Hi,

A cheetah runs 70mi/hr if he runs for 15 mins how far will it reach?

15min = 1/4 hr  and D = rt

 

 

Hi,

  |Removing Parenthesis and combining Like Terms





  | Evaluating expression when a=2 and b=-1

 

Hi,

Using the following steps, one need not worry about the 'reverses inequality' rule

-5x/3 + 2 > 12

-5x/3 + 2  + 5x/3  > 12 + 5x/3   

 2 > 12 + 5x/3

 -6 > x  

Using this method of solving,(multiplying/dividing by negative number) Yes,reverses the inequality sign

-5x/3 + 2 > 12





        x < -6

 

 

Hi,

 

Hi,

A number is less than one fourth the sum of three times the number and four.

 x < 1/4(3x + 4)

 4x < 3x + 4

  x < 4

For Ex

 

Hi,

the vertex form of a Parabola opening up(a>0) or down(a<0),  

where(h,k) is the vertex  and  x = h  is the Line of Symmetry



Parabola opening Downward a = -1 < 0

y= -x^2+1  V(0,1) x = 0 the line of symmetry &  When y = 0,  x = ± 1 

 

Hi,

Using the standard slope-intercept form for an equation of a line y = mx + b

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

Line Through: (1,-4), parallel to y = -x + 3 ( m = -1) Slopes the same

New Line

 y = -x + b  ||Using pt(1,-4) to solve for b

-4 = -1 + b

 -3 = b 

y = -x - 3



Through: (2,1), perp. To y = 2x - 2 (m = 2) New Line, m = -1/2

New Line

 y = (-1/2)x + b  ||Using pt(2,1) to solve for b

 1 = -1 + b

 2 = b

  y = (-1/2)x + 2

 

Hi,

Goal: isolate the variable on one side of the Equation

3g-6(g-8)=42   ||deal with the parenthesis FIRST

3g - 6g + 48 = 42  ||Combine Like Terms

  -3g + 48 = 42    || continue to Combine like terms (subtract 48 from both sides)

  -3g + 48 - 48 = 42 - 48

     -3g = -6      ||Finally, isolate g by dividing both sides by -3

       g = 2 

and...

 

Hi,

Re TY, Following can also be found using the Excel function BINOMDIST()

BIONOMIAL Distrubtion: P(late) = .65 , n = 10 

Using TI 83 Calculator

P(x ≤ 2) is binomcdf(10, .65, 2) 0r Excel function BINOMDIST(2,10,0.65,TRUE)

P(x > 7) = 1 - P(x ≤ 7) = 1 -  binomcdf(10, .65, 7)

0r                            = 1 - BINOMDIST(7,10,0.65,TRUE)

Plain calculator works as well using P = nCx*  

P(x ≤ 2) = P(x = 0) + P(x = 1)  + P(x = 2)

               = 10C0(.65^0)(.35)^10 + 10C1(.65)^1(.35)^9 + 10C2(.65)^2(.35)^8 

P(x > 7) = P(x = 8) + P(x = 9)  + P(x = 10)

Stattrek.com can also be used to check Your work

 

Hi,

 y^2-2x+6y+5=0

 2x-5 =  y^2 + 6y

 2x-5 + 9 =  y^2 + 6y + 9   ||Adding 9 to both sides to complete the Square on the right side 

2x -5 + 9 =  (y+3)^2

 2x + 4 = (y+3)^2          ||Multiplying thru by 1/2

     Parbola, V(-2,-3), line of symmetry y = -3

 vertex form of a Parabola opening right(a>0) or left(a<0), 

 where(h,k) is the vertex and  y = k  is the Line of Symmetry

 

Hi,

Parabolas:

the vertex form of a Parabola opening up(a>0) or down(a<0)is:  

where(h,k) is the vertex 

the vertex form of a Parabola opening right(a>0) or left(a<0)is: 

 where(h,k) is the vertex 

Question states***

parabola opening to the left has a vertex at (-1, -3)

 x = a(y+3) - 1 , a <0   |Using  Pt(-3,-2) to solve for a

 -3 = a(-2 + 3)^2 - 1

 -2 = a

 x = -2(y+3) - 1

the coefficient of the squared term is -2

 

Hi,

Sry, we do not have the capability of face-to-face tutoring on this site

5( x-2)-2(x-5)=9  	

5x -10 -2x + 10=9	     Distributive Property ('Distributing' the 5 and -2)

5x-2x-10+10=9 	        Cummutative Property ( 'Moving' Terms around )

   3x = 9

    x = 3

Migt recommend the following as a reference with examples:

http://www.purplemath.com/modules/numbprop.htm

 

Hi,

Correct Set Up is:

 0.5X + 50(0.12)= 0.4(X+50)   ||The amount of 'solution' on both sides must be the same

   

         X = 140gal of 50% solution needed

and..

