Solve for x.
-2 (x + 1/4)+1=5
Enter your answer as a fraction in simplest form in the box.
X = ​

Answers

Answer 1

Answer:

[tex]x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}[/tex]


Related Questions

Find the distance between a point (6, 9) and a horizontal line at y = 5. A) 4 B) 11 C) 15 D) 14

Answers

Answer: A.) 4

Step-by-step explanation:

Given the following:

Horizontal line y = 5

Point (6, 9)

Distance between point (6, 9) and horizontal line y = 5

For point (6,9) ; x1 = 6, y1 = 9

Horizontal line : y = 5

Hence, distance between the two points will be the difference between the the y values :

y1 - y = 9 - 5 = 4

Hence, the distance between a point (6, 9) and a horizontal line at y = 5 is 4

someone help me on this please

Answers

Answer:

✓ The data for store 1 shows greater variability.

✓ The mean of the data for store 1 is greater than the mean of the data for store 2.

Consigna:
Resuelve el siguiente problema:
Para comprar un juego de mesa para divertirnos en familia durante la pandemia. yo aporté un quinto (6)
del total del precio, mi hermana María aportó la sexta parte (') y mi papá aporto el resto que faltaba.
¿Qué parte del costo del del juego aportó mi papá? Si pagamos el total de $90, ¿Cuánto dinero puso
cada uno?
DATOS
GRÁFICOS O DIBUJOS OPERACIONES
RESULTADOS

Answers

Answer:

El padre pago el 63% del valor del juego, es decir, $57.

Step-by-step explanation:

Si el valor total del juego es de $90, y el redactor aportó una quinta parte del total del precio, el total aportado por él es de $18 (90 / 5 = 18). A su vez, su hermana María aportó una sexta parte del valor, es decir $15 (90 / 6 = 15). Por ende, el padre de los niños aportó $57 (90 - 18 - 15 = 57), es decir, el 63% del valor total.

please help me fr tho

Answers

Answer: y=2x+1

Step-by-step explanation:

To solve for y, we want to use our algebraic properties to isolate y.

16x+9=9y-2x               [add both sides by 2x]

18x+9=9y                     [divide both sides by 9, divide to each term]

2x+1=y

Now, we know that y=2x+1.

Answer:

no thx and thx for the points

Step-by-step explanation:

A landscape architect wants to plant a circle of flowers around a triangular garden. She has sketched the triangle on a coordinate grid with vertices at A (0, 0), B (8, 12), and C (18, 0). Explain how the architect can find the center of the circle that will circumscribe triangle ABC. Then find the radius of the circumscribed circle.

Answers

Answer:

The center of the circle is the point (6,3)

A
Para resolver los siguientes casos, plantea sistemas de
ecuaciones en tu cuaderno y encuentra los valores de las
incógnitas.
1. Horacio quiere poner una hamaca en su jardín. Tiene una cuer-
da que mide 14 metros para amarrar los dos extremos de la
hamaca, por lo que decide cortar la cuerda en dos. Si un pedazo
de cuerda mide 4 metros más que el otro, ¿cuánto miden las
nuevas cuerdas?

2. Imagina que vas a la tienda con un amigo y compras 6 paletas
y 2 gomitas. Tu amigo pide 1 paleta y 10 gomitas. Si tú pagas
$24 y tu amigo $33, ¿cuánto cuestan las gomitas y las paletas?






porfavor ayuda es para una tarea de mañana antes de las 8​

Answers

Answer:

1 La longitud de las nuevas cuerdas = 5 metros y 9 metros

2 El costo de las paletas = $ 3

El costo de las gomitas = $ 3

Step-by-step explanation:

1) Sea la primera mitad de la cuerda representada por = a

Deje que la segunda mitad de la parte superior esté representada por = b

a + b = 14 metros

De la pregunta, se nos dice que ok, la mitad es 4 metros más larga que la otra

a = b + 4

Por lo tanto

b + 4 + b = 14 metros

2b + 4 = 14 metros

2b = 14 - 4

b = 10/2

b = 5 metros

a = b + 4

a = 5+ 4

a = 9 metros

Por lo tanto, la longitud de las nuevas cuerdas = 5 metros y 9 metros

2)

Representemos el costo de las paletas = p

Costo de gomitas = g

De la pregunta 2 se nos dice que:

Tu vas a la tienda con un amigo y compras 6 paletas y 2 gomitas. Si tú pagas $ 24

