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yan [13]
3 years ago
5

Solve the inequality

e=" \frac{x+1}{x-8} \leq 0 " alt=" \frac{x+1}{x-8} \leq 0 " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0
D:x\not=8\\
\frac{x+1}{x-8}\leq0\\
(x+1)(x-8)\leq0\\
x\in\langle-1,8\rangle\\\\
x\in\langle-1,8\rangle \wedge x\not=8\\
\boxed{x\in\langle-1,8)}

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Help me with these questions
Elena L [17]

Answer: a = 4, b = 163,422

<u>Step-by-step explanation:</u>

P = P_{0} e^{kt}   P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 <em>(converted 21% into a decimal)</em>

t = 36 yrs <em>(2006 - 1970) </em>

P = P_{0} e^{kt}   <em>need to solve for P₀</em>

7003 = P_{0} e^{(.21)(36)}

7003 = P_{0} e^{7.56}

7003 = P₀ (1920)

\frac{7003}{1920} = P_{0}

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 <em>(converted 21% into a decimal)</em>

t = 15 yrs <em>(2021 - 2006) </em>

P = P_{0} e^{kt}   <em>need to solve for P₀</em>

P = 7003 e^{(.21)(15)}

P = 7003 e^{3.15}

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

<u>Step-by-step explanation:</u>

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

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

x - 2 = 0      or      x + 1 = 0

 x = 2          or         x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴     or   e¹ = e¹

TRUE             TRUE

*****************************************

Answer: 0 = ln 1

<u>Step-by-step explanation:</u>

e^{-10} = \frac{1}{e^{10}}

ln(e^{-10}) = ln(\frac{1}{e^{10}})

-10 = ln 1 - 10   <em>log rules say division is subtraction</em>

 0 = ln 1



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Answer:

the answer is 8

Step-by-step explanation:

cube root of 512 is 8

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Helpppp I’m so confused on this I appreciate it if you help!
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Example A: a/2

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Carlos is going to an amusement park for his 11th birthday with his 2 yr old brother and parents. His parents brought $100 to sp
amm1812
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