While walking by a classroom, Linda sees two perfect squares written on a blackboard. She notices that their difference is her favorite number, 99. She also notices that there are exactly two other perfect squares between them. What is the sum of the two perfect squares on the blackboard

Answers

Answer 1

Answer:

15^2

18^2

Step-by-step explanation:

Answer 2

Answer:

549

Step-by-step explanation:

considering 'n²' to express first square on board.

Remember 'n' is an integer

Now expressing second square with (n+3)²  on the board.

(Therefore, The other two perfect squares in between are (n+1)² and (n+2)².

If asking for the difference that is 99:

(n+3)² - n² = 99

Solving for n:

n² + 6n + 9 - n² = 99

6n + 9 = 99

6n = 90

n = 90/6

n = 15

So the perfect squares on the board are:

n²  => 15² = 225

(n+3)²=> 18² = 324

The difference between the above is 99

and  exactly two other perfect squares (16² = 256 and 17² = 289) are in between.

Thus, the sum of the two perfect squares on the blackboard is,

225 + 324 = 549


Related Questions

5/7 = p + 4/7
p =
Solve the equation.

Answers

Step-by-step explanation:

p=5/7-4/7

7p=1

p=1/7

hope it helps

Answer:

Step-by-step explanation:

Donatello starts with a marble cube of side length $10.$ He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length $s.$ Find $s.$ [asy] import three; size(7cm); unitsize(1 cm); currentprojection

Answers

The side length, s, of the resulting polyhedron is (20√3)/3 cm.

To find the value of s, the side length of the resulting polyhedron, we can analyze the original cube's corners and the pyramids that Donatello slices off. Each corner of the cube contributes one-eighth of a pyramid to the polyhedron. These pyramids are similar, and their base is an equilateral triangle with side length s/2, and the height is s/2.

Considering one of these pyramids, we can use the Pythagorean theorem to find its slant height (the side length of the original cube):

(s/2)^2 + (s/2)^2 + (s/2)^2 = 10^2

Simplifying:

3/4 * s^2 = 100

Now, solve for s:

s^2 = (4/3) * 100

s^2 = 400/3

s = √(400/3)

s = 20/√3

To rationalize the denominator, multiply by (√3/√3):

s = (20/√3) * (√3/√3)

s = (20√3)/3

So, the side length s of the resulting polyhedron is (20√3)/3 cm.

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The side length of the resulting polyhedron after slicing off corner pyramids is  [tex]\( \frac{10}{3} \).[/tex]

Of course, here's the solution in LaTeX:

To find the side length ( s ), we can break down the process step by step:

1. Start with a cube of side length ( 10 ).

2. Slice off a pyramid from each corner.

Since all the edges of the resulting polyhedron have the same length, let's find the side length of the pyramid. Consider one of the corner pyramids:

- It has a square base, with side length ( x , which is also equal to the side length of the cube.

- It has four congruent triangular faces.

If we draw a cross-section through the pyramid and the cube, we'll see that the cross-section of the pyramid is an isosceles right triangle with legs of length ( x ).

Given this, we can use Pythagoras' theorem to find the height of the pyramid. The hypotenuse of the right triangle is ( x ), and the legs are each  x ). So, we have:

[tex]\[ x^2 = x^2 + x^2 + h^2 \][/tex]

Solving for \( h \), the height of the pyramid, we get:

[tex]\[ h = \sqrt{x^2 - x^2} = \sqrt{x^2 - \left(\frac{x}{\sqrt{2}}\right)^2} \]\[ h = \sqrt{x^2 - \frac{x^2}{2}} = \sqrt{\frac{x^2}{2}} = \frac{x}{\sqrt{2}} \][/tex]

Now, we know that the height of the pyramid is [tex]\( \frac{x}{\sqrt{2}} \).[/tex]

When we remove the corner pyramid, the remaining shape is a pentagonal pyramid with a square base. This means the side length of the square base of the remaining polyhedron is [tex]\( 10 - 2x \).[/tex]

The height of this pentagonal pyramid is the same as the height of the corner pyramid, which is  [tex]\( \frac{x}{\sqrt{2}} \).[/tex]

So, we can set up an equation for the height of the remaining pyramid:

[tex]\[ 10 - 2x = \sqrt{2} \cdot \frac{x}{\sqrt{2}} \]\[ 10 - 2x = x \][/tex]

Solving for \( x \):

[tex]\[ 10 = 3x \]\[ x = \frac{10}{3} \][/tex]

So, the side length  [tex]\( s \) of the polyhedron after slicing off the corner pyramids is \( \boxed{\frac{10}{3}} \).[/tex]

do you guys mind helping ?

