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vlabodo [156]
3 years ago
7

The ball's height (in meters above the ground), xxx seconds after Antoine threw it, is modeled by: h(x)=-2x^2+4x+16 How many sec

onds after being thrown will the ball hit the ground? seconds
Mathematics
2 answers:
zlopas [31]3 years ago
5 0

Answer:

Step-by-step explanation:

If we are given the quadratic model, we know that the height of anything on the ground is 0 meters, so that model becomes

0=-2t^2+4t+16 I changed your x's to t's since t is for time.

Now we need to factor that quadratic and solve for time:

0=-2(t^2-2t-8)

Since -2 definitely does not equal 0, then

t^2-2t-8=0

Factor that and find t values of 4 and -2.  Again, we know that time will never be negative, so

t = 4 seconds.

stiks02 [169]3 years ago
3 0

Answer:

Answer is 16. Not 4.

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1 x 16 = 16
2 x 8 = 16
4 x 4 = 16
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Read 2 more answers
Determine the singular points of the following differential equation and classify each singular point as regular or irregular.
anygoal [31]
Let be
p(x)=<span>(x^{2} -1
q(x)=</span><span>3(x+1)
r(x)=1
the three coefficients of the equation
a is a singular point of the equation if   lim p(x) =0
                                                              x------>a 
so let's find a
</span> lim p(x) = lim x²-1=a²-1=0
  x------>a    x------>a 
a²-1=0 implies  a=+ or -1

so the sigular points are a= -1 or a=1

case 1
for a= -1
lim (x-(-1)) q(x)/p(x)=lim (x+1) 3(x+1)/x²-1=lim3(x+1)/x-1= 0/-2=0
x------> -1                  x------> -1                    x------> -1
lim (x-(-1))²  r(x)/p(x)= lim(x+1)²/x²-1= 0/-2=0
x------> -1                    x------> -1

lim (x-(-1)) q(x)/p(x) and lim (x-(-1))²  r(x)/p(x) are finite so  -1 is regular 
 x------> -1                        x------> -1
singular point

case 2
a=1
lim (x-1)) q(x)/p(x)=lim (x-1) 3(x+1)/x²-1=lim3(x+1)/x+1= 3
x------> 1                  x------> 1                    x------> 1
lim (x-1))²  r(x)/p(x)= lim(x-1)²/x²-1= =0
x------> 1                    x------> 1

1 is also a regular singular point


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