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natima [27]
3 years ago
11

Why do you change the sign when subtracting a negative number?

Mathematics
2 answers:
natulia [17]3 years ago
5 0
This is because minus times minus is equals plus so the sign must change

jeka57 [31]3 years ago
3 0
Suppose  I am in debt to someone to the value of  $5.  Then we can say that my net worth is -5. Now my friend wants to help me out with my debt by 'taking away' the -5. He can do this by giving me $5 and now my debt is zero.

so  we can say that  these 2 are equivalent   -5-(-5) = -5 + 5 = 0.

Hope this helps.
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The first term in a sequence of numbers is 1/2
Andrei [34K]

Answer:

The correct answer is C. The 4th term is 11.

Step-by-step explanation:

Since the next term is one more than twice the previous, we can calculate it by the following expression:

a_{n} = 2*a_{n-1} + 1

So the second term is:

a_2 = 2*\frac{1}{2} + 1\\a_2 = 2

The third term:

a_3 = 2*2 + 1\\a_3 = 5

And the fourth term:

a_4 = 2*5 + 1\\a_4 = 10 + 1 = 11

The correct answer is C. The 4th term is 11.

7 0
3 years ago
What is 13 x 7? Show your work!
Olin [163]

Answer:

91

Step-by-step explanation:

This is the answer, I took a pic of the work

8 0
2 years ago
Read 2 more answers
The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 101010 denarii per day to support 444
givi [52]

<u>the correct question is</u>

The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 10 denarii per day to support 4 legionaries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?

Let

x-------> the cost to support a legionary per day

y-------> the cost to support an archer per day

we know that

4x+4y=10 ---------> equation 1

2x+2y=5 ---------> equation 2

If you multiply equation 1 by 2

2*(2x+2y)=2*5-----------> 4x+4y=10

so

equation 1 and equation 2 are the same

The system has infinite solutions-------> Is a consistent dependent system

therefore

<u>the answer is</u>

We cannot solve for a unique cost for each soldier, because there are infinite solutions.

5 0
3 years ago
Fill in the table using this function rule.<br> y = 10x-3<br> X<br> -<br> 0
dexar [7]

Answer:

Step-by-step explanation:

<em>y</em> = 10(- 1) - 3 = <em>- 13</em>

<em>y</em> = 10(0) - 3 = <em>- 3 </em>

<em>y</em> = 10(1)  - 3 =<em> 7 </em>

<em>y</em> = 10(5) - 3 = <em>47</em>

5 0
3 years ago
9/20
NISA [10]

For this case we must find the solution of the following quadratic equation:

x ^ 2 + 5x + 7 = 0

Where:

a = 1\\b = 5\\c = 7

Then, the solution is given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Substituting the values:

x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}

By definition we have:i ^ 2 = -1

x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}

Thus, we have two complex roots.

Answer:

The equation has no real roots.

4 0
3 years ago
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