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Harman [31]
2 years ago
11

Write the quadratic function in vertex form. Then identify the vertex.

Mathematics
1 answer:
ddd [48]2 years ago
7 0

Answer:

Step-by-step explanation:

To put the equation into vertex form, we need to complete the square

g(x) = (x^2 - 4x + ...) - 1\\g(x) = (x^2-4x+(\frac{4}{2})^2 ) - 1 - (\frac{4}{2})^2 \\g(x) = (x-2)^2 - 5\\

This is in the form

y = a(x-h)^2 + k\\(h, k)

So, the vertex is (2, -5)

and g(x) = (x-2)^2-5

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Find the indefinite integral. (Use C for the constant of integration.) <br> e2x 25 e4x dx.
Sladkaya [172]

Answer:

The solution is  \frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

Step-by-step explanation:

From the question

    The function given is  f(x) =  \frac{e^{2x}}{ 25 + e^{4x}} dx

The  indefinite integral is  mathematically represented as

          \int\limits  {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx

Now  let  e^{2x} =  u

=>   \frac{du}{dx} 2e^{2x}

=>   2 e^{2x}dx =  du

So

\int\limits  {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx =  \int\limits  {\frac{1}{ 2(25 + u^2)} } \, du

= \frac{1}{2} \int\limits  {\frac{1}{ 25 + u^2)} } \, du

=  \frac{1}{2} \int\limits  {\frac{1}{ 5^2 + u^2)} } \, du

= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5}  +  C

Now substituting for  u

\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

3 0
3 years ago
Find an angle between 0 and 360     that is coterminal with 900
Vladimir79 [104]

I'm guessing its 1800.

4 0
2 years ago
Plz help no one would help me with this i beg of u
Tems11 [23]

Answer:

1.) D. Rotation

2.) D. Side H

3.) A. Reflection

4a) AB≅WX  

     DC≅ZY

4b) C≅Y

      B≅X

Hope this helps!

4 0
3 years ago
I’m confused in the exponential
Anna [14]

Answer:

this mean in case of multiplying exponents with same base you should add the exponent and keep base same.

example:

{6}^{4}  \times  {6}^{5 }  =  {6}^{4 + 5}  \\  =  {6}^{9}

4 0
1 year ago
Solve for V<br><br> 6+2(4v-5)=-2(7v-4)+7v
klasskru [66]
<span>6+2(4v-5)=-2(7v-4)+7v
</span><span>6 + 8v - 10 = -14v + 8 +7v
8v - 4 = -7v + 8
15v = 12
    v = 12/15
    v = 4/5</span>
5 0
3 years ago
Read 2 more answers
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