3 years ago

Y=4(5/6)^x growth or decay

Mathematics

1 answer:

Alla [95]3 years ago

5 0

It's a decaying equation

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-5/2 x (3x + 4) < 6x - 3x Please show work

Pie

Answer:

$x > - \frac{20}{21}$

Step-by-step explanation:

-5/2 × (3x + 4) < 6x - 3x

-15/2x - 10 < 3x

-15x - 20 < 6x

-15x - 6x < 20

-21x < 20

x > -20/21

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2 years ago

Read 2 more answers

Precalc.

viktelen [127]

Domain: x>0.

$(\log_2x)^2+7\log_2x+12=0$

Substitute $t=\log_2x\in\mathbb{R}$ . We have:

$t^2+7t+12=0\\\\a=1\qquad b=7\qquad c=12\\\\\\\Delta=b^2-4ac=7^2-4\cdot1\cdot12=49-48=1\\\\\sqrt{\Delta}=\sqrt{1}=1\\\\\\
t_1=\dfrac{-b-\sqrt{\Delta}}{2a}=\dfrac{-7-1}{2}=\dfrac{-8}{2}=-4\\\\\\
t_2=\dfrac{-b+\sqrt{\Delta}}{2a}=\dfrac{-7+1}{2}=\dfrac{-6}{2}=-3$

For t₁ there will be:

$\log_2x=t_1\\\\\log_2x=-4\\\\2^{-4}=x\\\\x=\dfrac{1}{2^4}\\\\\\x=\dfrac{1}{16}=0,0625\\\\\\\boxed{x\approx0,063}$

and for t₂:

$\log_2x=t_2\\\\\log_2x=-3\\\\2^{-3}=x\\\\x=\dfrac{1}{2^3}\\\\\\x=\dfrac{1}{8}\\\\\\\boxed{x=0,125}$

Answer d)

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3 years ago

At the beginning of the year, Zachary had $40 in savings and saved an additional $20 each week thereafter. Isaac started the yea

guajiro [1.7K]

Zachary function:

Z(t) = 40 + 20t

Isaac function:

I(t) = 85 + 11t

Graph each function to see the interval of time when one person has more money than the other.

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3 years ago

BRAINLIEST PLEASE ANSWER FAST What is 12.5% written as a decimal? 0.00125 0.125 1.25 12.5

r-ruslan [8.4K]

Your answer is .125.

4 0

3 years ago

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David rents DVDS from a company that changes a $7.00 monthly fee and $1.50 for each dvd rental. He ends up paying $20.50 for the

serious [3.7K]

1.5x + 7 = 20.5
First subtract 7 from both sides
1.5x = 13.5
Then divide both sides by 1.5
x = 9

Let me know in comments if you have questions

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3 years ago