1. y - y₁ = m(x - x₁)
 y - (-7) = 6(x - (-8))
 y + 7 = 6(x + 8)
 y + 7 = 6(x) + 6(8)
 y + 7 = 6x + 48
 - 7 - 7
 y = 6x + 41

2. y₂ - y₁ = -8 - (-3) = -8 + 3 = -5 = -1²/₃
 x₂ - x₁ -1 - (-4) -1 + 4 3

3. 2x - 3y = 11
 3x + 3y = 9
 5x = 20
 5 5
 x = 4
 2x - 3y = 11
 2(4) - 3y = 11
 8 - 3y = 11
 - 8 - 8
 -3y = 3
 -3 -3
 y = -1
 (x, y) = (4, -1)

4. 2x - 5y = -7 ⇒ -6x + 15y = 21
 5x - 3y = 11 ⇒ -25x + 15y = -55
 19x = 76
 19 19
 x = 4
 2x - 5y = -7
 2(4) - 5y = -7
 8 - 5y = -7
 - 8 - 8
 -5y = -15
 -5 -5
 y = 3
 (x, y) = (4, 3)

5. 4.9 × 10¹¹, 8.9 × 10¹⁸, 1.3 × 10⁸, 6.7 × 10⁸, 2.7 × 10⁸
 1.3 × 10³, 2.7 × 10⁸, 6.7 × 10⁸, 4.9 × 10¹¹, 8.9 × 10¹⁸
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4 0

3 years ago

What is the maximum number of turns in the graph of this function?

drek231 [11]

Answer:

The maximum number of turns is 3

Step-by-step explanation:

The given function is

$f(x)=x^4-x^3+3x+1$

The degree of this polynomial is 4.

If the degree of a given polynomial is n, then the polynomial has at least n-1 turns.

Therefore the number of turns of this 4th degree polynomial is at least 3.

4 0

3 years ago

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