Answer:
(5/2, 29/2), and this represents a maximum
Step-by-step explanation:
g(x) = -2x^2 + 10x + 2 is a quadratic function with coefficients {-2, 10, 2}.
The formula for the axis of symmetry (which passes through the vertex) is
x = -b/ [2a]. Here, a = -2; b = 10. Therefore, the axis of symmetry is
x = -10/ [2(-2)] = -10/(-4) = 5/2
Evaluate the function g(x) = -2x^2 + 10x + 2 at x = 5/2 to determine the y-coordinate of the vertex:
g(5/2) = -2(5/2)^2 + 10(5/2) + 2, or
g(5/2) = -2(25/4) + 25 + 2, or
g(5/2) = -25/2 + 27, or
g(5/2) = 14.5
The vertex is thus (5/2, 29/2), and this represents a maximum, because the coefficient of the x^2 term is negative (the curve opens downward).
Since x and y must be positive, 7x and 11y are positive either. That means 7x + 11y > 0. Then we would obtain N > 0 because 7x + 11y = N. That also means N must be positive. So if we set N to be zero or negative, there would be no solution. Thus, to produce an answer of No solution, the highest number N could be is 0.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Note how this drawing is symmetrical about a horizontal line drawn halfway between AB and CD and passing through the origin.
Line AB has been subdivided into two equal pieces of length 15, so the length of AB is twice 15, or 30. Due to the symmetry shown, line CD has the same length: 30.
Answer:
The bullet point between the numbers means times in this case, in some other cases it would mean "and" also known as plus. Therefore, the correct answer is the second one.
Step-by-step explanation:
In each half unit cube there is 6 cubes. ⇒
6 + 6 + 6 = 18 ⇒
But, this is not one of the options.⇒
So, we have to make the equation a bit different to solve it. ⇒
2 x 3 x 2, is the first option. ⇒
This is incorrect, as it equals 12. ⇒
The sum we are looking for is 18. ⇒
The second answer is 2 x 3 x 3. ⇒
This equals 18, we have found the correct answer. ⇒
So, there are a total of 3 half-unit cubes. ⇒
There are a total of 18 cubes. ⇒
I hope this helps!
