Answer:
390
Step-by-step explanation:
Answer:
2 possible towers
Step-by-step explanation:
2 possible towers
Step-by-step explanation:
The height of the tower required is 10 cm, and that height may be obtained by 'x' number of blocks A and 'y' number of blocks, knowing its respective height, so 'x' and 'y' must accomplish the equation:
[tex] 10 = 2x + 3y [/ tex]
The maximum value for 'x' is 5; a higher value will give a higher than 10 cm height as a result. So, the possible answers for 'x' are: (0,1,2,3,4,5). Note that both 'x' and 'y' values must be integers, and the only numbers that satisfy that condition are (x = 2, y = 2) and (x = 5, y = 0). The other options for 'x' will give a noninteger value for 'y' because of the equation above.
So, there are just two options.
Answer:
The answer is (4, -6)
Step-by-step explanation:
Point C starts at (2, -5). The triangle moves 2 units right, so 2 + 2 = 4 and 1 unit down, so -5 - 1 = -6
Answer: The maximum value is 35.94
Step-by-step explanation:
We have the function:
f(x) = -16*x^2 + 34*x + 20
This is a quadratic equation, and the first thing we can see is that the leading coefficient is smaller than zero, which means that the "arms" of the graph will go downwards, which means that the maximum of our function will be at the vertex.
First, we know that the vertex of a quadratic function is when f'(x) = 0.
f'(x) = 2*(-16*x) + 34 = 0.
x = -34/(-2*16) = 34/32 = 17/16.
Now we evaluate our function in the point x = 17/16.
f(17/16) = -16*(17/16)^2 + 32*(17/16) + 20 = 35.94
The maximum value is 35.94
Answer:
Step-by-step explanation:
because rational number is a number that can be expressed as a ratio of two integers
