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Eduardwww [97]
3 years ago
13

What number would be added to both sides in order to complete the square when solving x^2+8x=9?

Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
8 0
A. 16
1/2(MT)^2
1/2(8)^2
=4^2
=16
Margaret [11]3 years ago
7 0
You can figure this out if you just look at (x+a)^2 = x^2 + 2ax + a^2. See, the constant term, a^2, is the coefficient of x (2a), divided by 2 (2a/2=a), and then squared (a^2) 

<span>So you equation has 8x. 8/2 = 4, and 4^2 = 16. So the answer is A.</span>
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The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
Andreas93 [3]

Answer:

  • Minimum 100 bicycles
  • Minimum cost is 13500

Step-by-step explanation:

<u>Given function:</u>

  • C(x) = 3x^2- 600x + 43500

a.

Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

f(x) = ax^2 + bx + c

<u>Vertex of the given function is:</u>

  • x = -(-600)/(2*3) = 100

b.

<u>Cost at vertex is:</u>

  • C(100) = 3*100^2 - 600*100 + 43500 = 13500
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3 years ago
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The current population of a small town is 10,500, and its population is expected to grow at a rate of 5% per year. Which of the
FromTheMoon [43]

Answer:

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8 0
3 years ago
Simplify the expression where possible.<br> (r ^-3 s^2 t) ^4
ASHA 777 [7]

Use\\\\(ab)^n=a^nb^n\\\\ (a^n)^m=a^{n\cdot m}\\-------------------\\\\\left(r^{-3}s^2t\right)^4=\left(r^{-3}\right)^4\left(s^2\right)^4(t)^4=r^{(-3)(4)}s^{(2)(4)}t^4\\\\=\boxed{r^{-12}s^8t^4}\to\boxed{\dfrac{s^8t^4}{r^{12}}}

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What equation is parallel to y= -1/4+5 and passes through (2,-3)? <br> HELPPPPP PLEASE!!!!
IrinaVladis [17]

Answer:

y = -1/4x - 5/2.

Step-by-step explanation:

I am assuming you mean y = -1/4x + 5.

This has slope of -1/4 so the required equation has the same slope ( as they are parallel).

Using the point-slope form of the equation of a line:

y - (-3) = -1/4(x - 2)

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5 0
3 years ago
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