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Reika [66]
1 year ago
9

Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.

Mathematics
1 answer:
ICE Princess25 [194]1 year ago
5 0

Answer:

Step-by-step explanation:

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Question 6
Alecsey [184]
1200, (2)3+(2)2+2 = 6+4+2 = 12 12(100)= 1200
3 0
3 years ago
Can someone help. pls ​
Elan Coil [88]

Answer: 5

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2 (hypotenuse)

the square root of 4^2 + 3^2 = c

c = 5

3 0
2 years ago
afamily had dinner in a restaurant. If the cost of the cdinner was Rs. 2500, how much did the family pay with 10% service charge
yan [13]

Step-by-step explanation:

Find 10%:

100% = 2500

1% = 2500 divide 100

= 25

10% = 25 x 10 = 250

Find the 13% vat:

13% = 25 x 13 = 325

Find the total amount he got charged:

325 + 250 = 575

Total amount he had to pay for dinner + charges:

2500 + 575 = 3075

Answer: Rs. 3075

3 0
3 years ago
I need help with number 4 I can’t get an answer
Alecsey [184]

Answer:

14.93

Step-by-step explanation:

For this problem you need to know distance formula, which is

d=√(x2-x1)²+(y2-y1)². You'll want to plug in (0,3) and (-2, 9) and go on to plug in all of them at some point. You'll get 6.32 as the distance between (0,3) and (-2, 9), 3.61 as the distance between (-2, 9) and (-4, 6), and 5 as the distance between (-4, 6) and (0, 3). You add them up and get your answer.

7 0
3 years ago
What is the function of this graph?
Lesechka [4]

Answer:

x=y^2-2

Step-by-step explanation:

This graph, is a parabola that opens to the right.

To answer this question, we just use the vertex form of a sideways parabola- x=a(y-k)^2+h.

In this case, the vertex is (-2, 0), and our value of a is 1, since it opens to the right.

This gives us: x=1(y-0)^2+(-2)

Which simplifies to: x=y^2-2.

Also, the answer to the previous two questions are wrong.

The D value (Domain) is actually [2, ∞)

The R value (Range) is actually "All real numbers" (-∞, ∞)

Let me know if this helps!

3 0
2 years ago
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