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Norma-Jean [14]
4 years ago
8

Is the difference between two rational numbers always as rational number?

Mathematics
1 answer:
sineoko [7]4 years ago
4 0

Yes, the difference of rationals is always a rational.

Consider a/b - c/d, where a, b, c, d are integers with bd≠0.

The difference can be written as

... a/b - c/d = (ad - bc)/(bd)

where each product of integers is also an integer, hence this expression is rational.

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Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).
motikmotik

Answer:

y = 3(2)^{x}

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = ab^{5} → (2)

Divide (2) by (1)

\frac{ab^5}{ab^2} = \frac{96}{12} , that is

b³ = 8 ( take the cube root of both sides )

b = \sqrt[3]{8} = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3(2)^{x} ← is the exponential function

3 0
4 years ago
The expression 34−10+3+2=78 is an example of
Jobisdone [24]

Answer: simplifying expression

Step-by-step explanation:

7 0
3 years ago
Suhana left at 11:45 to a trip to Dubai Expo 2020 and arrived at her destination 4 hours and 25 minutes later. What time did she
sleet_krkn [62]

Answer:

4:10

Step-by-step explanation:

let's start by adding 4 hours to 11:45

12:45

1:45

2:45

3:45

now let's add 25 minutes

3:70

that is 4:10

3 0
3 years ago
Find two consecutive positive integers whose product is 72.
Verdich [7]

Answer:

8 and 9

Step-by-step explanation:

8 x 9 = 72

The two consecutive positive integers whose product is 72 are 8 and 9

8 0
3 years ago
Read 2 more answers
-5x is - 40 + 3x<br> Find x
irina [24]

Answer: x = 5

Step-by-step explanation:

1. Set the two given expressions equal to each other (because the problem says they are interchangeable)

-5x = -40+3x

2. Subtract 3x from -5x to have x on one side of the equation.

-8x = -40

3. Divide each side by -8 to get the value of x.

x = 5

8 0
3 years ago
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