Answers

Answer:

m = -7

Step-by-step explanation:

1) expand: 2/9m-16/9=2/3m+4/3

2) add 16/9 to both sides:

2/9m-16/9+16/9=2/3m+4/3+16/9

3) simplify: 2/9m=28/9+2/3m

4) subtract 2/3 m from both sides:

2/9m-2/3m= 28/9+2/3m-2/3m

5) simplify: -4/9m=28/9

6) m=-7

Can someone help me on this

Answers

Answer = 702.9 inches

Chef Selena is making her special dish that requires pasta, sauce, and onions. She has 5 1/8 pounds of pasta, 6 pounds of sauce, and 4 7/8 pounds of onions. How many servings of her dish can she make if each serving is 1/2 pound? Which two equations are needed to solve the problem?

Answers

Answer:

[tex]\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}[/tex]

Step-by-step explanation:

The Weight of Ingredients to be used by Chef Selena are:

[tex]5\frac{1}{8}[/tex] pounds of pasta, 6 pounds of sauce; and [tex]4\frac{7}{8}[/tex] pounds of onions.

Total Weight of Food Made, x

[tex]=5\frac{1}{8}+6+4\frac{7}{8}\\=5+6+4+\frac{1}{8}+\frac{7}{8}\\=16 \: Pounds[/tex]

Since each serving is [tex]\frac{1}{2} Pounds[/tex]

Number of Servings of her dish, y

[tex]16 \div \frac{1}{2}\\ =32 \: Servings[/tex]

The two equations needed to solve the problem are therefore:

[tex]\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}[/tex]

You walk 1/3 miles to a clothing store. Then you walk another 1/4 miles to a shoe store. How many miles have you walked in all?
answer as a fraction in simplest form.

Answers

7/12 is the answer in simplest form.

Calculate the area of the shaded region. Use 3.14 for pi. Round your answer to the nearest hundredth if necessary

Answers

Based on the diagram shown above, the area of the shaded region rounded to the nearest hundredth is 1.34 square meter.

In Mathematics and Euclidean Geometry, the area of a square can be calculated by using this formula;

A = [tex]s^2[/tex]

Where:

A is the area of a square.s is the side length of a square.

By substituting the given side lengths into the formula, we have;

Area of square, A = 2.5 × 2.5

Area of square, A = 6.25 square meters.

In Mathematics and Geometry, the area of a circle can be calculated by using this formula:

Area of circle = π[tex]r^2[/tex]

Where:

r represents the radius of a circle.

By substituting, we have;

Radius of circle = diameter/2 = 2.5/2

Radius of circle = 1.25 m.

Area of circle = π × [tex]1.25^2[/tex]

Area of circle ≈ 4.91 square meters.

Area of the shaded region = Area of square - Area of circle

Area of the shaded region = 6.25 - 4.91

Area of the shaded region = 1.34 square meter.

The area of the shaded region is Area = 1.34 [tex]m^2[/tex].

To find the area of the shaded region (the area outside the circle but inside the square), we need to calculate the area of the square and the area of the circle, then subtract the area of the circle from the area of the square.

Given:

Side length of the square [tex]\(s = 2.5\)[/tex] meters

Use [tex]\( \pi = 3.14 \)[/tex]

1. Calculate the area of the square:

[tex]\[ \text{Area of the square} = s^2 = 2.5^2 = 6.25 \text{ square meters} \][/tex]

2. Calculate the radius of the circle:

Since the circle is inscribed in the square, the diameter of the circle is equal to the side length of the square.

[tex]\[ \text{Diameter of the circle} = 2.5 \text{ meters} \][/tex]

[tex]\[ \text{Radius of the circle} = \frac{2.5}{2} = 1.25 \text{ meters} \][/tex]

3. Calculate the area of the circle:

[tex]\[ \text{Area of the circle} = \pi r^2 = 3.14 \times (1.25)^2 \][/tex]

[tex]\[ \text{Area of the circle} = 3.14 \times 1.5625 = 4.90625 \text{ square meters} \][/tex]

4. Calculate the area of the shaded region:

[tex]\[ \text{Area of the shaded region} = \text{Area of the square} - \text{Area of the circle} \][/tex]

[tex]\[ \text{Area of the shaded region} = 6.25 - 4.90625 = 1.34375 \text{ square meters} \][/tex]

Rounded to the nearest hundredth:

[tex]\[\text{Area of the shaded region} \approx 1.34 \text{ square meters}\][/tex]

The complete question is:

Calculate the area of the shaded region. Use 3.14 for pi. Round your answer to the nearest hundredth if necessary.

