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3 years ago

Is it possible to add to negative numbers and get a positive? give reasons for your response

Mathematics

2 answers:

Elodia [21]3 years ago

8 0

Step-by-step explanation:

yes it is possible to get a positive number from adding to a negative number because you can add a -4 + 6 and you'll come out with 2, a positive number anything lower then the negative number across would come out negavie like -4 + -2 comes out as -2 but yes it is possible

Georgia [21]3 years ago

7 0

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The 3 × 3 matrix P satisfies the matrix equation P^2 = P.

riadik2000 [5.3K]

Answer: The answers are given below.

Step-by-step explanation: Given that a 3 × 3 matrix P satisfies the matrix equation P² = P.

We are to

(a) find the possibilities for the determinant of P.

(b) explain the reason behind there are no other possibilities.

(c) give an example of P, for each possible determinant.

(a) According to the given information, we have

$P^2=P\\\\\Rightarrow P^2-P=0\\\\\Rightarrow P(P-I)=0\\\\\Rightarrow P=0,~~~P=I.$

So, P can be either a zero matrix of order 3 or an identity matrix of order 3.

If P = 0, then det(P) = 0 and if P = I, then det(P) = 1.

Therefore the possible determinants of P are 0 and 1.

(b) There can be any other determinant other than 0 and 1, because if so, then the given equation P² = P will not be satisfied.

(c) If |P| = 0, then the matrix P can be can be of the form as follows:

$P=\left[\begin{array}{ccc}0&0&0\\0&0&0\\0&0&0\end{array}\right] .$

If |P| = 1, the the matrix P can be of the form as follows :

$P=\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] .$

Thus, all the parts are answered.

4 0

3 years ago

URGENT 23-28 with work

dybincka [34]

-5 This is the answer with the work
23
-28
-----
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7 0

3 years ago

Beulah used 3/5 pounds of dough, 3/4 pound of sugar, & 2/3 pounds of sprinkles to make donuts. How many pounds of donuts did

andre [41]

Number of pounds of dough used = 3/5 pounds.

Number of pounds of sugar used = 3/4 pounds

Number of pounds of sprinkles used = 2/3 pounds.

Total number of pounds of donuts = Number of pounds of dough used + Number of pounds of sugar used + Number of pounds of sprinkles used.

Plugging values.

Total number of pounds of donuts = 3/5 + 3/4 + 2/3.

We need to add all those fractions.

In order to add fracions, we need to find common denominator (lcd).

We have 5,4 and 3 in denominators.

Least common denominator(lcd) of 5, 4 and 3 is 60.

We need to make each denominator equals 60.

Multiplying first fracion by 12 in top and bottom, we get

3*12/5*12 = 36/60

Multiplying first fracion by 5 in top and bottom, we get

3*15/4*15 = 45/60

Multiplying first fracion by 20 in top and bottom, we get

2*20/3*20 = 40/60.

Therefore,

3/5 + 3/4 + 2/3 = 36/60 + 45/60 + 40/60

= 121/60

Let us convert 121/60 into mixed fraction.

Dividing 121 by 60 we get quotient =2 and remainder =1.

So, the mixed fraction is 2 1/60.

Therefore, Beulah made total 2 1/60 pounds of donuts.

4 0

4 years ago

Lynn takes her puppy, Olive, to a doggy daycare. The price for the daycare is $21 per day along with a monthly admission fee of

Lapatulllka [165]

Hello there!

We can use the following expression:

$426 ÷ $48 = d

Hope this helps! Tell me if I'm wrong!

~DL

5 0

3 years ago

Read 2 more answers

Micheal solved this inequality as shown: step 1: -6(x + 3) + 10 < -2 step 2: -6x - 18 + 10 < -2 step 3: -6x - 8 < -2 st

Anastaziya [24]

<h3>Answer: addition property of inequality</h3>

================================================

Explanation:

These are the steps to focus on

step 3: -6x - 8 < -2

step 4: -6x < 6

The move from the third step to the fourth step has us adding 8 to both sides. Therefore, we use the addition property of inequality.

That property has four forms

If $a > b$ then $a + c > b+c$
If $a < b$ then $a+c < b+c$
If $a \ge b$ then $a + c \ge b+c$
If $a \le b$ then $a+c \le b+c$

It's similar to the idea of starting with a = b, then adding c to both sides to get a+c = b+c

We add the same thing to both sides to keep things balanced.

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2 years ago