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kirill115 [55]
3 years ago
12

Which linear inequality is represented by the graph? O y<2/3x+3 (A)

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

C y>2/3x+3

Step-by-step explanation:

Use y=mx+b format. The B is the y-intercept. From the y-intercept (3), go up two then to the right 3. That gives you the slope, or mx which is 2/3. The area shaded is above so it would be the greater than symbol.  

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URGENT HELP PLEASE!
Vaselesa [24]

Answer:

(a) x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b) x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}

Step-by-step explanation:

It is given that 0\leq x\leq 2\pi.

(a)

\sqrt{2}\sin 2x=1

\sin 2x=\dfrac{1}{\sqrt{2}}

\sin 2x=\dfrac{\pi}{4}

2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}     [\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]

x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b)

\csc^2 x-\csc x-2=0

\csc^2 x-2\csc x+\csc x-2=0

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

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

\csc x=-1\text{ or }\csc x=2

\sin x=-1\text{ or }\sin x=\dfrac{1}{2}         [\because \sin x=\dfrac{1}{\csc x}]

x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}

Therefore, x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}.

5 0
3 years ago
Annie spent $20.02 at the post office. She bought 2 times as many 32-cent stamps as 13-cent stamps. How many of each did she buy
ivolga24 [154]

Answer:

52 32- cent stamps and 26 13-cent stamps

Step-by-step explanation:

Let x be the 32-cent stamps and y be the 13-cent stamps then...

x=2y

32x+13y=2002 (note that $20.02 is 2002 cents)

We can solve using substitution (substitute 2y for x)

32(2y)+13y=2002

64y+13y=2002

77y=2002

y=26

x=2(26)

x=52

She bought 52 32-cent stamps and 26 13-cent stamps.

8 0
2 years ago
What is the slope of the line through the points (-4, 2) and (-16, -6)?
Effectus [21]

Answer:

A: 2/3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A spinner has 8 equal sectors labeled from 1 to 8. The spinner is spun twice.
muminat
On your first spin the chance is 1/2. The same goes for your second spin, but the chance of getting two consecutive even numbers is 1/2 x 1/2.
So the answer is 1/4.
4 0
3 years ago
Read 2 more answers
If a linear function contains the pairs (5,7) and (9,11), which pairs should have the reciprocal function to this one?
OLga [1]

The new coordinates will be ( 7,5) and (11,9) , Option A is the correct answer.

<h3>What is a Reciprocal Function ?</h3>

The reciprocal function is the inverse of the function, such that 1/ f(x) is the reciprocal of f(x).

The given linear function has pairs of points

(5,7) and (9,11)

The reciprocal of this will be

interchanging of the coordinates

Therefore the new coordinates will be

( 7,5) and (11,9)

Option A is the correct answer.

To know more about Reciprocal Function

brainly.com/question/12621604

#SPJ1

8 0
2 years ago
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