Hi,

 

Hi,

How many ways can a committee of 3 people be selected from 18 people?

  18C3  ways

 

Hi,

x²+(x+2)²-34=0   || Good start!

  ||expanding

  2x^2 + 4x - 30 = 0

 (2x -6)(x+5) = 0

   x  = 3

0r

   x = -5

  

 

Hi,

4^(2x-1) = 2^1/2

**2^2(2x-1) = 2^1/2

  2(2x-1) = 1/2

   4x - 2 = 1/2

     4x = 5/2

      x = 5/8

 

Hi,



 = 

Note: the Denominator 

 

Hi,

A does 4/5 of a work in 20 days.  1/25 per day 

 In 3 days then 3/25 of work:   1/5 - 3/25 = 2/25 left for B to do in 3 days

  

 B can do 2/75 of the total work in one day. 

  37 1/2 days to do the whole work

 

Hi,

bag with  coins:  ten pennies, six nickles and five dimes

withdraw 2 coins..

P(nickle then dime) = 

 

Hi,

Each book cover is made from 1/8 yards of fabric. 

There is 8 1/2 yards of fabric  0r 17/2 yards  0r 68/8 yards

 

Hi,

HIGHLY recommend setting something like this Up in an Excel worksheet

	x	x^2	2x	x-2

	0	0	0	-2

	5	25	10	3

	3	9	6	1

	2	4	4	0

sum	10	38	20	2

sum^2	100			

 

Hi,

 What is the vertex form of the equation?

y = x^2 + 4x – 3

y = x^2 + 4x +4   -4 – 3

y=(x+2)^2 - 7   Vertex form:  V(-2,-7)

 

Hi,

find 3 consecutive odd integers 







such that 3 times the smallest is 5 more than 2 times the largest

  3x = 2(x+4) + 5

   x = 13

consecutive odd integers are: 13, 15, 17

and...

 39 = 34 + 5

 

Hi,

-2h - (5 - 3h) = -2h - 5 + 3h = h-5

 

Hi,



The perimeter of a rectangle is 38ft.  

The length is 1ft longer than the width. 

  2x + 2y = 38ft

   x + y = 19ft    

  (y + 1) + y = 19

       2y = 18

        y = 9ft, the length.  The width x is  10ft

 

Hi,

write and equation in slope intercept form for the line passing through points 

(-3,7) and 

( 2,3)   

 y = mx + b

 y = (-4/5)x + b   ||Using the  (x,y) ordered pair (2,3) to solve for b

 

 23/5 = b

 y = (-4/5)x + 23/5 

 

Hi,

write and equation in slope intercept form for the line passing through points 

(2,2) & 

(0,1)   m = (2-1)/(2-0) = 1/2

 y = mx + b

 y = (1/2)x + b   ||Using the  (x,y) ordered pair (0,1) to solve for b

 

 1 = b

 y = (1/2)x + 1

 

Hi,

find the slope for the line passing through (x,y) ordered pairs: points 

(2,4) &  

(3,2) 

 

Hi,

find the slope for the line passing through (x,y) ordered pairs: points 

(-2,1)&

(-3,4) 

 

Hi,

The second and fifth terms of a geometric series are -15 and 405 respectively. 

   r = 

  ⇒    and r  = -3



= 24605

 

Hi,

(x,y) ordered pairs:points 

(7, 3) and 

(9, 3)   D = 

 

Hi,

y= -0.002x + 212°F

207°F = -.002x + 212°F



Boling point of water decreases as elevations increase.

 

Hi,

Which of the following points is 5 units away from the point (3, 6)? 

 D = 

0r

  

Trying the different points:

Pt (8,6) ⇒ 

 

Hi,



an open rectangular tank with a square base of side x metres and with a volume of 8m³" 

V =   h = 

This is an "Open tank"  where length and width are x:

S = 

 S =

 

Hi,

-4x - 2y = 20

 2x + y = 19   ||Multiplying 2nd EQ thru by 2 and adding to the 1st EQ

      0 ≠ 58  NO solution for this systme of EQs

 

Hi,

 

Hi,

IF...what You have is...

f(x) = x^2 + 8  and g(x) = 

fog(x) = x-1 + 8 = x + 7    ||Note: 

 

Hi,

Y=bX+a, Yes. (0,a)

Slope = SP/SSx = 8/10   Yes.

SSresidual = SSy(1-r^2) = 38(1-(.9177)^2) = 6  Yes. to nearest whole number.



 X Y

 1 2

 2 3

 3 10 

 

Hi,

2x+2y+1=0  ⇒     Yes.  Good work.

IF  x = 1  ⇒  

Thus the listing for the (x,y) ordered pair (1,-3/2)

 

Hi,

C(-4,0)

A(-2,4)  m = -4/-2 = 2

B(6,0)

A(-2,4)  m = -4/8 = -1/2

CA is perpendicular to BA, Yes ABC is a right triangle

 

Hi,

x^2+y^2+12x+10y+61=16

x^2+12x+y^2+10y= -45

x^2+12x+ 36 + y^2 + 10y + 25  = -45 + 36 + 25 

       C(-6,-5)  and r = 4

Standard Form of an Equation of a Circle is  

where Pt(h,k) is the center and r is the radius

 

Hi,

3^(4x-1)=3^31  ⇒ 4x-1 = 31   and   x = 8

 

Hi,

f(x) = x^4 + 22x^2 + 21

f(x) = (x^2 + 21)(x^2+1)

 (x^2 + 21)(x^2+1)= 0 ,  

 (x^2 + 21)= 0,  x = ±  

0r(x^2+1)= 0     x = ± i