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Butoxors [25]
2 years ago
7

Simplify the given!! Please help

Mathematics
1 answer:
ZanzabumX [31]2 years ago
6 0

Answer:

\frac{2x+1}{x+4}

Step-by-step explanation:

\frac{4x^2-1}{(x+4)(2x-1)}

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2 years ago
A train tunnel is modeled by the quadratic function h ( x ) = − 0.18 ^ 2 + 25 , where x is the distance, in feet, from the cente
son4ous [18]

Answer:

a)  25  feet

b)  Base width   23.57  feet

Step-by-step explanation: The expression:

h(x)  =  -0,18*x²  +  25

is a quadratic function ( a parable). as  a < 1   open down

The vertex of the parable is V(x,y)

a) V(x)  =  - b/2a    =  0/2a    V(x)  = 0    to find   V(y) we make use of the original equation and plugging  x = 0

y = - 0.18*x²  +  25    ⇒  y  =  0 + 25      ⇒  y  = 25

The  Vertex is  V  (  0 , 25 )

Now vertex in this case is the maximum height.

h(max)  =  25  feet

b) To find how wide is the base of the tunnel. We have to consider that for  h   = 0  we are at ground level therefore the two roots of the quadratic equation will give the wide of the base of the tunnel

Then

h (x)  =  -018*x² +25     ⇒  0  =   -018*x² +25      ⇒ x²   =  25/0.18

x²  =  138.89

x  =  ±   11.79  ft

So we found interception with  x axis   and wide of the base is

2 *  11.79    =  23.57   feet

8 0
2 years ago
What is the elapsed time between the two times shown on the clocks?
sergejj [24]
3 hours and 45 minutes
7 0
3 years ago
Read 2 more answers
How to convert 2 and 4/5 into an improper fraction
zvonat [6]

Answer:

Step-by-step explanation:

2 = 4/2 .  4/5 can not be a improper fraction

4 0
2 years ago
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