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user100 [1]
3 years ago
8

If lim(x->3) f(x)=7, which of the following must be true?

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0
<span>If lim(x->3) f(x)=7, then </span><span>f(3) = 7.</span>
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Consider the linear equation 2x - 3y = -12 graph the points
levacccp [35]

The graph of linear equation 2x - 3y = -12 is as shown below.

I this question, we have been given a linear equation 2x - 3y = -12

We need to graph the points.

For x = 1,

2(1) - 3y = -12

2 - 3y = -12

-3y = -14

y = 14/3

For x = 0,

2(0) - 3y = -12

y = (-12)/(-3)

y = 4

For x = -1,

2(-1) - 3y = -12

-3y = -12 + 2

y = (-10) / (-3)

y = 10/3

So, we get coordinates (1, 14/3), (0, 4) and (-1, 10/3)

Now we plot these points.

The graph of linear equation 2x - 3y = -12 is as shown below.

Learn more about the linear equation here:

brainly.com/question/23832475

#SPJ1

4 0
1 year ago
Daniel invests $2,037 in a retirement account with a fixed annual interest rate of 6% compounded 6 times per year. What will the
notka56 [123]

Answer:

\$5294.72

Step-by-step explanation:

GIVEN: Daniel invests \$2,037 in a retirement account with a fixed annual interest rate of 6\% compounded 6 times per year.

TO FIND: What will the account balance be after 16 years

SOLUTION:

Amount invested by Daniel =\$2037

Annual interest rate =6\%      

Total amount generated by compound interest is  =P(1+\frac{r}{n})^n^t

Here Principle amount P=\$2037

rate of interest r=6\%

number of times compounding done in a year n=6

total duration of time nt=16\text{ years}

putting values we get

=2037(1+\frac{6}{6\times100})^1^6

=2037(\frac{101}{100})^1^6

=\$5294.72

Hence the total balance after 16\text{ years} will be \$5294.72

4 0
2 years ago
Free points to y'all. 1+1+1*0​
DiKsa [7]
I think it’s probably 12
7 0
3 years ago
Read 2 more answers
Saint Petersburg, Russia and Anchorage, Alaska, both have approximately the same latitude of 60 degrees. That means you can reac
user100 [1]

Answer:

Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) = 10,002.47 KM

Step-by-step explanation:

As earth is a sphere of radius 6371 km.

Therefore at 60 degree latitude, the radius of circle can be calculated as shown below:

= 6371 * Cos 60

= 3185.5 KM

Saint Petersburg is nearly 180 degree about Anchorage by flying directly east.

So Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) can be calculated as shown below:

= (180 * 2 * 3.1416 * 3185.5) / 360

= 10,002.47 KM

5 0
3 years ago
Simplify ........ (256y²⁵⁶) ⅛<br>help asap!!!!!​
AVprozaik [17]

Answer:

2y^32

Step-by-step explanation:

Since 2^8 = 256, the eighth root of 256 is 2.

Next, we find the power of y by multiplying 256 and 1/8:  result is 32.

Complete answer:  2y^32

7 0
3 years ago
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