Explain the different ways it is possible to add two rational numbers and get a negative number

Answers

Answer 1
Answer: Answer:
both numbers are negative
negative number is greater than the positive number

Explanation:
In order to add two rational numbers and get a negative value, one of two scenarios should occur:
1- both numbers are negative.
In this case, the answer would definitely be negative as the two numbers are originally negative
Examples:
-9 + -2 = -9 - 2 = -11
(-1)/(2) +   (-3)/(2) =  (-4)/(2) = -2

2- negative number is greater than the positive number
In this case, the negative sign would dominate and the result would be negative
Examples:
-9 + 3 = -6
(-5)/(6) +  (2)/(6) =  (-3)/(6)

Hope this helps :)
Answer 2
Answer:
-- If both of them are negative,

or

-- If their signs are different and the negative number has
a bigger absolute value than the positive one,

then

-- Their sum is negative.

Actually, I don't think it matters whether they're rational or not.


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How do you evaluate
lim(x->0) sin(9x)/6x?

Answers

Hello,
we know that lim sin x /x =1 when x->0

lim sin(9x)/6x=1/6 lim sin (9x)/ x=1/6 lim sin( 9x) /(9x)  *9=9/6=3/2

What is 15/8 as a mixed number

Answers

1 and 7/8 is the answer

"From the graph of g, state the intervals on which g is continuous. Select all that apply.(-INFINITY, -4]
(-INFINITY, -4)
[-4,-2]
[-4,-2)
[-2,2]
(-2,2)
[2,4]
[2,4)
[4,6]
(4,6)
[6,8]
(6,8)
[8,INFINITY)
(8,INFINITY)"

Answers

Final answer:

Without seeing the graph, it's not possible to give specific intervals where the function g is continuous. However, based on interval notation, round brackets indicate the end points are not included, while square brackets show they are included. Therefore, the function is continuous where the graph does not have gaps, jumps or holes.

Explanation:

Without seeing the exact graph, it's impossible to accurately determine the intervals on which g is continuous. However, in general, a function is said to be continuous over an interval if the graph is unbroken over this interval, without any gaps, jumps, or holes. To determine this from the choices provided, generally you'll need to look at the graph and see where there is an uninterrupted line.

A key thing to note is how the intervals are represented. For instance, an interval like (-Infinity, -4] means that the function is continuous from negative infinity up to and including -4. The round bracket, '( )', means that the end points are not included in the interval, while the square brackets, '[ ]', indicate that they are included.

Learn more about Intervals of Continuity here:

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What is the answer to 10 - 5 2/3

Answers

I'm assuming you mean 10 - 5 (2)/(3)

10 - 5 = 5
5 - (2)/(3) = 4 (1)/(3)

So your answer would be 4 (1)/(3)

The circumference of a circle with a diameter 1.8cm take pie to be 3.142

Answers

The formula to get the circumference is 2πr, π being pi and r being your radius.

Your r is 0.9 since the radius is half the diameter.

2πr = 2 x 3.142 x 0.9

= 5.6556cm

≈ 5.7cm

What is the domain of the exponential function f(x) = 3 ^ x - 5

Answers

Answer:

The domain of the exponential function f(x) = 3 ^ x - 5 is (-infinity, infinity)

What is the exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.

What is the exponential function formula?

Exponential Function Formula

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

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Answer:

(-infinity, infinity)

Step-by-step explanation: