Answer:
We will add 64 to both sides.
x=8±√20
Step-by-step explanation:
Here we are given the equation:
Now we take half of the coefficient of x and add it to x.
Coefficient of x is 16, half of 16 is 8.
Also we add square of 8 to both sides.
So new equation becomes:
Completing the square:
NOw let us simplify it to get the value of x.
Taking square root on both sides:
Bringing 8 to the right side:
x=8±√20
Answer: x= -8/3 y + -20/3
Step-by-step explanation:
Answer:
1. The hypothesis of the conditional statement = If a polygon is a quadrilateral
2. The conclusion of the conditional statement = It is a square
3. The conditional statement is false
The counterexample is a rhombus is a quadrilateral, but it is not a square
4. The inverse of the conditional statement = If a polygon is not a quadrilateral, then it is not a square
5. The converse of the conditional statement is; If a polygon is a square, then it is a quadrilateral
6. The biconditional statement is; A polygon is a quadrilateral if and only if it is a square
Step-by-step explanation:
A conditional statement is of the following form;
In logical form
If M, then N M → N
1) The hypothesis = M
2) The conclusion = N
3) A counterexample is a statement that is in line with the conditions of the statement but clearly does not lead to the conditions of the statement
4) The inverse of a conditional statement is; if not M then not N which is written mathematically as ~M → ~N
5) The converse of a conditional statement is; if N then N which is written mathematically as N → M
6) The biconditional statement is M if and only if N The inverse of a conditional statement is; if not M then not N which is written mathematically as M ↔ N
Answer:
we choose f(x) = π cos(πx)
Step-by-step explanation:
Given the information:
Let analyse all possible answers;
1/ f(x) = -2 sec(x)
when x= 0 we have: f(0) = -2 sec(0) = -2 = -2 wrong
2. f(x) = 7sin(x/4 - 1/29)
when x= 0 we have: f(0) =7sin(0/4 - 1/29) = 7sin(-1/29) = -0.00421 wrong
3. (x) = π cos(πx)
when x= 0 we have: f(0) = πcos(π0)
= cos(0) = π0 = 0
when x= 2 we have: f(2) = πcos(π2)
= πcos(0) = π
True
4. f(x) = 2π cos(x - π/2)
when x= 0 we have: f(0) = 2π cos(0 - π/2) = 2π cos(-π/2) = 0
when x= 2 we have: f(2) =2π cos(2 - π/2) = 2π0.034 = 0.0697π Wrong
So we choose f(x) = π cos(πx)
Answer:
For 10 people:
Cost CD'S: 10 x 11 = 110
Cost Cassettes: 10 x 7 = 70
Total Cost = 110 + 70 = 180
For 6 people:
Cost CD's: 6 x 11 = 66
Cost Cassettes: 6 x 7 = 42
Total Cost = 66 + 42 = 108