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3 years ago

Explain at least 3 Properties of 0.

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

5 0

I honestly don’t know

Debora [2.8K]3 years ago

4 0

Answer:

Zero is even (not odd, not neutral)

Zero is neither positive nor negative (the only number with this property)

Zero is an integer (and must be considered when question limits choices to integers)

Zero is a multiple of all numbers (x*0 = 0, so a multiple of any x)

Step-by-step explanation:

Any number to the power of 0 is equal to 1. 0 is neither positive nor negative. 0 is neither prime nor composite. If you add two numbers and the sum is zero, we call the two numbers additive inverses or opposites of each other.

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An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 2 unit

Gala2k [10]

Answer:

475 transistors, 25 resistors and 50 computer chips can be produced.

Step-by-step explanation:

Let us consider, p = Number of transistors.

q = Number of resistors.

r = Number of computer chips.

The following three linear equations according to question,

$3\times p + 3\times q + 2\times r = 1600\\2\times p + 1\times q + 1\times r = 1025\\1\times p + 2\times q + 2\times r = 625$

The matrix form of any system, Ax = B

Where, A = Coefficient matrix

B = Constant vector

x = Variable vector

$A = \left[\begin{array}{ccc}3&3&2\\2&1&1\\1&2&2\end{array}\right], x = \left[\begin{array}{ccc}p\\q\\r\end{array}\right], B = \left[\begin{array}{ccc}1600\\1025\\625\end{array}\right]$

The inverse matrix, $A^{-1}$ can be found by using the following formula,

$A^{-1} = \frac{1}{det A}\times (C_{A}) ^{T}$

Where, det A = Determinant of matrix A.

$C_{A}$ = Matrix of cofactors of A

Now, applying this formula to find $A^{-1}$ ;

$det A = \left[\begin{array}{ccc}3&3&2\\2&1&1\\1&2&2\end{array}\right] = 3\times(2-2)-3\times(4-1)+2\times(4-1) = -3$

Here, $det A\neq 0$ , thus the matrix is invertible.

$C_{A} = \left[\begin{array}{ccc}(2-2)&-(4-1)&(4-1)\\-(6-4)&(6-2)&-(6-3)\\(3-2)&-(3-4)&(3-6)\end{array}\right] = \left[\begin{array}{ccc}0&-3&3\\-2&4&-3\\1&1&-3\end{array}\right] \\(C_{A}) ^{T} = \left[\begin{array}{ccc}0&-3&3\\-2&4&-3\\1&1&-3\end{array}\right] ^{T} = \left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]$

$A^{-1} = \frac{1}{-3}\times\left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right] \\ So, x= \frac{1}{-3} \left[\begin{array}{ccc}0&-2&1\\-3&4&1\\3&-3&-3\end{array}\right]\times\left[\begin{array}{ccc}1600\\1025\\625\end{array}\right]= \frac{1}{-3} \left[\begin{array}{ccc}-1425\\-75\\-150\end{array}\right] = \left[\begin{array}{ccc}475\\25\\50\end{array}\right]$

So, p = 475, q = 25, r = 50.

7 0

3 years ago

6) PLEASE HELP WITH QUESTION.<br><br> MARKING BRAINLIEST + POINTS GIVEN

ArbitrLikvidat [17]

Positive Nine is the right answer after direct substitution.

3 0

4 years ago

James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have bud

olga_2 [115]

To write an equation and simplify it, I'll start with this:

$4,500 = $90 + $39X Let X represent the amount of people attending the party.

Subtract 90 and both sides of the equation to make the $39X alone.

$4,410 = $39X

Divide $39 into both sides of the equation to isolate or bring X alone.

113.076923 = X

Now since we have to round down, we will do 113.
Answer: 113 people can attend the anniversary party.

3 0

3 years ago

Read 2 more answers

Please help me it this question

kykrilka [37]

Answer:

4cm ×6cm(parallelogram)

5 0

3 years ago

If granola costs $2.20 per pound, how much does 0.8 pound of granola cost?

alexgriva [62]

Answer:

$1.76

Step-by-step explanation:

when you multiply 2.20x 0.8 you get 1.76. at first I thought division was needed, but the answer to 2.20/0.8 is 2.75- which is more than the original cost. (sorry if this is confusing but) 0.8 pound is less than 1 pound, so the answer would need to be less than 2.20.

8 0

3 years ago

Read 2 more answers