Answer: 9 (2x + 1)
Step-by-step explanation: i hope i helped
Answer:
Perpendicular lines are lines that intersect at a right (90 degrees) angle
Step-by-step explanation:
Answer:
x + 2
Step-by-step explanation:
If we know one of the factors, we should be able to use long division.
We can divide the trinomial by the binomial and find the other factor.
<u>x + 2</u><u> </u>
x² + 4x + 3)x³ + 6x² + 11x + 6
<u>x³ + 4x² + 3x</u>
2x² + 8x + 6
<u>2x² + 8x + 6</u>
0
Thus,
Answer:
Take the number of weeks as x
12x = 544 - 100
x =444/12
x = 37
Thus it would take her 37 weeks to buy her a laptop
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.
