Need all these questions answer plz

Need All These Questions Answer Plz

Answers

Answer 1

Step-by-step explanation:

1 result(s) found

x  

2

−x−3

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

 

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3 + 3x2 - 7x - 12

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -12.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,12

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -3.00      

     -2       1        -2.00        6.00      

     -3       1        -3.00        9.00      

     -4       1        -4.00        0.00      x + 4  

     -6       1        -6.00        -78.00      

     -12       1       -12.00       -1224.00      

     1       1        1.00        -15.00      

     2       1        2.00        -6.00      

     3       1        3.00        21.00      

     4       1        4.00        72.00      

     6       1        6.00        270.00      

     12       1        12.00        2064.00      

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3 + 3x2 - 7x - 12  

can be divided with  x + 4  

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3 + 3x2 - 7x - 12  

                             ("Dividend")

By         :    x + 4    ("Divisor")

dividend     x3  +  3x2  -  7x  -  12  

- divisor  * x2     x3  +  4x2          

remainder      -  x2  -  7x  -  12  

- divisor  * -x1      -  x2  -  4x      

remainder          -  3x  -  12  

- divisor  * -3x0          -  3x  -  12  

remainder                0

Quotient :  x2-x-3  Remainder:  0  

Trying to factor by splitting the middle term

2.5     Factoring  x2-x-3  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -1 .

     -3    +    1    =    -2  

     -1    +    3    =    2  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6    Cancel out  (x+4)  which appears on both sides of the fraction line.

Final result :

 x2 - x - 3

Terms and topics

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Polynomial root calculator

Polynomial long division

Related links

More Icon

Root Finder -- Polynomials Calculator

How to factor five term polynomial - Yahoo Answers

Long Polynomial Division

Polynomial long division - Wikipedia

Polynomial Long Division

Polynomials - Long Division


Related Questions

Use the greatest common factor to write each answer in simplest form what is 3/4 • 2/3?

Help ASAP

Answers

Answer:

1/2

Step-by-step explanation:

if there are 689 turtles flying on clouds and 90 turtles fall and die how much turtles are flying on clouds find the answers yourself I know you can do it! :)

Answers

Answer:

599

Step-by-step explanation:

uh just subtraction

Answer:

599

Step-by-step explanation:

689-90=599

Thats pretty sad...

at the beginning of grade 6 the number of advanced math to the number of regluar math students was 3:8 however after taking placement tests students were moved around chaning the ratio of the number of advanced math students to the number of regluar math students was 4:7 how many student students started in reglaur math and advanced math if there were 92 students in advanced math after the placement test. Please tell me how to do this on a tape diagram

Answers

Answer:

There were 69 students in advanced math and 184 students in regular math before the placement tests

Step-by-step explanation:

The correct question

At the beginning of 6th grade, the ratio of the number of advanced math students to the number of regular math  students was 3:8. However, after taking placement tests, students were moved around changing the ratio of the  number of advanced math students to the number of regular math students to 4:7. How many students started in  regular math and advanced math if there were 92 students in advanced math after the placement tests?

Let

x ----> the number of advanced math students

y ----> the number of regular math students

we know that

At the beginning of grade 6

----> equation A

After taking placement tests

----> equation B

----> equation C

Remember that

The total number of students at the beginning of grade 6 is the same that the number of students after taking placement tests

step 1

Find out the total number of students  after taking placement tests

we have

----> equation B

----> equation C

substitute the value of x in equation B and solve for y

The total number of students  after taking placement tests is

step 2

Find out how many students started in  regular math and advanced math

we have that

At the beginning of grade 6

----> equation A

-----> equation  D

Solve the system of equations by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (69,184)

see the attached figure

therefore

There were 69 students in advanced math and 184 students in regular math before the placement tests

Answer:

:o

Step-by-step explanation:

Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B. 1. 4 inches by 2.5 inches 2. 15 inches by 10 inches 3. 24 inches by 15 inches 4. 9 inches by 6 inches

Answers

Answer:

C. 24 inches by 15 inches

Step-by-step explanation:

Given

[tex]Rectangle: 8\ by\ 5\ inches[/tex]

Required

Determine the scale copies

To do this, we calculate the ratio.