Por tanto: 6p + 2g = 24 ....... Ecuación 1

Tu amigo pide 1 paleta y 10 gomitas. y tu amigo $ 33

p + 10g = 33 ....... Ecuación 2

p = 33 - 10g

Sustituya p por 33 - 10g en la Ecuación 1

6p + 2g = 24 ....... Ecuación

6 (33-10 g) + 2 g = 24

198 - 60 g + 2 g = 24

-58g = 24-198

-58g = - 174

g = -174 / -58

g = $ 3

Para encontrar p

p = 33 - 10g

p = 33 - 10 × 3

p = 33 - 30

p = $ 3

Por lo tant,

El costo de las paletas = $ 3

El costo de las gomitas = $ 3

Multiply (6x^3+8)(7x^2+8x+7)

Answers

that’s the answer for you
hope this helps if you have any more questions about this let me know!!

Barbara’s soccer team selected 15 girls from 75 girls who tried out for the team. What decimal is equivalent to the fraction of girls selected from the group

Answers

Answer:

.2

Step-by-step explanation:

15 /75

Divide the top and bottom by 15

1/5

Changing to decimal form

1/5 * 2/2 = 2/10

.2

MATH QUESTION... NEED HELP

Answers

Answer:

C. 7 inches I hope this helps

In a particular class of 22 students, 18 are men. What fraction of the students in the class are men

Answers

Answer:

9/11

Step-by-step explanation:

The fraction that are men are

men/total

18/22

Divide the top and bottom by 2

9/11

In your part-time job, your hours vary each week. One week you worked 22 hours, the next 25 hours, the third 14 hours, and the fourth 19 hours. Your gross pay for the entire month was $960. How much money did you bring home during the second week?

Answers

Answer:

$300

Step-by-step explanation:

1 month =4 weeks

1 week=22 hrs

2 week= 25 hrs

3 week = 14 hrs

4 week = 19 hrs

Total of hrs in the month is 80 hrs

80 hrs = $960

25 hrs = ?

960×25÷80=300

Answer =$ 300

I don’t get thiss so can someone help me

Answers

Step-by-step explanation:

use algabraic expreshens it will help trust me

HELP WILL GIVE BRAINLIEST!!Aditi has $50.00 in her wallet. She buys a shirt for $12.00 and also wants to buy some bracelets that are on sale for $0.60 each. The inequality below relates x, the number of bracelets she can buy, with her shirt purchase and the money in her wallet.

12 + 0.60 x less-than-or-equal-to 50

What is the greatest number of bracelets she could buy?

Answers

Answer:

The greatest number of bracelets she can buy is 63.

Step-by-step explanation:

12 + 0.60x ≤ 50

Since we already have the inequality, we have to start picking random numbers(until there are no more solutions):

1.) 12 + 0.60(63) ≤ 50

12 + 37.8 ≤ 50

49.8 ≤ 50

Since 49.8 ≤ 50 is always true, there are infinitely many solutions.

Now we know that she can buy 63 bracelets, we have to figure out if she can buy more:

2.) 12 + 0.60(64) ≤ 50

12 + 38.4 ≤ 50

50.4 ≤ 50

Since 50.4 ≤ 50 is false, there is no solution.

Answer:

63

Step-by-step explanation:

did the test on edge

Which statement is true? Question 7 options: A) |–3| = 3 and –|–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3| = 3 and |–4| = –4

Answers

Answer:

option A is correct

Step-by-step explanation:

mod's has a simple function -

if |x| is given it simply means that the value of "X" can't be negative

Option A is correct,  |–3| = 3 and –|–4| = –4 is true statement.

What is Number system?

A number system is defined as a system of writing to express numbers.

The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.

|-x|=x

For option A

|–3| = 3 and –|–4| = –4 is true

For option B

|–3| = 3 and –|4| = 4 is not true because –|4|  is -4.

For option C

–|3| = 3 and |4| = 4 is not true because –|3| is -3

For option D

|–3| = 3 and |–4| = –4 is not true because |-4| is 4

Hence, option A is correct,  |–3| = 3 and –|–4| = –4 is true statement.

To learn more on Number system click:

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HELP PLEASE MY WORK HAS TO BE DUE IN A FEW MINUTES PLEASE HELP

Answers

Given: 2/3 every 30 seconds

If we cut 2/3 in half, we get 1/3. This would also mean we cut the time in half 30 / 2 = 15 seconds

Therefore, 1/3 of the length every 15 seconds.

15 + 15 + 15 = 45 seconds to go the full length of the path

5+5 you get 39 points

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Use a calculator to find this or simply use your figers and count 5 more starting from 5.