Area = ____ [tex]m^2[/tex].

Jose Has scored 28,24,26,27,and 21 Points in his five basketball game so far. How many points does he need to score in his next game so that his average mean is 25 points per game

Answers

Answer:

The correct answer is 24.

Step-by-step explanation:

Jose wants to have an average mean of 25 points per game in his 6 basket ball matches.

Total points Jose plans to achieve in 6 games is 25 × 6 = 150.

Points score by him in the first five matches are 28, 24, 26, 27 and 21.

Total points in 5 matches is 126.

Thus the points he need to score in his next game to have an average mean of 25 is given by 150 - 126 = 24.

Brad can type 1260 words in 1/2 hour. What is Brad’s average typing rate in words per minute?

Answers

Brad average typing rate in words per minute is 21

1260 divided by 60 = 21

(In case you meant 30 minutes)

1260 divided by 30 = 42

There are 100 senators in the 115th Congress. Democrats make up $\frac{46}{100}$ of the senators, and Republicans make up $\frac{13}{25}$ of the senators. The rest are Independents. What fraction of the senators are Democrat or Republican?

Answers

Answer: The fraction that makes up Democrats or Republicans is 49/50.

Step-by-step explanation: There are 100 senators in total. We have 46/100 representing the Democrats, and 13/25 representing the Republicans. The number representing the Republicans can be made into an equivalent fraction of the other simply by multiplying both numerator and denominator by 4 (in order to make the denominator the same, that is 100). Hence the fraction of Republicans is 52/100, while the rest are Independents. The independents are

Ind = 100 - (46/100 + 52/100)

Ind = 100 - 98/100

Ind = 2/100

{Total = 46/100 + 52/100 + 2/100}

{Total = 100/100}

However, the fraction of all senators that are Democrats or Republicans is derived as follows;

Dems = 46/100

Reps = 52/100

Total fraction = 46/100 + 52/100

Total fraction = 98/100

Total fraction = 49/50

Final answer:

To find the fraction of senators who are Democrat or Republican, we add the fractions representing Democrats and Republicans. The fraction is $rac{49}{50}$.

Explanation:

To find the fraction of senators who are Democrat or Republican, we need to add the fractions representing Democrats and Republicans. The fraction of senators who are Democrats is $rac{46}{100}$, and the fraction of senators who are Republicans is $rac{13}{25}$.

To add these fractions, we need a common denominator. The least common multiple of 100 and 25 is 100, so we can rewrite the fractions with denominators of 100. $rac{46}{100}$ is equivalent to $rac{46}{100}  imes  rac{1}{1}$, and $rac{13}{25}$ is equivalent to $rac{13}{25}  imes  rac{4}{4}$ (since $25  imes 4 = 100$).

Now we can add the fractions: $rac{46}{100} +  rac{13}{25} =  rac{46}{100} +  rac{52}{100} =  rac{98}{100}$.

So, $rac{98}{100}$ of the senators are Democrat or Republican, which simplifies to $rac{49}{50}$.

can someone help me please? Thanks!

Answers

help you with what? where’s the problem?

Find the area of the irregular polygon.
8 ft
4 ft
12 ft

Answers

Answer:

120

Step-by-step explanation:

you multiply base times height of the rectangle to get 96 then you do 1/2 bh for the triangle to get 24 and then you add them to get 120

The area of the irregular polygon is 120ft^2

We are given that;

The figure with triangle on top and rectangular base

Height of triangle=4ft

Base* height= 12*8

Now,

Area of triangle= 1/2 * base * height

=1/2 * 12 * 4

=24

Area of rectangle= 12 * 8

=96

Total area= 24+96

=120

Therefore, by the given polygon answer will be 120ft^2.

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A box contains 5 red marbles and 7 green marbles. Find the probability of drawing 2 red marbles.
1. a) with replacement
2. b) without replacement

Answers

Answer:

1) 25/144 or 0.1736

2) 5/33 or 0.1515

Step-by-step explanation:

Total marbles: 5 + 7 = 12

1) 5/12 × 5/12

25/144

0.173611111

2) 5/12 × 4/11

5/33

0.151515151515

Answer:

1. 25/144

2. 5/33

Step-by-step explanation:

1. There are a total of 12 marbles. The probability of drawing the first marble red is: 5/12. Since we replace the marble, when we draw the second marble, the probability will also be 5/12. So we multiply them together and get: 25/144.

