from triangle A corresponds to the side 4 from triangle B.

The scale factor is A/B = 4/12 = 1/3 which tells us that sides in triangle B are 1/3 as long compared to sides in triangle A. This takes care of the second question.

We'll use this scale factor to determine the missing side of triangle B.

The side 18 in triangle A corresponds to this missing side in triangle B.

Take 1/3 of 18 to get (1/3)*18 = 6 which is that missing side.

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

Another way to look at it: Take any side of triangle B, triple it, and you'll get a corresponding side of triangle A.

Example: The jump from 5 to 15 is "times 3".

new york city is the most expensive city in the united states for lodging. the mean hotel room rate is $204 per night. assume that the room rates are normally distributed with a standard deviation of $55. answers to 3 decimals. what is the probability of more than $225?

Answers

The probability of more than $225 is 0.35197.

Here we need to find the probability of more than $225.

We need to calculate the z-score associated with x = $225

Z(score) = 225 - 204 / 55

= 0.381818

z(score) = 0.38

For z = 0.38 the corresponding probability is P(z < 0.38) = 0.64803.

Here we have to find the values greater than this value:

P(z > 0.38) = 1 - P (z < 0.38)

P( z > 0.38) = 0.35197

So the probability that a hotel room costs 225 or more per night is P (x > 225) = 0.35197 and the percentage is 35.197%.

Therefore the probability is 0.35197.

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