Twice the sum of a number and 7 is more than 6 or at most -3. Which compound inequality can represent this relationship

Answers

Answer:

C

Step-by-step explanation:

The inequality 2(x + 7) > 6 and 2(x + 7) ≤ -3 will represents the given situation so option (C) will be correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Let's say that number is x

Then,

sum of a number and 7 = x +7

Twice the sum of a number and 7 is more than 6

So,

2(x + 7) > 6

And

Twice the sum of a number and 7 is at most -3, it means it can go up to -3 not more than.

So,

2(x + 7) ≤ -3

Hence "The inequality 2(x + 7) > 6 and 2(x + 7) ≤ -3 will represents the given situation".

For more about inequality,

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Does the following number belong to the interval (1.5, 2.4) ?

Square root of 2

Square root of 3

Square root of 5

Square root of 6

Yes or no

Answers

Answer:

Square root of 2: No

Square root of 3: Yes

Square root of 5: Yes

Square root of 6: No

Step-by-step explanation: Verified by RSM

Choose the algebraic expression that represents the area of a triangle that has a base 4 inches less than 5 times wider than the height.
a (1/2)(5h)(h – 4)
b (1/2)(5b + 4)(b)
c (1/2)(5h – 4)(h)

Answers

Answer:

c (1/2)(5h – 4)(h)

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Let

Height of the triangle = h

Base 4 inches less than 5 times wider than the height.

Base of the triangle = 5h - 4

Area of a triangle = 1/2 × base × height

= (1/2)(5h-4)(h)

The algebraic expression that represents the area of a triangle that has a base 4 inches less than 5 times wider than the height is (1/2)(5h-4)(h)

Option C is the correct answer

Answer:

c

Step-by-step explanation:

i had this same question a while ago

Does seth or briana walk faster

Answers

Answer:

PLEASE GIVE BRAINLIST

you need to be more pacific on your question so that can other people can help you.

HOPE THIS HELPED

SOMEONE HELP I NEED THE ANSWERS TO THIS PROBLEM

Answers

Answer:

Step-by-step explanation:

∠6 = 45     {Vertically opposite angles are equal}

∠6 + 5x + 35 = 180  {Co interior angles}

45 + 5x + 35 = 180  {add like terms}

80 + 5x = 180

5x = 180 - 80

5x = 100

x = 100/5

x = 20

5x + 35 =  5*20 + 35 = 100 + 35 = 135

∠8 = 5x + 35   { Corresponding angles}

3) ∠8 = 135

4) ∠ 3 = ∠6    {Alternate interior angles are equal}

3 = 45

5) ∠6 = 45

Can anyone help me with my algebra homework ?

Answers

Answer: No, it is not possible

Why not? Because of the phrasing "share an arm AB". If two angles share a common line, segment or ray, then they are considered adjacent angles by definition. You can think of two rooms sharing the same wall. Those rooms are adjacent. So we cannot have nonadjacent angles sharing the same arm AB.

Both of the equations below have the same solution when solved for x. What is the value of t?

Answers

Answer:

-.75x-6

Step-by-step explanation:

Step 1: simplify the first equation

1/4(x-28)=2x, or .25x-7=2x.

Step 2: simplify the second equation so that one side equals 2x

13-5x=-7.5x-t. Add 7x to either side to get 13+2x=-.5x-t. Then, subtract 13 from either side and then you have 2x=-.5x-t-13

Step 3: make both equations into one equation

Since 2x=.25x-7, and 2x=-.5x-t-13, then it's safe to say .25x-7=-.5x-t-13.

Step 4: Simplify this final equation

Add .5x to both sides to get .75x-7=-t-13. Then add 13 to both sides to get .75x+6=-t. Then multiply everything by -1 to get -.75x-6=t

Juan baked 5 dozens of cupcakes which cost her a total of PHP 2675.How much should she sell each cupcake if she wants to get a 25% profit?

Answers

Step-by-step explanation:

5 cupcakes = PHP 2675

25% profit =

25/100 × 2675 = 668.75

Selling price for 25% profit = 2675 + 668.75 = 3343.75

Cost of each cupcake for 25% profit = 3343.75/5

= 668.75

Use linear equation to calculate intercepts. x minus one-half y = negative 4 Complete the table with values for a and b. A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.

Answers

Answer:

Use linear equation to calculate intercepts.

x minus one-half y = negative 4

Complete the table with values for a and b.

A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.

a =  

✔ 8

b =  

✔ –4

Step-by-step explanation:

those are ur correct answers

Answer:

Use linear equation to calculate intercepts.

x minus one-half y = negative 4

Complete the table with values for a and b.

