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r-ruslan [8.4K]
3 years ago
12

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer: no solution

Step-by-step explanation:

They have the same slope which means they are parallel lines that will never cross or intersect. This mean that there is no solution

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Evaluate the function at the given numbers( correct to six decimal places). Use the results to guess the value of the limit or e
netineya [11]

Answer:

Value of the limit is 0.5.

Step-by-step explanation:

Given,

F(x)=\frac{e^x-1-x}{x^2}

When,

x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281

x=0.5, F(0.5)=\frac{e^0.5-1-0.5}{(0.5)^2}=0.594885

x=0.1, F(0.1)=\frac{e^0.1-1-0.1}{(0.1)^2}=0.517091

x=0.05, F(0.05)=\frac{e^0.05-1-0.05}{(0.05)^2}=0.508438

x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)

Correct upto six decimal places.

Now,

\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}   (\frac{0}{0}) form, applying L-Hospital rule that is differentiating numerator and denominator we get,

\lim_{x\to 0}F(x)

=\lim_{x\to 0}\frac{e^x-1}{2x}    (\frac{0}{0}) form.

=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)

Limit exist and is 0.5. That is according to (1) we can see as the value of x lesser than 1 and tending to near 0, value of the function decreases respectively. And from (2) it shows ultimately it decreases and reach at 0.5, consider as limit point of F(x).  

8 0
3 years ago
Across which Axis was point H reflected?
Vedmedyk [2.9K]

Answer:

X - axis

Step-by-step explanation:

H(9, - 1) \rightarrow H'(9, 1)

Since in the above reflection x coordinate remains the same and y-coordinate changes from 1 to - 1, hence point H is reflecting across X - axis.

4 0
3 years ago
An employee puts 10000 in a retirement account that offers 4% interest. How much will he have in 12 years
steposvetlana [31]

Answer:

14800

Step-by-step explanation:

The formula for simple interest (I) in terms of principal (P), rate (R) and time (T) is given as follows;

I = P x R x T / 100         ------------- (i)

Given:

Principal (P) = Initial amount being put into the account = 10000

Rate (R) = The interest rate being offered by the account manager = 4%

Time (T) = Time taken = 12 years

Substitute these values into equation (i) as follows:

I = 10000 x 4 x 12 / 100

I = 4800

Therefore, the initial amount will yield an interest of 4800 for those 12 years.

The total amount the employee will thus have in 12 years will be the sum of the initial amount and the interest. i.e

Amount = P + I

Amount = 10000 + 4800

Amount = 14800

4 0
2 years ago
Combine like terms. 8x-x
Lelu [443]
[tex]8x - x \\ 8 (0)


hope this help
brainliest plz
4 0
2 years ago
Read 2 more answers
Keith writes the numbers 1 to 20 on pieces of paper and places them in a hat.
sesenic [268]
To get the answer use what you know divide it and use Algebra if you know any and also ask for help scan your math that’s what Brainly is for trust me
4 0
2 years ago
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