<em>The vertex is the </em><em>maximum value</em>
<em>The function is increasing </em><em>when x < -1</em>
<em>The function is decreasing </em><em>when x > -1</em>
<em>The domain of the function is </em><em>all real numbers</em>
<em>The range of the function is </em><em>All numbers less than or equal to zero</em>
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Answer:
The slope of the line
is 
Step-by-step explanation:
The given equation can be written as
represents a line equation.
The general equation of the straight line is 
where m is the slope and c is intercept
Comparing equations (1) and (2) we get slope 
Therefore slope of the line
is 
65-9=56
56 divided by 8 is 7
So they will need 7 tents
Answer: The theoretical probability of choosing a tile with letter P =0.18
Step-by-step explanation:
Given word = MISSISSIPPI
Total number of letters in given the word = 11
Number of letter P in given word = 2
Let A be a event of choosing a tile with a letter P then
P(A) =Number of tiles with letter P / Total letters in given word
= 2 /11 = 0.18
Answer:

Step-by-step explanation:
We draw the right triangle as shown in the image attached.
Δ QRS
Where R is the right angle
Given
QR = 8
QS = 17
Now, using Pythagorean Theorem, we can find RS:

Now, we know the ratio Sine as:

Where
is the angle (here angle Q)
Opposite side is RS (which is 15)
Hypotenuse is given as QS (which is 17)
So,

This is the value of SinQ.
We don't want the angle, so we'll stop here.