Simplify quantity 9 x squared plus 12 end quantity over 6 (5 points)

Answers

Answer 1

By distributing the division, we will get the simplified expression:

(3/2)*x² + 2

How to simplify the quantity?

Here we have the following quadratic expression:

(9x² + 12)/6

Remember that the division is distributive, then we can rewrite:

(9x² + 12)/6 = 9x²/6 + 12/6

Now we can just simplify the two fractions.

 (9x² + 12)/6 = (9/6)*x² + 2

                   = (3/2)*x² + 2

This is the most we can simplify the given expression.

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Related Questions

Emma is taking a trip to the beach. So far, she has driven 58 miles in 1.25 hours.
Determine Emma's constant speed and simplify it to a unit rate.
Then write a linear equation in two variables that represents Emma's distance, d, she travels in any given time t.

Answers

Answer:

46.4miles/hour

d=46.4t

Step-by-step explanation:

Let's say d=at, where d = distance, a = the unit rate, and t = any given time.

We're given that Emma takes 1.25 hours to drive 58 miles. Plugging that into our formula of d=at, we get:

58 = 1.25a.

So, a = 46.4.

The formula now becomes d=46.4t.

Add fractions with unlike denominators

Answers

Answer:

1 5/12  i think im sorry if i get it wrong.

Step-by-step explanation:

The Jacksons and the Simpsons were competing in the final leg of the Amazing Race, which was 240240240 kilometers long. In their race to the finish, the Jacksons immediately took off traveling at an average speed of vvv kilometers per hour. The Simpsons' start was delayed by an hour. When they eventually took off, they traveled at an average speed that was 404040 kilometers per hour faster than the Jacksons' speed. Sadly for them, that didn't help, and the Jacksons won. Write an inequality in terms of vvv that models the situation.

Answers

Answer:

240/(v+40) + 1 > 240/v

Step-by-step explanation:

Both parties traveled a distance of 240 km.

Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1

Jacksons took off at average speed of v km/h:  240/v

An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v

How to write an inequality?

We are told that distance travelled by both Jackson and Simpson is 240 km each.

Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v

The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;

Time taken = [240/(v + 40)] + 1

Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v

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What is Find the range of the following data set:

52, 48, 57, 47, 49, 60, 59, 51, 60 plz lmk!!!!!!!!!!!!!!

Answers

Answer:

13

Step-by-step explanation:

60 - 47 = 13

3n^2+4m+5
A. 2
B. 3
C. 4
D. 5

Answers

Answer:

3?

Step-by-step explanation:

3n²+4m+5

3n²+(4m+5)

=3n²+9m

=3n²/9m;(3÷9)(n²÷m)

=1n²/3m

=n²/3m

50 points!!! Will mark brainliest if correct!! Pls help me!!

Answers

Answer:

3rd option is correct, give me brainiest

Can someone help me with this. Will mark brainliest.

Answers

diagonals of a parallelogram bisects each other making an angle of 90°.

so, your answer is True

Answer:

A. True

Step-by-step explanation:

The diagonals of a parallelogram do always bisect each other. However, they only form right angles if the parallelogram is a rhombus or a square.

Mr. Frank has 1.08 kilograms of fertilizer for the plants in his nursery. He wants every plant to get 93 mg of fertilizer 4 times each year. What is the number of plants he could fertilize with that amount? How much fertilizer will he have left over?

Answers

Answer: See explanation

Step-by-step explanation:

First and foremost, we should know that: 1 kilogram = 1,000,000 milligrams

Therefore, 1.08kg will be converted to milligram and this will be:

= 1.08 × 1,000,000 milligrams

= 1,080,000 milligrams

Since every plant gets 93mg of fertilizer, the number of plants that can be fertilized will be:

= 1,080,000 / 93

= 11612.903

Therefore, 11612 plants can be fertilized.

