The symbol
means that:
we translate ( shift ) the triangle ABC -4 units horizontally and 2 units vertically.
This means that the triangle needs to be shifted 4 units left, and 2 units up.
The only figure which displays such a movement of the triangle (left, up) is the one in the attachment below. That is the answer.
Answer:
Each check was $30.99
Step-by-step explanation:
Subtract:
$451.89 - $358.92 = $92.97
Divide:
$92.97 ÷ 3 = $30.99
This means each of the three checks were $30.99
Answer:
40
Step-by-step explanation:
Hi there,
Before solving this problem, it is useful to know that 25% is equivalent to 1/4 or 0.25. There are two ways to solve this problem:
1.) Multiply 0.25 by 160
or
2.) Divide 160 by 4.
Either way, the answer is still 40. Hope this answer was useful. Cheers.
A) The signs of the first derivative (g') tell you the graph increases as you go left from x=4 and as you go right from x=-2. Since g(4) < g(-2), one absolute extreme is (4, g(4)) = (4, 1).
The sign of the first derivative changes at x=0, at which point the slope is undefined (the curve is vertical). The curve approaches +∞ at x=0 both from the left and from the right, so the other absolute extreme is (0, +∞).
b) The second derivative (g'') changes sign at x=2, so there is a point of inflection there.
c) There is a vertical asymptote at x=0 and a flat spot at x=2. The curve goes through the points (-2, 5) and (4, 1), is increasing to the left of x=0 and non-increasing to the right of x=0. The curve is concave upward on [-2, 0) and (0, 2) and concave downward on (2, 4]. A possible graph is shown, along with the first and second derivatives.
