Answer:
x=31.5
Step-by-step explanation:
Answer:
The next two terms are 14 and 20.
Step-by-step explanation:
This is because the pattern is add 6, so you add 6 to 8 which equals 14, then 14 plus 6 equals 20.
Answer:
y = 3/4( x+5)( x+4) ( x-1)
Step-by-step explanation:
The formula for the polynomial is
y = c( x- a1)( x- a2) ( x-a3) where c is a constant and a1,a2,a3 are the zeros
We have zeros -5,-4 and 1
y = c( x- -5)( x- -4) ( x-1)
y = c( x+5)( x+4) ( x-1)
We have a y intercept of -15
That means x=0 and y = -15
-15 = c ( 0+5)( 0+4) ( 0-1)
-15 = c( 5) ( 4) (-1)
-15 = c( -20)
Divide each side by -20
-15/-20 = c
3/4 =c
The equation is
y = 3/4( x+5)( x+4) ( x-1)
Answer:
a. 25.9% b. $.76 per pound
Step-by-step explanation:
For part a. the formula for percent decrease is
% dec = 
We are solving for % dec. Filling in:
% dec =
simplifies to
% dec =
which gives us, rounded to one decimal place:
% dec = 25.9%
For part b. we are going to use that percent decrease and fit it into a new equation to solve for the new price of tomatoes when we know the original price. Filling in:
which could be written instead as

Now you can see what will happen on the right when we divide by 100...they cancel out. That looks like this, when we divide both sides by 100, as we must because this is an equation:

Simplifying on both sides:

Now we will multiply both sides by 1.03:
.26677 = 1.03 - new and
-.76323 = -new so
the new price is .76 per pound