[tex]Ratio = \frac{Actual}{Measured}[/tex]

Analyzing A.

Sides: 1.4 by 2.5 inches

We start by calculating ratio of each sides;

Length:

[tex]Ratio =\frac{8}{1.4}[/tex]

[tex]Ratio = \frac{40}{7}[/tex]

Width:

[tex]Ratio = \frac{5}{2.5}[/tex]

[tex]Ratio = 2[/tex]

Analyzing B.

Sides: 15 inches by 10 inches

Length

[tex]Ratio = \frac{8}{15}[/tex]

Width:

[tex]Ratio = \frac{5}{10}[/tex]

[tex]Ratio = \frac{1}{2}[/tex]

Both ratios are not equal

Analyzing C.

24 inches by 15 inches

Length

[tex]Ratio = \frac{8}{24}[/tex]

[tex]Ratio = \frac{1}{3}[/tex]

Width:

[tex]Ratio = \frac{5}{15}[/tex]

[tex]Ratio = \frac{1}{3}[/tex]

Both ratios are equal

Analyzing D.

Sides: 9 inches by 6 inches

Length

[tex]Ratio = \frac{8}{9}[/tex]

Width

[tex]Ratio = \frac{5}{6}[/tex]

Both ratios are not equal

Option C answers the question because both ratio are equal

There are 2 computers for every 3 iPads in this technology room

Answers

I’m confused on the question, what are u asking

Answer:

The Ans Is 2:3

Step-by-step explanation:

Simplify. Express your answer as a single fraction in simplest form.
9v/4v- (w - 2)

Answers

17/4 - w
i’m pretty sure this would be your answer

explanation:

Reduce the fraction with v

When there is a in front of an expression in parentheses, change the sign of each term in the expression

then calculate the sum

Write an algebraic expression for the area of the conference room

Answers

Answer:

I like yo cut gggggggggggg

Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.

Answers

Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)

If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.

Substitute from -3≤x≤1 (We get 5 points)

f(-3) = 4^-3

f(-3) = 1/4^3

f(-3) = 1/64 (First point) (-3,1/64)

f(-2) = 4^-2

f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)

f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)

f(0) = 4^0 = 1 (Fourth point) (0, 1)

f(1) = 4^1 = 4 (Fifth point) (1,4)

Leah bought a dress for the school dance that was priced ar $98.25. If the sales tax is 7.25%, how much money is added to the price?

Answers

Answer:

105.37

Step-by-step explanation:

Solve 5(x + 3) = 3x - 4
Show clear algebraic working,​

Answers

Answer:

5(x + 3) = 3x - 4

=> (5 * x ) + (5 * 3) = 3x - 4

=> 5x + 15 = 3x - 4

=> 5x = 3x - 4 - 15

=> 5x - 3x = -4 - 15

=> 2x = -19

=> x = -19/2

=> x = -9.5

If my answer helped, kindly mark me as the brainliest!

Thank You!!

The first one is correct

what is 8.8x10^5 in standard notation?

Answers

Answer:

880,000

Step-by-step explanation:

Move the decimal in 8.8 five places to the right.

Integers on number lines

Answers

Integers can be represented on the number line. On a number line, the positive numbers are to the right of zero and the negative numbers are to the left of zero. An integer on the horizontal number line is greater than the number on its left and less than the number on its right.

Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality

Answers

Answer:

Division property of equality

Step-by-step explanation:

Consider the equation and its solution. 8 (x minus 2) = 64.

8 x minus 16 = 64.

8 x = 80.

x = 10.