A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.

a =  

✔ 8

b =  

✔ –4

Step-by-step explanation:


1. Ms. Scott raised $4,763 for the local charity. Find the opposite of this integer.

Answers

Answer:

D

Step-by-step explanation:

Shsgbsbdh

helphelphelphelphelphelph ​

Answers

Answer:

first 2 are right and last is right, but 3 is 30 not 66

Step-by-step explanation:

Answer:

you got 1 and 2 and 4 right but 3 is 30

Step-by-step explanation:

3 is 30 because you have to multiply before you add due to pemdas

Find the general expression for the slope of a line tangent to the curve of y=2x^2+4x at the point P(x,y) . Then find the slopes for x=-3 and x=0.5. Sketch the curve and the tangent lines. What is the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) ​?

Never mind I got it. mtan=6x+4. Sub in x values, for x=-2, take 6(-2)+4 = -8, and for x=1.5. 6(1.5)+4=13.

Answers

Complete Question

Find the general expression for the slope of a line tangent to the curve of y=2x^2+4x at the point P(x,y) . Then find the slopes for [tex] x = 3[/tex] and x=0.5. Sketch the curve and the tangent lines. What is the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) ​?

Answer:

The  generally expression for the slope of [tex]y = 2x^2 + 4x[/tex] is  [tex]y' = 4x +4[/tex]

The graph is shown on the first uploaded image

The  generally expression for the slope of [tex]y=2x^2+4[/tex] is   [tex]y' = 4x[/tex]

Step-by-step explanation:

From the question we are told that

  The  equation of the curve is [tex]y = 2x^2 + 4x[/tex]

First we differentiate the equation

So  

     [tex]y' = 4x +4[/tex]

Therefore the generally expression for the slope tangent to the curve [tex]y=2x^2+4x[/tex] is   [tex]y' = 4x +4[/tex]

The  next step is to substitute for x =  3 and  x =  0.5

So  for [tex]x_1 = 3 [/tex]

    [tex]y' = 4(3) +4[/tex]

     [tex]y' =m_1= 16[/tex]

And  for  [tex]x_2 = 0.5[/tex]

      [tex]y' = 4(0.5) +4[/tex]

       [tex]y' =m_2= 6[/tex]

Here m_1  and  m_2 are slops of the curve

Next we obtain the coordinates of the tangent lines

So  at [tex]x_1 = 3 [/tex]

   [tex]y_1 = 2(3)^2 + 4(3)[/tex]

  [tex]y_1 = 21[/tex]

So the coordinate for the first tangent line is  

    [tex](x_1 , y_1 ) = (3 , 21)[/tex]

At  [tex]x_2 = 0.5 [/tex]      

    [tex]y_2 = 2(0.5)^2 + 4(0.5)[/tex]

=>  [tex]y_2 = 2.5[/tex]

So the coordinate for the second  tangent line is  

    [tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex]

Next we obtain the equation for the tangent lines

 So generally the slope is mathematically represented as

        [tex]m = \frac{y - y_1 }{x-x_1}[/tex]

For   [tex](x_1 , y_1 ) = (-3 , 21)[/tex] and  [tex]y' =m_1= 16[/tex]

       [tex] 16 = \frac{y -21 }{x-3)}[/tex]

=>    [tex]y = 16x - 27[/tex]

For  [tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex] and  [tex]y' =m_2= 6[/tex]

       [tex] 6 = \frac{y -2.5 }{x-0.5}[/tex]

       [tex]y = 6x -0.5[/tex]

Generally the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) is mathematically evaluated by differentiating  y=2x^2+4 as follows

     [tex]y' = 4x[/tex]

     

Whats the three numbers between 813 930

Answers

Numbers between 813-930 are 870,880,925

The numbers between 813-930 are 870,880,925.

It is required to find the  three numbers.

What is real number?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given:

We have to find the  three numbers between 813 to 930.

Numbers between 813-930 are 870,880,925.

Therefore , the numbers between 813-930 are 870,880,925.

