Answer:
First and second box had 80 and 75 lb flour originally.
Step-by-step explanation:
Let the two boxes contained x lb and y lb of the flour respectively.
Both the boxes contained 155 lb of flour in total.
So the first equation will be,
x + y = 155 --------(1)
If the 20 lb of the flour is taken out then amount of flour in first box = (x - 20) lb
and added to the second box then flour in second box = (y + 20) lb
After the mixing of flour statement says that "the first box will contain
of the flour now in the second box."
For this statement equation will be

19(x - 20) = 12(y + 20)
19x - 12y = 380 + 240
19x - 12y = 620 ------(2)
Equation (1) × 12 + equation (2)
12(x + y) + (19x - 12y) = 155×12 + 620
31x = 1860 + 620
31x = 2480
x = 
x = 80 lb
from equation (1)
80 + y = 155
y = 155 - 80
y = 75 lb.
Therefore, first and second boxes had 80 lb and 75 lb of flour originally.
C -21 because -21 as a absolute value is 21
Answer:
The statement means that after 2 hours, there are 90 bacteria in the culture.
Step-by-step explanation:
The number of bacteria after x hours is given by the function states in the exercise. We have that f(x) will be the number of bacteria after x hours.
Which statement best describes the meaning of the equation f(2) = 90 ?
The statement means that after 2 hours, there are 90 bacteria in the culture.
Answer:
Leo bought 4 large coffee cups which total 12 dollars. and the rest were 9 regular sizes which equals to 13 coffees in total.
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is a parabola shaped like a U.
The minimum value is at (-2, -3).
Find the zeroes:
(x + 2)^2 = 3
Find the zeroes:
x + 2 = +/- √3
x = +/-√3 - 2
x = -0.27, -3.73.
So the graph cuts the x axis at (-0.27, 0) and (-3.73, 0)
when x = -4 , f(x) = 1 and when x = 1, f(x) = 6.
So you can now draw the curve through these 5 points and it will be shaped like a U, symetrical about the line x = -2