Which property is used in the last step to find that x = 10

The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY

The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another

Let c be the integer greater than zero

ac = bc

Divide both sides by c

a = b

From the above question

8 x = 80

This is also written as:

8x = 8 × 10

Division property of equality

Divide both sides by 8

Hence,

x = 10

Answer:

division property of equality

Step-by-step explanation:

since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.

Check all fractions equivalent to 2⁄8.
Check all that are true.

1⁄2

1⁄6

4⁄16

1⁄4

4⁄12

Answers

1/4 and 4/16 are equivalent to 2/8

Dairy Delight offers a free ice cream every time that the saleperson does not greet the customer with a smile. Last year Dairy Delight gave away free ice cream 3.8% of the time. What is the probability of randomly selecting 3 customers from last year who all received a free ice cream? Round the answer to 6 decimals. Show your work below.

Answers

Answer:

0.000055

Step-by-step explanation:

Given that:

Percentage of free ice cream Given last year = 3.8%

From a total population of 1 ; proportion of those who received free ice cream = 3.8/100 = 0.038

Hence,

Probability of selecting a customer who received free Ice cream = 0.038

Hence, if 3 people are picked randomly from last year who received free ice cream:

(0.038 * 0.038 * 0.038) = 0.000054872

= 0.000055 ( to 6 decimal places)

I need help with these I also would like it if you showed your work.

Answers

Answer:

1. n=11 2. n=5 3. n=15 4. n=4 5. n=4 6. n=27

Step-by-step explanation:

1. Subtract 2 from 13 to get your answer of 11

2. Divide 15 by 3 to get your answer of 5

3. Multiply both sides by 3 to cancel out the division of 3 and you'll get 30, then divide both sides by 2 to get your answer of 15

4. Add 5 to both sides to cancel out the negative 5 and you'll get 4

5. Subtract 3 from both sides to cancel out the 3 and you'll end up with 2n=8, then you wanna divide both sides by 2 to get your final answer of 4

6. Add 2 to both sides to cancel out the negative 2 and you'll be left with 1/3n=9, next you wanna multiply both sides by 3 to cancel out the 1/3 and you'll get your final answer of 27

1. n + 2 = 13
- 2 -2
subtract 2 from both sides in order to isolate the variable (n) , 2 then crosses out and you are left with n= 11

2. 3n = 15
\ 3 \3

divide by three on both sides in order to isolate the variable (n), 3 crosses out and you are left with 15\3 = 5 . therefore n=5 .

3. 2n/3 = 10
2/3 n = 10
you need to reciprocate by doing this you multiply 2/3 by 3/2 , this cross cancels. you then must do the same for the other side (10) , 10/1 * 3/2 . 10x3 = 30 1*2 =2 , 30/2 therefore n=15 .

4. n -5 = -1
+5 +5
add five to both sides:) , 5 cross cancels and you are left with -1 + 5, this equals 4
therefore n=4.

5. 2n + 3 = 11
this is a two step equation so you need to subtract & multiply. first subtract three from both sides leaving you with 2n = 8
then divide by 2, this isolates the variable. 2/2 you’re left with n and 8/2 is 4, therefore n=4 .

6. 1/3n - 2 = 7
two step equation so you need to multiply and add. first add 2 to both sides -2 + 2 crosses out = 0 and 7 + 2 = 9 . the equation should now be 1/3n = 9
you then need to reciprocate and multiply , 1/3 * 3/1 crosses out and you’re left with n , then do the other side 3/1 * 9/1 , 3*9 = 27 and 1*1 = 1 . therefore n = 27/1 or 27 .

i hope this helped a little :) sorry i couldn’t show all work so i did my best to explain, good luckk .