The fertilizer left over will be:

= 1,080,000 - (11612 × 93)

= 1080000mg - 1079916mg

= 84 mg

A camping store is having a summer sale. Stoves are being sold at 40% off. If the sale price is $57 what was the original price of the stove before the sale

Answers

Answer:

The original price was $142.5.

Step-by-step explanation:

40 ÷ 100 = 0.4

$57 ÷ 0.4 = $142.5

Therefore, $142.5 is our answer.

Answer:

142.5

Step-by-step explanation:

Let's say the original price of the store before the sale is x
so 40% x X = $57
40/100 (X ) =57
0.4 (X) = 57 ====> X = 57 / 0.4 = 142.5

The original price of the stove before the sale is  $ 142.5

Please help me with this problem!!

Answers

X = 87 y = 32
Explanation because I’m smart mofo hahahahahha

Solve the problem.
20) You have 340 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle
that maximize the enclosed area.
A) 87 ft by 83 ft
B) 170 ft by 42.5 ft
C) 170 ft by 170 ft
D) 85 ft by 85 ft

Answers

Answer:

QUADRATIC FUNCTIONS AND EQUATIONS

Danielle N. asked • 11/25/17

You have 356 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.

(Hint: Write formula for area as a quadratic function of length and use the concept of maximum value of quadratic function)

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Michael J. answered • 11/25/17

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Effective High School STEM Tutor & CUNY Math Peer Leader

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Let length = x

Let width = y

Area = xy

Perimeter equation is

2(x + y) = 356

x + y = 178

Substituting the perimeter equation in the area formula,

Area = x(178 - x)

Area = -x2 + 178x

If the zeros of this quadratic are 0 and 178, then the median is where the maximum area occurs.

178 / 2 = 89

Therefore, the dimensions are

length = 89 feet

width = 178 - 89 = 89 feet

Maximize the enclosed area of the rectangle is 85 ft by 85 ft.

What is perimeter of rectangle?

Perimeter of rectangle is defined as addition the lengths of the rectangle's four sides.

Let length = a

Let width = b

Area of rectangle = ab

Perimeter of rectangle equation is 2(a + b)

2(a + b) = 340

a + b = 170

Substitute the perimeter equation in the area formula,

Area = a(170 - a)

Area = -a² + 170a

If the zeros of this quadratic are 0 and 170, then the median is where the maximum area occurs.

170 / 2 = 85

Therefore, the dimensions are

length = 85 feet

width = 170 - 85 = 85 feet

The rectangle is a square.

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Geometry
I just don’t understand this easy math, someone help

Answers

Answer:

Point R: (-2,0)

Point A: (-6,-2)

Point N: (-1,-3)

Step-by-step explanation:

Reflecting a shape across the y-axis means that the y value of the coordinate of the points would reverse its sign, meaning for eg a negative number would turn into a positive one or a positive would turn into a negative.

So in this case, point R would stay the same because it's on the y-axis but the two points A and N would change. Point A is (-6,2) so if we change the y coordinate we would get (-6,-2) and point N is (-1,3) so it would become (-1,-3). Therefore the answer is:

Point R: (-2,0)

Point A: (-6,-2)

Point N: (-1,-3)

Help please :(

CROWN ???

Answers

Answer:

7&8 both true

9 is false

Step-by-step explanation:

tghdhfshj

Answer:

True

True

False

Step-by-step explanation:

2(7) -3 = 14 -3 = 11

2(8) -3 = 16 -3 = 13

2(9) - 3 = 15

The answer has to be less than 15

what is the answer for this, I have to solve the proportion,
n/18 = 12/7.5

Answers

Answer:

n = 28.8

Step-by-step explanation:

[tex]\frac{n}{18} =\frac{12}{7.5}[/tex]

n × 7.5 = 18 × 12

7.5n = 216

7.5n ÷ 7.5 = 216 ÷ 7.5

n = 28.8

find the gradient of the line AB​

Answers

Answer:

Step-by-step explanation:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

From the graph, coordinates of A and B are (-1, 1) and (5, 2) respectively.

