Three numbers are chosen at random.

1 answer:

7 0

So we have x,y,z
smallerst=x
middle=y
z=largest

so
middle is 4 more than smallest
y=4+x

largest is 2 time smallest
z=2x

sum (addition ) of the three is 54
x+y+z=54

so subsitute
z=2x
y=x+4
x=x

therefor
x+y+z=54
x+x+4+2x=54
add like terms
4x+4=54
subtract 4
4x=50
divide both sides by 4
x=25/2=12.5

the smallest number is 12.5

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What are the answers to all of these questions?

VikaD [51]

We have that

N 11)
a) graph the equation y=x²-3x-10

using a graph tool
see the attached figure

b) Determine the roots of the equations
the roots of the equations are the values for y=0
x²-3x-10=0
x²-3x-10=(x+2)*(x-5)=0
the roots are
x1=-2
x2=5

see the attached figure problem 11

N 12) what is the value of x in the equation?
3x²=7x

3x²=7x-------> 3x²-7x=0--------> x*(3x-7)=0

x1=0
3x-7=0------> 3x=7------> x=7/3

the values of x are
x1=0
x2=7/3---> 2.33
see the attached figure problem 12

N 13) what is the value of x in the equation?
x²-5x=6----------> x²-5x-6=0
x²-5x-6=0-------> (x+1)*(x-6)=0
the values of x are
x1=-1
x2=6

N 14) what is the value of x in the equation?
2x²-5x=12--------> 2x²-5x-12=0

using a graph tool
see the attached figure problem N 14
2x²-5x-12=0----------> (x+3/2)*(x-4)=0

the values of x are
x1=-3/2
x2=4