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1 year ago

Solve 12≥2(3n+1)+22. Show your answer in the form of an inequality.

Mathematics

1 answer:

sweet-ann [11.9K]1 year ago

6 0

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

n ≤ − 2

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In Exercises 5-7, find all the exact t-values for which the given statement is true,

bearhunter [10]

Answer: See Below

Step-by-step explanation:

NOTE: You need the Unit Circle to answer these (attached)

5) cos (t) = 1

Where on the Unit Circle does cos = 1?

Answer: at 0π (0°) and all rotations of 2π (360°)

In radians: t = 0π + 2πn

In degrees: t = 0° + 360n

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$6)\quad sin (t) = \dfrac{1}{2}$

Where on the Unit Circle does $sin = \dfrac{1}{2}$

Hint: sin is only positive in Quadrants I and II

$\text{Answer: at}\ \dfrac{\pi}{6}\ (30^o)\ \text{and at}\ \dfrac{5\pi}{6}\ (150^o)\ \text{and all rotations of}\ 2\pi \ (360^o)$

$\text{In radians:}\ t = \dfrac{\pi}{6} + 2\pi n \quad \text{and}\quad \dfrac{5\pi}{6} + 2\pi n$

In degrees: t = 30° + 360n and 150° + 360n

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

$7)\quad tan (t) = -\sqrt3$

Where on the Unit Circle does $\dfrac{sin}{cos} = \dfrac{-\sqrt3}{1}\ or\ \dfrac{\sqrt3}{-1}\quad \rightarrow \quad (1,-\sqrt3)\ or\ (-1, \sqrt3)$

Hint: sin and cos are only opposite signs in Quadrants II and IV

$\text{Answer: at}\ \dfrac{2\pi}{3}\ (120^o)\ \text{and at}\ \dfrac{5\pi}{3}\ (300^o)\ \text{and all rotations of}\ 2\pi \ (360^o)$

$\text{In radians:}\ t = \dfrac{2\pi}{3} + 2\pi n \quad \text{and}\quad \dfrac{5\pi}{3} + 2\pi n$

In degrees: t = 120° + 360n and 300° + 360n

4 0

3 years ago

A truck begins a trip of 1675 miles. The truck averages 55 miles per hour, including stops. create a table, a graph, and an equa

lawyer [7]

Let
x be the distance that the truck has left to travel
t be the the time

The total distance is 1675 miles
The average speed is 55 miles per hour

The equation that represents the distance that the truck has left to travel with respect to time is
55t + x =1675
x = -55t + 1675

3 0

3 years ago

6 gallons of paint was

Paladinen [302]

Answer:

Step-by-step explanation:

because if 1 room is a 3/4 which is almost there but not quite, and 3+3 is 6.. 3/4 + 3/4 is bigger then 6

3 0

3 years ago

Read 2 more answers

(06.03)

shusha [124]