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anzhelika [568]

2 years ago

6

Write an equation for a rational function with: vertical asymptotes at x = -4 and x = 4 x-intercepts at x = -6 and x = 5 horizon

tal asymptote at y = 8

1 answer:

Alla [95]2 years ago

4 0

Attached the solution and work.

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The closing price (in dollars) per share of stock of tempco electronics on the tth day it was traded is approximated by p(t) = 2

Vaselesa [24]

solution:

The closing price (in dollars) per share of stock of Tempco Electronics on the tth day it was

traded is approximated by

P(t) = 20 + 12 sin πt/30 − 6 sin πt/15 + 4 sin πt/10 − 3 sin 2πt/15 (0 ≤ t ≤ 24)

where t = 0 corresponds to the time the stock was first listed on a major stock exchange.

What was the rate of change of the stock's price at the close of the 15th day of trading?

P'(t) = 12(cos πt/30) - 6 (cos πt/15) + 4(cos πt/10) - 3(cos 2πt/15)

t = 15

P'(t) = 12(cos 15π/30) - 6 (cos 15π/15) + 4(cos 15π/10) - 3(cos 30π/15)

P'(t) = 12(cos π/2) - 6 (cos π) + 4(cos 3π/2) - 3(cos 2π)

P'(t) = 12(0) - 6(-1) + 4(0) - 3(1) = 6 - 3

P'(t) = $3 per day RATE OF CHANGE

the closing price on that day

P(t) = 20 + 12 sin πt/30 − 6 sin πt/15 + 4 sin πt/10 − 3 sin 2πt/15

t = 15

P(t) = 20 + 12 sin 15π/30 − 6 sin 15π/15 + 4 sin 15π/10 − 3 sin 30πt/15

P(t) = 20 + 12 sin π/2 − 6 sin π + 4 sin 3π/2 − 3 sin 2π

P(t) = 20 + 12(1) − 6(0) + 4(-1) − 3(0) = 20 + 12 - 0 - 4 - 0 = 20 + 12 - 4

P(t) = $28 per share close price

4 0

2 years ago

The graph below represents the solution set of which inequality? x2 – 2x – 8 0 x2 + 2x – 8 > 0

abruzzese [7]

Answer: x^2+2x-8<0

Step-by-step explanation:

A. x^2 - 2x - 8 < 0

(x - 4)(x + 2) < 0

B. x^2 + 2x - 8 < 0

(x + 4)(x - 2) < 0

C. x^2 - 2x - 8 > 0

(x - 4)(x - 2) > 0

D. x^2 + 2x - 8 > 0

(x + 4)(x - 2) > 0

When you test a point in the interval between -4 and 2, for example 0, it is negative.

8 0

2 years ago

Read 2 more answers

Casey needed to move 23 huge boxes from his truck to the loading dock. His forklift could only hold three boxes at once. How man

miss Akunina [59]

Answer:

8

Step-by-step explanation:

Since the forklift has a maximum capacity of three boxes per trip, simply divide the total number of boxes (23 boxes) by three and round up to the nearest whole unit to find the number of trips required:

$n=\frac{23}{3}=7.667$

Casey had to visit the dock 8 times. He moved three boxes in seven trips and two boxes in one trip.

6 0

2 years ago

The equation |x − 8| = 3 represents the minimum and maximum percent of people in a survey who are undecided about an issue. What

icang [17]

| x - 8| = 3

x - 8 = 3 - (x - 8) = 3
x = 3 + 8 -x + 8 = 3
x = 11 -x = 3 - 8
-x = - 5
x = 5

Minimum : 5% Maximum : 11% if u need them added it is 16%

5 0

2 years ago

Read 2 more answers

James has to fill 40 water bottles for the soccer team. Each bottle holds 500 milliliters of water. How many liters of water doe

zhenek [66]

Answer:

20 litter

Step-by-step explanation:

$40 \: bottels \: \times 500 \times ({10}^{ - 3} ) \: litters \: = 20 \: litters$

5 0

2 years ago