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Vika [28.1K]
2 years ago
11

Find the Domain of the function

sqrt%7Bx%20%2B%204%7D%20" id="TexFormula1" title="f(x) = \frac{1}{x} + \sqrt{x + 4} " alt="f(x) = \frac{1}{x} + \sqrt{x + 4} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
xeze [42]2 years ago
8 0

Refer to the attachment!

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Find the sum of the constants a, h, and k such that
ra1l [238]

Answer:

  3

Step-by-step explanation:

The value of "a" is the coefficient of x^2, so we know that is 2.

__

<u>Solve for h</u>

Now, we have ...

  2x^2 -8x +7 = 2(x -h)^2 +k

Expanding the right side gives us ...

  = 2(x^2 -2hx +h^2) +k

  = 2x^2 -4hx +2h^2 +k

Comparing x-terms, we see ...

  -4hx = -8x

  h = (-8x)/(-4x) = 2

__

<u>Solve for k</u>

Now, we're left with ...

  2h^2 +k = 7 = 2(2^2) +k = 8 +k

Subtracting 8 we find k to be ...

  k = 7 -8 = -1

__

And the sum of constants a, h, and k is ...

  a +h +k = 2 +2 -1 = 3

The sum of the constants is 3.

6 0
3 years ago
Red Cone Ice Cream Shop sell red waffle cones in two sizes, large and small. The diameter of the large cone is twice the length
inna [77]

Answer:A or c

Step-by-step explanation:

3 0
2 years ago
❗❗CORRECT ANSWER+EXPLANATION=BRAINLIEST❗❗
mars1129 [50]

\sf \longmapsto\dfrac{ {x}^{2} - 9 }{ {x}^{2} - 3x}

\sf \longmapsto \dfrac{x + 3(x - 3)}{x(x - 3)}

\sf \longmapsto \:  \dfrac{x + 3}{x}

\boxed{\sf \dfrac{x + 3}{x} }

5 0
2 years ago
Need help fast please.
sleet_krkn [62]

Answer:

The answer to your question is 1/5

Step-by-step explanation:

Data

         -2, -1 4/5, -1 3/5, -1 2/5

Process

- Substract two continuos numbers

        - 2 - (-1 4/5) =  -2 + 1 4/5

                            = -2 + 9/5

                            = (-8 + 9) /5

                           = 1/5

- Check with another pair

       -1 3/5 - (-1 2/5) = -8/5 + 7/5

                              = 1/5

Conclusion

The difference between the points is 1/5

3 0
2 years ago
HURRRRRY!!!<br> solve using any method<br> 2x + 4y = 11<br> 3x + 6y = 17
SVETLANKA909090 [29]

Multiply the equations to get the coefficients Greatest Common Factor:

3(2x+4y=11)

2(3x+6y=17)

6x+12y=33

6x+12y=34

Then you subtract them:

0x+0y=-1          0=-1

Or in other words no solutions

8 0
2 years ago
Read 2 more answers
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