2. Again the probability of drawing the first marble red is 5/12. However, this time we're not replacing. This means that there are 12 - 1 = 11 remaining marbles and 5 - 1 = 4 remaining red marbles. Then the probability of choosing a second red marble is: 4/11. Multiply these two together: (5/12) * (4/11) = 20/132 = 5/33

Hope this helps!

A cylinder has a radius of 1 inch and a height of 1 inch. What is the approximate volume of the cylinder? Round to the nearest hundred. Use 3.14 for pie

Answers

Answer:3.14
Step-by-step explanation:
Volume of cylinder can be calculated by using the formula V= pir^2h
Where r is radius of cylinder and h is the height.
A cylinder with radius 1 inch and height of 1 inch is given.
r=1,h=1,π=3.14.
Substituting the given values :
V=3.14(1)^2(1)
Volume of cylinder rounded to nearest tenth is 3.14 cubic inches .

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{y = x - 4
{Y = 6x - 10

Answers

Answer:

x = 6/5

y = -14/5

Step-by-step explanation:

y = x -4

y - x = -4

y = 6x -10

y - 6x = -10

y - x = -4

y - 6x = -10

_________--

5x = 6

x = 6/5

y - x = -4 | ×6 |

y - 6x = -10 | ×1 |

6y - 6x = -24

y - 6x = -10

__________--

5y = -14

y = -14/5

If I am going 70 miles per hour and I am talking to someone for 66 seconds and 513 milliseconds how long would it take for my car to travel with the extra time

Answers

Answer:

Car would have traveled [tex]1.283[/tex] miles more with the extra time

Step-by-step explanation:

Given

Speed of the car - [tex]70[/tex] miles per hour

Speed of car in miles per second

[tex]\frac{70}{60* 60}[/tex]

[tex]= 0.0194[/tex] miles per second

Time wasted in talking instead of travelling

[tex]66[/tex] seconds and [tex]513[/tex] milliseconds

Total time wasted in seconds

[tex]66 + \frac{513}{1000} \\66 + 0.513[/tex]

[tex]66.153[/tex] seconds

Distance that would have been traveled in this time instead of talking

[tex]0.0194[/tex] miles per second [tex]* 66.153[/tex] seconds

[tex]= 0.0194 * 66.153[/tex] miles

[tex]= 1.283[/tex] miles

-1 3/5 divided by (- 2/3)

Answers

Answer:

2 2/5

Step-by-step explanation:

-1 3/5 ÷ -2/3

First change the mixed number to an improper fraction

1 3/5 = (5*1 +3)/5 = 8/5

-8/5 ÷ -2/3

Copy dot flip

-8/5 * -3/2

Multiply the numerators then the denominators

24/10

Dividing the top and bottom by 2

12/5

Changing this back to a mixed number

10/5 +2/5

2 + 2/5

2 2/5

Pls mark Brainliest.

Answer:

12/5 or 2 2/5 is the answer.

Step-by-step explanation:

-1 3/5 divided by -2/3.

First, we must turn the mixed fraction into an improper fraction so we are able to perform operations without the hassle of an extra whole.

-1 3/5 = -8/5

Now let's divide. Division is the same as multiplying the dividend by the reciprocal of the divisor. The divisor is the latter, or the number we are dividing the other number by, i.e. -2/3.

The reciprocal of -2/3 is -3/2.

Now let's multiply.

-8/5 * -3/2 = 24/10, which simplifies into 12/5.

12/5 or 2 2/5 is the answer.

What is this???): pls help

Answers

Answer:

sin D= 12/15

sin E= 9/15

cos D=9/15

Step-by-step explanation:

Use SOH CAH TOA

Sine= opposite/hypotenuse

Cosine= adjacent/hypotenuse

Tangent= opposite/adjacent

What is the slope of the line that passes through the points (-1, -10)(−1,−10) and (-1, -2) ?(−1,−2)? Write your answer in simplest form.