Solve the system of equation

Answers

Just click these pictures to give you the answer or idea of what you need.
Fort the first equation just click on the photo and for the second it’s x-y=-1

Answer:

x= 3, y= 8

or x= -1, y= 0

Step-by-step explanation:

y= 2x² -2x -4 -----(1)

y -2x= 2

y= 2x +2 -----(2)

Substitute (1) into (2):

2x² -2x -4= 2x +2

2x² -2x -4 -2x -2= 0 (bring all terms to the left)

2x² -4x -6= 0 (simplify)

x² -2x -3= 0 (÷2 on both sides)

(x -3)(x +1)= 0 (factorise)

x -3= 0 or x +1= 0

x= 3 or x= -1

Substitute into (2):

y= 2(3) +2 or y= 2(-1) +2

y= 6 +2 or y= -2 +2

y= 8 or y= 0

which expressions are equivalent to 4b?
b+2(b+2b)
3b+b
2(2b)

Answers

3b+b and 2(2b) would be it

Answer:

3b+b and 2(2b)

Step-by-step explanation:

BRAINLIEST APPRECIATED!

THANKS!

Ivan is getting ready for a long road trip. He wants to pack a few books from his collection of 5 novels and 7 collected short stories books. He asks his friend to select a book without showing. From the remaining books, Ivan then himself picks a random book, which turns out to be a novel. The third book that he randomly selects from the remaining ones is also a novel. Find the probability that Ivan will have 3 novels to read during the road trip.

Answers

Answer:

The probability that Ivan will have 3 novels to read during the road trip is 0.0455

Step-by-step explanation:

Given;

number of novels = 5

number of short stories = 7

total  number of books = 12

The probability that Ivan's friend pick's a novel = 5 / 12

The probability of Ivan's first pick to be a novel = 4 / 11

The probability of Ivan's second pick to be a novel = 3 /10

The probability that Ivan will have 3 novels to read during the road trip is given by;

= p(Ivan's friend pick) and P(Ivan's first pick) and P(Ivan's second pick);

[tex]= \frac{5}{12}*\frac{4}{11}*\frac{3}{10}\\\\ = \frac{1}{22}\\\\ = 0.0455[/tex]

Therefore, the probability that Ivan will have 3 novels to read during the road trip is 0.0455

3/5 ÷ 1 1/4. plz help

Answers

Answer:

12/25 (0.48 in decimal form)

Step-by-step explanation:

3/5 divided by 1 1/4

Make 1 1/4 an improper fraction:

1 1/4 = 5/4

Now we flip 5/4 (the second fraction) when we divide and then multiply it by the first fraction.

Our equation now:

3/5 x 4/5

After multiplying across, you get 12/25 (0.48 in decimal form).

Hope this helps!

HELP ASAP
Jason has $2.25 worth of dimes and quarters. He has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Jason has.

Answers

Answer:

Step-by-step explanation:

let the number of dimes=x

and number of quarters=y

x=2y

0.10 x+0.25 y=2.25

or 10x+25y=225

divide by 5

2x+5y=45

2 ×2y+5y=45

4y+5y=45

9y=45

y=45/9=5

x=2y=2×5=10

Hence dimes=10

quarters=5

I need help with this question.
-3(k+5)>-7-3k

Answers

Answer:

no solution

Step-by-step explanation:

-3(k+5)>-7-3k

Distribute

-3k -15 > -7-3k

Add 3k to each side

-3k+3k -15 > -7-3k+3k

-15 > -7

This is not true so there is no solution

An airplane is flying at an altitude of 2.7 miles and is 8.3 miles from the runway. Find the angle of depression that the airplane must make to land safely.​

Answers

Answer:

-8.72811548...   i think

Step-by-step explanation:

a² + b² = c²

8.3² + 2.7² = c²

68.89 + 7.29 = c²

76.18 = c²

√76.18, -√76.18 = c

c = 8.72811548…, −8.72811548…

I think because it's depression, it's -8.72811548...

Plz help with this question

Answers

Answer:

A

Step-by-step explanation:

Given

6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

A

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

You and your friend share a paper route. You can deliver 4 papers in one minute and your friend can deliver 3 papers in one minute. Seventy-five papers have to be delivered each day on the route. Let n be the number of papers you deliver. A) use the verbal model to write an equation that you can use to find out how long it will take the two of you working together to deliver the papers.

