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 in the slope- intercept form with Slope= 5 and  y-intercept= -3.

  y = 5x-3

Hi

  219/438 = .50 Or 50% were found to be tagged (1/2)

Originally tagged 881.   

 881*2 = 1762 deer in the preserve.

Hi

(8x^2 + 1)/(2x^2-5x-3)   |cannot divide by ZERO

 2x^2 -5x - 3 = 0

factoring

(2x +1)(x-3) = 0

(2x +1)=0   x = -1/2

(x-3) = 0   x = 3

{x: x ≠ 3 and x ≠ -1/2}  the set of all real numbers except 3 and -1/2	

Hi

0.3x-y=0, y=2+0.25x

solving by elimination

0.3x -y = 0

.25x -y = -2



0.3x -y = 0

-.25x +y = 2

  .05x = 2

    x = 40 and y = 12   (2 + 10)



CHECKING our Answer***

  .3*40 - 12 = 12 -12 = 0

Hi

If I am understanding Your question properly

     |Cross Multiplying 

(x+5)(x+4) = (x+6)(x-2)

 x^2 + 9x + 20 = x^2 +4x - 12

      5x = -32

       x = -32/5



CHECKING our Answer***

 -7/5  / -2/5 = -42/5 / -12/5 = 7/2

Hi

 right Triangle ∠B = 32°

  cos(32°) = adj/hyp 

 8*cos(32°) = a = 6.8

 sin(32°) = opp/hyp

 8*sin(32°) = b = 4.2

Note picture for illustration purposes only. 

(the designation of the sides below is relative to angle A)

Hi

V(cylinder) = pi*r^2 h   |Note the use of ^ (uppercase 6)

 r = 7cm  V = 4618.1 cm^3

 V(cylinder) = pi*r^2 h

  V/pi*r^2 = h

 4618.1/(3.14*49) = h

       30.0cm = h  (rounded to the nearest tenth)

 

 

Hi

One hour later another car ...

Let x and (x+1)represent the times of the second and first car respectively

Question states***   Note: d = r*t, distance the same for both cars

  60kmph(x+1) = 80kmph*x    |Note: using kmph for both, assuming typo

Solving for x

  60kmph = 20x

     3hr = x , time of the second car traveling 80kmph

CHECKING our Answer***

 4hr*60kmph = 80kmph*3hr = 240km

Hi

solving for x

    | Cross Multiplying 

  16x = 48

    x = 3



CHECKING our Answer***

 16/4 = 12/3 = 4

Hi

Solving for x

4x^3/2-5=103

4x^3/2 = 108

x^3/2 = 27

 x = 27^2/3 = 

 x = 9 



 

Hi

what are the zeros in 

 3x^4+4x^3-21x^2-10x+24     |If x = 1 then 3+4-21+24 = 0

dividing the above by (x-1)results in:

 3x^3+7x^2-14x-24             |If x = 2 then 24+28-28-24 = 0

dividing the above by (x-2)results in:

 3x^2 + 13x +12

factoring

 (3x+4)(x+3)=0

 (3x+4)= 0  x = -4/3

  (x+3)=0   x = -3

the 4 'zeros' for x are: -3,-4/3,1,2

Hi

Solving Using the General Quadratic Formula:

 2x^2-7x+6 =0  |note general form: ax^2 +bx + c = 0





   x = 8/4 = 2

   x = 6/4 = 3/2

Hi

Jane is 12 years older than Kate

Let x and (x+12)represent kate and jane's age respectively

Question states***

 x = (x+12)/3

Solving for x

 3x = x+12

  2x = 12

   x = 6, Kate's age.  Jane is 18.    (6 + 12)



CHECKING our Answer***

 6 = 18/3

Hi, Previously posted.

 2L + 2W = 26FT

  L = 13-W

W*L = 36 FT^2

W(13-W) = 36

 13W - W^2 = 36

  W^2 -13W + 36 = 0

FACTORING

 (W- 9)(W-4) = 0

 (W- 9)=0   W = 9FT , L = 4FT

 (W-4)= 0   W = 4FT , L = 9FT

Hi

 2L + 2W = 26FT

  L = 13-W

W*L = 36 FT^2

W(13-W) = 36

 13W - W^2 = 36

  W^2 -13W + 36 = 0

FACTORING

 (W- 9)(W-4) = 0

 (W- 9)=0   W = 9FT , L = 4FT

 (W-4)= 0   W = 4FT , L = 9FT

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.  

Write the slope-intercept equation for the line: 

with slope -1/2 and y-intercept (0, 3)

 y = (-1/2)x + 3

Hi

(2 + 4 + 24)/3 = 10



 (6 + x)/2 = 10

  6+x = 20

    x = 14

Hi

solve the linear-quadratic system algebraically 

y= 5-x^2    |Note the use of ^ (uppercase 6)

y= x-15

 x-15 = 5-x^2

x^2 + x - 20 = 0

factoring

(x+5)(x-4)=0 Note:SUM of the inner product(5x) and the outer product(-4x) = x

(x+5)= 0  x = -5   y = -20   (-5,-20)

(x-4)=0   x = 4    y = -11   (4,-11)

Hi

It is a right triangle as the lengths of the sides satisfy the Pythagorean Theorem

 10 + 10 = 20

Hi

I'M going to a lake that is 60 miles away,an i'm driving 40 mph

how long is it going to take for me to get there?

d = r*t  OR t = d/r

 60mi/40mph = 3/2 hr Or 1 1/2 hrs

Hi

solving for n

     | Cross Multiplying 

  3n = 8

   n = 8/3  OR 2 2/3

Hi

 3a+8.6=-5.2

   3a = 3.4

    a = 1.1333

Hi

2.y=-8   horizontal line,slanted line

3.x=15   vertical line

4.y=x+3  slanted line

Hi

The second term of a geometric series is 24 and the fifth term is 3

Geometric



  

a[5] = (24/r)r^4 = 3 

           r^3 = 1/8

           r = 1/2   

 =  = 48/1/2 = 96

Hi

6x^4-7x^2+2=0

 Let a = x^2

 6a^2 - 7a + 2 = 0

factoring

(3a-2)(2a-1)=0 Note:SUM of the inner product(-4a) and the outer product(-3a) = -7a 

  (3a -2)= 0   a = 2/3

  (2a-1) = 0   a = 1/2

 x^2 = 2/3  x = ±

 x^2 = 1/2  x = ±

Hi

 d = r*t = 3mph*2hr = 6mi

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.  

find the slope, if it exists y=4x +9    slope m = 4

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.  

Determine whether each pair of equations represents parallel lines.

parallel Lines have identical slopes

3x=5y-2    OR  y = (3/5)x + 2/5

10y=4-6x   OR  y = (-6/10)x + 4/10  OR  y = (-3/5)x + 2/5

Lines are NOT parallel

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 parallel to the line y = 3/4x-6  m = (3/4)

parallel Lines have identical slopes

 y = (3/4)x -2  | Stated y-intercept of (0,-2)

Hi

£1.59 /454g = .0035£/g

£1.25 /340g = .0037£/g

Hi

The length of a rectangle is 8 cm more than two times the width

Let x and (2x+8cm) represent the widthe and length respectively

Question states***

 2(2x+8) + 2x = 40cm

Solving for x

    6x = 24

     x = 4cm. the width, the length is 16cm.  (2*4cm + 8cm)



CHECKING our Answer***

  2*16cm + 2*4cm = 40cm