Balance this equation:
H2 + Cl2- HCI

Answers

Answer 1
H2 + Cl2 => 2HCl

I would first list all the # of atoms of each molecule on the reactant side
(Remember that numbers on the right side of each element are the # of atoms in each unit particle).

H = 2
Cl = 2

Next, you want to match the number of atoms on the product. (Remember that the number on the left side of the unit particle shows the number of molecules of each unit particle. Also, the number applies to all the elements of the unit particle.

2HCl
Answer 2
Final answer:

The chemical reaction between hydrogen and chlorine to form hydrochloric acid is balanced as H2 + Cl2 -> 2HCI. This denotes one molecule of hydrogen and one molecule of chlorine reacting to produce two molecules of hydrochloric acid.

Explanation:

The equation presented in the question is H2 + Cl2 -> HCI. This is a chemical reaction in which hydrogen (H2) and Chlorine (Cl2) react to form hydrochloric acid (HCI). However, the equation is not balanced as it stands. Balancing a chemical equation involves ensuring that there are equal numbers of each type of atom on each side of the equation.

In this case, the balanced equation is: H2 + Cl2 -> 2HCI This means that one molecule of hydrogen and one molecule of chlorine react to form two molecules of hydrochloric acid.

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Related Questions

what is the independent variable?
a. bike A
b. bike B
c. time
d. distance ​

Answers

Answer:

c. time

Step-by-step explanation:

time is always the independent variable because you can't control it

The independent variable among the option is time.

What is an independent variables?

An independent variable is defines as the variable that is changed or controlled in a scientific experiment.

Independent variables are stand alone variables. They are not dependent on any other variables.

Therefore, time is usually controlled in any experiment. Therefore, time is the independent variables among the option.

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Complete the synthetic division problem below.

Answers

Answer:

B is the correct answer.

Step-by-step explanation:

Apex

Answer:

Quotient: [tex]2x^2-2x+2[/tex]

B is correct

Step-by-step explanation:

Given: The format of synthetic division.

We take first number at bottom row and multiply with -3, write the result below second number (4) and then simplify (4-6=-2)

Repeat the process at end.

At last we get 0 (Remainder)

Last number of last row shows remainder and rest are coefficient of quotient.

Synthetic Division: Please find attachment.

-3 | 2       4          -4         6 |

             -6           6        -6

     2      -2           2         0

last row : 2   -2    2  

Initially we had 4 terms ( three degree polynomial)

Quotient must have two degree polynomial.

Quotient: [tex]2x^2-2x+2[/tex]

If ab=9 centimeters and bc=12 centimeters which does ac equal

Answers

AC would be the sum of ab plus bc.

AC = 9 + 12 = 21

Answer:

A.

9 centimeters

B.

12 centimeters

C.

15 centimeters

D.

18 centimeters

heres the answer choices, i need this too!!

Step-by-step explanation:

Probability and Statistics
Which of these is an example of a continuous random variable?
A. Number of heads when you flip a coin 5 times
B. Number you roll on a die
C. Number of boys in a class
D. Height of 10-year-olds

Answers

A random variable can be either discrete or continuous. It is discrete it can assume only a finite number of values, or a countable infinity of values at most.

It is continuous if it can assume values in an interval, or in general, an uncountable infinity of values.

That being said, we have:

Option A is a discrete random variable, because the number of heads in 5 throws can be 0, 1, 2, 3, 4 or 5. So, we have finitely many possible values.

Option B is a discrete random variable, because the number you roll on a die is either1, 2, 3, 4, 5 or 6. So, we have finitely many possible values.

Option C is a discrete random variable, because if there are n students in a class, the number of boys is an integer between 0 and n. So, we have finitely many possible values.

Option D is finally a continuous random variable, because the height of a 10-year-old can be any number (in a suitable range of course).

Final answer:

The example of a continuous random variable is D. Height of 10-year-olds, as height is a measured quantity that can have various values on a continuous scale.

