Answer:
A conditional statement is something like:
If P, then Q.
P = hypothesis.
Q = conclusion.
In this case, we have:
"If a polygon is a quadrilateral, then it is a square".
1) The hypothesis is: a polygon is a quadrilateral
2) The conclusion is: it is a square
3) It is not true, because there are other quadrilaterals that are not squares, for example, the rectangles.
4) The inverse of a conditional statement is (using the same notation than above)
If not P, then not Q.
In this case is:
"If a polygon is not a quadrilateral, then it is not a square"
(this is true)
5) A converse statement is:
If Q, then P
In this case is:
"if it is a square, then the polygon is a quadrilateral"
(Also true)
6) A biconditional statement is written as:
P if and only if Q.
In this case is:
A polygon is a quadrilateral if and only if it is a square.
(This is false)
Let two consecutive numbers are : x,x+1
Sum of these numbers is -11, then
x+x+1=−11
⇒2x=−11−1=−12
⇒x=−6
and other consecutive number is x+1=−6+1=−5
The answer is -6 and −5
Answer:
Step-by-step explanation:
It's an equation of a linear function in the slope-intercept form:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The domain of any linear function is the set of all real numbers.
The range of any linear function where m ≠ 0 is the set of all real number.
If m = 0, then the equation of a line is y = b. Then the range is {b}.
We have m = 1/4 ≠ 0. Therefore the range is the set of any real numbers.
Answer:
.6315 or 63.15%
Step-by-step explanation:
not sure if the question is trying to be tricky, but there are 0 and 00 which makes a total of 38 numbers on the wheel (and they are less than 12)
24/38 = .6315
Answer:
P(x) = 3x - 150
Step-by-step explanation:
Step-by-step explanation:
P(x) = R(x) - C(x)
Given:
R(x) = 5x
C(x) = 2x + 150
P(x) = 5x -(2x+150)
P(x) = 5x - 2x -150
P(x) = 3x - 150 <- Answer
