9) The area of a rectangle is given by the trinomial x? - 2x - 35. What are
the possible dimensions of the rectangle? Hint: Find the length and the
width by factoring the area.

First, reorder the numbers so they go from least to greatest. It should look like this:

-11, -9, -6, 0, 2, 18, x, 20, 36, 37, 46, 47, 51.

Mean: 19.25

The mean is the average. To find it, add all numbers together and divide by how many numbers there are.

Median: 19

The median is the center number in the ordered line of numbers. I added a bolded variable (x), so you can see where it is. Because it's between two numbers, add those numbers and divide by 2.

Mode: N/A

There's not a mode. A mode is a repeating number in the sequence.

Range: 62

Range is the difference between the largest and smallest number.

[tex]51 - ( - 11) = 62[/tex]

47.)

The range is larger than the highest temperature because the temperature values are both positive and negative. Due to this, the smallest number (-11) becomes positive as the negative sign is distributed to it and adds to the largest number (51).

48.)

Again, mean is the average. Add all values together and divide by the number of values there are.

[tex] = \frac{( - 11) + ( - 9) + ( - 6) + 0 + 2 + 18 + 20 + 36 + 37 + 46 + 47 + 51}{12} [/tex]

[tex] = \frac{231}{12} [/tex]

[tex] = 19.25[/tex]

Answer:

1/2x +2

Step-by-step explanation:

Let's say there are 2 teams : A & B

A leads with x points, while B score 2 points less than half of B's score (x)

B = 1/2 of B score - 2

The difference of A - B = x - (1/2x - 2) = x - 1/2x + 2 = 1/2x + 2

The required difference in score is 1/2x + 2.

Given that,

In a basketball game, one team's score is two points less than half the other team's score, which is x. What is the difference in the score is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Let the score of the second team be x,
One team's score is two points less than half the other team's score
= 1/2x - 2
Difference of the score = x - (1/2x - 2)
                                       = x -1/2x +2
                                       = 1/2x + 2

Thus, the required difference in score is 1/2x + 2.

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Answer:

Copy's area is 16 times bigger then triangle area.

Step-by-step explanation:

Given:

Area of copy = 72 unit²

Find:

How bigger copy compared to triangle

Computation:

Area of triangle = [1/2][base][height]

Area of triangle = [1/2][3][3]

Area of triangle = 4.5 unit²

So.

Area of copy / Area of triangle

72 / 4.5

16

So,

Copy's area is 16 times bigger then triangle area.

Answer:

8

Step-by-step explanation:

   (-11x/2 + 3) -2(-11x/4 -5/2)

=  -11x/2 + 3 -(2*-11x/4) -(2*-5/2)

=  -11x/2 + 3 -(-22x/4) -(-5)

=  -11x/2 + 3 +22x/4 + 5

=  -22x/4 + 22x/4 + 3 + 5

= 0 + 8

= 8

The value of the simplified expression is 8.

We have,

(-11/2 x + 3) - 2 (-11/4 x - 5/2)

To simplify the expression ((-11/2)x + 3) - 2((-11/4)x - 5/2), distribute the -2 to each term within the second set of parentheses and then combine like terms.

((-11/2)x + 3) - 2((-11/4)x - 5/2)

= (-11/2)x + 3 - 2 x (-11/4)x - 2 x (-5/2)

= (-11/2)x + 3 + (11/2)x + 5

= (-11/2)x + (11/2)x + 3 + 5

Combine like terms.

= 3 + 5

= 8

Therefore,

The simplified expression is 8.

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Answer:

80,543 employees total

Step-by-step explanation:

22.1% of total = 17,800 employees

0.221 of x = 17800

0.221 • x = 17800

x = 17800 / 0.221

x = 80542.98643

x ≈ 80543 employees total

Answer:

Step-by-step explanation:

total number of students=21

students play neither sport=6

students who play at least one sport=21-6=15

Let play basketball=X

and play baseball=Y

n(XUY)=n(X)+n(Y)-n(X∩Y)

15=11+6-n(X∩Y)

n(X∩Y)=17-15=2

reqd. probability=2/21

The tile in a bathroom or kitchen is one example of tessellation. It's where you place geometric shapes together to fill a space. In this case, we have squares placed together to fill the space of the wall or floor. There cannot be any gaps or overlaps.