Answers

Answer:

undefined

Step-by-step explanation:

We can find the slope of the line using

m = (y2-y1)/(x2-x1)

    = (-2 - -10)/(-1 - -1)

     = (-2+10)/(-1+1)

     = 8/0

When we have a 0 in the denominator the slope is undefined

Jose is working two summer jobs, making $10 per hour washing cars and $9 per hour walking dogs. Last week Jose worked a total of 13 hours and earned a total of $122. Write a system of equations that could be used to determine the number of hours Jose worked washing cars last week and the number of hours he worked walking dogs last week. Define the variables that you use to write the system.

Answers

Answer:

x+y =13

10x + 9y =122

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The sum of the hours he worked washing cars (x) and the hours he worked walking dogs(y) will be equal to the total hours worked (13)

x+y =13

For the second equation the product of the number of hours he worked washing cars(x) and the price per hour ($10) plus the product of the number of hours he worked walking dogs (y) and the price per hour ($9) will be equal to the total amount earned (122)-

10x + 9y =122

So, the system of equations is:

x+y =13 10x + 9y =122

Where:

x: number of hours Jose worked washing cars

y: number of hours Jose worked walking dogs  

Based on the information given, the equation will be:

x + y = 1310x + 9y = 122

Based on the information given, the sum of the hours he worked washing cars and the hours he worked walking dogs will be equal to the total hours worked. Thia can be represented by:

x + y = 13

On the other hand, the product of the number of hours he worked washing cars and the price per hour plus the product of the number of hours he worked walking dogs and the price per hour can be represented with the equation:

10x + 9y = 122

In conclusion, the equation will be x + y = 13 and 10x + 9y = 122.

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if a = 10 , than a2 =

Answers

Step-by-step explanation:

if a = 10

a² = 10²= 100

Hope it will help :)

Answer:

a^2 = 100

a * 2 = 20

Step-by-step explanation:

If a = 10 , than a2 =

a^2 = 100 because 10 ^2 = 10 * 10 = 100

a * 2 = 10 * 2 = 20


If you reflect point A (3, 4) over
the y-axis, what is the reflected
point?

Answers

The rule for reflecting a point over the y-axis is this:

(x, y) ---> (-x, y)

The x term becomes the opposite and the y term stays the same

(3, 4) ---> (-3, 4)

Hope this helped! Let me know if you have any further questions!

~Just a girl in love with Shawn Mendes

What is the area of a circle with a diameter of eight

Answers

Answer:

16 pi or approximately 50.24

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r = d/2 where d is the diameter

r = 8/2 =4

So plugging into the equation for the area

A = pi (4)^2

A = 16pi

Using 3.14 as an approximation for pi

A = 16*3.14 =50.24

Imagine we found a strong positive correlation between worry and sleep disturbances and we hypothesized that drinking caffeine before going to bed would exacerbate this relationship. What type of analysis could we conduct to test this hypothesis?a. Moderationb. Mediationc. ANCOVAd. Two-way ANOVA

Answers

Answer:

The correct option is;

a. Moderation

Step-by-step explanation:

Here we have that the analysis is to check the hypothesis that drinking caffeine would exacerbate the effect of sleep disturbance caused worry is a form of moderator analysis.

A moderator analysis is one in which we attempt to determine if the  relationship between two investigated variables is dependent on the magnitude or presence of a third variable. We refer to the third variable as the moderator or moderator variable.

Which expression is the result of factoring the expression below by taking out its greatest common factor? 16x^2-8x=

Answers

Answer:

8x(2x - 1)

Step-by-step explanation:

Step 1: Write expression

16x² - 8x

Step 2: Find GCF

We can factor and 8 out of both terms and also an x out of both terms.

GCF = 8x

Step 3: Factor

8x(2x - 1)

To factor the expression [tex]16x^2[/tex] - 8x, the greatest common factor is 8x, resulting in the factored expression 8x(2x - 1).

To factor the expression [tex]16x^2[/tex] - 8x by taking out the greatest common factor (GCF), we first identify the largest factor that divides both coefficients. Here, 8 is the GCF of 16 and 8, and since both terms also include a factor of x, the GCF is 8x. We then divide each term by 8x to find the factored expression:

[tex]16x^2[/tex] ÷ 8x = 2x

-8x ÷ 8x = -1

So, the expression factored by its greatest common factor is 8x(2x - 1).

Jake ran 145 meters before lunch and 389 meters after lunch. How many kilometers did Jake run in all? 0.00534 km 0.0534 km 0.534 km 5.34 km

Answers

Jake ran 0.534 km in all, if he ran 145 meters before lunch and 389 meters after lunch.

