X^2 = 9x + 6
x^2 - 9x - 6 = 0
use quadratic formula : (-b (+-) sqrt b^2 - 4ac) / (2a)
a = 1, b = -9, c = -6
now we sub
x = (-(-9) (+-) sqrt -9^2 - 4(1)(-6)) / 2(1)
x = 9 (+-) sqrt 81 + 24)/2
x = 9 (+-) sqrt 105) / 2
x = 9/2 + 1/2 sqrt 105 or x = 9/2 - 1/2 sqrt 105
Answer:
- The inequality should be s<270.
- The number line should be shaded to the left.
Step-by-step explanation:
Miche found that most helicopters fly at speeds of less than 270 kilometers per hour.
If s=speed of the helicopters
Representing this on a number line:
- We have an open circle at 270.
- Everything to the left of the circle is shaded.
Since the options are not given, I would list the mistakes made by Miche.
- The inequality should be s<270.
- The number line should be shaded to the left.
The rate that is equivalent to the rate Paula walked is 1/20 mile/minute OR 0.05 mile/minute
<h3>Calculating Rate </h3>
From the question, we are to determine the rate which is equivalent to the rate Paula walked
Using the formula,

From the given information,
Distance = 1/12 mile
Time = 5/3 minutes
Putting the parameters into the formula, we get




mile/minute
Hence, the rate that is equivalent to the rate Paula walked is 1/20 mile/minute OR 0.05 mile/minute
Learn more on Calculating Rate here: brainly.com/question/21208007
#SPJ 1
Given the geometric progression below

The nth term of a geometric progression is given below

From the geometric progression, we can deduce the following

To find the value of r, we will take ratios of two consecutive terms

To find the 9th term of the geometric, we will have that;

Hence, the 9th term of the geometric progression is 1953125