Answer:
10 for 8.49
Step-by-step explanation:
8.49 divided by 10 equals .849
5.40 divided by 6 equals .900
A function is positive if it lies above the x axis.
This function is positive before x = -4, i.e. over the interval 
It is negative elsewhere, i.e. over the interval 
So, the only correct option is the second one.
Answer:
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Step-by-step explanation:
y= 1/3x
40 + 10x = 5x - 30
To begin isolating x, subtract 40 from both sides.
40 + 10x - 40 = 5x - 30 - 40
10x = 5x - 70
Subtract 5x from both sides.
10x - 5x= 5x - 70 - 5x
5x = -70
Finally, divide both sides by 5.
5x/5 = -70/5
x = -14
Answer:
x = -14
9514 1404 393
Answer:
a. 1.48 seconds
Step-by-step explanation:
You want to find the larger value of t such that h(t) = 10.
-16t^2 +25t +8 = 10
16t^2 -25t +2 = 0 . . . . subtract the left side to get standard form
Using the quadratic formula, we find the values of t to be ...
t = (-(-25) ± √((-25)^2 -4(16)(2)))/(2(16)) = (25±√497)/32
t ≈ 0.08 or 1.48
The ball goes in the hoop about 1.48 seconds after it is thrown.
__
<em>Additional comment</em>
The quadratic formula tells us the solution to ...
ax² +bx +c = 0
is given by ...

Here, we have a=16, b=-25, c=2. Of course, our variable is t, not x, but the relation is the same.