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kiruha [24]
3 years ago
5

Adding and subtracting matrices

Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0

We can only sum matrices with equal order, so we can't sum matrices A and B in the first exercise.

As for the second exercise, we have:

  • False
  • True
  • True
  • True
  • True
  • False

All of these answers depend on the fact that the sum/difference of two matrices is simply the sum/difference of the correspondent elements. So, if the element in the i-th row and the j-th column of A is a_{ij} and the element in the i-th row and the j-th column of B is b_{ij}, we have

C=A+B\implies c_{ij} = a_{ij}+b_{ij}

So, the sum between matrices inherits the properties of the sum between numbers: the order matters when you subtract (which is why a and f are false), the sum is commutative (which is why b, c, d are true) and associative (which is why e is true).

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Simplify: 3x^2-8x+4 and show work please
Bad White [126]

believe what you're asking is to turn the trinomial into two binomials

So you first have to get 3x²; the only way to get this is

(3x    )(x     )     when multiplying that, you would get 3x²

when dealing with the -8x and the 4, you must find numbers that are factors of four (when multiplied together they will equal 4) and will multiply with the x's to get -8

(3x-2)(x-2)

you can tell that this is the answer because when you multiply though you will get:

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or: 3x²-8x_4

Hope this helped


5 0
3 years ago
A businessman marks the price of a washing machine 30% above the cost price and provided 15% discount. Find the profit percentag
sergiy2304 [10]

Answer:

10.5 percents

Step-by-step explanation:

1)100+30=130 percents;

2) 130/100*15=19.5percents of discount from the first price

3) 130-19.5=110.5 percents- new price from the initial price

4)110.5-100=10.5 percents - the percentage of profit

6 0
3 years ago
What numbers are a distance of 3/4 unit from 1/8 on a number line?
Tasya [4]
1/8 + 3/4 = 1/8 + 6/8 = 7/8 (to the right)
1/8 - 3/4 = 1/8 - 6/8 = -5/8 (to the left)

Answers are 7/8 and -5/8.
5 0
3 years ago
Solve this equation by first dividing both sides by 2<br><br> 2(x + 12) = 4x -6
NikAS [45]

Hello!

In order to solve this equation, you need to divide both sides by 2:

\bf{2(x+12)=4x-6}

\bf{x+12=2x-3}

Hope it helps! :)

Have a great day!

3 0
2 years ago
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sashaice [31]
7.23 x 10^14
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4 0
3 years ago
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