If f={(-1,-3), (1,1),(2,3),(4,6)} and g={(-1,-1),(1,7),(4,3)} what is (f+g)(4)?
svet-max [94.6K]
Answer:
(f + g)(4) = 9
Step-by-step explanation:
We have that:
f = {(-1,-3), (1,1),(2,3),(4,6)}
this means that:
f(-1) = -3
f(1) = 1
f(2) = 3
f(4) = 6
and we also know that:
g = {(-1,-1),(1,7),(4,3)}
hich means that:
g(-1) = -1
g(1) = 7
g(4) = 3
Now we want to find:
(f + g)(4)
For the general case of two functions f(x) and g(x)
(f + g)(x) = f(x) + g(x)
Then:
(f + g)(4) = f(4) + g(4)
and we know both of these values, so we can just replace them:
(f + g)(4) = f(4) + g(4) = 6 + 3 = 9
Then we get:
(f + g)(4) = 9
We have to determine the complete factored form of the given polynomial
.
Let x= -1 in the given polynomial.
So, 
So, by factor theorem
(x+1) is a factor of the given polynomial.
So, dividing the given polynomial by (x+1), we get quotient as
.
So,
= (x+1)
.
= 
=![(x+1)[ 2x(3x-5)-3(3x-5)]](https://tex.z-dn.net/?f=%28x%2B1%29%5B%202x%283x-5%29-3%283x-5%29%5D)
=
is the completely factored form of the given polynomial.
Option D is the correct answer.
all except pi are rational.
<span>2.333... = 21/9 </span>
<span>1.5 = 3/2</span>
I have handwritten the solution an steps to it. I hope you find it helpful my dood.
Answer:
The coast guard craft will get to the distressed boat the fastest.
Step-by-step explanation:
The coordinates of boat are (57,64).
The coordinates of rescue boat are (67,83).
The coordinates of coast guard craft are (65,46).
Both rescue crafts travel at the same rate. One of them will get to the distressed boat the faster, whose distance from the boat is least.
Distance formula:

The distance between boat and rescue boat is

The distance between boat and coast guard craft is

Since the distance between boat and coast guard craft is least, therefore coast guard craft will get to the distressed boat the fastest.