Select the correct answer. For which quotient is x=7 an excluded value?

Answers

Answer 1

Answer:

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

Step-by-step explanation:

Given

See attachment

To answer this question, we start by equating the denominators of each option to 0; then, solve for x

(a):

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

This gives

[tex]\frac{7x}{x^2 - 10x + 21} * \frac{7}{x + 7}[/tex]

Set the denominator to 0

[tex](x^2 - 10x + 21)(x + 7) = 0[/tex]

Solve for x

[tex](x^2 - 7x - 3x + 21)(x + 7) = 0[/tex]

Factorize:

[tex](x(x - 7) - 3(x - 7))(x + 7) = 0[/tex]

[tex](x - 7)(x - 3)(x + 7) = 0[/tex]

This implies that:

[tex]x = 7\ or\ x = 3\ or\ x = -7[/tex]

From above, one of the values of x is 7.

This implies that x = 7 is an excluded value for this quotient.

Other options do not need to be checked, since there is only one answer.

Select The Correct Answer. For Which Quotient Is X=7 An Excluded Value?
Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

70 points !!! So try

Answers

Answer:

1/ 5²

Step-by-step explanation:

= 5³ × 1/5⁵

= 125 × 1/5⁵

= 125/3125

= 1/25 or 1 / 5²

The answer is
1/-5
I hope this help

PLEASE ANSWER THIS QUESTION RIGHT.The graph below shows the path of a golf ball after being hit.

Answers

Domain is the x value which is the left to right values.

The line starts at 0 and ends at 100

The domain would be 0 <= x <= 100

can someone pls help with this i’m so confused

Answers

Answer:

biggest size is 115 inches.

smallest size is 40 inches

Step-by-step explanation:

the biggest size will be

Tmax= 2(168)/3 + 3

= 115 inches..

the smallest size

Tmin= 168/4 - 2= 40 inches

The solution to -3x + 5x - 7 = -11 is _____.

Answers

Answer:

x = -2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

PLEASE HELP!!! (Thank you) :)

Answers

The answer is 26 divided by 2 witch is 13

Answer:

13

Step-by-step explanation:

(24 + 2) / 2

26/2

=13

6m – 3 = 5 – (m + 39.5)

What is the solution of the equation shown

Answers

Answer:

m= -4.5

Step-by-step explanation:

Let's solve your equation step-by-step.

6m−3=5−(m+39.5)

Step 1: Simplify both sides of the equation.

6m−3=5−(m+39.5)

6m−3=5+−1(m+39.5)(Distribute the Negative Sign)

6m−3=5+−1m+(−1)(39.5)

6m−3=5+−m+−39.5

6m+−3=5+−m+−39.5

6m−3=(−m)+(5+−39.5)(Combine Like Terms)

6m−3=−m+−34.5

6m−3=−m−34.5

Step 2: Add m to both sides.

6m−3+m=−m−34.5+m

7m−3=−34.5

Step 3: Add 3 to both sides.

7m−3+3=−34.5+3

7m=−31.5

Step 4: Divide both sides by 7.

7m

7

=

−31.5

7

m=−4.5

Step-by-step explanation:

6m-m=5-3+39.5

5m=-37.5

m=7.5

is -3 or 2 a higher slope? ( please help fast will give brainliest and thanks!!!!! 100 points help pleaseeeeee!!!!)

Answers

Answer:

ANSWER IS -3

Step-by-step explanation:

HOPE THIS HELPS

ANSWER IS -3

have a good day

pleaseeeee help meee !!!!!! i need this answer for my testtt !!!!!

Answers

Answer:

C. Scalene

Step-by-step explanation:

Scalene triangles have three different side lengths. This triangle has three different side lengths from the points given so it must be scalene.

Equilateral would be three identical side lengths.

Isosceles would have two identical side lengths.  

Find the slope of the line. The slope of the line is

Answers

There is no slope for this line. The line is horizontal, so the slope is 0

Answer:

[tex]\boxed{\sf The\: slope\: is \: 0}[/tex]

Step-by-step explanation:

[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

____________

[tex]\sf \left(x_1,\:y_1\right):\left(-1,\:3\right)[/tex]

[tex]\sf \left(x_2,\:y_2\right):\left(3,\:3\right)[/tex]

[tex]\sf Slope\:(m)=\cfrac{3-3}{3-\left(-1\right)}[/tex]

[tex]\sf m=0[/tex]

Need help in math!!!!!!!!

Answers

Answer:

1.9x+2(1.5)>30

Step-by-step explanation:

1.9(15)+2(1.5)

28.5+3

31.5 dollars

therefore the equation is grater than 30 dollars

Factorise fully c^3+c^2

Answers

Answer: C^2(1+c) I hope this helps

what is -9x - 5x + 6x + 3 = ?​

Answers

think about it. first let’s pretend the variable (x) isnt there. let’s add up the -9 + -5 + 6. so, -9 + -5 is -14x if you put the x back on. next, -14 + 6 is -8 because the six is positive. so the answer would be -8x+3 because the three is all alone and has no variable next to it!

