Answer:
Step-by-step explanation:
(2x + 1)(ax + b) = 6x² - 5x + c
Expand the left side and put that half into standard form:
2ax² + 2bx + ax + b = 6x² - 5x + c
2ax² + (2b + a)x + b = 6x² - 5x + c
So now look at the x terms. We have "2a" x² on left and 6 x² on right, so:
2a = 6
a = 3
Then look at the x terms, those coefficients will then be equal:
2b + a = -5
2b + 3 = -5
2b = -8
b = -4
and finally, then non-x terms are equal:
b = c
-4 = c
so:
a = 3, b = -4, c = -4
Answer: The parabola has its concavity downwards, so we need a function in the model:
With a negative value of 'a'
The vertex is (0,0), so we have that:
The x-coordinate of the vertex is given by the equation:
So we have a function in the model:
With a < 0
The only option with this format is B:
Step-by-step explanation:
Answer:
neither?
Step-by-step explanation:
(x + 4) / 3 = 12.....multiply both sides by 3, cancelling the 3 on the left side
x + 4 = 12 * 3
x + 4 = 36
x = 36 - 4
x = 32
Answer:
Explanation:
The<em> cone</em> is said to <em>fit perfectly inside the can</em> when the diameter of the cone and its height are equal to those of the can.
The shape of a can can be considered a cylinder.
The<em> volume of a cone that fits into the can</em> is 1/3 the volume of the can.
Thus, the volume of our cone is (1/3) × 42 unit³ = 14 units³