Explanation:

When considering which of these is an example of a continuous random variable, it is important to understand the difference between discrete and continuous random variables. A discrete random variable consists of countable values, such as the number of heads when flipping a coin, whereas a continuous random variable includes values that are measured on a continuous scale, such as weight or height. Therefore, the correct answer to the student's question is D. Height of 10-year-olds because height is measured rather than counted, and it can take on a theoretically infinite number of values within a range.

What is the measure of each interior angle of a regular 14-gon
PLEASE HELP ME SOLVE FOR QUESTIONS 7-8!

Answers

Hello!

The answers are:

Question 7:

154.29°

Question 8:

Yes, because the opposite sides are congruent.

Why?

For question 7:

We know that the sum of all interior angles of any polygon is determined by the following formula:

[tex]Angles=180*(sides-2)[/tex]

Therefore the sum of all interior angles of a 14-gon is equal to 2160°, so, the measure of each interior angle is given by the following calculation:

[tex]14-gon=(14-2)*180\°=2160\°[/tex]

Each interior angle is equal to:

[tex]\frac{2160\°}{12}=154.29\°[/tex]

For question 8:

We know that a quadrilateral is a parallelogram when the opposite sides are parallel or congruent.

From the statement we know that:

BE≅ED

and

AE≅EC

So, we can assume that the triangles formed by the sides BE and AE, and the sides EC and ED, are also congruent, meaning that the opposite sides BA and CD are congruent, so, the quadrilateral is a parallelogram.

Have a nice day!

simplify with foil (w + x )(w + x )

Answers

Foil is an acronym that stands for:

First

Outside

Inside

Last

First:

(w + x )(w + x ) = [tex]w^{2}[/tex]

Outside:

(w + x )(w + x ) = wx

Inside:

(w + x )(w + x ) = wx

Last:

(w + x )(w + x ) = [tex]x^{2}[/tex]

so...

[tex]w^{2}[/tex] + wx + wx + [tex]x^{2}[/tex]

[tex]w^{2} +x^{2} + 2xw[/tex]

Hope this helped!

Answer: [tex]x^2+2wx+w^2[/tex]

Step-by-step explanation:

Given the expression [tex](w + x )(w + x )[/tex] , which indicates the multiplication of two binomials, you can simplify it with FOIL:

Multiply:

The first terms (w by w).

The outside terms  (w by x).

The inside terms together (x by w).

The last terms together (x by x).

Then, you get:

[tex](w + x )(w + x )=(w)(w)+(w)(x)+(x)(w)+(x)(x)=w^2+wx+wx+x^2[/tex]

Adding like terms, you get:

[tex]x^2+2wx+w^2[/tex]

Please find which quadratic equation matches the graph with work attached

Answers

Answer:

C

Step-by-step explanation:

Firstly, we know that the function must be negative due to its shape. This means that the answer cannot be B

Next we can use the equation [tex]x=\frac{-b}{2a}[/tex] that is used in order to find the vertex of the parabola.

A)

[tex]f(x)=-x^2+6x+7\\a=-1,b=6,c=7\\\\x=\frac{-6}{-2} \\x=3[/tex]

As the vertex is at x=3 on the graph, this one could be a contender.

C)

[tex]f(x)=-x^2+6x-7\\a=-1,b=6, c=-7\\\\x=\frac{-6}{-2} \\\\x=3[/tex]

This also could be the equation

D)

[tex]f(x)=-x^2-6x-7\\\\a=-1, b=-6, c=-7\\\\x=\frac{6}{-2} \\\\x=-3[/tex]

This rules option D out.

For this last step, we can look at where the zeroes would be for each equation. (These values are irrational, so we cannot look at specific number)

A)

[tex]f(x)=-(x^2-6x-7)[/tex]

As this equation has a negative value for c, this means that one zero must be positive and the other must be negative.

