A and b are both accurate
For a:
which is true
For b:
which is also true
Answer:
Original price: $
55
Discount percentage: 25
%
Discount: $13.75
Final Price: $41.25
Answer:
The answer to your question is: y ≥ - x + 6 and y ≥ x - 4
Step-by-step explanation:
Look of a pairs of points for each graph
Line 1 Line 2
A(0, 6) B (5, 1) C (7,3) D(5, 1)
m = (1- 6) / (5- 0) m = (1 - 3) / (5 - 7)
m = -5/5 = -1 m = -2 / -2 = 1
Find the line equation for each slope (y - y1) = m (x - x1)
(y - 1) = -1 (x - 5) (y - 1) = 1 (x - 5)
y - 1 = -x + 5 y -1 = x - 5
y = -x + 5 + 1 y = x - 5 + 1
y = -x + 6 y = x - 4
Inequality
y ≥ - x + 6 y ≥ x - 4
Complete Question
Let P (n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof that P (n) is true for n ≥ 18.
Show statements P (18), P (19), P (20), and P (21) are true, completing the basis step of the proof.
Answer:
P(18) is true
P(19) is true
P(20) is true
P(21) is true
Step-by-step explanation:
a. When n = 18
18 cents can be formed using two 7cents and one 4cents
i.e. 2 * 7 + 4 = 18
So, P(18) is true
b. When n = 19
19 cents can be formed using one 7cents and three 4cents
i.e. 1 * 7 + 3 * 4 = 19
So, P(19) is true
c. When n = 20
18 cents can be formed using five 4cents
i.e. 5 * 4 = 20
So, P(20) is true
d. When n = 21
18 cents can be formed using three 7cents
i.e. 3 * 7 = 21
So, P(21) is true
Answer:
The correct matrices are:
Matrix:
7 1 5
1 5 7
5 7 1
all diagonal elements of A^2 are: 7^2 + 1^2 + 5^2
Matrix:
9 18 27
27 -9 18
18 27 9
all diagonal elements of A^2 are: 9^2 + 27*18 + 18*27 or (-9)^2
Matrix:
8 1 6
6 8 1
1 6 8
all diagonal elements of A^2 are: 8^2 + 6*1 + 1*6