Another example would be bricks as this is composed of rectangles placed together without any gaps or overlaps. There are many other examples as well usually done as floor or wall patterns of some kind. Some tessellations involve using more than one shape (eg: one pattern uses squares and equilateral triangles placed together).

To get the perimeter, you add up all the outer sides

side1+side2+side3 = (5+x)+(5+x)+(xy) = 10+2x+xy

The like terms 5 and 5 add to 10. The other pair of like terms x and x add to 2x. There isn't anything to pair with xy, so we leave it as is.

Answer:

option 4

Step-by-step explanation:

so first you would simplify to x>-6 and since there is no line under the greater then it would be and open circle and it is shading to the right because of the greater than symbol and if would start of -6 so option 4 is the correct answer

Answer:

Draw an open circle on-6 and shade to the right.

Step-by-step explanation:

Step-by-step explanation:

(g•f(x))

Where ever you see x in g(x), you put f(x)

2(x-7)+1

[expanding]

2x-14+1

2x-13

I'm not 100% sure

Answer:

D. The time it took to collect the data.

Answer:

The area is 10 cm².

Step-by-step explanation:

The area of a triangle is 1/2 * bh where b = base and h = height. We know that b = 4 and h = 5 so the area is 1/2 * (4 * 5) = 1/2 * 20 = 10 cm².

Answer:

y = 4

Step-by-step explanation:

Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation.

-5 + 3y + -2y = -1 + 2y + -2y

Combine like terms: 3y + -2y = 1y

-5 + 1y = -1 + 2y + -2y

Combine like terms: 2y + -2y = 0

-5 + 1y = -1 + 0

-5 + 1y = -1

Add '5' to each side of the equation.

-5 + 5 + 1y = -1 + 5

Combine like terms: -5 + 5 = 0

0 + 1y = -1 + 5

1y = -1 + 5

Combine like terms: -1 + 5 = 4

1y = 4

Divide each side by '1'.

y = 4

Simplifying

y = 4

Answer:

8

Step-by-step explanation:

Since we want to find the length of a line segment, we can use the distance formula.

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1} )^2 }[/tex]

(x₁, y₁) and (x₂, y₂) are the points given.

The points we are given are: (-2,3) and (6,3). Therefore,

[tex]\\x_{1} =-2\\y_{1}=3 \\x_{2} = 6\\y_{2} =3[/tex]

Plug each value into the formula.

[tex]d=\sqrt{{(6--2})^2+(3-3 )^2} }[/tex]

Evaluate inside of the parentheses first.

[tex]d=\sqrt{(6+2)^2+(0)^2}[/tex]

[tex]d= \sqrt{(8)^2+(0)^2 }[/tex]

Evaluate the exponents.

8²= 8*8=64

[tex]d=\sqrt{64+(0)^2}[/tex]

0²= 0*0= 0

[tex]d=\sqrt{64+0}[/tex]

Add 64 and 0.

[tex]d=\sqrt{64}[/tex]

Take the square root of 64.

[tex]d= 8[/tex]

The length of the line segment is 8

Answer:

11+2x

Step-by-step explanation:

Answer:

2x + 11

Step-by-step explanation:

"twice a number x": Multiply the variable x with 2 ⇒ 2x

"11 more than...": Add 11 ⇒ + 11

Combine the two terms:

2x + 11 is your answer.

~

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

Answer:

Jason is incorrect.

The caterpillar's rate is 2 ft/min

Step-by-step explanation:

The rate of motion is defined as the quotient between the distance covered (in our case 16 feet) divided by the time it took to cover that distance (in our case 8 minutes)

Then, the rate is:

[tex]rate=\frac{distance}{time} = \frac{16\,\,ft}{8\,\,min} = 2\,\frac{ft}{min}[/tex]

Answer:

The answer is 16

Step-by-step explanation:

I did the test

Answer:

Answer is 16

I just did the test its right i swear.

Answer:

5/4

Step-by-step explanation:

-60/-48

factor the expression

(-15)(4)/(-12)(4)

cancel out 4

-15/-12

divide by -3

=5/4

Answer:

-5/4

Step-by-step explanation:

Slope is rise over run which means that the -5 will apply to your y values and the 4 will apply to your x values. This slope would have a point move down 5 units and to the right 4 units to get the location of the next point when going left to right. Because the slope contains a negative, the slope will be angled downward left to right. The negative only applies to the 5.