Gradient of line AB

[tex] = \frac{2 - 1}{5 - ( - 1)} [/tex]

[tex] = \frac{1}{5 + 1} [/tex]

[tex] = \frac{1}{6} [/tex]

PLS HELP
Find (a) the perimeter and (b) the area of the figure. Use 3.14 or 22
for it. Round your answer to the nearest hundredth, if necessary.
-3 ft-

Answers

tep-by-step explanation: Ta

Find the length of a diagonal of a square with a perimeter of 16.​

Answers

Answer:

4√2

Step-by-step explanation:

If a square has a perimeter of 16,  then its side lengths are 4.

Use the pythagorean theorem to find the diagonal.

4^2+4^2=c^216+16=c^232=c^2c=√32

√32 can be simplified to 4√2.

The length of the diagonal of the square whose perimeter is 16 is 4√2

What is diagonal of the square?

The length of a diagonal is equal to the length of a side multiplied by the square root of 2

Given data ,

Let d be the diagonal of a square

Perimeter of square = 16

Perimeter of square = 4 x A

16 = 4 x A

A = 4

Therefore , diagonal of square is = 4√2

Hence ,The length of the diagonal of the square whose perimeter is 16 is 4√2

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16 gallons of water are used to completely fill 5 fish tanks. If each tank holds the same amount of water, how many gallons will each tank hold?

Answers

each tank holds 3.2 gallons of water

convert 0.00001 to a power of 10

Answers

Answer:

1 × 10⁻⁵

Step-by-step explanation:

SOMEONE PLS HELP ASAP I RLLY NEED HELP PLS DONT BE A BOT PLS AND TY

Answers

Answer:

x = 4

Step-by-step explanation:

Given a tangent and a secant from an external point, then

square of the hypotenuse is equal to the product of the external part and the entire secant, that is

DB × CB = AB² , that is

9x = 36 ( divide both sides by 9 )

x = 4

Sean is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 16 inches × 15 1/4 inches. He needs to cut another rectangle that is 10 1/2 inches by 10 1/4 inches. How many total square inches of construction paper does Sean need for his project?

Answers

Answer:

the  total square inches of the construction paper is 351.63 square inches

Step-by-step explanation:

The computation of the total square inches of the construction paper is shown below;

= (16 × 15 1 ÷ 4)  + (10 1 ÷2 × 10  1 ÷ 4)

= (16 × 61 ÷ 4) +  (21 ÷ 2 × 41 ÷ 4)

= (16 × 15.25) + (10.5 × 10.25)

= 244 + 107.625

= 351.63 square inches

Hence, the  total square inches of the construction paper is 351.63 square inches

We simply added these two

If a figure can be rotated n times, it has how many lines of rotational symmetry?

Answers

Answer: n + 1

Step-by-step explanation:

Meredith went to an aquarium with some of her friends. The tickets cost $12.95 each, and they spent $38 on souvenirs. The total amount spent was $115.70. Which equation can be used to determine how many tickets, t, were purchased?​

Answers

Answer:

12.95t+38=115.70

Step-by-step explanation:

pls help
3(x+2)=3x < 2x+18

Answers

Answer:

Step-by-step explanation:

3x + 6  - 3x < 2x + 18

6 < 2x + 18

-12 < 2x

-6 < x

Solution Set = {-5,-4,-3,-2,-1,0......}

Please mark as brainliest for further answers :)

The vertices of a triangle MNP are M(5,6) , N(0,3) , and P(4,-2). What is the coordinate of the midpoint of the line connecting the midpoints of sides MN and MP

Answers

Answer:

(3.5, 3.25)

Step-by-step explanation:

Given the vertices of a triangle MNP as M(5,6) , N(0,3) , and P(4,-2).

Midpoint of MP is expressed as;

M(5,6) and P(4,-2).

