Answer:
y=2x+3 is non-proportional. y=5x is proportional.
Step-by-step explanation:
y=2x+3 is not proportional because there is the +3. also, when it is graphed on a graph, the line does not pass through the origin/zero.
y=5x is proportional because it does not have any other values attached to the y value. when it is graphed, the lie goes through the origin/zero.
The correct answer is A. Inductive
Explanation:
Inductive reasoning occurs as one specific case or example is used to create broad ideas or conclusions, which means inductive reasoning involves generalization. This is the opposite of deductive reasoning in which a general statement or idea is applied to a specific case.
According to this, the example presented is part of inductive reasoning because in this a specific observation about the color of chickens and their eggs lead the individual to assume all white chickens lay white eggs and all colored chickens lay brown eggs, which means a specific case is used to get to a broad conclusion through generalization.
Answer:
To Prove: 
is equal to the sum of its Maclaurin series.
Step-by-step explanation:
If 
, then 
for all n. If d is any positive number and |x| ≤ d, then 
So Taylor's Inequality, with a = 0 and M = 
, says that 
Notice that the same constant 
works for every value of n.
But, since 
,
We have 
It follows from the Squeeze Theorem that 
and therefore 
for all values of x.
By this theorem above, is equal to the sum of its Maclaurin series, that is,
for all x.
Answer:
f(x) = 8(1/2)^x.
Step-by-step explanation:
According to the graph, there is a point at (0, 8) and (1, 4).
That means that when x = 0, y = 8.
8 = a(b)^0
1a = 8
a = 8
That means that a = 8, and when x = 1, y = 4.
4 = 8(b)^1
4 = 8b
8b = 4
b = 4/8
b = 1/2
So, f(x) = 8(1/2)^x.
Hope this helps!
Answer
W=7
Explanation:
The formula for the perimeter for a rectangle is P = 2L + 2W
The formula for the area of a rectangle is A = LW
where L = length and W = width
P = 22 and A = 28
22 = 2L + 2W
28 = LW
Rewriting the 2nd equation L = 28/W
Substituting this into the first equation
22=2(28/W) + 2W
Reworking the equation to eliminate the denominator
22W = 2(28) + 2W2
22W = 56 + 2W2
and
2W2 - 22W + 56 = 0
Dividing by 2
W2 - 11W + 28 = 0
(W-7)(W-4)
Set each factor equal to 0 and solve each for 0
W = 4, W = 7
then W = 4
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