Answer:
The equation of the line using function notation is
Step-by-step explanation:
Given points are (-20,5) and (-36, 9)
Now to find the equation of the line passes through these points
Let 
and 
be the two given points (-20,5) and (-36, 9) respectively.
To find slope
Therefore
The equation of the line is of thr form y=mx+c
The point (-20,5) passes through the above line and
Therefore 
Therefore the equation of the line using function notation is
Answer:
620.63
Step-by-step explanation:
use the formula given
r= interest rate
n= numer of times it's compounding in a year
t= time
p= principle amount
Answer:
a goes with -1/2
b goes with -2
c goes with 2
d goes with -1/2
just multiply the x values of the top equation by the answers and you'll get the x values of the bottom equation :)
Explanation:
It can help to draw your own figure with the right angles better represented. You will notice that right triangles PQR and PRS share side RS. PQ is the hypotenuse of one of them; RS is the hypotenuse of the other.
We can write two equations that make use of the Pythagorean theorem:
PQ² = PR² +RQ²
RS² = QS² +RQ²
Then we can swap sides of the first equation and subtract the second equation. This gives ...
(PR² +RQ²) -(RS²) = (PQ²) -(QS² +RQ²)
Adding RQ², we can write this as ...
PR² -RS² +2RQ² = PQ² -QS²
__
The given relationship PR > RS means that PR² -RS² will be positive, so the left side of this equation must be positive.
Since PQ² - QS² is a positive number, PQ > QS.
Answer: x < -3.5
Step-by-step explanation:
Subtract 3 from both sides and we get
-4x > 14
We divide -4 on both sides, but be careful because we have to flip the sign since it's a negative number.
x < -3.5