Answers

Answer:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]

Step-by-step explanation:

Given that:

4 papers are delivered by first person in one minute.

Rate of delivering one paper

or

Time taken to deliver one paper can be calculated by the formula:

[tex]\dfrac{\text{Total Time taken}}{\text{Number of papers delivered}}[/tex]

Time taken to deliver one paper by first person = [tex]\frac{1}{4}[/tex]

3 papers are delivered by second person in one minute.

Time taken to deliver one paper by second person = [tex]\frac{1}{3}[/tex]

Total number of papers = 75

Number of papers delivered by first person = [tex]n[/tex]

So, number of papers delivered by second person = ([tex]75-n[/tex])

Time taken to deliver [tex]n[/tex] newspapers = Number of newspapers delivered multiplied by Time taken to deliver one newspaper

Time taken by first person = [tex]n\times \frac{1}{4}[/tex]

Time taken by second person = [tex](75-n)\times \frac{1}{3}[/tex]

So, Total time taken can be written as:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]

x-(x(x-y to the power of 3)) ; use x=9 and y=1

Answers

Answer:

-4599

Step-by-step explanation:

x-(x(x-y)^3) , x=9, y=1

=9-(9(9-1)^3)

=9-(9(8)^3)

=9-(9*512)

=9-4608

= -4599

Please help me!!
Geometry

Answers

Answer:

3

Step-by-step explanation:

M is the midpoint of AB. That means that 2 binomials are equal.

4n - 40 = 7* (-2n + 2)                Remove the brackets

4n - 40 = - 14n + 14                   Add 14n to both sides

4n+14n - 40 = -14n+14n + 14     Combine

18n - 40 = 14                             Add 40 to both sides

18n = 14 + 40                           Combine

18n = 54                                   Divide by 18

18n/18 = 54/18                          Combine

n = 3

this is urgent i’ll get a F.... and my momma is crazy so please help it’s my last question

Answers

Answer:

Step-by-step explanation:

The measure of angle BCD is 22 degrees

The measure of angle DCE is 158 degrees

The measure of angle BCF is 158 degrees

The measure of ECF is 22 degrees

Answer:

BCD = 22

DCE = 158

BCF = 158

ECF = 22

Step-by-step explanation:

first one is alternate interior angles

second one is 180 - 22

third one is congruent to second one

last one is congruent w/ BCD

Does the point (1,2) lie on the locus whose equation is 2x+4y = 10?​

Answers

Answer:

Yes, the point lies on the line.

Step-by-step explanation:

 Given coordinate of the locus = (1,2)

  Equation of the line  2x+4y = 10

Unknown:

Does the given coordinate lie on the line?

Solution:

The equation given is that of a straight line. To solve this problem, we simply plug the coordinates of the point back into the equation and check if solves it.

   x  = 1 and y = 2;

   2x+4y = 10

 So;

    2(1) + 4(2) gives 2 + 8 = 10

Yes, the point lies on the line.

The equation of y-axis is of the form

Answers

Answer:

x=0

Step-by-step explanation:

The equation of the y axis corresponds to the equation of every point that lies and constitute the y-axis. As the horizontal distance from every point lying on the y-axis with the main y-axis remains 0, hence, its abscica (x-coordinate) also will be zero.

