Answer: y = (x + 1)*(x - 4)
Step-by-step explanation:
The points of the equation are:
( -2 ,6), ( -1 0)
, ( 0, -4) ( 1 ,-6) (2,-6) ( 4 ,0) and ( 5,6)
The first thing you can see is that the roots are:
( -1 0) and ( 4 ,0)
the roots are x1 = -1 and x2 = 4
and we know that we can write a polynomial as:
y = a*(x - x1)*(x - x2)
So our function can be:
y = a*(x - (-1))*(x - 4)
we also know that this graph passes trough the point (0, -4) so we can chek if this equation is correct:
y(0) = a*(0 + 1)*(0 - 4) = -4
a*1*-4 = -4
then y = (x + 1)*(x - 4)
35-7 which would equal 28, but that answer wouldn't be exactly correct, as this isn't in correct formation. An equation would be 2x + 7 = 35.
35-7= 28 divided by 2(2x) would equal 14
So Mary is 14 and her sister is 21.
21 + 14 equals 35
Answer:
x = 41/6 or 6.8333333
Step-by-step explanation:
When solving for x, work backwards to get to x, here we have 4 more than 6 times x, so subtract the 4 from both sides...
6x + 4 = 45 becomes
6x = 41
Now get rid of the 6 by dividing both sides by 6 to isolate x...
6x = 41 becomes
x = 41/6 or 6.8333333 as a decimal
Multiply the number by the percent (230*20= 4,600). Then divide that number by 100 (4,600/100= 46). Your answer is 46.
A’s increase is 1.8/1.5=6/5; B’s increase is 1/0.6=5/3.
A formula for A is A(t)=1.5(6/5)^t and for B, B(t)=0.6(5/3)^t where t is years since 2004.
When A=B, 1.5(6/5)^t=0.6(5/3)^t.
Taking logs: log1.5+tlog(6/5)=log0.6+tlog(5/3), t(log(5/3)-log(6/5))=log1.5-log0.6.
tlog(25/18)=log2.5, t=log2.5/log(25/18)=2.7893 approx.
This occurs during 2006 around mid-October.
Common sales=1.5(6/5)^2.7893=0.6(5/3)^2.7893=$2.4943 billion.