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SVETLANKA909090 [29]
3 years ago
11

Check all statements that are equivalent to If the sky is not clear, then you don't see the stars ? a. Clear sky is necessary an

d sufficient for seeing the stars. ? b. If the sky is clear, then you see the stars. c. You don't see the stars unless the sky is clear. ? d. Clear sky is necessary to see the stars. e. The sky is clear only if you see the stars. f. Clear sky is sufficient to see the stars. g. If you don't see the stars, then the sky is not clear. h. If you see the stars, then the sky is clear. i. You see the stars only if the sky is clear.
Mathematics
2 answers:
IrinaVladis [17]3 years ago
6 0

Answer: The answer is G

Step-by-step explanation:

If you don't see the stars, then the sky is not clear. This statement is equivalent to saying "If the sky is not clear, then you don't see the stars", because if you rearrange both statements you will find out that they are equivalent to each other.

Mark out all the words in each statement, you will discover that at the end you will have no word left on both side, its just as good as saying 1 - 1 = 0.

JulijaS [17]3 years ago
3 0

Answer:

G

Step-by-step explanation:

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What is the inverse of the function f(x) = 2x + 1?|
padilas [110]

Answer:

1st option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

\frac{y-1}{2} = x

Change y back into terms of x with x being the inverse h(x)

h(x) = \frac{x-1}{2} = \frac{1}{2} x - \frac{1}{2}

6 0
2 years ago
What is the product of 7/10×(-9)​
Andrews [41]

Answer:

-6.3

Step-by-step explanation:

7/10 X -9/1 = -63/10 = -6.3

4 0
3 years ago
F(x)=x^2+4x and g(x)= 2x+2, find f(5)+ g(6)
Lubov Fominskaja [6]
F(5) = 5² +4*5=25+20 = 45
g(6) = 2*6 +2 =12+2=14

f(5) + g(6)
= 45 +14 =59
3 0
3 years ago
Find the exact value, without a
Ghella [55]

Answer:

√(2 + √3)/4

Step-by-step explanation:

Sine 5π/12 = Sine (5π/6)/2

Recall

π = 180°

Thus,

Sine (5π/6)/2 = Sine (5×180 /6)/2

= Sine 150/2

Recall

Sine θ/2 = √(1 – Cos θ)/2

Thus,

Sine 150/2 = √(1 – Cos 150)/2

But, Cosine is negative in the 2nd quadrant. Thus,

Cos 150 = – Cos 30 = –√3/2

Thus,

√(1 – Cos 150)/2 = √(1 – –√3/2 )/2

= √(1 + √3/2 )/2

= √[(2 + √3)/2 ÷ 2]

= √[(2 + √3)/2 × 1/2]

= √(2 + √3)/4

Therefore,

Sine 5π/12 = √(2 + √3)/4

4 0
3 years ago
Use the graph below to answer the question that follows:
seraphim [82]
Let's start with our parent function:

f(x) = sin x

One cycle on this graph occurs between 0 and 2π. Therefore, our b-value is one.

There is no vertical shift up. The sinusoidal axis is along y = 0.

The wave is not inverted, it starts at the origin and rises on both the y and x axis. Thus there is no negative value before the function.

The amplitude of the wave is 3. A normal sine wave rises to a maximum of 1, but this is multiplied by 3.

f(x) = 3 sin x

There are an infinite amount of equations that could be used to represent this graph, but this is perhaps the most intuitive.
6 0
3 years ago
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