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wariber [46]
2 years ago
13

What are the solutions of the equation 6x2 + x-1=0 ?

Mathematics
1 answer:
Aleksandr [31]2 years ago
6 0

Answer:

<u>Options B and D</u>

Step-by-step explanation:

6x² + x - 1 = 0

6x² + 3x - 2x - 1 = 0

3x(2x + 1) - 1(2x + 1) = 0

(3x - 1)(2x + 1)

x = 1/3 and -1/2

<u>Options B and D</u>

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3 years ago
Find the price-demand equation for a particular brand television when the demand is 20 TVs per week at $150 per TV, given that t
Alina [70]

Answer:

~150=50e^{-0.01()20}

~p(100)=\$127.7

Step-by-step explanation:

From the question we are told that:

Price of 20TVs per week P_{20}=\$150

Marginal price-demand function p'(x)=-0.5e-0.01x

Generally the The Marginal price function is mathematically given by

  p'(x)=-0.5e^{-0.01x}  

  p(x)=\int-0.5e^{-0.01x}  

  p(x)=50e^{-0.001x}+C  

Therefore the equation when the demand is 20 TVs per week at $150 per TV

150=50e^{-0.01()20}

Giving

p(x)=50e^{-0.01x}+150-50e^{-0.01(20)}

Therefore the Price when the demand is 100 TVs per week

p(100)=50e^{-0.01(100)}+150-50e^{-0.01(20)}

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7 0
2 years ago
WILL GIVE 5 STAR IF CORRECT: Chasity purchased a pool for $9,270 using a six-month deferred payment plan with an interest rate o
Verdich [7]

Answer:

$297.41

Step-by-step explanation:

Given that:

Amount = 9270

Derferred period = 6 months = 0.5 yr

Rate = 17.95% = 0.1795

Amount = 9270(1 + 0.1795)^0.5

Amount = 9270(1.1795)^0.5

Amount = 10067.663

PV = 10067.663

Number of months, n = 48

Monthly amount to be paid :

rp = rate per period = 0.1795/12 = 0.0149583

(rp * PV) / 1 - (1 + rp)^-n

(0.0149583 * 10067.663) / 1 - (1 + 0.0149583)^-48

150.5951234529 / 0.5096723

= 295.47441

Closest option is $297.41

6 0
3 years ago
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