Answer:
The hypothesis of the conditional is "<em>A number is odd</em>".
Step-by-step explanation:
The statement can be represented by the following proposition:
(Eq. 1)
Where:
is the hypothesis of the proposition.
is the conclusion of the proposition.
- Binary connector, which means "If...., then...."
In this case, we present what each propostion represents:
P = A number is odd.
Q = It has a remainder of 1 when divided by 2.
In consequence, the hypothesis of the conditional is "<em>A number is odd</em>".
Answer:
a1) The model is a = 15/b
a2) When a = 10, b = 1.5
b) The polynomial function in standard form is
Step-by-step explanation:
a1) Since a and b varies inversely and a = 9, b = 5/3. First find the constant of proportionality.
The function that models the inverse variation is :
a = 15/b............(1)
a2) When a = 10, find b.
Substituting the value of a into equation (1)
10 = 15/b
b = 15/10
b = 1.5
b) Find the polynomial function with zeroes 1, 2, -2,3
The factors of the polynomials are x -1, x - 2, x + 2, x - 3.
The polynomial becomes:
It would be 12 weeks because if you multiply 5 by 12 then you would get 60 and 60min equals and hour.
Answer:
12cm
Step-by-step explanation:
1. Define the variable:
x = length of the rectangle
2x = width of the rectangle
2. Set the equation:
x + 2x is half of the rectangle
2(x + 2x) is the perimeter
So,
2(x + 2x) = 36
2x + 4x = 36
6x = 36
x = 6
Since x is the length, multiply it by 2 to find the width.
2x = 12
Answer:
15 yards³
Step-by-step explanation:
Volume = 1/3 × [Base Area] × Height
1/3×[3×3]×5 yards³
1/3×9×5 "
3×5 "
15 "