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2 years ago

HELP PLZ!

Mathematics

1 answer:

Elza [17]2 years ago

3 0

Answer:

$-5 = y$

Step-by-step explanation:

{y = 6x − 11

{y = x² + 4x − 10

x² + 4x − 10 = 6x − 11

- [6x − 11] - [6x − 11]

________________________

x² - 2x + 1

${[x - 1]}^{2} = 0$

1 = x [Plug this back into both equations above to get the y-coordinate of −5]; −5 = y

I am joyous to assist you anytime.

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2 years ago

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).

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3 years ago

What is 15 1/8 - 1 3/5

AnnZ [28]

15 1/8 -1 3/5=
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605/40 - 64/40=
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Answer:13 21/40

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3 years ago

Read 2 more answers

In circle A, CD = 25 cm and KL = 25 cm. If m = 110° and m = (2x − 10)°, what is the value of x?

Alex777 [14]

X equals 60 because 2x60=120. and 120-10=110

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2 years ago

Dr. Graves placed the Venn Diagram and list of numbers on the board.

Yuri [45]

Answer:

Step-by-step explanation:

List of numbers on the board:

-0.24, 5/17, 287, 1.3, -91, -2 2/5

We can split the numbers as following

Rational numbers:

All listed

Integers:

287 and -91

Whole numbers:

Correct diagram is J

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2 years ago