Answer:
Answers are below
Step-by-step explanation:
10a) Find how many multiples of 3 there are 4/12 = 1/3
10b) Find how many factors of 12 there are 6/12 = 1/2
10c) Find how many prime numbers there are 5/12
10d) 3/12 = 1/4
10e) Find how many numbers are less than 12 11/12
Let y = 0 to find the x-intercept(s).
0 = 45 − 4x
*Then subtract 45 from both sides*
-45 = -4x
*Next, DIVIDE both sides by -4*
-45
—— = x
-4
*NEXT, realize that TWO NEGATIVES MAKE A POSITIVE *
45. 4
——— = x {FLIP} x=——-
4. 45.
y-Intercept
Let x = 0 to find the y-intercept(s).
y = 45 −4(0)
NEXT, SIMPLIFY:
y=45
9514 1404 393
Answer:
- (c1, c2, c3) = (-2t, 4t, t) . . . . for any value of t
- NOT linearly independent
Step-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
Both graph are related because the y intercept is two and x is one but they have the same shape and y=x is 0 so the x intercept of the second graph is 2 so your answer is the middle one
Answer:
$6.48
Step-by-step explanation:
It would be $6.48 because 1.60 times 4 1/2 is 7.2 and if you do 10% of 7.2 you get B.