PLEASE PLEASE HELP ASAP!!
Find the value of x. Leave your answer in simplest radical form.

Answers

Answer: 6

Step-by-step explanation:

if a box of oranges weigh 4 kilograms one orange weighs 80g how many oranges?

Answers

There are 50 oranges in the box.

There are 23 men and 7 women running a race. What is the ratio of the number of male runners to the total number of runners?(these are all my points please give a honest answer)

Answers

Answer:

The ratio would be 30:23

Step-by-step explanation:

It cannot be simplified ''pretty'' so it would stay as 30:23.

2- 1/2n=3n+16

I need you to solve the whole equation step by step

Answers

Answer:

n = -4

Step-by-step explanation:

2 - 1/2 n = 3n + 16

Combine the constants by subtracting 2 from both sides.

-1/2n = 3n + 14

Combine the variable by subtracting 3n from both sides.

-7/2n = 14

Multiply both sides by 2 to simplify the fraction.

-7n = 28

Isolate n by dividing by -7 on both sides.

n = -4

Check.

2 - 1/2(-4) = 3(-4) + 16

2 + 2 = -12 + 16

4 = 4

Your answer is correct.

Answer:

2-16=3n+1/2n

-14=(6n+n)/2

-28=7n

n=-4

What is the volume of the square pyramid? Round to the nearest tenth.
267.9
1107.7
1670.8

Answers

Answer:

1670.8 cm³

Step-by-step explanation:

Volume of square Pyramid = ⅓*a²*h

h = 15.3 cm

a = 18.1 cm

Plug in the values

Volume of the pyramid = ⅓*18.1²*15.3

Volume = 1670.81 ≈ 1670.8 cm³ (nearest tenth)

Increase 40 by 1/2
I need help, im bad at mathematics.

Answers

Answer:

The answer is :60

Step-by-step explanation:

Hmmmm...... because

Can someone help me Write an equation for this graph?

Answers

Answer:

y = (2/3)x - 1

Step-by-step explanation:

y = mx + b

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (1 - (-1)) ÷ (3 - 0)

m = 2 ÷ 3

m = 2/3

Insert slope and one of the points. I'm using (0, -1).

Solve for b.

-1 = (2/3)0 + b

-1 = 0 + b

-1 = b

∴ y = (2/3)x - 1

(Extra Credit) Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 75% have an emergency locator, whereas 90% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. If it has an emergency locator, what is the probability that it will not be discovered?

Answers

Answer:

0.0323 = 3.23% probability that it will not be discovered

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Has emergency locator

Event B: Probability it will not be discovered.

Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered.

So 20% are not discovered, which means that [tex]P(B) = 0.2[/tex].

90% of the aircraft not discovered do not have such a locator.

So 10% of the aircraft discovered have the location, which means that [tex]P(A|B) = 0.1[/tex]

Probability of having the locator:

75% of 80%(Discovered).

10% of 20%(Not discovered). So

[tex]P(A) = 0.75*0.8 + 0.1*0.2 = 0.62[/tex]

If it has an emergency locator, what is the probability that it will not be discovered?

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.1}{0.62} = 0.0323[/tex]

0.0323 = 3.23% probability that it will not be discovered

Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. 2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. 3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
4. If Kevin wrote 21 posts, how many did Cheryl write?

Answers

Answer:

Cheryl writes 7 fewer posts than Kevin on a social media site.

Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.

1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)

The expression will be P for "of posts Kevin writes." 

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)

 The operation I will use is subtraction so P-7.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)

Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )

4. If Kevin wrote 21 posts, how many did Cheryl write? (3 points)

Cheryl wrote 14 posts, because 21 - 7 = 14

Hope this helps <3

1. We have chosen a variable 'x' to represent the number of posts by Kevin.

2. Subtraction applies to this situation.

3. The number of posts written by Cheryl is (x - 7).

4.  If Kevin wrote 21 posts, Cheryl wrote 14 posts.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Let, Kevin writes 'x' number of posts,

Therefore, Cheryl writes (x - 7) posts.

We could have chosen any letters for the number of posts Kevin writes,

And as Cheryl writes fewer posts than Keving we subtracted the number.

If Kevin writes 21 posts, 'x' is 21, And hence Cheryl has written,

(21 -7).

= 14 posts.

learn more about equations here :

https://brainly.com/question/10413253

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Solve the equation 3x-1 = -7

Answers

Answer: x = -2

Step-by-step explanation:

first, we move the constant to the right.

3x = -7 + 1

then, we calculate that.

