Hi,

 =.833   =  percent

 

Hi,

distance between the two points 

(3, 2) and 

(–5, 6) 

 

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 which passes through (2, 1) and is perpendicular to x = –2

New Line:  m = 1/2

 y = (1/2)x + b

 1 = (1/2)·2 + b   |Using ordered pair (x,y):(2,1)  to solve for b

 0 = b,   y = (1/2)x   or x-2y = 0



line which passes through (5, –2) and is parallel to x = 4 (vertical line!)

New Line:   vertical line, x = 5 

 

Hi,

99% level of the confidence 



	a	a/2	crtical regions	

80%	0.2	10%	z <-1.282       z >+1.282

90%	0.1	5%	z <-1.645	          z >+1.645

92%	0.8	4%	z <-1.751	          z >+1.751

95%	0.05	2.50%	z <-1.96	          z >+1.96

98%	0.02	1%	z <-2.326	          z >+2.326

99%	0.01	0.50%	z<-2.576	          z >+2.576

 

Hi,

    C(0,0) major axis along the y-axis



foci ar (0, ± )

 

Hi,

  and 29.2 + 8.7 = 37.9 = sample mean

  37.9 - 8.7 <  < 37.9 + 8.7

 

Hi,

 y = x^2 - 4x + 9     |parabola, Pt(0,9) on the graph

 y = (x-2)^2 - 4 + 9  |completing Square to put in vertex form

 y = (x-2)^2 + 5      | V(2,5), 1>0 Opens Upward.   Line of symmetry x = 2

Sketch

 

Hi,

What is the rate of the boat in still water and what is the rate of the current?

Question states***  Note:  D = rt   or r = D/t

 r - c =  300/5

 r + c = 300/3

  2r = 160

   r = 80mph  and c = 20mph



and...

 

Hi,

Factoring

6ab+12a   ⇒  6a(b+ 2)

 

Hi,

Inquiry did not post

 

Hi,

Factor each polynomial completely.

1.6+15w^5  ⇒ 3(2+ 5w^5)

2.7x^2+x   ⇒ x(7x+ 1)

 

 

Hi,

Simplify

 √(x-y)√(x+y)

 

Hi, Previously List

 

Hi, previously Listed

Multiply and simplify 

 

 

 

 

Hi,

If Cynthia earns 400 dollars in 32 hours, 

how much does she earn in one hour?  dollars

 

Hi,

standard deviation is 3.33 seconds. 

A) 

    

B) 

    

 solve for n, rounding up 

 

Hi,

what is the range of the function f(x)=2/3x+5 when the domain is (-3,2,6)



x	f(x) = (2/3)x + 5

-3	3

2	19/3

6	9

 

Hi,

Find the GCF: 

1.	-18t^3,24t^5    GCF is 6t^3

2.	6x^3,28x^2,48x   GCF is 2x

 

Hi,

Find the GCF: (greatest common factor)

1.	-18t^3,24t^5       GCF is 6t^3

2.	6x^3,28x^2,48x     GCF is 2x

 

Hi,

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

y= x^2 - 2x - 35   |completing the Square to fine the Vertex

y=(x-1)^2 -1-35

y = (x-1)^2 - 36   V(1,-36)

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

 

Hi,

How many gallons of a 4% acid solution should be mixed 

with 30 gallons of a 14% acid solution to obtain a mixture that is 8% acid?

  acid = acid

 .04x + .14·30 = .08(30-x)  |Solve for x, may first multiply thru by 100 if you like

 

Hi,

you did not list the system to be solved

Note:

A consistent system has at least one solution.

An inconsistent system has no solutions.

An independent system has exactly one solution. ****

A dependent system has infinitely many solutions

 

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 with m = -2 and passing through Pt(2,-8)

Line

 y = -2x + b

 8 = -2·2 + b   |Using ordered pair (x,y):(2,8)  to solve for b

12 = b

 y = -2x + 12

 

Hi,



  C(0,0), 

 

Foci (0±, 0) 

Standard Form of an Equation of an Hyperbola opening up and down is:

   with C(h,k) and vertices 'b' units up and down from center,  2b the length of the transverse axis

Foci units units up and down from center, along x = h

& Asymptotes Lines passing thru C(h,k), with slopes m =  ± b/a

 

Hi,

Multiply and simplify 

 

 

 

 

Hi,





    x+1 = x^2-2x+1     |Squaring both sides of EQ

       x^2 -3x = 0

      x(x-3) = 0

       x = 3   (throwing out extraneous solution x = 0)



and...

 

   

 

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: (-3,-3), perpendicular to y= -3x

New perpendicular Line  m = 1/3  (negative reciprocal of -3)

 y = (1/3)x + b   |Using ordered pair (x,y):(-3-3)  to solve for b

-3 = (1/3)*(-3) + b

-2 = b

 y = (1/3)x -2

 

Hi,

    |Cross Multiply to solve

   x^2 - 4 = x^2 +2x - 24

         20 = 2x

         10 = x

and...

 

 

Hi,

-a^2b^-2 divided by a^-2b^2/a^4b^-2 (or multiplied by the reciprocal)

 

 

Hi,

A plane passes over a car going 300 mph heading south. The car is traveling at 70 mph going north. 

In how much time will they be 805 miles apart?

Question states*** Note D = rt

  300t + 70t = 805mi

       t = 805mi/370mph

 

Hi,

at the start of a trip the gas tank of a car is 3/4 full.

After travelling and consuming 12 liters of fuel the gas tank is now 1/2 full.

 1/4 tank is 12L

 How many liters of fuel does the gas tank hold when full