How do you find the mean, median, mode, and range of a set of numbers?

Answer:

(x + 1)(x + 2)(2x + 1)(x - 3).

Step-by-step explanation:

From the leading and last coefficients, 2 and -6  the values +/- 1, +/-2 , +/- 3 could be roots of this equation ( well, up to 4 of them).

Try x = 1:

f(1) = 2(1)^4 + 1^3 - 14(1)^2 - 19(1) - 6 = -36 so its not 1.

f(-1) = 2 - 1 - 14 + 19 - 6 = 0 do x = -1 is a root.

Therefore (x + 1) is a factor  (By the factor theorem)

Try x = 2:

f(2) =  32 + 8 -56 - 38 - 6 = -6o so x =2 not a root.

f(-2) = 32 - 8 - 56 + 38 - 6 = 0 so x = -2 is a root and (x + 2) is a factor.

(x + 1)(x + 2) = x^2 + 3x + 2.

Long division:

                        2x^2 - 5x - 3   <-----------Quotient

                      --------------------------------------------

x^2 + 3x + 2 )     2x^4  +   x^3   -14x^2 -  19x  -  6

                          2x^4  + 6x^3 +  4x^2  

                                      -5x^3  - 18x^2 - 19x

                                      -5x^3  - 15x^2 - 10x

                                                      -3x^2 - 9x  - 6

                                                      -3x^2  - 9x - 6

                                                       .......................

2x^2 - 5x - 3 = (2x + 1)(x - 3)

So Finally,   the factors are (x + 1)(x + 2)(2x + 1)(x - 3).

Answer:

None of the listed choices are a solution

Step-by-step explanation:

y = 4x - 28

y = 1.5x - 18

Set the equations equal since both equal y

4x - 28 = 1.5x - 18

Subtract 1.5x from both sides

2.5x - 28 = -18

Add 28 to both sides

2.5x = 10

Divide both sides by 2.5

x = 4

---------------------

use x= 4 in either equation

y = 4x - 28

y = 4(4) - 28

y = 16 - 28

y = -12

--------------------

Solution (4, -12)

46.4 inch

Step-by-step explanation:

Area=l×b

93.6 =5.2×b

93.6/5.2 =b

So b= 18

Again,

p=2(l+b)

p=2(18+5.2)

p= 2×23.2

p=46.4

Answer:

600

Step-by-step explanation:

Answer:

80 sq ft

Step-by-step explanation:

this is a trapezoid and the formula for area is:

1/2 x height x (sum of the bases, which are parallel)

A = 1/2(10)(10+6)

= 5(16)

= 80 sq ft

Answer:

11seconds

Step-by-step explanation:

Given the height of the hovercraft expressed as;

(x)=-(x-11)(x+3)

The height of the hovercraft on the ground is 0, hence;

0 =-(x-11)(x+3)

-(x-11)(x+3) = 0

Multiply both sides by minus

(x-11)(x+3) = 0

x-11 = 0 and x+3=0

x = 11 and -3

Since time cannot be negative, hence the hovercraft will land after 11seconds

The answer is C for the first question. Blank 1 the answer is 29. Blank 2 the answer is 7. I hope this helps, have a good day!

Answer:

70

Step-by-step explanation:

167-97 = 70

Answer:

In Fig. 8.27 , AP and, BP are tangents to a circle wit

Step-by-step explanation:

Answer:

C. 17.4

Step-by-step explanation:

add all the numbers and then divide  

11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174

then divide by the amount of numbers there is which is 10.

174/10 = 17.4

Answer: ? = 42

Step-by-step explanation:

 (a-b)² = a² - 2ab + b².   From 9p² -?p + 49   we see  

9p² = (3p)² and  49 = 7²   Then Middle term is  -2·(3p)·7 = -42p

Answer:

x = 10/7 or x = -10/7

Step-by-step explanation:

By using the completing the squares method, we have to divide the coefficient of the x term by 2, square it and add to both sides

From what we have here, the coefficient of the x term is 0

Thus, we have it that;

0 = 100 - 49x^2

We can proceed to use the difference of two squares here;

Whereby;

a^2 - b^2 = (a-b)(a + b)

0 = (10-7x)(10+7x)

10 - 7x = 0 or 10 + 7x = 0

7x = 10 or 7x = -10

x = 10/7 or x = -10/7

Answer:C26 is also a Category of EAD (Employment Authorization Document) provided to immigrant workers in U.S. These are dependents of H1b visa holders commonly referred to as H4-EAD.

