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oksian1 [2.3K]
3 years ago
14

Help with #5? thanks!

Mathematics
1 answer:
Alona [7]3 years ago
8 0
The answer is 1, I would explain it but it’s a lot to type onto here.
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1.Show that the statement p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by
Genrish500 [490]

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.

8 0
2 years ago
Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above
Anit [1.1K]

a.

Scottie =  30

Top of the lighthouse =  45   (30+15)

The boat =  0

The fish = -10

b.

10 + 30 = 40

5 0
3 years ago
Read 2 more answers
PLEASE HELP IM BEHIND AND SCHOOL IS OUT IN 2 DAYS
Alexxx [7]

Answer: #1 his school is out

Step-by-step explanation: #2 bcuz all sides equal to 66cm.

Please mark me brainlest.✌✌

5 0
3 years ago
Do 2(x, y) → (3,5).<br> The point (x,y) is
Elan Coil [88]

Answer:

(1.5, 2.5)

Step-by-step explanation:

(x,y) is being multiplied by 2 to get (3,5). We need to divide it by 2 to find x and y.

3/2= 1.5

5/2=2.5

Thus, the answer is (1.5, 2.5). Hope this helped!

8 0
3 years ago
PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Marina86 [1]

x = -6

y = -3

hope this helps!

8 0
2 years ago
Read 2 more answers
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