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Alina [70]
2 years ago
7

We will find the solution to the following lhcc recurrence: an=8an−1−16an−2 for n≥2 with initial conditions a0=4,a1=7. The first

step as usual is to find the characteristic equation by trying a solution of the "geometric" format an=rnan=rn. (We assume also r≠0). In this case we get: rn=8r^n−1−16r^n−2. Since we are assuming r≠0r≠0 we can divide by the smallest power of r, i.e., rn−2 to get the characteristic equation:
r^2=8r−16. (Notice since our lhcc recurrence was degree 2, the characteristic equation is degree 2.)

This characteristic equation has a single root rr. (We say the root has multiplicity 2). Find r.
r=?
Mathematics
1 answer:
bagirrra123 [75]2 years ago
5 0

Answer:

idk try to figure it pouy

Step-by-step explanation:

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Jerry borrow $35,00 for 3 years at 7 1/2% simple interest rate how much interest rate he have to pay​
gregori [183]

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787.50

Step-by-step explanation:

interest=principle*rate*time/100

interest=3500*7.5*3/100

interest=35*7.5*3

interest=787.50

8 0
3 years ago
HELLLLPPPP MEEE PLEASE AND THANK YOU
Sonja [21]

Step-by-step explanation:

180° = m<A + m<B + m<C

180° = 45° +60° + m<C

180° = 105° + m<C

m<C = 180° - 105 °

m<C = 75°

3 0
3 years ago
Quality control is an important issue at ACME Company which manufacturers light bulbs. In order to conduct testing of the life h
mrs_skeptik [129]

Answer: 3424.28

Step-by-step explanation:

Given data : 378, 361, 350, 375, 200, 391, 375, 368,  321

Number of data values = 9

Mean :\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}

\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56

Variance = \dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}

\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224

Variance = \dfrac{27394.2224}{8}=3424.2775\approx3424.28

4 0
3 years ago
6n+n+14=0 i need the math
Fofino [41]
Let's solve your equation step-by-step.<span><span><span><span>6n</span>+n</span>+14</span>=0</span>

Step 1: Simplify both sides of the equation.<span><span><span><span>6n</span>+n</span>+14</span>=0</span><span>Simplify: (Show steps)</span><span><span><span>7n</span>+14</span>=0</span>

Step 2: Subtract 14 from both sides.<span><span><span><span>7n</span>+14</span>−14</span>=<span>0−14</span></span><span><span>7n</span>=<span>−14</span></span>

Step 3: Divide both sides by 7.<span><span><span>7n</span>7</span>=<span><span>−14</span>7</span></span><span>n=<span>−2</span></span>

Answer:<span>n=<span>−<span>2</span></span></span>
6 0
3 years ago
What are the vertical asymptote(s) of y= (x-6)/(x+8) (x-7)
White raven [17]

Answer:

x = -8 and x= 7

Step-by-step explanation:

recall that for a rational expression, the vertical asymptotes occur at x-values that causes the expression to become undefined. These occur when the denominator becomes zero.

Hence the asymptototes will occur in x-locations where the denominator , i.e

(x+8)(x-7) = 0

solving this, we get

(x+8) = 0 ----> x = -8

or

(x-7) = 0 ------> x = 7

hence the asymptotes occur x = -8 and x= 7

5 0
3 years ago
Read 2 more answers
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