Conditional statement is a statement with a hypotesis and a conclusion:
or mathematically 
.
Converse statement of is statement 
.
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:
.
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:
.
Example:
1. Conditional statement: If I am sleeping, then I have closed eyes. (true)
2. Converse statement: If I have closed eyes, then I'm sleeping. (not necessarily true)
3. Inverse statement: If I'm not sleeping, then I haven't closed eyes. (not necessarily true)
4. Contrapositive statement: If I haven't closed eyes, then I'm not sleeping. (true)
Answer: 3000 inch
Step-by-step explanation: Volume= l*w*h
15*8*25
x=34 is the correct answer!
Answer:
No , the division property of equality.
Step-by-step explanation:
The Division Property of Equality states that if you divide both sides of an equation by the same nonzero number, the sides remain equal.
Hope this helps!!
9514 1404 393
Answer:
D: all real numbers
R: f(x) > 0
A: f(x) = 0
(-∞, 0), (+∞, +∞)
vertical stretch by a factor of 2; left shift 2 units
Step-by-step explanation:
The transformation ...
g(x) = a·f(b(x -c)) +d
does the following:
- vertical stretch by a factor of 'a'
- horizontal compression by a factor of 'b'
- translation right by 'c' units
- translation up by 'd' units
For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.
__
Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.
__
As with all exponential functions, ...
- the domain is "all real numbers"
- the range is all numbers above the asymptote: f(x) > 0
- the horizontal asymptote is f(x) = 0
The function is a growth function, so ...
- x → -∞, f(x) → 0
- x → ∞, f(x) → ∞
_____
<em>Additional comment</em>
The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...
f(x) = 18(3^x)
with no left shift and a vertical stretch by a factor of 18 instead of 2.
