Answer:
x + y = 500
215x + 615y = 187,500
Step-by-step explanation:
The first equation can show the amount of land. The farmer has 500 acres to plant corn, x, and cotton, y.
x + y = 500
The second equation can show the cost. The farmer has $187,500 to invest when corn costs $215 per acre and cotton costs $615 per acre.
215x + 615y = 187,500
The system of equations is
x + y = 500
215x + 615y = 187,500
Answer:
79.6 cm^3
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
sphere A radius 2 cm so r[A] = 2 cm
sphere B radius 3 cm so r[B] = 3 cm
distance between the surfaces of the 2 spheres is 1 cm
To find volume of each sphere and the difference in volume:
pi r^2 * r - (1/3) pi r^2 * r = (2/3) pi r^3
Answer:
The answer is all real numbers
Step-by-step explanation:
4(x + 2) = 4x +8
Distribute the 4:
4x + 8 = 4x + 8
Then subtract 4x and 8 from both sides
0 = 0
This statement is true so its all real numbers
The first thing we notice is that the function is reflected. So we can start by reflecting it with respect to the x-axis.
We do this by adding a negative sign in the function:

Now, we have the function reflected, but in the wrong position. We can track its position by the vertex. It was originally at (0,0) and remains at (0,0) after the reflection.
But the final function have its vertex at (-5,0), so we have to translate the function 5 units to the left. we do this by adding 5 to the x in the function:

Now, to check if there isn't any dilatation, we can check on other point in the graph to see if it checks out.
In the blue graph, we see the point (-3,-4), so let's input x = -3 and see if it checks out:

We got y = -4, so it checks out.
Thus, the answer is: