4)
a) you got it correct
b) y = 70x
c) Yes
d) f(6) = 70(6) = 420
e) f(x) = 210
70x = 210
x = 210/70
x = 3
f) continuous
g)
Domain: <span>The set of </span>all possible input values<span> (commonly the "x" variable), which produce a valid output from a particular function.
</span> (-∞ , ∞)
Range: <span>The range is the set of </span>all possible output values<span> (commonly the variable y, or sometimes expressed as </span><span><span>f(x)</span><span>f(x)</span></span><span>), which result from using a particular function.
</span>(-∞ , ∞)
5)
a) y = -5x
b) Yes, go thru (0,0)
and Yes, constant rate is -5
c) Yes
d)
f(11) = -5(11) = -55
e)f(x) = -45
-5x = -45
x = 9
Split the second term in 4m^2 + 16m + 15 into two terms
4m^2 + 10m + 6m + 15
Factor out the common terms in the first two terms, then in the last two terms
2m(2m + 5) + 3(2m + 5)
Factor out the common term 2m + 5
(2m + 5)(2m + 3)
Given :
A circle is inscribed in a square with a side length of 144.
So, radius of circle, r = 144/2 = 72 units.
To Find :
The probability that the point is inside the circle.
Solution :
Area of circle,

Area of square,

Now, probability is given by :

Therefore, the probability that the point is inside the circle is 0.785 .
Answer:
The average speed was of 2 miles per hour.
Step-by-step explanation:
Average speed:
Average speed is distance divided by time.
Distance:
Solved by proportions, using rule of three.
1800 steps - x miles
10,000 steps - 5 miles



Distance of 0.9 miles.
Using a time of 27 minutes to complete the event, calculate your average speed.
Distance of 0.9 miles in 27/60 of an hour. So

The average speed was of 2 miles per hour.
Answer:
The speed of sound is 
Step-by-step explanation:
Let
x-----> the speed of sound
we know that

so

solve for x
