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Submitted By roberty352

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Words 567

Pages 3

Module 3 exercise

1) 3x+5=50

3x+5-5=50-5

3x=45

3x/3=45/3

X=15

3x+5=80

3x+5-5=80-5

3x/3=75/3

X=25 2) F(x)=-x^2+2x+2

X=-b+/-sqrt(b^2-4ac)/2a

X=-2+/-sqrt(2^2-4*-1*2)/2*-1

X=-2+/-sqrt(4+8)/-2

3-(-4)

3+4

2^2-4*-1*2

4-(-8)

4+8

X=-2+/--sqrt(4+8)/-2

X=-2+/-sqrt(12)/-2

Sqrt12

Sqrt(4*3)

2sqrt(3)

X=-2+/-SQRT(12)/-2

X=-2+2sqrt(3)/-2

2(-1+sqrt 3)/-2

-1+/- sqrt (3)/-1

3) f(x)=16^2+200x+4

X=b/2a

X=200/2*-16

X=-200/-32

X=6.25

F(x)=-16x^2+200x+4

F(6.25)=-16*(6.25)^2+200*6.25+4

=16*39.0625+1250+4

=-625+1250+4

=-625+1254

= 629 feet 4) F(x)=2^x+1

6=2^x+1

6=2^7

6=128

5) P(x)=x^2-4000x+7,800,000

X^2-4000x+7,800,000-3,800,000=3,800,000-3,800,000

X^2-4000x+4,000,000=0

X^2-2*2000*x+(2000)^2=0

(x-2000)^2=0 x-2000=0 x-2000+2000=0+2000 x=2000 6) F(x)=20,000(1/2)^x

3=20,000(1/2)^3

3=20,000*1/8

3=2500

7) F(x)=-x^2+3x+6

X=-b/2a

X=-3/2*-1

X=-3/-2

X=1.5

1.5=-1.5^2+3*1.5+6

=-2.25+4.5+6

=-2.25+10.5

=8.25 8) X+y=210

X=y^2

Y^2+y=210

Y^2+y-210=210-210

Y^2+y-210=0

(y+15)(y-14)=0

Y+15=0

Y+15-15=0-15

Y=-15 y-14+14=0+14 y=14 x+y=210 x-15=210 x+15+15=210+15 x=225

(225,15)

X+y=210

X+14=210

X+14-14=210-14

X=196

(194,14)

(225,15),(196,14)

9) 12=x*y

X=5+2*y

X=5+2y

12=(5+2y)*y

12=5*y+2y*5

12=5*y+2y*y

12=5y+2y^2

2y^2+5y=12

2y^2+5y-12=12-2

2y^2+5-12=0

2*12=24

24=2*2*2*3

(8.3)

(2y-3)(y+4)

2y*y+3y*4-3*y-3*4

2y^2+8y-3y-12

2y^2+5y-12=0

(2y-3)(y+4)=0

2y-3=0

2y-3+3=0+3

2y=3

2y/2=3/2

Y=3/2

Y+4=0

4+4-4=0-4

Y=-4

10) 28=x*y

X=8+3y

28=(8+3y)*y

28=8*y+3y*y

28=8y+3y^2

3y^2+8y=28

3y^2+8y-28=28-28

3y^2+8y-28=0

3*28=84

84

84=2*2*3*7

(14,6)

(3y+14)(y-2) y-2=0 y=2+2=0+2 y=2 3y+14=0

3y+14-14=0-14

3y=-14

3y/3=-14/3

Y=-14/3

X=8+3y

X=8+3*2

X=8+6

X=14…...

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