The answer is b. 11.
You can find this by multiplying the two parenthesis together. In order to do this, you can use a multiplying process known as FOIL (First, Outer, Inner, Last), where you multiply parts of the parenthesis in this order to make sure you do so properly.
First Numbers:
2x * x = 2x^2
Outer Numbers:
2x * 6 = 12x
Inner Numbers:
-1 * x = -1x
Last Numbers:
-1*6 = -6
Now place them all in that order and simplify.
2x^2 + 12x - x - 6 ---> simplify x terms
2x^2 + 11x - 6
Since the middle term (the one with the x value) has a coefficient of 11, that gives us a b value of 11.
Answer:
D., x= 19.7 or ≈20. g
Step-by-step explanation:
P(x) = [100(15+x)]/(100+x)
When 0 g additional salt is added, x=0. we have
P(0) = [100(15+0)]/(100+0)= 15
x=0, P=15
We can see this point only on the graph D.
P(x) =29 = [100(15+x)]/(100+x)
29 = [100(15+x)]/(100+x)
29(100+x) = 100(15+x)
2900+29x = 1500+100x
2900-1500=100x-29x
1400 = 71x
x ≈ 19.7 g or ≈20. g
From the graph D, we can see that to get 29% we need to add ≈ 20 g of salt.
Answer:
80.7 inches
Step-by-step explanation:
circumference = 2 * pi * r
2 * pi * r = 507 inches
r = (507 inches)/(2 * pi)
r = (507 inches)/(2 * 3.14159)
r = (507 inches)/(6.2832)
r = 80.7 inches
Answer:

Step-by-step explanation:
we know that
The profit is equal to the number of dolls multiplied by the selling price minus the number of dolls multiplied by the cost of each doll minus the cost of the promotion of the dolls
To make a profit, the number of dolls multiplied by the selling price minus the number of dolls multiplied by the cost of each doll must be greater than the cost of the promotion of the dolls
Let
d -----> the number of dolls
The linear inequality that represent this problem is

Adds 20d both sides

Rewrite