Step-by-step explanation:

The given is,

                  Jake ran 145 meters before lunch.

                  389 meters after lunch.

Step:1

        Total distance ran by Jake,

           Total distance = Jake run before lunch + Jake run after lunch...(1)

        Where,

                    Jake run before lunch = 145 meters

                       Jake run after lunch = 389 meters

        Equation (1) becomes,

                    Total distance = 145 + 389

                                             = 534

                    Total distance = 534 meters

Step:2

        1 kilometer = 1000 meters

        Total distance ran by Jake = 534 meters

                                                     = [tex]\frac{534}{1000}[/tex] kilometers

                                                     = 0.534

      Total distance ran by Jake  = 0.534 km

Result:

         Jake ran 0.534 km in all, if he ran 145 meters before lunch and 389 meters after lunch.

Answer:

0.534

Step-by-step explanation:

I did the work

Edward and Tiffany were comparing the distance they ran over a week. If Edward ran
11.90 miles and Tiffany ran 7.9 miles, how far did they run total?​

Answers

Answer:

18.9 miles

Step-by-step explanation:

11.90 + 7.9 = 18.9

The answer is: 18.9 miles



Hopefully it correct

Michael is packing his bags for his vacation. He has 6 unique toy animals, but only 5 fit in his bag. How many different groups of 5 toy animals can he take?

Answers

Answer:

6 different groups of toy animals

Step-by-step explanation:

In this question, we are to calculate the number of different groups of toy animals Michael can take.

Since we are selecting, this is clearly a COMBINATION question. Now from the question, we are trying to select 5 toy animals from a group of 6 different animals to fit in the bag

The number of ways we can do this is  6C5 ways

Mathematically, if we have to select a number of r items from a group of n items, the number of ways this can be done is;

nCr = n!/(n-r)!r!

Using the case in the question, we have; 6!/5!(6-5)! = 6!/5!1! = 720/120 = 6 groups

Answer:

6 different groups of toy animals

Step-by-step explanation:

The question above can be solved by applying the Combination technique

Combination technique uses the formula:

nCk = n! /k!(n-k)!

Where in the question above:

n = 6

k = 5

Therefore we have , 6C5

= 6! / 5! (6-5)!

= 6!/ 5!(1!)

6! = 6×5×4×3×2×1

5! = 5×4×3×2×1

Hence,

= (6×5×4×3×2×1) / (5×4×3×2×1)(1)

= 6

Hence, Michael can take 6 different groups of toy animals with him on his vacation.

What is the value of the rational expression x-2x2-3/4x2-12 when x = 3?
-1/4
0
1/4
undefined

Answers

Answer:

(-135)/4

Step-by-step explanation:

Evaluate -(3 x^2)/4 - 2 x^2 + x - 12 where x = 3:

-(3 x^2)/4 - 2 x^2 + x - 12 = 3 - 2×3^2 - 3/4×3^2 - 12

3^2 = 9:

3 - 29 - 3/4×3^2 - 12

3^2 = 9:

3 - 2×9 - 3/4×9 - 12

-2×9 = -18:

3 + -18 - 3/4×9 - 12

-3×9 = -27:

3 - 18 + (-27)/4 - 12

Put 3 - 18 - 27/4 - 12 over the common denominator 4. 3 - 18 - 27/4 - 12 = (4×3)/4 + (4 (-18))/4 - 27/4 + (4 (-12))/4:

(4×3)/4 - (18×4)/4 - 27/4 - (12×4)/4

4×3 = 12:

12/4 - (18×4)/4 - 27/4 - (12×4)/4

4 (-18) = -72:

12/4 + (-72)/4 - 27/4 - (12×4)/4

4 (-12) = -48:

12/4 - 72/4 - 27/4 + (-48)/4

12/4 - 72/4 - 27/4 - 48/4 = (12 - 72 - 27 - 48)/4:

(12 - 72 - 27 - 48)/4

12 - 72 - 27 - 48 = 12 - (72 + 27 + 48):

(12 - (72 + 27 + 48))/4

| 1 |  

| 7 | 2

| 4 | 8

+ | 2 | 7

1 | 4 | 7:

(12 - 147)/4

12 - 147 = -(147 - 12):

(-(147 - 12))/4

| 1 | 4 | 7

- | | 1 | 2

| 1 | 3 | 5:

Answer: (-135)/4

3. What is x?
E
4x+ 5
H

Answers

what is the question
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