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Delvig [45]
2 years ago
14

Solve the inequality |3t+1| > 8.

Mathematics
1 answer:
arlik [135]2 years ago
8 0
<h3>Solve the inequality |3t+1| > 8.</h3>

<h2>ANSWER</h2>

<h3>t <  - 3 \:</h3>

or

<h3>t >  \frac{7}{3}</h3>
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The lines below are parallel. If the slope of the green line is -3, what is the
julia-pushkina [17]

Answer:-3

Step-by-step explanation:

The expression is already in decimal form.

−3 slope

8 0
2 years ago
The sum of the first three terms of a sequence is 6 and the fourth term is 16
Sati [7]

Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    \boxed{\bold{a_n=7n-12}}

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7   ⇒  a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}

6 0
2 years ago
Use the table of values to find the function's values. Ja) Ifx 0, then f0) = If fe) = 27, then x= -3 33 -2 17 0 -15 2 27​
Paha777 [63]

Answer:

-15 and 3

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP ME!!
Ludmilka [50]

Answer:

<h2>The population will reach 1200 after about 2.8 years</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The population of a certain species of bird in a region after t years can be modeled by the function P(t) = 1620/ 1+1.15e-0.42t , where t ≥ 0. When will the population reach 1,200?

According to question we are to calculate the time t that the population P(t) will reach 1200.To do this we will substitute P(t) = 1,200 into the equation and calculate for the time 't'.

Given;

P(t) = \frac{1620}{1+1.15e^{-0.42t} } \\\\at \ P(t)= 1200;\\\\1200 =  \frac{1620}{1+1.15e^{-0.42t} }\\\\cross\ multiplying\\\\1+1.15e^{-0.42t} = \frac{1620}{1200} \\\\1+1.15e^{-0.42t}  = 1.35\\\\1.15e^{-0.42t} = 1.35-1\\\\e^{-0.42t} = \frac{0.35}{1.15}\\ \\e^{-0.42t}  = 0.3043\\\\Taking \ ln\ of\ both\ sides\\\\lne^{-0.42t}  = ln0.3043\\\\-0.42t = -1.1897\\\\t = \frac{-1.1897}{-0.42} \\\\t = 2.8 years\\\\

The population will reach 1200 after about 2.8 years

6 0
2 years ago
Alejandro is renting a car to visit his cousin for seven days. The rental car company charges him $199 for the week plus $0.32 p
Gekata [30.6K]

Answer:

(199+0.32)minus 350

Step-by-step explanation:

199 is the cost plus fee per mile 0.32 subtract 350 to see if he can afford it

5 0
3 years ago
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