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navik [9.2K]
3 years ago
14

Subtracting a number is the same as adding its opposite.

Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

Answer:

in first question, answer is 12

in second question, answer is -12

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Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th
Anna [14]

Step-by-step explanation:

We need to show whether

f^{-1}(x) = g(x)

or

g^{-1}(x) = f(x)

so we'll do either one of them,

we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

f(x) = e^x - 1

we can also write it as:

y = e^x - 1

now all we have to do is to make x the subject of the equation.

y+1 = e^x

\ln{(y+1)} = x

x=\ln{(y+1)}

now we'll interchange the variables

y=\ln{(x+1)}

this is the inverse of f(x)

f^{-1}(x)=\ln{(x+1)}

and it does equal to g(x)

g(x)=\ln{(x+1)}

Hence, both functions are inverse of each other!

This can be shown graphically too:

we can see that both functions are reflections of each other about the line y=x.

4 0
3 years ago
A. 2,464 cm^2<br> B. 2,364 cm ^2<br> C. 1,464 cm^2<br> D. 1,364 cm^2
Nastasia [14]

Answer:

c 1464 cm ^2 is the answer

5 0
3 years ago
Pls help ASAP NUMBER 2
Lisa [10]

Answer:

The answer to the question is 2 and 5

5 0
3 years ago
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Willie left the mall and traveled toward the town hall at an average speed of 40 km/h. Gabriella left two hors later and travele
mezya [45]

Answer:

<em>3 hours</em>

Step-by-step explanation:

Given that:

Average speed of Willie = 40 km/h

After 2 hours, Gabriella traveled in opposite direction at an speed of 70 km/h.

After some time, they are 410 km apart.

To find:

Number of hours = ?

Solution:

For the first two hours, Willie traveled alone.

Formula for distance:

Distance = Speed \times Time

Distance traveled in two hours by Willie = 40 \times 2 = 80\ km

Now, they both travel in opposite directions.

So the relative speed is = 40 + 70 = 110 km/h

The distance traveled by them = 410 - 80 = 330 km

Time\ taken = \dfrac{330}{110} = 3\ hours

Therefore, the time taken is <em>3 hours.</em>

5 0
3 years ago
Find the common ratio and an explicit form in each of the following geometric sequences.
Margaret [11]

Answer:

The explicit form is a_{n}=162(2/3)^{n-1}

Step-by-step explanation:

The explicit form of a geometric sequence is given by:

a_{n}=ar^{n-1}

where an is the nth term, a is the first term of the sequence and r is the common ratio.

In this case:

a=162

The value of the common ratio is obtained by dividing one term by the previous term.

For the first and second terms:

108/162=2/3

For the second and third terms (In order to prove that 2/3 is the common ratio)

72/108=2/3

Therefore:

r=2/3

Replacing a and r in the formula:

a_{n}=162(2/3)^{n-1}

7 0
3 years ago
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