Answer:
78%, no he didn't score high enough
Step-by-step explanation:
As We can see that point J is on (-2,5) and L is on (-2,-2)
So we know that distance cannot be in negative, thus
Distance between J and L =5+2=7 units
JL=7
Answer:
13
Step-by-step explanation:
Given the equations f(x) = 2x - 3 and g(x) = 6 + 8/x.
We want to find f(g(4))
Essentially, what we are doing, is plugging in 4 into x for g(x) and the outcome of that is what we plug into x for f(x)
So first lets plug in 4 into x for g(x)
g(x) = 6 + 8/x.
We want to find g(4)
g(4) = 6 + 8/4
First divide 8 by 4
g(4) = 6 + 2
Then add 6 and 2
g(4) = 8
Now that we have found g(4) we want to plug the value of g(4), so 8 into f(x)
f(x) = 2x - 3
we want to find f(8)
f(8) = 2(8) - 3
* multiply 2 and 8 *
f(8) = 16 - 3
* subtract 3 from 16 *
f(8) = 13
and we are done!
So we can conclude that f(g(4)) = 13
Answer:
A line that passes (2, 0) and (-6, 3) has slope:
S1 = (-6 -2)/(3 - 0) = -4/3
Another line that is perpendicular with above line has slope:
S2 = -1/S1 = -1/(-4/3) = 3/4
=> Option B is correct
Hope this helps
:)
Answer:
1. k=0
2. yes, result is still a polynomial.
3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)
Step-by-step explanation:
1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)
for k=0 any polynomial f(x) will reduce f(k) to the constant term.
2. If we multiply a polynomial by a constant, is the result a polynomial?
Yes, If we multiply a polynomial by a constant, the result is always a polynomial.
3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?
Yes.
If
deg(f+g) < deg(f) and
deg(f+g) < deg(g)
then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.
