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charle [14.2K]
3 years ago
6

7. If -3 < x < 3, determine c and d for the inequality c < 2x + 1 < d

Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:

C= -5

D = 7

Step-by-step explanation:

- 3 < x < 3 \\    \\  - 6 < 2x < 6 \\  \\  - 6 + 1 < 2x + 1 < 6 + 1 \\  \\  - 5 < 2x + 1 < 7

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Slope of (0,1) and (3,0)
Marysya12 [62]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{  \frac{ - 1}{3}}}}}}

Step-by-step explanation:

Let the points be A and B

Let A ( 0 , 1 ) be ( x₁ , y₁ ) and B ( 3 , 0 ) be ( x₂ , y₂ )

<u>Finding</u><u> </u><u>the </u><u>slope</u><u> </u><u>of</u><u> </u><u>the </u><u>points</u>

\boxed{ \sf{slope =  \frac{y2 - y1}{x2 - x1} }}

\longrightarrow{ \sf{slope =  \frac{0 - 1}{ 3 - 0}}}

\longrightarrow{ \sf{slope =  \frac{ - 1}{3}}}

Hope I helped!

Best regards! :D

5 0
4 years ago
Read 2 more answers
O. Find the domain and range of each of the three restricted functions.
Orlov [11]

The domain and range of the functions sin x, cos x, and tan x will be (-∞, ∞) and [-1, 1], (-∞, ∞) and [-1, 1], and R - (2n + 1)π/2 and (-∞, ∞) respectively.

<h3>What are domain and range?</h3>

The domain means all the possible values of x and the range means all the possible values of y.

The three restricted functions are given below.

f(x) = sin (x)

f(x) = cos (x)

f(x) = tan (x)

Then the domain of the three restricted functions will be

The domain of sin x will be (-∞, ∞).

The domain of cos x will be (-∞, ∞).

The domain of tan x will be R - (2n + 1)π/2.

Then the range of the three restricted functions will be

The range of sin x will be [-1, 1].

The range of cos x will be [-1, 1].

The range of tan x will be (-∞, ∞).

The graph is given below.

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

4 0
2 years ago
How do you work this out?
Ira Lisetskai [31]
I'm guessing you find the length of the hypotenuse using the pythagorean theorem. 

a² + b² = c²     a and b are the legs and c is the hypotenuse

15² + 8² = c²

225 + 64 = c²

289 = c²

√289 = √c²

17 = c

hope that helps, God bless!
3 0
4 years ago
Read 2 more answers
Can you help me pls can you help me
spayn [35]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
All of the following are equivalent except...
Pie

Answer:

d) 11x^2 because that would be the same as 11x * 11x

6 0
3 years ago
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