Rosa saw ducks and cows at a farm. in all, she counted 9 animals and 28 legs. how many ducks and how many cows did she see?

4 ducks and 5 cows

Step-by-step explanation:

Lets assume that there are x number of ducks.

Since there are a total of 9 animals,

then, there must be (9 - x) number of cows.

Each duck has 2 legs and each cow has 4 legs.

So the total number of legs will be 2x + 4(9 - x).

We are told that there are 28 legs.

Therefore,

2x + 4(9 - x) = 28

2x + 36 - 4x = 28

- 2x = - 8

x = 4

ducks = 4

cows = 9 - 4 = 5

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints