3 years ago

Explain why n(n-1) must be an even number

1 answer:

3 0

Whether n is an even or odd number, you will always have an even number and an odd number multiplying each other. An even number times an odd number is always an even number.

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Decrease 680 by 25% ????????????

pashok25 [27]

25÷100=0.25 0.25×680=170 is the answer

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3 years ago

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The ordered pairs (1, 1), (2, 8), (3, 27), (4, 64), and (5, 125) represent a function. What is a

sergij07 [2.7K]

Answer:

Y=x^3 the answer is not there

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4 years ago

8. a. If A is 5 x 5 matrix and det(A) = 3 then det(2A) = --------- b. If A is 100 x 100 matrix and det( A) = m then det(-A) = --

cricket20 [7]

Answer:

a) det(A)=96; b) det(A)=m;

Step-by-step explanation:

If we have a $n \times n$ matrix A and a constant $t \in \mathbb{R}$ . It holds that $\det(tA)=t^n\det(A)$ , hence

(a) If A is a $5x5$ matrix and $\det(A)=3$ , then we have

$\det(2A)=2^5\cdot \det(A)= 32 \cdot 3=96$

(b) If A is $100 \times 100$ matrix and $\det(A)=m$ , then we have

$\det(-A)=(-1)^{100}\det(A)=(-1)^{100}\cdot m=1 \cdot m = m$

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4 years ago

A student's tuition was $1500. If a scholarship paid for 4/5 of the tuition, how much was the scholarship?

hichkok12 [17]

The scholarship would be $1200

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3 years ago

Find all the natural numbers, which when divided by 7, leave the same number for the quotient and the remainder.

Anna11 [10]

Answer:

8,16,24,32,48

Step-by-step explanation:

When dividing a number by 7, only 7 different remainders are possible.

The remainders when dividing by 7 can not exceed 6, so the numbers in which we are interested can be represented as 7k+k or just 8k, where k=1, 2, ... , 6.

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4 years ago