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iren [92.7K]
3 years ago
13

Find the x- and y-intercepts of the function f(x) = log(2x + 1) − 1.

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

The y-intercept is -1

The x-intercept is 4.5

Step-by-step explanation:

We have the following equation:

f(x) = log(2x+1) - 1

The y intercept is the value of f(x) when x is equal to 0, so replacing x by 0 and solving for f(x), we get:

f(0) = log(2*0 + 1 ) -1

f(0) = log(1) - 1

f(0) = 0 - 1 = -1

Additionally, the x-intercept is the value of x when f(x) is equal to 0. So, replacing f(x) by 0 and solving for x, we get:

0 = log(2x + 1) - 1\\1 = log(2x + 1)\\10^1=10^{log(2x + 1)}\\10 = 2x + 1\\10 - 1 = 2x\\4.5 = x

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Express the recurring decimal 0.042 as a fraction in its simplest form.
rodikova [14]

Answer:

7/165

Step-by-step explanation:

This is a mixed recurring decimal (the zero is not repeating)

We take number after the decimal point     042

then we subtract  the non repeating.In this case is 0 so we not subtract anything

This will be the numerator  42

Now ,the denominator:

For each repeating decimal we write a 9 (in this case 2 nines)

For each non repeating decimal we write a zero

Denominator is 990

42/990  =  7/165

7:165 = 0.0424242......

5 0
3 years ago
OK SO HERES THE PROBLEM. MY BRAIN HURTS. PLZZZ help me with this math problem
jeka57 [31]

Oh Foxy, Foxy, how totally debilitated you must be !  Try to relax.  Nobody
enjoys a painful brain, and believe me, this problem is not worth it.

Let me put it to you this way:  What if the problem said . . .

-- Demarcus has $8 more than his sister.
-- His sister has $4.
-- How much money ' M ' does Demarcus have ?

If your brain didn't hurt, you could quickly solve this right in there.
You would know that Demarcus' money ' M ' = 8 + 4 .

That's <em>almost </em>exactly what the problem <em>does</em> say. 
Except it doesn't say he has "$8 more than his sister",
it says he has "at least" that much.
So you know that ' M ' is not exactly = 8 + 4, but that's the <u>least</u> it could be.
The actual amount of ' M ' is <u>more</u> than that.

Surely you can handle it from here, even with half of your brain
tied behind your back.

Take a good hard look at ' A ', and then go lie down.


7 0
3 years ago
How many edges does a square pyramid have?
Paul [167]

Answer:

8

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
Bruce would like to buy a pair of shoes that cost $155. He already has $35. His mom will pay him $20 a week to do chores around
elixir [45]

Answer:

155=35= 120

120+20x=155

Step-by-step explanation:

3 0
3 years ago
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87 is what percent of 66
kozerog [31]
131.818182% and can round to 131.82
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3 years ago
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