3x = -6

finally, we divide both sides.

x = -2

The solution to the equation 3x - 1 = -7 is x = -2.

To solve the equation 3x - 1 = -7, we need to isolate the variable x on one side of the equation.

Here are the steps to solve it:

Step 1: Start with the given equation: 3x - 1 = -7.

Step 2: To eliminate the constant term (-1) on the left side, we can add 1 to both sides of the equation:

3x - 1 + 1 = -7 + 1.

Simplifying, we get: 3x = -6.

Step 3: Now, we want to isolate x, so we need to get rid of the coefficient 3 in front of x.

We can do this by dividing both sides of the equation by 3:

(3x)/3 = (-6)/3.

Simplifying further, we have: x = -2.

Step 4: We have found the solution to the equation: x = -2.

Therefore, the solution to the equation 3x - 1 = -7 is x = -2.

Learn more about equation click;

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Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the demand for No-Stick bandages has been fairly constant. On average, sales have been about 87,000 packages of No- Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages

Answers

Answer:

the probability that sales will be less than 81,000 packages is 0.6681

Step-by-step explanation:

Given that;

Average sales μ = 87,000

standard deviation σ = 4,000

x' = 81,000

P( x < 81,000) = ?

so

P( x < 81,000) = P( x - μ / σ )

we substitute

P( x < 81,000) = P( 81,000 - 87000 / 4000 )

P( x < 81,000) = P(  - 6000 / 4000 ) = -1.5

from table;

P( z < 1.5 ) = 0.6681

Therefore the probability that sales will be less than 81,000 packages is 0.6681

im like gonna be posting these because i been on this section since august

Answers

Answer:

$102

Step-by-step explanation:

First calculate the number of hours for morning and afternoon.

[8:15 - 12:15] 12 - 8 = 4 hours for the morning

[13:00 - 17:30] (17 - 13) + 1/2 an hour = 4.5 hours

Giving us a total of 8.5 hours.

12 x 8.5 = 102

3) The school that Jill goes to is selling tickets to a fall musical. On the first day of ticket sales the
school sold 3 senior citizen tickets and 6 child tickets for a total of $102. The school took in
$184 on the second day by selling 1 senior citizen ticket and 12 child tickets. Find the price of a
senior citizen ticket and the price of a child ticket.

Answers

Step-by-step explanation:

x - number of senior citizen tickets sold

y - number of child tickets sold

1st day: 3x + 6y = 102

2nd day: x + 12y = 184

2 (3x + 6y = 102)

= 6x + 12y = 204

-1 (x + 12y = 184)

= -x - 12y = -184

6x + 12y = 204

-x - 12y = -184

= 5x = 20

x = 4

3(4) + 6y = 102

= 12 + 6y = 102

= 6y = 90

y = 15

Answer:

One senior ticket is $ 4.00 and one child ticket is $ 15.00

Hope this helps! :D

2
If f(x) = -2x2- x, what is f(2) and f(3)?

Answers


If f(x) = -2x^2 - x, what is f(2) and f(3)?

f(2) = -2x^2 - x
= -2(2)^2 - 2
= -4^2 - 2
= 16 - 2
f(2) = 14

f(3) = -2x^2 - 2
= -2(3)^2 - 2
= -6^2 - 2
= 36 - 2
f(3) = 34

What would the slope of a line be to line perpendicular to the following: Y = 2x - 2

Answers

Answer:

-1/2x

Step-by-step explanation: negative reciprical

A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the
second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability,
For each of the three events in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event

Answers

Answer:

Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability

Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability

Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability

Step-by-step explanation:

The probability of the given events is:

[tex]\frac{1}{4}[/tex][tex]\frac{1}{4}[/tex][tex]\frac{3}{8}[/tex]

According to the question,

Number of outcomes = 8

Event A:

Having the alternative even and odd numbers.

→ [tex](EOE, OEO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event B:

No even number and last two rolls.

→ [tex](EOO,OOO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event C:

Exactly on odd number:

→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]

Thus the above approach is correct.

Learn more about probability here:

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Carmen made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $153?

Answers

Answer:

9

Step-by-step explanation:

221/13=17

So $17 for one hour

153/17=9

I dunno if this is right :)

Answer:

Carmen has to work 9 hours to make $153.

Step-by-step explanation:

Well first we would need to find out how much she makes an hour, so to do that we would divide the 221 by 13 hours and get 17. Then you just keep multiplying until you have the right number.

17x4=68

17x5=85

17x6=102

17x7=119

17x8=136

17x9=153

2. Given R (6, -2) and S (8, 12), find the midpoint of RS.

Answers

Answer:

You need to find the slope of the two points given, then you need to add or subtract (depending on if the slope is increasing or decreasing). Once you find the slope add or subtract the answer onto R or S.

Step-by-step explanation:

SLOPE FORMULA-

y2-y1 / x2-x1

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