Step-by-step explanation:
$13.50-$1.50=12
-$1.50
12÷.60=
20 miles to airport
Easy!
Since the greatest multiple of 9 lesser than 79 is 72, you get a remainder of 7
8 7/9
Answer:
option A
Step-by-step explanation:
"<span>Curve passes through the point (0,8) and has the property that the slope of the curve at every point pp is four-times the y-coordinate."
Slope of tangent line at a given point = value of derivative of function at that point.
Thus, dy/dx = derivative = 4y
Thus, dy/dx = 4y. Rearrange this with all y on one side and all x on the other:
dy
--- = 4dx
y
Integrating both sides, we get ln|y| = 4x + ln C, or ln|y| - ln C = 4x
|y|
Then ln -------- =4x. This can be written as an exponential function:
C
|y|
--- = e^(4x). Thus, |y| = C*e^(4x). Given that this curve passes thru (0,8),
C
8 = C*e^0, so C = 8. Then the function question is y = 8e^(4x).</span>
The function h(t) = -16t² + 72t will equal zero when the ball hits the ground:
-16t² + 72t = 0. Solving for the time, t, we factor -16t² + 72t : 16t (-t + 4.5) = 0.
This results in t = 0 and t = 4.5 sec. The ball hits the ground after 4.5 sec.
Problem 12.
Starting with A:(-5,3): Reflecting A over the y-axis results in B: (5,3). Translating B 3 units to the right results in C: (8,3). Finally, translating C down by 4 units results in D: (8,-1) (answer).