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trasher [3.6K]
3 years ago
10

Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex

pression.See example 2.
- 1 + In e2x
Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

2x - 1

Step-by-step explanation:

Since logarithm has the following property:

If f(x)=b^x and g(x)=\log_bx,

Then fog=b^{\log_bx}=x and gof=\log_bbx=x

Therefore,

- 1 + \ln e^{2x} = - 1 + \log_e e^{2x} = 2x-1

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Use partial products to multiply 2,104 x 8. 2,104 32 8 x 4 ones 0 8 x 0 tens N 1 hundreds 8 x 2 thousands - 16.000​
xeze [42]

9514 1404 393

Answer:

  16832

Step-by-step explanation:

As your problem statement says, ...

  2104 × 8 = 4×8 +00×8 +100×8 +2000×8

  = 32 +0 +800 +16000

  = 16,832

7 0
3 years ago
Can someone help me with this please​
fredd [130]

Answer:

refgwtweqrt54hwvebrt45hwvgt4h5wvr4eth5wevr4gth5grwve4gth5

Step-by-step explanation:

8 0
3 years ago
If f(1) = 0, what are all the roots of the function f(x)=x^3+3x^2-x-3? Use the Remainder Theorem.
Sophie [7]
There's no if about it, 

f(x)=x^3+3x^2-x-3


has a zero f(1)=0 so x-1 is a factor.   That's the special case of the Remainder Theorem; since f(1)=0 we'll get a remainder of zero when we divide f(x) by x-1.

At this point we can just divide or we can try more little numbers in the function.  It doesn't take too long to discover f(-1)=0 too, so  x+1 is a factor too by the remainder theorem.  I can find the third zero as well; but let's say that's out of range for most folks.

So far we have 

x^3+3x^2-x-3 = (x-1)(x+1)(x-r)

where r is the zero we haven't guessed yet.  Again we could divide f(x) by (x-1)(x+1)=x^2-1 but just looking at the constant term we must have

-3 = -1 (1)(-r) = r

so

x^3+3x^2-x-3 = (x-1)(x+1)(x+3)

We check f(-3)=(-3)^3+3(-3)^2 -(-3)-3 = 0 \quad\checkmark

We usually talk about the zeros of a function and the roots of an equation; here we have a function f(x) whose zeros are

x=1, x=-1, x=-3

8 0
3 years ago
Read 2 more answers
Income Taxes: Mastery Test
Margarita [4]

Answer:

1. tax deductions 2. the one that isn't amount of tax owed

Step-by-step explanation:

got the first part right and reviewed it on plato to see that The amount of tax owed is not the right answer.

4 0
2 years ago
9. Determine the volume of concrete needed to build a ramp in the shape of a triangular prism to the nearest tenth of a cubic me
kogti [31]

Answer:

67.5

Step-by-step explanation:

I've learned this multiple ways but in my opinion this is the easiest. Just times everything together so, 40 x 2.5 x 1.2 which equals 135 and then divide 135 by 2 which equals your answer of 67.5 which is rounded to the nearestt tenth already.

6 0
3 years ago
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