Learn more about real number here:

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Use the given conditions to write an equation in slope-intercept form. passing through (-2, 0) & (0, 2)

Answers

Answer:

Step-by-step explanation:

(2 - 0)/(0 + 2)= 2/2= 1

y - 0 = x + 2

y = x + 2

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Given that f(x) = 5x^2-3x+7 and f(g(x))=(5x^4)/9 + (17x^2)/3 + 21. Find all possible values for the sum of the coefficients in the quadratic function g(x). Which expressions are equivalent to x4 + 5x3 - 43x2 + 4x -9? Select all that apply. (-6x4 - 8x3 - 34x2 + 4x - 23) + (7x4 + 13x3 9x2 + 14) A B (x4 + 2x3 - 203x2 + 9x 13) + (x4 + 3x3 + 160x25x + 4) C (3x4 + 1983 - 7x2 + x - 193) - (2x4 + 14x3 + 36x2 3x 184) (13x4 - 11x3 + 8x2 + 5x 19) - (-12x4 + 16x3 - 51x2 - x + 10) (-8x4 - 31x3 11x2 - 8x - 43) - (-9x4 + 36x3 32x2 + 12x + 34) Please help fast and i brainliest!!! What is the first step in solving the equation 3x26x+1=0 by completing the square? Write the equation in standard form. Factor both sides of the equation. Write the equation in the form ax2+bx=c. If a1, divide each term by a. Use the square root property. HELP MEEEEE I NEED HELP SM Which is greater?[tex]4 \sqrt{20} [/tex]or[tex] \sqrt{40} [/tex] Si don Matas slo recuerda que el rea es de 625 m?, mediante que procedimiento puede calcular elvalor de cada uno de los lados? Why do nuclear fusions release energy? Five roses cost $25 how many Roses can you purchase for $75 Write a story which ends with the statement"Now I know that no man can be trusted Two joggers left Delhi for Noida simultaneously. The first jogger stopped 42 min later when he was 1 km short of Noida and the other one stopped 52 min later when he was 2 km short of Noida. If the first jogger jogged as many kilometers as the second, and the second as kilometers as first, the first one would need 17 min less than the second. Find the distance between Delhi and Noida? First person to answer gets brainliest find the domain and range of the following absolute functions . F(x)=|x+6| Nothing ConstantNothing is constant but change.Heraclitus, an ancient Greek philosopher1 It was the last day of school; the kids were gone, the books had been collected, and Principal Drake was handing out final paychecks. This was normally a relaxed meeting at which teachers wearing casual clothes smiled and wished each other well for the summer. But no one was smiling today, because a story in the local newspaper had exploded like a crack of thunder.2 The headline read, Board of Education Plans New Middle School, and the staff members of East Orange Elementary were rattled.3 Principal Tom Drake opined, I am concerned about a situation in which a newspaper already knows school district information that comes as a surprise to me and my teachers. He continued, But of far greater concern is what this means for us, for our colleagues at West Orange, and for students and parents throughout the district.4 Coach Melinda Gardner whispered to her friend, Mr. Dale French, Old Tom is just worried the Board might ask him to retire and make someone else principal of the new campus.5 Mr. French whispered back, Melinda, you be nice now, but he couldnt help smiling at his friends remark.6 As the meeting went on, many teachers worried out loud about what might happen if grades 6-8 from East and 6-8 from West consolidated.7 Ever since the two elementary schools had opened, decades ago, the district had proudly maintained a unique system. While surrounding districts had built new middle schools, Orange kept two elementary buildingsEast and Westwith K-8 graders in each.8 Now, according to the paper, the results of the 2010 census were in. They suggested population growth would soon fill both elementary schools with K-5 students only. Apparently, the Board thought the time was ripe to build one new middle school for 6-8 graders.9Will one campus need two middle school science labs? Dr. Fred Davis, the science department head, asked the group in his usual shy, quiet voice.10Since there is only one middle school library, is the Board going to honor seniority? Mrs. Betty Green asked brashly. Or the Board could just keep whichever librarian has the coolest photos on her social media site, she added sarcastically.11Mrs. Green is worried her lack of computer skills might finally hurt her, Coach Gardner whispered to Mr. French again.12Coach Gardner, please! Principal Drake scolded his gym teacher for whispering. You would not tolerate it if your students were rude. This turn of events has caused real alarm so lets be sensitive to each others concerns.13I apologize for both of us, Tom, Mr. French offered. But lets not get carried away and spoil our summers over this. We dont know if this proposed new campus will actually be built. The census projections could be wrong. Even if they are right, the cost of raising taxes to pay for a new school might not go over well with voters.14 Mr. French continued, I plan to enjoy my summer and expect another great year. Chances are well all have jobs because several teachers retire every year and the Board moves us around to fill the vacancies. Some of us may have new assignments, but well all land somewhere.15 All around the room there were nods of agreement. The atmosphere of gloom gave way to the usual feelings of accomplishment and relief at the end of school.16 Mr. French offered one more uplifting thought. Each spring we graduate our eighth graders and send them on to Central High. If they can adjust to a new building, I think we can too.17 With that, the teachers adjourned and summer vacation began.Write a complete and accurate summary of this text. 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