Answer:The graph below represents which system of inequalities? graph of two infinite lines that intersect at a point. One line is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line
Step-by-step explanation:y ≤ −2x + 3 y ≤ x + 3 y ≥ −2x + 3 y ≥ x + 3 y ≤ −3x + 2 y ≤ −x + 2 y > −2x + 3 y > x + 3
I am guessing that the correct form of equation
is:
f(x)
= 16,800(0.9)^x
where
x is the exponent of (0.9)
Since
we are looking for the original population and x stand sfor the number of years,
therefore x=0
substituting:
f(x) = 16,800(0.9)^0
Since (0.9)^0 would just be equal to 1. Therefore
the original population is
16,800.
Answer: B. 16,800
This is a maximization problem so we apply derivatives here to determine the unknown variables in the problem.
In this problem, we represent x as the number of hats made, and y as the number of Afghans made by Mrs White.
Equation 1 relating to the time it takes to make these is expressed:
7x + 4y = 68
Another equation that represents inequality to the number of hats and Afghans respectively is expressed:
x<= 14
y<=11
the third equation expresses the income from selling these items expressed as
P = 21 x + 9y
we subtitute 1 to 3
P = 9(68-7x)/4 + 21x = 153-15.75x + 21 x = 153 -5.25x
So by trial and errror, x and y should be integers, we get two cases of which x and y should be
1) x = 4 ; y = 10
2) x = 8 ; y = 3
Subsituting to 3, P1 = 174$ while P2is equal to $195, Answer then is 8 hats and 3 Afghans in total.
3)
26 + ( 3x + 1 ) = 180
27 + 3x = 180
3x = 180 - 27
3x = 153
x = 153/3
x = 51
___________________
4)
( 4x + 1 ) + ( 3x + 4 ) = 180
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/5
x = 25
