I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
PLEASE SEE ATTACHED IMAGE.
First, we rewrite both functions correctly:
f (x) = 0.5 ^ x
g (x) = 0.25 ^ x
We observe that they are exponential functions, where, rewriting:
f (x) = (1/2) ^ x
g (x) = (1/4) ^ x
We observe that both graphs present an exponential decay where, f (x)> g(x), since, the rate of change of f (x) (1/2) is greater than the rate of change of g (x) ( 1/4).
Answer:
as -> infinity, f (x)> g (x) *
We are given with the equation <span>f(x) = ax3 + bx2 + cx + d
Substituting, (3,11)
</span><span>11= 27a + 9b + 3c + d
</span><span>@(5, 9)
</span><span>9 = 125 a + 25 b + 5c + d
@</span><span>(4, 10)
</span><span>10 = 64 a + 16 b + 4c + d
@inflection point, second derivative is equal to zero
</span><span>f'(x) = 3ax2 + 2bx + c
</span>f''(x) = 6ax + 2b = 0
when x is 4, 24 a + 2b = 0 or 12a + b = 0.
There are 4 equations, 4 unknowns: answer is
<span>0.5 x^3 - 6x^2 + 22.5 - 24 = 0</span>
Since Joe has 5/6 pounds left and he only needs 1/3 pounds
each day to feed the birds, therefore the number of remaining day’s worth of
seed is:
days = (5/6) / (1/3) = 2.5
The remaining seed can run up to 2 and half days. This also
means that after 2 days, he is remained with ½ of 1/3 pound. ½ of 1/3 pound is
equivalent to 1/6 pound. Therefore the correct rectangle model to use is:
<span>Rectangle
model divided into 3 equal sections, two sections are labeled one-third and one
section is labeled one-sixth, equaling two and one-half days.</span>
Answer:
See below.
Step-by-step explanation:
Party A
y = x^2 + 1
For each value of x in the table, substitute x in the equation with that value and evaluate y.
x = -2: y = (-2)^2 + 1 = 4 + 1 = 5
x = -1: y = (-1)^2 + 1 = 1 + 1 = 2
Do the same for x = 0, x = 1, x = 2
x y
-2 5
-1 2
0 1
1 2
2 5
Part B
Look at points (-2, 5) and (-1, 2). The change in x from (-2, 5) to (-1, 2) is 1. The change in y is -3.
Now let's look at two other points which have a change in x of 1. Look at points (0, 1) and (1, 2). The change in x from (0, 1) to (1, 2) is 1. The change in y is 1.
You can see that for the first two points, a change of 1 in x produces a change of -3 in y, but for the second two points, the same change of 1 in x produce a change of 1 in y. Since the same change of x does not always produce the same change in y, the function is nonlinear.
Answer: A
Answer:the original price is $680
Step-by-step explanation:
1/4(x)=170
4×1/4(x)=4×170
x=$680
