Answer:
79,200
Step-by-step explanation:
There are 5280 feet in 1 mile, then you just multiply 5280 by the number of miles (15). So 5280 x 15 = 79,200
Answer: a=8 and b=1
Step-by-step explanation:
If x represents the paddling speed, and y represents the speed of the current.
Then Relative speed in upstream =x-y
Relative time in downstream=x-y
When she paddles upstream then distance covered by her=
⇒8=(x-y)2 or 2(x-y)=8
Thus we get, a=1
When she paddles downstream then distance covered by her=
⇒8=(x+y)1 or 1(x+y)=8
Thus we get b=1
Answer:
160°
Step-by-step explanation:
The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80 to get 110 than subtracted that from 180 to get 70. Lastly, i added 90° to 70° to get 160°
Hope this helped you get the answer :)
Using the Factor Theorem, the polynomials are given as follows:
1. 
2. 
3. P(x) = -0.1(x³ - 4x² - 3x + 18)
<h3>What is the Factor Theorem?</h3>
The Factor Theorem states that a polynomial function with roots
is given by:

In which a is the leading coefficient.
Item a:
The parameters are:

Hence the equation is:
P(x) = (x - 1)²x²(x + 4)
P(x) = (x² - 2x + 1)(x + 4)x²
P(x) = (x³ + 2x² - 7x + 1)x²

Item b:
The roots are:

Hence:
P(x) = a(x - 4)²x(x + 4)
P(x) = a(x² - 16)x(x - 4)
P(x) = a(x³ - 16x)(x - 4)

It passes through the point x = 5, P(x) = 36, hence:
45a = 36.
a = 4/5
a = 0.8
Hence:

Item 3:
The roots are:

Hence:
P(x) = a(x - 3)²(x + 2)
P(x) = a(x² - 6x + 9)(x + 2)
P(x) = a(x³ - 4x² - 3x + 18)
For the y-intercept, x = 0, y = -1.8, hence:
18a = -1.8 -> a = -0.1
Thus the function is:
P(x) = -0.1(x³ - 4x² - 3x + 18)
More can be learned about the Factor Theorem at brainly.com/question/24380382
#SPJ1
Answer:
D or 3
Step-by-step explanation:
The equation you are saying is
-x = x-6
If you move both x's to one side, you get
-2x = -6
From this, you can simplify by dividing by -2
x=3, or D.
Hope this helped!