Step-by-step explanation:

Answer:

Its 15

Step-by-step explanation:

Answer:

x

=

2

Step-by-step explanation:

Answer:

Hello! answer: x = 12

Step-by-step explanation:

with these you have to cross multiply so 2 x 24 = 48 so now we know that 4 multiplied by something will equal 48 so we can simply do this by doing 48 ÷ 4 and 48 ÷ 4 = 12

Answer:

D = 48kg

Step-by-step explanation:

The ratio of the weights of A and B is equal to the ratio of the weights

of C and D.

From the above question

A : B = C : D

This can also be interpreted as

A/B = C/D

A is 20 kg

B is 24kg

C is 40kg

D is ?

Therefore:

20/24 = 40/D

Cross Multiply

20D = 24 × 40

D = 24 × 40/20

D = 48

Therefore, D = 48kg

Answer:

+1-1=0

4x>-8

x>-2

Step-by-step explanation:

Answer:

x>−2

Step-by-step explanation:

Answer:

150.8 ft3

Step-by-step explanation:

Answer:

P(Y) = 2/10 = 1/5

Step-by-step explanation:

From the above question:

Total number of marbles = 10 marbles

Number of yellow marbles = 2 yellow marbles

Number of blue marbles = 4 blue marbles

Number of red marbles = 4 red marbles.

The probability of choosing a marble that is yellow is calculated as:

= P(Y) = Number of yellow marbles/Total number of marbles

P(Y) = 2/10

P(Y) = 1/5

Answer:

hi bye good luck

Step-by-step explanation:

Answer:

idek;)

Step-by-step explanation:

Step-by-step explanation:

[tex]2 {x}^{2} - 6x + 3 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{6± \sqrt{12} }{4} \\ x = 2.4 \: or \: 0.6[/tex]

Answer:

[tex]X=18.6ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of swing's crossbar [tex]H=10ft[/tex]

Angle [tex]\theta=40 \textdegree[/tex]

Depth of outrigger [tex]d_=3ft[/tex]

Generally the equation for slant height l is mathematically given by

[tex]l=\frac{opposite}{sin\theta}[/tex]

Therefore

[tex]l=\frac{H}{sin\theta}[/tex]

[tex]l=\frac{10}{sin 40\textdegree}[/tex]

[tex]l=15.6ft[/tex]

Since the Depth of outrigger

[tex]d_=3ft[/tex]

Therefore Length of the board X

[tex]X=l+d[/tex]

[tex]X=15.6+3[/tex]

[tex]X=18.6ft[/tex]

Answer:

2.77083333333

Step-by-step explanation:

I assume. Do not hold me account for mistakes, I apologize if my work is incorrect. Have a good day/night :}

Answer:

16 ounces

Step-by-step explanation:

1 pound = 16 ounces

16*5 = 80 ounces

5 pounds = 80 ounces

80-64 = 16 ounces

Answer:

Obtuse triangle

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. The square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.

An acute triangle is a triangle with acute angles (less than 90°). The square of the longest side is less than the sum of the square of the two sides.

An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles (less than 90°). The square of the longest side is larger than the sum of the square of the two sides.

An isosceles triangle is a triangle with two equal sides.

Given a triangle whose side lengths are 8, 16, and 18, the longest side is 18.

Since no two sides are the same hence it is not an isosceles triangle.

Also, 18² > 16² + 8²; therefore this is an obtuse triangle

Answer:

Solution given:

we have

f(x)=x²-9x-36

let

y=x²-9x-36

when

x=0

y=-36

when

y=0

0=x²-9x-36

x²-12x+3x-36=0

x(x-12)+3(x-12)=0

(x-12)(x+3)=0

either

x=12

x=-3

So,

x and y intercepts are (-3,0)(12,0) and 0,-36)

Answer:

C y=e^x-3

Step-by-step explanation: