If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
Answer:
Your answer is going to be p=9.
Step-by-step explanation:
3(2p+7)=15(p-4)
6p+21=15p-60
+60 +60
6p+81=15p
-6p -6p
(81)/9=(9p)/9
p=9
Answer:
B. 18/48 and 21/56
C. 20/28 and 15/18
Step-by-step explanation:
Simplifying 18/48 = 3/8
Simplifying 21/56 = 3/8
Simplifying 20/ 28= 5/7
Simplifying 15/18 = 5/7
Answer:
a
Step-by-step explanation:
The markup percentage specifies the amount by which the selling price is
raised above the cost price.
- The correct option for the selling price is <u>B. p 1,070.00</u>
Reasons:
The original cost of the album = p900
The mark up percentage = 30%
Required:
The selling price
Solution:
The percentage mark up is given by the difference between the price at
which an item is for sale and its cost expressed as a percentage.
Therefore, we have;
900 × 0.3 = Selling price - 900
270 = Selling price - 900
Selling price = 900 + 270 = 1,070
The selling price is <u>B. p 1,070.00</u>
Learn more about percentage markup here:
brainly.com/question/16959984
