50 x 3/10 = 15
12 x 2/3 = 8
weight of 3rd bag =
15+8=23 lbs
Answer: t= 13.2 seconds
Step-by-step explanation:
The quadratic function for ball's height in terms of time t is given as
s(t)= -16t² +192t + 256
Now we want to find out the time at which the ball hits the ground.
When the ball hits the ground, the height of the ball will become zero so in the above equation we can put s(t)=0
0= -16t² +192t + 256
or 16t² -192t - 256 = 0
Solving this quadratic equation, we have
t= 13.211 and t= -1.211
Since time can't be negative so
t= 13.2 seconds
F(x) = -(x + 8)² - 1
<span>The function (not its graph) decreases on interval [-8, ∞). It is a quadratic function in vertex form. That form makes it easy to pick out the one extremum, where x equals -8. The leading coefficient is negative, so the extremum must be a maximum. The function decreases as x increases from there. </span>
<span>Notice that I include the value -8 in the interval. The function does not have instantaneous decrease at that value, but that is not what it means for a function to be decreasing over an interval. </span>
<span>Let a and b be any two values on [-8, ∞), such that a < b. </span>
<span>-8 ≤ a < b </span>
<span>Then f(a) > f(b). Therefore, function f is decreasing on interval [-8, ∞).</span>
The correct answer is B) <span>x + 4 = 3x + 6
Since both equations start with y = something, we can set the two equations equal to each other and solve.</span>