Answer:
63.71 percent
Step-by-step explanation:
Answer:
k = 3
Step-by-step explanation:
Given
f(x) = 0.5x
g(x) = 0.5x - k
Required
Find k
<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>
<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>
Given that f(x) = 0.5x
and f(x) is shifted down by 3 units to give g(x); then:
f(x) - 3 = g(x)
Substitute 0.5x for f(x)
0.5x - 3 = g(x)
Recall that g(x) = 0.5x - k ---------- (given)
0.5x - 3 = 0.5x - k
Subtract 0.5x from both sides
-0.5x + 0.5x - 3 = -0.5x + 0.5x - k
-3 = -k
Multiply both sides by -1
-3 * -1 = -k * -1
3 = k
k = 3
<em>Hence, the value of k is 3</em>
Exponential notation allows the representation of numbers in shorter form.
(2 x 2 x 2)(4x4x4) = 2x2x2x2x2x2x2x2x2
Answer:
- 3 or 1 positive real zeros
- 0 negative real zeros
Step-by-step explanation:
The signs of the coefficients of the given terms are ...
+ - + -
There are three sign changes, so the number of positive real zeros is 3 or 1.
When odd-degree terms have their signs changed, the signs become ...
- - - -
There are no sign changes, hence no negative real zeros.
_____
A graph confirms this evaluation.