This means that option A can be ruled out

C)

[tex]f(x)=-(x^2-6x+7)[/tex]

As this equation has a positive value for c, this means that both of the zeroes must be positive. This means that it is the only one that fits all of the criteria.

If Emma wants to leave a 16% tip for the waitress, how much money should she add to the total bill of $27.98? What is the total AFTER she adds the tip? (Please explain your answer)

Answers

Answer:

The answer is 32.45

Step-by-step explanation:

a cylindrical barrel has a height of 8 feet and a diameter of 6 feet. What is the approximate volume of the barrel

Answers

The Volume is approximately 226

To find the volume of the cylindrical barrel with a height of 8 feet and a diameter of 6 feet, use the formula V = πr²h where r is the radius and h is the height. The approximate volume is approximately 226.08 cubic feet.

The approximate volume of the cylindrical barrel can be calculated using the formula V = πr²h.

Given that the diameter is 6 feet, the radius (r) would be half of the diameter, which is 3 feet. The height (h) is 8 feet.

Substitute the values into the formula to find the volume: V ≈ 3.14 × (3)² × 8 ≈ 226.08 cubic feet.

HELP 100+ points

What is the length of the base of an isosceles triangle if the center of the inscribed circle divides the altitude to the base into the ratio of 12:5 (from the vertex to the base), and the length of a leg is 60 cm?

Answers

Calculate half the base by multiplying the length of a side ( 60 cm) by the fraction of the ratio from the base to the vertex ( 5/12).

Then multiply that by 2 for the width of the base.

60 x 5/12 = 300/12 = 25 cm.

Full width = 25 x 2 = 50 cm.

Answer:

Full width = 25 x 2 = 50

Apply the distributive property to simplify the expression. −9(−2x − 3)

Answers

Answer:

18x + 27

Step-by-step explanation:

Distribute

-9(-2x-3)

18x + 27

Solution

18x + 27

Answer:

18x + 27

Step-by-step explanation:

- (8) * - (5 ) is = + 40

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

-9( - 2x -3)

(-9*-2) + (-9*-3)

(18x )+(27)

18x + 27

Which linear inequality is represented by the graph?

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

The linear inequality is [tex]y > \cfrac 23 x+3[/tex], which is the third option.

Step-by-step explanation:

In order to determine the inequality, we need to first identify the line equation associated to it, to do that we can identify a couple of points and get the slope then the line equation.

Identifying points and finding slope.

From the segmented line we can tell that it crosses the points (0,3) and (3, 5), thus we can find the slope using

[tex]m = \cfrac{y_2-y_1}{x_2-x_1}[/tex]

Replacing the points we get

[tex]m= \cfrac{5-3}{3-0}[/tex]

[tex]m = \cfrac 23[/tex]

Writing the line equation.

Now that we have the slope m, and a point (0,3) we can find the line equation using,

[tex]y-y_1 = m(x-x_1)[/tex]

Replacing the point and slope we get

[tex]y-3 = \cfrac 23 (x-0)[/tex]

Simplifying and solving for y we get

[tex]y = \cfrac 23 x+3[/tex]

Writing the inequality.

Notice that the associated line is a segmented line, so the linear inequality does not contain it that is why we only need to use greater than or less symbols.

Then we can tell that the shaded area is above the segmented line so we can conclude that the linear inequality is

[tex]y > \cfrac 23 x+3[/tex],

And that is the third option.

3 -1 ___ 1/4 = < > help me

Answers

Answer:

3 -1 > 1/4

Step-by-step explanation:

On the left hand side we have the expression;

3 - 1

3- 1 = 2

On the right hand side we have the value;

1/4

Therefore we are comparing 2 and 1/4

Since 2 is greater than 1/4 we have;

2 > 1/4

3 -1 > 1/4

Solve the graph the inequality |4r -2| >8

Answers

Answer:

b.