Hence, x=0

Other Questions
Which of the following describes the extent to which many families with Deaf children learn ASL?1. many families with Deaf children become so inspired by learning ASL that they become professional interpreters2. many families with Deaf children learn some ASL but then hire a tutor when their child is of school age to supplementASL education3. many families with Deaf children must be fluent in ASL because they need to start teaching their children ASL assoon as possible4. some families with Deaf children become fluent in ASL, but many do not The circle shown has a radius of 12 mm. What is the circumference of the circle? PLEASE PLEASE HELP I NEED THIS RIGHT NOW Which sentence uses superfluous correctly?A. The water started flowing from the new sprinkler system in a superfluous way. B. The water was supefluous to the runners after the marathon.C. After the power came back on, the use of flashlights was superfluous. D. The new instructor found the class to be superfluous and attentive. After referring to the text, describe the significance of this warrior being depicted on horseback. Please help me out! Multiply. Do not round your answer.2.48x8.62 =? Mechanistic vs. Organic Structures Managers taking a contingency approach must consider numerous factors in designing the best kind of structure for their particular organization at that particular time. British behaviorists Tom Burns and G.M. Stalker identified what they call mechanistic and organic structures. Depending on the task environment and a variety of other considerations, the type of organizational structure chosen can be critical to organizational success. This exercise will test your knowledge of the characteristics of each of these types of organizational structure.Select the most appropriate category (mechanistic or organic structure) for each of the characteristics of organizations. 1. Few rules and procedures 2. Narrow span of control 3. Specialized tasks 4. Many teams or task forces5. Many rules and procedures 6. Decentralized hierarchy of authority 7. Flatter structure 8. Informal communication 9. Taller structure 10. Centralized hierarchy of authority 11. Wider span of control 12. Shared tasks 13. Formalized communication 14. Few teams or task forces Category:a. Mechanistic Organizations b. Organic Organizations A boat costs $15.500 and decreases in value by10% per year. How much will the beat be worthafter 5 years? What is the slope of a line that is parallel to the line joining (7,-5) and (-5,7) An objects volume is 0.12 kL. What is its volume in liters? The students can make 6 tickets from each sheet of paper. How many sheets of paper. How many sheets of paper are needed for 125 tickets? What is the measure of ZRIA?RPAN999.A. 55B. 30O C. 95D. 60 Yea I need help with fractions What does 7 hundreds10 equal? Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value between 29.0 and 55.0. Use Table IV in Appendix C to compute the probabilities. Round your answer to four decimal places. f(x)=-5/2 x-3A. Create a linear function g(x) such that f(x) = g(x) has exactly one solution. g(x) = ? B. What is the exact solution to f(x) = g(x)? x = ?Step by step Please help with number 7 thank you! 30 points It was late, but Jen was hungry anyway. She had been toobusy to eat all day, and now all she could think about was ahamburger and fries, and maybe a milkshake, too. Jenpulled into the drive-thru, but found that it had closed at 10p.m. Jen sighed. What else might be open? She spotted a24-hour joint across the street. She looked both ways andpulled out into the road again.What can you infer from the text?A. Jen is thinking about a burger and fries.B. Jen drives to another place.C. Milkshakes are not good for you.D. Jen pulls out of the drive-thru. Read this excerpt from "The Lottery" by Shirley Jackson.Mrs. Hutchinson craned her neck to see through the crowd and found her husband and children standing near the front. She tapped Mrs. Delacroix on the arm as a farewell and began to make her way through the crowd, "Here comes your Missus, Hutchinson," and "Bill, she made it after all."Mrs. Hutchinson reached her husband, and Mr. Summers, who had been waiting, said cheerfully, "Thought we were going to have to get on without you, Tessie."Mrs. Hutchinson said, grinning, "Wouldnt have me leave mdishes in the sink, now, would you Joe?" and soft laughter ran through the crowd as the people stirred back into position after Mrs. Hutchinsons arrival.In Shirley Jackson's "The Lottery," how does the contrast between the readers' and the characters views of the lottery impact the story?The forced cheerfulness of Mr. Summers makes the story's final outcome seem inevitable to readers.The villagers' anxiety about the lottery makes the story's final outcome seem suspenseful to readers.The laughing and joking amongst the villagers before the lottery selection begins makes the story's final outcome that much more horrifying for readers. The lighthearted tone Mrs. Hutchinson takes about being late makes the story's final outcome that much more humorous for readers. -y=2/3x + 2 and passes through the point (12, 6).Find an equation perpendicular to the line A. y=-3/2x + 21 B. y=-3/2x +24 C. y= 2/3x + 14 D. y= 2/3x + 8