 

Hi,

49 coins...

five more dimes than all the nickels and quarters combined

 q + n + d = 49      || 

 q + n + ((q+n)+5) = 49

       2q + 2n = 44

        q + n = 22   0r   And... the number of dimes = 27  

Question states*** value of $5.20

CENTS makes sense

 25q + 10d + 5n = 520

 25q + 10·27 + 5(22-q) = 520

 25q + 10·27 + 5·22- 5q = 520

                20q = 140

                  q = 7, the number of quaters.  Number of Nickels = 15

and...

 

 

 

Hi,

Write the polynomial in descending powers of the variable 8w^2-6w^4+w^6

 

Hi,

There are 24 students on a college tour 1/3 of them are 17

and the rest   are 18 

 

             16 = x , 16 are eighteen

 

Hi,

the idea is to take the steps necessary so that the  is isolated on one side of the EQ

2x+3x-5+7=10x+3-6x-4    ||combine Like Terms on each side of EQ

 5x + 2 = 4x - 1        || combine Like Terms from BOTH sides of the EQ

5x+ 2 - 4x - 2 = 4x-1  - 4x -2

  x = -3   ||Note: when x has been isolated, the we can Read x = -3 !



7=-5(2a-1)-(-11a+6)  ||"eliminate the parentheses"  Yes!

7 = -10a + 5 +11a - 6   ||combine Like Terms on each side of EQ

7 = a - 1               || combine Like Terms from BOTH sides of the EQ

8 = a  

 

Hi, previously Posted

When 5 is added to 4 times a number the answer is 32

Question states***

 4x + 5 = 32

  4x = 27

   x = 27/4  0r  

 

Hi,

When 5 is added to 4 times a number the answer is 32

Question states***

 4x + 5 = 32

  4x = 27

   x = 27/4  0r  

 

Hi,  

How do you graph 

Y = x^2 -6x +8   || Putting into Vertex Form by completing the Square

y =(x-3)^2 - 9 + 8

y = (x-3)^2 - 1    and when (x-3)^2 - 1 = 0 ,,  x = 3 ± 1

the vertex form of a Parabola opening up(a>0) or down(a<0),  

where(h,k) is the vertex  and  x = h  is the Line of Symmetry

Parabola opening Upward, V(3,-1) and x - 3 the line of symmetry

x-intercepts (2,0) and (4,0)

 

Hi,  

Note:  

 that is:



will Let You finish it Up

 

Hi,  

a student scores 82%,86% and 78% on her three exams. 

What score is needed on the fourth exam for the student to have an average of 85% for all four exams

   solve for x

 

Hi,  

(a + 5)^3 = (a+5)(a^2 + 10a + 25) 

          = a(a^2 + 10a + 25) +5(a^2 + 10a + 25)= a^3 + 15a^2 + 75a + 125 

According to the Bionomial Theorem:

 

Hi,  

twice a number increased by 35 is equal to the square of the number

Question states***

  2x + 35 = x^2

   x^2 - 2x - 35 = 0

factoring

 (x-7)(x+5) = 0

   (x-7)= 0, x = 7

0r (x+5) = 0 x = -5

and..



 

 

Hi,  

find the measure of two complementary angles  and 

such that the larger angle is six less than twice the smaller angle?

 (90°  -x) = 2x-6°  

   96°   = 3x

   32°   = x, smaller angle.  Larger is 58°  

and...

 

 

Hi,  

One positive number is one-fifth of another number

Question states*** difference between the two numbers is 116

 x - y = 116   

  |Multiplying thru by 5 so as all denominators = 1

   5x - x = 580

       4x = 580

        x = 145   and y = 29   

and...

 

 

 

Hi,  

 team won 17 more than three times as many games as they lost

Losses  x

Wins   3x + 17

Question states***plays 105 games

 x + (3x + 17) = 105

      4x = 88

      x = 22, losses.  Wins = 83

and...

 

Hi

51 baskets and 14 more 2-pointers than foul shots

1-point foul shots:   x   

2-point field goals: x + 14  

3-point field goals:  51-x - (x+14)= (37-2x) 

Question states***total of 88 points

 x + 2(x+14) + 3(37-2x) = 88

  x + 2x + 28 + 111 - 6x = 88

                    -3x = -51

                      x = 17

and..

 

 

 

Hi,  



 
Solved by pluggable solver: Plot Any Inequality
Graphing function : 

  

  

 

Hi,  

How many different sets of 4 marbles can you package if you have blue, white, yellow and pink marbles?

Reference is being made to what colors the marbles are in each possible set

for example:

possible Sets:

all different colors: 1

All the same color:  4 

3 of one color:  4*3 = 12

pairs of the same color: 6  bbyy,bbww,bbpp, yyww,yypp, ppww 

2 of one color and 2 others different: 4*3 = 12

 

Hi,  

Note: Midpoint Pt(x,y):  ( , )

Midpoint (-2,-6)

 (x,y), 

(2,-3)  x-2 = -2, x = 0   and y + 3 = -6, y = -9

coordinates (x,y) of the other endpoint of the segment are (0,-9)