Step-by-step explanation:

[tex]|4r-2|>8\iff4r-2>8\ \vee\ 4r-2<-8\qquad\text{add 2 to both sides}\\\\4r>10\ \vee\ 4r<-6\qquad\text{divide both sides by 4}\\\\r>\dfrac{10}{4}\ \vee\ r<\dfrac{-6}{4}\\\\r>\dfrac{5}{2}\ \vee\ r<-\dfrac{3}{2}\\\\r>2.5\ \vee\ r<-1.5[/tex]

<, > - open circle

≤, ≥ - closed circle

<, ≤ - line to the left

>, ≥ - line to the right

We want to know the probability that a student selected randomly from her class would have an “A” (90 or above) in her class. Find the probability. Explain HOW to find the probability

There are 91 students in the class and 35 students received a 90 or above.

Answers

Answer:

38.46%

Step-by-step explanation:

There are 91 students and 35 of them received a score of 90 or above.

So, there are 35/91 students with an A grade.

The probability to pick a random student that would be the same proportion that those who got the right score, so 35 / 91 = 0.3846 or 38.46%

38.46% of chances to pick someone who got an A (90 score or above), and, the opposite, 61.54% of chances to pick someone who didn't get an A.  That's a strong class!

Answer:

38.46% of the class received an "A"

Step-by-step explanation:

The Class has a total student count of 91 students. Out of those 91 students 35 of them received an "A" (90 or above). Meaning the percentage of students in the whole class who received a 90 or above is calculated by dividing the amount of students who received an "A" by the total amount of students in the class, as shown below.

[tex]\frac{35}{91} = 0.3846[/tex]

0.3846 * 100 = 38.46% ...... we multiply the decimal by 100 to get the percent

So 38.46% of the class received an "A"

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

pLEASE HELP!!! The stopping distance d of a car after the brakes are applied varies directly as the square of the speed r. If a car traveling 30 mph can stop in 50 ft, how many feet will it take the same car to stop when it is traveling 70 mph? (Round to the nearest integer as needed)

Answers

d ≅ 272ft. A car that is traveling at 70mph it will stop 272ft after the brakes are applied.

The key to solve this problem is using the equation d = k(r²), where d is the distance after the brakes are applied, k is the desaceleration constant and r is the speed of the car.

In order to maintain the consistency of the units, we have to convert mph to ft/s using the equation ft/s = mph x 1.467.

30mph x 1.467 ≅ 44ft/s

We know the speed of the car and the distance travelled after brakes are applied. The, clear k for the equation d = k(r²)

k = d/(r²)

Solving with d = 50ft and r = 44 ft/s

k = 50ft/(44ft/s)²= 0.0258 s²/ft

Then, is the same car now is traveling at 70mph, how many feet will it take to stop?

Convert 70mph to ft/s

70mph x 1.467 = 102.69ft/s

Using the equation d = k(r²), where k = 0.0258 s²/ft and r = 102.69ft/s

d = 0.0258s²/ft[(102.69ft/s)²] = 272.06ft

Given the function f(x)=x^4+3x^3-7x^2-27x-18 , factor completely

Answers

Answer:

(x - 3), (x + 2), (x + 1) and (x + 3)

Step-by-step explanation:

Using synthetic division, I'd begin by testing various factors of -18 to determine whether any of them will divide into f(x)=x^4+3x^3-7x^2-27x-18 with no remainder.  Note that possible factors of -18 are ±1, ±2, ±3, ±6, ±18.

Let's arbitrarily start with -3.  In synthetic division, will the divisor yield a zero remainder ( which would tell us that -3 is a root of f(x)=x^4+3x^3-7x^2-27x-18 and that (x + 3) is a factor)?

-3   )   1    3    -7    -27    -18

              -3    0      21    +18

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

         1      0    -7     -6      0  

Since the remainder is zero, -3 is a root and (x + 3) is a factor.  The coefficients of the quotient are shown above:  1  0  -7  -6.  Possible factors of 6 include ±1, ±2, ±3, ±6.  Arbitrarily choose 2.  Is this a root or not?

2    )    1     0     -7    -6

                 2     4     -6

      --------------------------

          1       2     -3    -12    

Here the remainder is not zero, so +2 is not a root and (x - 2) is not a factor.

Continuing to use synthetic division, I find that -1 is a root and (x + 1) is a factor, because the remainder of synth. div. is zero.  The coefficients of the quotient are 1, -1 and -6, which represents the quadratic y = x^2 - x - 6, whose factors are (x - 3)(x + 2).

Thus, the four factors of the original polynomial are (x - 3), (x + 2), (x + 1) and (x + 3).

The following table shows the number of police calls that were made last year in each of the cities in Hogdon County. If the mean of the data set is 273 calls, find the number of police calls in Thornbury.

Answers

Answer:

222 Calls

Step-by-step explanation:

We are given four values and the mean of the given data, so in order to find the fifth value, we will use the formula for mean. The formula for mean is:

Mean=(∑x)/n

Here n is the total number of values which is 5

Let x_5 be the number of calls for Thornbury

Putting the values of mean and the data given

273=(244+353+235+311+x_5)/5

273*5=1143+x_5

1365=1143+x_5

x_5=1365-1143

x_5=222 Calls

So the number of police calls in Thornbury is 222 ..  

Answer:

[tex]222[/tex]                                                              - written in [tex]2/24/2021[/tex]

Step-by-step explanation:

The answer is [tex]222[/tex] because...

First Step:

Multiply the mean by how many numbers in total there are, including the [tex]?[/tex] mark: [tex]273[/tex] * [tex]5=1365[/tex]

Second Step:

Add up all the numbers, not including the [tex]?[/tex] mark: [tex]244+353+235+311=1143[/tex]

Third Step:

Now subtract those numbers: [tex]1365-1143=222[/tex]

Fourth Step/Final answer:

Now we know that the answer is [tex]222[/tex]

A tree casts a shadow 15 feet long. At the same time, an 18-foot flag pole casts a shadow 10 feet long. How tall is the tree?

Answers

The tree is 27 feet tall. In order to find that out you know that because it is occurring at the same time of day, the two shadows are proportional to each other. Then set up two fractions like I did in the image and cross multiply to find x. Hope this helps!

It's in the picture ?

Answers

Answer:

4

Step-by-step explanation:

From first piece -6 < x ≤ 0.

From second piece 0 < x ≤ 4.

Therefore -6 < x ≤ 4 → x ∈ (-6, 4]

-7 ∉ (-6, 4]

-6 ∉ (-6, 4]

4 ∈ (-6, 4]

5 ∉ (-6, 4]

how many times greater is the value of 2 in270,413 than the value of the 2 in 419,427

Answers

Answer:

The value of 2 in 270,413 is 10,000x greater than the value of 2 in 419,427.

Step-by-step explanation:

The value of 2 in 270,413 is 200,000.

The value of 2 in 419,427 is 20

Divide the two numbers together to find your answer:

200,000/20 = 10,000

The value of 2 in 270,413 is 10,000x greater than the value of 2 in 419,427.

~

Hence ,value of 2  is [tex]10^{4}[/tex] time grater than value in 419,427

What is place value of a number ?

Place value of digit in number is  place at which it is placed .

How to solve?

Given

number one =  270413

Place value of 2= 200,000

number two =419,427

place value of 2= 20

Difference in place value of 2 in 200000 and 20 is of 2 x 10000

Hence  value of 2 is greater by [tex]10^{4}[/tex] in numbers .

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1. Write each problem on paper.
2. Write the expression.
3. Combine 'like terms' to write the standard form of the expression.
Then . . .
4. Match each expression to the standard form of the expression.
Question 1 options:
4x + 11
6x
-14x - 18
-3x + 2
-4x - 4
-8x + 9
MATCH.
1. Find the sum of -3x + 9x
2. Find the sum of -7x and 4x + 2
3. Find the difference when 6x is subtracted from 2x - 4
4. Find the difference when -3x - 7 is subtracted from x + 4
5. Find the result when 13x + 2 is subtracted from 11 + 5x
6. Find the result when -18x - 4 is added to 4x - 14

Answers

Answer:

1.  6x

2. -3x + 2

3. -4x - 4

4. 4x + 11

5. -8x + 9

6. -14x - 18

Step-by-step explanation:

1. Finding sum of -3x+9x

As both the terms have different signs, the terms will be subtracted and the sign in the answer will be of the larger terms (the term with greater coefficient)

So the answer of -3x+9x is 6x

2. Finding the sum of -7x and 4x + 2

For sum,

-7x + (4x+2)

= -7x + 4x + 2

= -3x + 2

3. Finding the difference when 6x is subtracted from 2x - 4

= 2x - 4 - (6x)

= 2x - 4 - 6x

= 2x - 6x - 4

= -4x - 4

4. Finding the difference when -3x - 7 is subtracted from x + 4

= (x+4) - (-3x-7)

= x + 4 + 3x + 7

= x + 3x + 4 + 7

= 4x + 11

5. Finding the result when 13x + 2 is subtracted from 11 + 5x

= (11 + 5x) - (13x + 2)

= 11 + 5x - 13x - 2

= 5x - 13x + 11 - 2

= -8x + 9

6. Finding the result when -18x - 4 is added to 4x - 14

= (4x - 14) + (-18x - 4)

= 4x - 14 - 18x -4

= 4x - 18x - 14 - 4

= -14x - 18

..

Shortly before the 1932 presidential election, a national magazine conducted a telephone survey of voters.Based on the results of the survey, the magazine predicted that Herbert Hoover (republican) would beat Franklin Roosevelt (Democrat) by a landslide

Answers

Wow that’s cool to know

Answer:

DATA GATHERING

Step-by-step explanation:

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.

legs: 10 in. and 30 in.


34 in.

31.6 in.

37.2 in.

28.3 in.

Answers

Answer:

The third side is approximately 31.6 inches long.

Step-by-step explanation:

When given the lengths of two sides of a right triangle, you can easily use Pythagorean Theorem (a2+b2=c2; a or b being the legs, c being the hypotenuse) to find the length of the third side. Since the legs (10 in. and 30 in.) are already given to us, we can simply insert the numbers into Pythagorean Theorem and solve for the third side! It should look a little something like this: 102+302=c2, then solve for the squares to get 100+900=c2, then add the two side lengths to get to 1,000=c2, then find the square root of both sides (now, since the c is already being squared, they will cancel out to just c, but you will get the actual square root of 1,000). Should all go well, you should get an answer of 31.6227766017, which just so happens to round out to 31.6. And with that, we have our final no-longer-missing side length of 31.6 inches.

Hope this helped!

Mary is going on a 3-day weekend. She got a special weekend rental deal for $101.99, with 200 free miles and $0.32 per mile after. If she drives 155 miles, what will she pay for the rental?

Answers

Answer:

$101.99

Step-by-step explanation:

She doesn't go over her 200 free miles.

Answer:

If she drives 155 miles, then the amount she need to pay for the rental is:

                          $ 101.99

Step-by-step explanation:

She got a special weekend rental deal for $101.99, with 200 free miles.

and $0.32 per mile after.

This means that for any mile covered less than or equal to 200 she just need to pay $ 101.99.

