Correct answer: y=(2/3)x
The line passes through the origin (0,0) and the pair (3,2)
the equation y=(2/3)x satisfies both points:
for (0,0): 0=(2/3)*0 = 0
for (3,2): 2 = (2/3)*3 = 2
and therefore is the correct linear function of the line described.
This can be solved using the system of equations:
5500 = 1000c + 1500s
5 = c + s
As the first equation can have different combinations, it is the second equation that defines just how much acres or corn or strawberries(or mathematically, it defines the values of c or s in the first equation) there are. Therefore, the equation " 5 = c + s" is the constraint.
Answer:
4x-8
Step-by-step explanation:
simplify by combining like terms so 4x and then -24+16=-8
A=future amount
P=present amount
r=rate in decimal
t=time in years
n=how many tmes per year it is compounded
they want 110,000=A
present amount=?
rate is 6% or 0.06
time is 12 years
semianually means 2 times per year, so n=2
divide both sides by (1.03)^24 using your graphinc calculator
54112.7109=P
$54,112.71 should be invested
Do you know the Rational Roots Theorem? You could dream up possible rational roots by writing them in the form
plus or minus {1,2, 3,6} OVER plus or minus {1,2,5,10}. For example, 3/10 is rational and just might be a rational root. Next, determine whether or not this is a rational root here thru synthetic division.
If you do not know this theorem, consider using one of the following:
quadratic formula
completing the square
graphing (look for the x-values at which the parabolic graph here crosses the x-axis).
