(-infinity,3) (3, infinity)
x does not equal 3
Answer:
1st one
Step-by-step explanation:
The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:




This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:

You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."
In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of)

= 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7
Substituting these into the quadratic formula gives us:



As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:

and

So the height is 8 feet at t = 3.63 and t=.12
It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.
Another way of finding Surface Area is
- SA= 2LW+2LH+2HW
L= Length
W= Width
H= Height
the answer, and explained, would be this
2. SA= 2(12)(10)+2(12)(16)+2 (10)(16)
(<em>multiply</em>)
3. SA= 240 + 384 + 320
(<em>add</em>)
<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em>.</em><em>.</em><em> </em>
<em><u>SA</u></em><em><u>=</u></em><em><u>944ft3</u></em><em><u> </u></em>
We can round numbers to estimate.
337 is approximately 340.
103 is approximately 100.
340 - 100 = 240
John needs to save around $240 more in order to be able to afford the bike.
Hope this helps!