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irga5000 [103]
3 years ago
7

If the graph of y = lxl is translated so that the point (1, 1) is moved to (1.4), what is the equation of the new graph?

Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0

Answer:

y = |x| + 3.

Step-by-step explanation:

The movement of  the y value from 1 to 4 is  a translation  of 3 units upwards.

The graph  is y = |x| + 3.

You might be interested in
Exponential and log Equations<br><br> 1. 2log(2x)=7
ElenaW [278]
X = 1581.13883 is your answer
8 0
2 years ago
The South Coast Air Basin (Los Angeles, Orange, and San Bernardino counties) does not meet the air quality standards for carbon
Archy [21]

Answer:

0.2225 gr/mile

Step-by-step explanation:

Let's work out first the amount of CO sent out in 1990.

The population we estimated in 12.5 million people with a total of driven miles per year of about  

12.5 million*8,700 = 108,750 million miles.

With an CO emission factor of 0.9 g per mile, we would have a total of CO emitted rounding 0.9*180,750 = 97,875 million grams

Now, we must estimate the population for 2020.

Since we are assuming an exponential growth, the population in year t is given by a function

\bf P(t)= Ce^{kt}

where C and k are constants to be determined.

We can take 1980 as year 0. This way calculations are lighter. 1990 is year 10 and 2020 is year 20.

So P(0) = 10.3 and C=10.3

So far we have

\bf P(t)= 10.3e^{kt}

Given that P(10)=12.5

\bf 10.3e^{k*10}=12.5\rightarrow e^{10k}=\frac{12.5}{10.3}=1.21359\rightarrow \\10k=log(1.21359)\rightarrow k=0.01936

And the function that models the population growth is

\bf P(t)= 10.3e^{0.01936t}

We need P(20)

\bf P(20)= 10.3e^{0.01936*20}=10.3e^{0.38717}=15.17\;million

If the miles driven per person per year remains constant at 8700 mi/yr.person, then we have a total miles driven of

15.17*8,700=131,979 million miles, so the CO emitted would be 0.9*131,979=118,781.1 million grams.

The 30% of the CO sent out in 1990 is 0.3*97,875=29,362.5 million grams.

We must reduce 118,781.1 down to 29,362.5

Hence the new CO emission factor would be

29,362.5/131,979 = 0.2225 gr/mile

6 0
3 years ago
How do i do this? Its confusing
cestrela7 [59]

Answer:

$12,415.48

Step-by-step explanation:

A = P (1 + r/n)^(nt)

where A is the final amount,

P is the initial amount,

r is the annual interest rate as a decimal,

n is the number of compoundings per year,

and t is the number of years.

A = 8000 (1 + 0.152/2)^(2×3)

A = 8000 (1.076)^6

A = 12415.48

5 0
3 years ago
A classroom had 8 rows of desks with 6 desks in each row. Four desks were removed from the room. How many desks were left?
Oduvanchick [21]
Answer: 44 desks.

First of all, you need to find how many desks there are in total. To find it, you need to multiply 8 with 6.

8 x 6 = 48

Next, it says that four desks were removed. All you need to do is subtract 4 from 48.

48 - 4 = 44.
5 0
3 years ago
Out of 83 children, 39 are boys and 55 have been
Crank
Sounds like an id 10 t problem
5 0
3 years ago
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