If she drives 155 miles, which is less than 200 miles then the amount she need to pay as a rent is:

             $ 101.99

What is the product of(5square root 5) (6square root 4)

Answers

Answer:

60√5

Step-by-step explanation:

(5√5)(6√4)

= (5√5)(12)

= 60√5

y Probability 10 0.10 20 0.25 30 0.05 40 0.30 50 0.20 60 0.10 The probability distribution of y, a discrete random variable, is given in the table. What is the expected value of y? A. 25.0 B. 26.5 C. 35.0 D. 35.5

Answers

Answer:

The answer is D.35.5 got it right on plato

Step-by-step explanation:

The expected value of the random variable y found from its given probability distribution is given by: Option D: 35.5

How to find the mean (expectation) and variance of a random variable?

Supposing that the considered random variable is discrete, we get:

[tex]\text{Mean} = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]

where [tex]x_i; \: \: i = 1,2, ... ,n[/tex] is its n data values

and [tex]f(x_i)[/tex] is the probability of [tex]X = x_i[/tex]

The probability distribution of Y is given as:

Y = y   f(y) = P(Y = y)

10            0.10

20           0.25

30           0.05

40           0.30

50           0.20

60           0.10

Thus, the expectation (also called expected value) of y is calculated as:

[tex]E(Y) = \sum_{\forall y_i} f(y_i)y_i \\\\E(Y) = 10 \times 0.1 + 20\times 0.25 + 30 \times 0.05 + 40 \times 0.3 + 50 \times 0.2 + 60 \times 0.1\\\\E(Y) = 1 + 5 + 1.5 + 12 + 10 + 6 = 35.5[/tex]

Thus, the expected value of the random variable y found from its given probability distribution is given by: Option D: 35.5

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If `f(x)=x^2-81` and `g(x)=(x-9)^(-1)(x+9)`, find `g(x)xxf(x)`.

Answers

Answer:

[tex] g ( x ) * f ( x ) = ( x + 9 ) ^ 2 [/tex]

Step-by-step explanation:

We are given the following two functions and we are to find [tex]g(x) * f(x)[/tex]:

[tex]f(x)=x2-81[/tex]

[tex]g(x)=(x - 9)^{-1} ( x + 9)[/tex]

[tex]g(x)*f(x)=x^{-81} * \frac{x+9}{x-9}[/tex]

[tex]g ( x ) * f ( x ) =\frac{(x+9)(x-9)(x+9)}{x-9}[/tex]

[tex] g ( x ) * f ( x ) = ( x + 9 ) ( x + 9 ) [/tex]

[tex]  g ( x ) * f ( x ) =( x + 9 ) ^ 2 [/tex]

For this case we have the following fusions:

[tex]f (x) = x ^ 2-81\\g (x) = (x-9) ^ {- 1} * (x + 9)[/tex]

We can rewrite g (x) as:

[tex]g (x) = \frac {(x + 9)} {(x-9)}[/tex]

According to the following power property:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Also:

If we factor f (x) we have:

[tex]f (x) = (x + 9) (x-9)[/tex]

We must find:

[tex]f (x) * g (x) = (x + 9) (x-9) * \frac {(x + 9)} {(x-9)}[/tex]

We simplify common terms in numerator and denominator:

[tex]f (x) * g (x) = (x + 9) ^ 2[/tex]

ANswer:

[tex]f (x) * g (x) = (x + 9) ^ 2[/tex]

What’s the distance between (-2,7) and (7,9)

Answers

Answer:

The distance is 9 (Sorry if i'm wrong)

Answer:

square root of 85

Step-by-step explanation:

(7+2)^2 + (9-7)^2

(9)^2+(2)^2

81+4

Square root of 85

A company conducted a survey to see wether its new toothpaste was more popular with children or adults. Of the children surveyed 28% use the toothpaste. Compare this what is the percent of adults who use toothpaste.

Answers

Answer:

C

Step-by-step explanation:

To find the percent of adults who use toothpaste, we divide the number of adults who use toothpaste by the total adults.

0.08/0.75

The answer is about 11 percent, so C is the true statement.

Answer:

C is right on Ap ex!

Step-by-step explanation:

That answer is right, I don't know why that person commented wrong, but they must have been doing a different question!

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