Xmp = (5+4)/2

Xmp = 9/2

Xmp = 4.5

Ymp = (6-2)/2

Ymp = 4/2

Ymp = 2

Hence the midpoint of MP is at (4.5, 2)

Similarly for MN

M(5,6) , N(0,3)

Xmn = 5+0/2

Xmn = 5/2

Xmn = 2.5

Ymn = 6+3/2

Ymn = 9/2

Ymn = 4.5

Hence the midpoint of MN is (2.5, 4.5)

The coordinate of the midpoint of the line connecting the midpoints of sides MN and MP will be expressed as;

MN(2.5, 4.5) and  MP (4.5, 2)

M = {(2.5+4.5/2, 4.5+2/2)}

M = (7/2, 6.5/2)

M = (3.5, 3.25)

Hence the required midpoint coordinate is (3.5, 3.25)

write an equation of the line that passes through 3,1 and 0,10

Answers

Answer:y = -3x + 10

Step-by-step explanation:

To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:

where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.

Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:

So the slope between the two points is -3.

From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:

y = mx + b

plug in -3 for m (the slope) and 10 for b (the y-intercept)

y = -3x + 10

So now we have our equation.

I hope you find my answer and explanation helpful. Happy studying. :)

Pls help meeeee and thank you so so so much

Answers

Answer: 1/3 x + -1

Step-by-step explanation:

Answer:

y = 2x -1

Step-by-step explanation:

Use slope intercept. The line is rising by 2 points and the y-intercept lies at -1.

If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure?

Figure is composed of a right square pyramid on top of a square prism. The sides of the square pyramid are equal to the sides of the square prism, the length and width of the square prism is w, the height of the square prism is x, and the height of the square pyramid, which forms a right angle with the center, is y.

Answers

Answer:

240 units^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

178^2 units

Coach Ellis surveyed a sample of students about their favorite sport. The circle graph below shows
some of the percents to represent the results. 100 students chose football.
How many students chose swimming as their favorite sport?

Answers

Answer:

C. 120 students

Step-by-step explanation:

10 + 15 + 20 +30 = 75%

100 - 75 = 25%

25% chose football which is 100 students

30% chose swimming

setup proportion:

25/100 = 30/x

25x = 100(30)

25x = 3000

x  = 120

could anybody help me pls

Answers

Answer:

all of them are much larger except number 2 which is close to 1

Step-by-step explanation:

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Have you ever heard the expression too much of a good thing"? Consider, for example, the fragrant water lily. This beautiful flowering plantgrows in lakes and ponds. Native to the eastern United States, the plant was introduced to some western states during the late 1800s. Thoughpeople in western states enjoy this nonnative plant', they are discovering that it can also be "too much of a good thing."The fragrant water lily has white or pink flowers that float on the surface of the water. The flowers are surrounded by large, round leavesthat are almost a foot in diameter. The leaves are attached to underwater stalks.in areas where it is not native, the plant can spread quickly. Whenthis happens the lilies can crowd out native plants. Eventually, the lilies may cover the entire surface of a lake. Then people can no longer use thelake for swimming, fishing, or boating. The crowded water lilies also affect the quality of the water. They can reduce the amount of oxygen in thewaterFor this reason, it is important to keep the spread of nonnative fragrant water lilies under control. In some areas, people manage the plantsby cutting them several times a year. Other methods for controlling water lilies include using fabric to block light from the plants. When properlymanaged, nonnative fragrant water lilies are a beautiful addition to lakes and ponds.nonnative plant a type of plant that is introduced to an area where the plant does not normally growWhich statement best describes the central idea of the passage?O 1. Fragrant water lilies are not native to the western United States.2. Fragrant water lilies can grow and spread quickly in lakes and ponds.03. Fragrant water lilies can cause problems in areas where they are not native.4. Fragrant water lilies have beautiful white or pink flowers and large, round leaves. 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