Hello, I hope you are having a splendid day. :)

The slope of this line is -5/4.

This equation is written in slope-intercept form, which looks like this:

y=mx+b

Where

m is the slope and b is the y-intercept.

So the slope is the number before x (in y=mx+b form).

The number before x is -5/4.

Therefore, -5/4 is the slope. Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others with joy

Good luck.

Complete question :

At an ice carving competition, each carver starts with a block of ice with the dimensions shown. The block is wrapped in a special reflective material to keep it from melting before the competition starts. The side lengths of the block are 1.1, 0.8, 1.3. How much reflective material is needed to cover the block completely, without any overlaps?

Answer:

6.7 unit^2

Step-by-step explanation:

Taking the dimension of the ice block as :

1.1 by 0.8 by 1.3

The total reflective material which will used to cover the ice block must have the same surface area as the ice block.

Shape of ice block = rectangular prism.

Taking the surface area if a rectangular prism :

Using the relation :

2(lw * lh * wh)

Where l = Length = 1.1

Width w = 0.8

Height h = 1.3

Therefore,

2[(1.1*0.8) + (1.1*1.3) + (0.8*1.3)]

2[(0.88) + (1.43) + (1.04)]

2(3.35)

= 6.7 unit^2

Reflective material should be 6.7 unit^2

The total reflective material required is 6.7 square units

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.

Given that:-

The total reflective material which will be used to cover the ice block must have the same surface area as the ice block.

The shape of the ice block = is a rectangular prism.

Taking the surface area of a rectangular prism by using the relation :

SA = 2(  lw x   lh  x  wh  )

Where l = Length = 1.1

Width w = 0.8

Height h = 1.3

Therefore,

SA = 2 [(1.1 x 0.8) + (1.1  x 1.3) + (0.8  x  1.3)]

SA =  2  [  (0.88) + ( 1.43 ) + ( 1.04 )  ]

SA  =  2 ( 3.35 )

SA  = 6.7 square units

Therefore the Reflective material should be 6.7 square units

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Answer:

2916

Step-by-step explanation:

1944  ÷  (2/3)  = 2916

Answer:

1/1296

Step-by-step explanation:

P( 5) = number of 5's over total numbers possible

       = 1/6

P( 5,5,5,5) = 1/6 * 1/6 * 1/6* 1/6

                 =1/1296

Answer:

[tex]\Large \boxed{\frac{1}{1296} }[/tex]

Step-by-step explanation:

Outcomes of a dice: 1, 2, 3, 4, 5, 6

There are 6 total outcomes.

The probability of landing a 5 on a dice is 1/6.

P(landing a 5 four times) = 1/6 × 1/6 × 1/6 × 1/6 = 1/1296

Answer:

B=20m

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The area of a triangle is calculated by multiplying height to the base and that divided by two

b × h ÷ 2 = 120

b × h = 240

b × 12 = 240

b = 20

Answer:

(Choice C) C Replace one equation with a multiple of itself

Step-by-step explanation:

Since system A has the equations

-3x + 12y = 15 and 7x - 10y = -2 and,

system B has the equations

-x + 4y = 5 and 7x - 10 y = -2.

To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).

So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)

So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.

So, choice C is the answer.

We replace one equation with a multiple of itself.

Answer:

it is c and yes

Step-by-step explanation:

I got it in khan academy

Answer:

You can learn math by

Step-by-step explanation:

practicing and remember not to overwork yourself

Answer:

D). Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.

Step-by-step explanation:

Since every person is expected to drink one can of soda:

Let the price of each can of soda = p

and the total number of people present at the picnic = n

∵ Total price = p(the price of each soda can) * n(number of people)

Thus, Diego correctly asserts that if he multiplies the 'unit price for a can of soda by the number of people attending the picnic', he would be able to deduce the total cost of soda. Hence, Max is incorrect and option D is the correct answer.

Answer:

  -2 and -18

Step-by-step explanation:

It is useful to consider the factors of 36:

  36 = (-1)(-36) = (-2)(-18) = (-3)(-12) = (-4)(-9) = (-6)(-6)

The sums of these factor pairs are -37, -20, -15, -13, -12.

The factor pair of interest is -2 and -18.

Answer:

2.733333....

Step-by-step explanation: