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Scilla [17]
4 years ago
9

How many times does the graph of 4x = 32 - x2 cross the x-axis? 0 1 2

Mathematics
2 answers:
garri49 [273]4 years ago
7 0

Answer:

How many times does the graph of 4x = 32 - x2 cross the x-axis?

2

What are the solutions to the equation?  

✔ 4, -8

Step-by-step explanation:

Yakvenalex [24]4 years ago
4 0

Answer:

2

Step-by-step explanation:

4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2.  Please use

" ^ " to indicate exponentiation.

Rewrite 4x = 32 - x^2 in the standard form of a quadratic:  x^2 + 4x - 32

Then the coefficients are a = 1, b = 4 and c = -32.

Find the discriminant.  It is b^2-4ac.  

Here, b^2-4ac = 4^2 - 4(1)(-32), or 16 + 128, or 144.

Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.

So, the answer to this question is "the graph of 4x = 32 - x^2 cross the x-axis in two places."

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3241004551 [841]

Answer:

C and D

Step-by-step explanation:

1

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \frac{60}{360}

     = 2π × 10 × \frac{1}{6} = \frac{20\pi }{6} = \frac{10\pi }{3} cm → C

-----------------------------------------------------

2

The area (A) of a sector is calculated as

A = area of circle × fraction of circle

   = πr² × \frac{60}{360}

   = π × 10² × \frac{1}{6} = \frac{100\pi }{6} = \frac{50\pi }{3} cm² → D

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Answer:

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General Formulas and Concepts:

<u>Algebra I</u>

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Step-by-step explanation:

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If 2 lines are the same, they will have infinite amount of solutions.

We see from the graph that the 2 lines intersect at one point, near x = 1.5.

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